تكلم مع الذكاء الاصطناعي
Deck 10: Section 3: Conics, Parametric Equations, and Polar Coordinates
ملء الشاشة (f)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Find the area of the surface generated by revolving the curve about the given axis. 
(i) x-axis; (ii) y-axis
A)
B)
C)
D)
E)
(i) x-axis; (ii) y-axisA)
B)
C)
D)
E)
سؤال
Find the arc length of the curve on the given interval. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The path of a projectile is modeled by the parametric equations 
and 
where x and y are measured in feet. Use a graphing utility to approximate the range of the projectile. Round your answer to two decimal places.
A) 312.85 ft
B) 521.42 ft
C) 131.09 ft
D) 391.06 ft
E) 195.53 ft
and where x and y are measured in feet. Use a graphing utility to approximate the range of the projectile. Round your answer to two decimal places.A) 312.85 ft
B) 521.42 ft
C) 131.09 ft
D) 391.06 ft
E) 195.53 ft
سؤال
Determine the t intervals on which the curve 
is concave downward or concave upward.
A) concave downward:
; concave upward: 
B) concave downward:
; concave upward: 
C) concave downward:
D) concave upward:
E) concave downward:
is concave downward or concave upward.A) concave downward:
; concave upward: B) concave downward:
; concave upward: C) concave downward:
D) concave upward:
E) concave downward:
سؤال
Find the arc length of the curve on the given interval. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find 
and 
if possible, and find the slope and concavity (if possible) at the point corresponding to t = 5. 
A)
: slope 
and concave up
B)
slope -6 and concave down
C)
slope 14 and concave up
D)
: slope 6 and concave down
E)
: slope 
and concave up
and if possible, and find the slope and concavity (if possible) at the point corresponding to t = 5. A)
: slope and concave upB)
slope -6 and concave downC)
slope 14 and concave upD)
: slope 6 and concave downE)
: slope and concave up سؤال
Find 
and 
if possible, and find the slope and concavity (if possible) at the point corresponding to 
. 
A)
at 
: slope 1 and concave down
B)
at 
: slope 
and concave down
C)
at 
: slope 
and concave up
D)
at 
: slope 1 and concave up
E)
at 
: slope of 
and concave down
and if possible, and find the slope and concavity (if possible) at the point corresponding to . A)
at : slope 1 and concave downB)
at : slope and concave downC)
at : slope and concave upD)
at : slope 1 and concave upE)
at : slope of and concave down سؤال
Find the area of the surface generated by revolving the curve 
about the x-axis on the interval 
.
A)
B)
C)
D)
E)
about the x-axis on the interval .A)
B)
C)
D)
E)
سؤال
The path of a projectile is modeled by the parametric equations 
and 
where x and y are measured in feet. Use the integration capabilities of a graphing utility to approximate the arc length of the path. Round your answer to one decimal place.
A) 387.2 ft
B) 595.8 ft
C) 335.0 ft
D) 269.9 ft
E) 465.4 ft
and where x and y are measured in feet. Use the integration capabilities of a graphing utility to approximate the arc length of the path. Round your answer to one decimal place.A) 387.2 ft
B) 595.8 ft
C) 335.0 ft
D) 269.9 ft
E) 465.4 ft
سؤال
Find the arc length of the curve on the given interval. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Find all points (if any) of horizontal and vertical tangency to the curve 
.
A) horizontal tangents:
, vertical tangent: none
B) horizontal tangent: none, vertical tangents:
C) horizontal tangents:
, vertical tangent: none
D) horizontal tangent: none, vertical tangents:
E) horizontal tangent: none, vertical tangent: none
.A) horizontal tangents:
, vertical tangent: noneB) horizontal tangent: none, vertical tangents:
C) horizontal tangents:
, vertical tangent: noneD) horizontal tangent: none, vertical tangents:
E) horizontal tangent: none, vertical tangent: none
سؤال
Find the arc length of the curve 
on the interval 
. Round your answer to three decimal places.
A) 287.453
B) 191.635
C) 193.606
D) 66.480
E) 99.721
on the interval . Round your answer to three decimal places.A) 287.453
B) 191.635
C) 193.606
D) 66.480
E) 99.721
سؤال
Find an equation of the tangent line at a point 
on the curve 
.
A)
B)
C)
D)
E)
on the curve .A)
B)
C)
D)
E)
سؤال
Find the second derivative 
of the parametric equations 
. Round your answer to two decimal places, if necessary.
A) 0
B) 2.00
C)
D) 0.50
E)
of the parametric equations . Round your answer to two decimal places, if necessary.A) 0
B) 2.00
C)
D) 0.50
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Find all points (if any) of horizontal and vertical tangency to the curve 
.
A) horizontal tangents:
, vertical tangents: 
B) horizontal tangents:
, vertical tangents: 
C) horizontal tangent:
, vertical tangent: 
D) horizontal tangents:
, vertical tangents: 
E) horizontal tangent:
, vertical tangent: 
.A) horizontal tangents:
, vertical tangents: B) horizontal tangents:
, vertical tangents: C) horizontal tangent:
, vertical tangent: D) horizontal tangents:
, vertical tangents: E) horizontal tangent:
, vertical tangent: سؤال
Determine the t intervals on which the curve 
is concave downward or concave upward.
A) concave downward:
; concave upward: 
B) concave downward:
; concave upward: 
C) concave downward:
; concave upward: 
D) concave downward:
; concave upward: 
E) concave downward:
; concave upward: 
is concave downward or concave upward.A) concave downward:
; concave upward: B) concave downward:
; concave upward: C) concave downward:
; concave upward: D) concave downward:
; concave upward: E) concave downward:
; concave upward: سؤال
Find the second derivative 
of the parametric equations 
.
A)
B)
C)
D)
E)
of the parametric equations .A)
B)
C)
D)
E)
سؤال
Find the area of the surface generated by revolving the curve 
about the y-axis on the interval 
. Round your answer to two decimal places.
A) 1427.12
B) 1178.96
C) 1049.37
D) 589.48
E) 1898.04
about the y-axis on the interval . Round your answer to two decimal places.A) 1427.12
B) 1178.96
C) 1049.37
D) 589.48
E) 1898.04
سؤال
Find the area of the surface generated by revolving the curve about the given axis. 
(i) x-axis; (ii) y-axis
A)
B)
C)
D)
E)
(i) x-axis; (ii) y-axisA)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 10: Section 3: Conics, Parametric Equations, and Polar Coordinates
1
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
2
Find the area of the surface generated by revolving the curve about the given axis. (i) x-axis; (ii) y-axis
A)
B)
C)
D)
E)
(i) x-axis; (ii) y-axisA)
B)
C)
D)
E)
3
Find the arc length of the curve on the given interval.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
The path of a projectile is modeled by the parametric equations and where x and y are measured in feet. Use a graphing utility to approximate the range of the projectile. Round your answer to two decimal places.
A) 312.85 ft
B) 521.42 ft
C) 131.09 ft
D) 391.06 ft
E) 195.53 ft
and where x and y are measured in feet. Use a graphing utility to approximate the range of the projectile. Round your answer to two decimal places.A) 312.85 ft
B) 521.42 ft
C) 131.09 ft
D) 391.06 ft
E) 195.53 ft
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5
Determine the t intervals on which the curve is concave downward or concave upward.
A) concave downward: ; concave upward:
B) concave downward: ; concave upward:
C) concave downward:
D) concave upward:
E) concave downward:
is concave downward or concave upward.A) concave downward:
; concave upward: B) concave downward:
; concave upward: C) concave downward:
D) concave upward:
E) concave downward:
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6
Find the arc length of the curve on the given interval.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Find and if possible, and find the slope and concavity (if possible) at the point corresponding to t = 5.
A) : slope and concave up
B) slope -6 and concave down
C) slope 14 and concave up
D) : slope 6 and concave down
E) : slope and concave up
and if possible, and find the slope and concavity (if possible) at the point corresponding to t = 5. A)
: slope and concave upB)
slope -6 and concave downC)
slope 14 and concave upD)
: slope 6 and concave downE)
: slope and concave up فتح الحزمة
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8
Find and if possible, and find the slope and concavity (if possible) at the point corresponding to .
A) at : slope 1 and concave down
B) at : slope and concave down
C) at : slope and concave up
D) at : slope 1 and concave up
E) at : slope of and concave down
and if possible, and find the slope and concavity (if possible) at the point corresponding to . A)
at : slope 1 and concave downB)
at : slope and concave downC)
at : slope and concave upD)
at : slope 1 and concave upE)
at : slope of and concave down فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 22 في هذه المجموعة.
فتح الحزمة
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9
Find the area of the surface generated by revolving the curve about the x-axis on the interval .
A)
B)
C)
D)
E)
about the x-axis on the interval .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 22 في هذه المجموعة.
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10
The path of a projectile is modeled by the parametric equations and where x and y are measured in feet. Use the integration capabilities of a graphing utility to approximate the arc length of the path. Round your answer to one decimal place.
A) 387.2 ft
B) 595.8 ft
C) 335.0 ft
D) 269.9 ft
E) 465.4 ft
and where x and y are measured in feet. Use the integration capabilities of a graphing utility to approximate the arc length of the path. Round your answer to one decimal place.A) 387.2 ft
B) 595.8 ft
C) 335.0 ft
D) 269.9 ft
E) 465.4 ft
فتح الحزمة
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11
Find the arc length of the curve on the given interval.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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13
Find all points (if any) of horizontal and vertical tangency to the curve .
A) horizontal tangents: , vertical tangent: none
B) horizontal tangent: none, vertical tangents:
C) horizontal tangents: , vertical tangent: none
D) horizontal tangent: none, vertical tangents:
E) horizontal tangent: none, vertical tangent: none
.A) horizontal tangents:
, vertical tangent: noneB) horizontal tangent: none, vertical tangents:
C) horizontal tangents:
, vertical tangent: noneD) horizontal tangent: none, vertical tangents:
E) horizontal tangent: none, vertical tangent: none
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 22 في هذه المجموعة.
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14
Find the arc length of the curve on the interval . Round your answer to three decimal places.
A) 287.453
B) 191.635
C) 193.606
D) 66.480
E) 99.721
on the interval . Round your answer to three decimal places.A) 287.453
B) 191.635
C) 193.606
D) 66.480
E) 99.721
فتح الحزمة
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15
Find an equation of the tangent line at a point on the curve .
A)
B)
C)
D)
E)
on the curve .A)
B)
C)
D)
E)
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16
Find the second derivative of the parametric equations . Round your answer to two decimal places, if necessary.
A) 0
B) 2.00
C)
D) 0.50
E)
of the parametric equations . Round your answer to two decimal places, if necessary.A) 0
B) 2.00
C)
D) 0.50
E)
فتح الحزمة
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17
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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18
Find all points (if any) of horizontal and vertical tangency to the curve .
A) horizontal tangents: , vertical tangents:
B) horizontal tangents: , vertical tangents:
C) horizontal tangent: , vertical tangent:
D) horizontal tangents: , vertical tangents:
E) horizontal tangent: , vertical tangent:
.A) horizontal tangents:
, vertical tangents: B) horizontal tangents:
, vertical tangents: C) horizontal tangent:
, vertical tangent: D) horizontal tangents:
, vertical tangents: E) horizontal tangent:
, vertical tangent: فتح الحزمة
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19
Determine the t intervals on which the curve is concave downward or concave upward.
A) concave downward: ; concave upward:
B) concave downward: ; concave upward:
C) concave downward: ; concave upward:
D) concave downward: ; concave upward:
E) concave downward: ; concave upward:
is concave downward or concave upward.A) concave downward:
; concave upward: B) concave downward:
; concave upward: C) concave downward:
; concave upward: D) concave downward:
; concave upward: E) concave downward:
; concave upward: فتح الحزمة
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20
Find the second derivative of the parametric equations .
A)
B)
C)
D)
E)
of the parametric equations .A)
B)
C)
D)
E)
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21
Find the area of the surface generated by revolving the curve about the y-axis on the interval . Round your answer to two decimal places.
A) 1427.12
B) 1178.96
C) 1049.37
D) 589.48
E) 1898.04
about the y-axis on the interval . Round your answer to two decimal places.A) 1427.12
B) 1178.96
C) 1049.37
D) 589.48
E) 1898.04
فتح الحزمة
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22
Find the area of the surface generated by revolving the curve about the given axis. (i) x-axis; (ii) y-axis
A)
B)
C)
D)
E)
(i) x-axis; (ii) y-axisA)
B)
C)
D)
E)
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