Question 1

Evaluate the expression.  = __________

Accepted Answer

The answer of Evaluate the expression.  = __________...

Question 2

The concentration of a drug in an organ at any time t (in seconds) is given by  where x(t) is measured in grams/cubic centimeter  .Sketch the graph of x.
A) 
B) 
C)

Accepted Answer

The graph of x will be an exponential curve because of the e^(b*t) term. The coefficient 11 in front of the expression can be ignored as it only scales the graph vertically. Therefore, the only factor that affects the shape of the curve is the exponent b. To determine which choice is best, we need to consider the behavior of the graph as t increases.

Choice A has a negative exponent (b = -0.1) which means that as t increases, the term e^(-0.1*t) gets smaller and smaller. This corresponds to a decreasing concentration of the drug in the organ over time. This is a plausible scenario for a drug that is cleared from the body over time.

Choice B also has a negative exponent (b = -1) but the magnitude is much larger than in choice A. This means that the drug concentration will decrease much more rapidly over time. This situation is not very realistic as most drugs take some time to be eliminated from the body.

Choice C has a positive exponent (b = 0.1) which means that as t increases, the term e^(0.1*t) gets larger and larger. This corresponds to an increasing concentration of the drug in the organ over time. This situation is also not very realistic as most drugs are metabolized and eliminated from the body over time.

Therefore, choice A is the best choice as it corresponds to a plausible scenario for the behavior of drug concentration in an organ over time.

Question 3

The concentration of a drug in an organ at any time t (in seconds) is given by  where C(t) is measured in milligrams/cubic centimeter  .
What is the initial concentration of the drug in the organ?
__________  What is the concentration to four decimal places of the drug in the organ after 10 sec?
__________  What is the concentration to four decimal places of the drug in the organ after 30 sec?
__________  What will be the concentration of the drug in the long run?
__________

Accepted Answer

The answer of The concentration of a drug in an...

Question 4

Solve the equation for x.

Accepted Answer

The answer of Solve the equation for x. ...

Question 5

Evaluate the expression.  = __________

Accepted Answer

The answer of Evaluate the expression.  = __________...

Question 6

The concentration of a drug in an organ at any time t (in seconds) is given by  where C(t) is measured in milligrams/cubic centimeter  .What is the concentration to four decimal places of the drug in the organ after 15 sec?
A) 
B) 
C) 
D)

Accepted Answer

The answer of The concentration of a drug in an...

Question 7

Simplify the expression.

Accepted Answer

The answer of Simplify the expression. ...

Question 8

Simplify the expression.

Accepted Answer

The answer of Simplify the expression. ...

Question 9

Solve the equation for x.   __________

Accepted Answer

The answer of Solve the equation for x.  ...

Question 10

Simplify the expression.

Accepted Answer

The answer of Simplify the expression. ...

Question 11

Solve the equation for x.

Accepted Answer

The answer of Solve the equation for x. ...

Question 12

Solve the equation for x.

Accepted Answer

The answer of Solve the equation for x. ...

Question 13

Evaluate the expression.  = __________

Accepted Answer

The answer of Evaluate the expression.  = __________...

Question 14

The concentration of a drug in an organ at any time t (in seconds) is given by  where x(t) is measured in grams/cubic centimeter  . Select the graph of x.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of The concentration of a drug in an...

Question 15

Evaluate the expression.  = __________

Accepted Answer

The answer of Evaluate the expression.  = __________...

Question 16

Sketch the graphs of the functions on the same axes. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Sketch the graphs of the functions on...

Question 17

Solve the equation for x.

Accepted Answer

The answer of Solve the equation for x. ...

Question 18

Solve the equation for x.

Accepted Answer

The answer of Solve the equation for x. ...

Quiz 5: Exponential and Logarithmic Functions

Evaluate the expression. = __________

The concentration of a drug in an organ at any time t (in seconds) is given by where x(t) is measured in grams/cubic centimeter .Sketch the graph of x.

Solve the equation for x.

Evaluate the expression. = __________

The concentration of a drug in an organ at any time t (in seconds) is given by where C(t) is measured in milligrams/cubic centimeter .What is the concentration to four decimal places of the drug in the organ after 15 sec?

Simplify the expression.

Simplify the expression.

Solve the equation for x. __________

Simplify the expression.

Solve the equation for x.

Solve the equation for x.

Evaluate the expression. = __________

The concentration of a drug in an organ at any time t (in seconds) is given by where x(t) is measured in grams/cubic centimeter . Select the graph of x.

Evaluate the expression. = __________

Sketch the graphs of the functions on the same axes.

Solve the equation for x.

Solve the equation for x.