# Calculus Early Transcendentals

Mathematics

## Quiz 4 :Applications of Differentiation

Question Type
A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut for the square so that the total area enclosed is a minimum? Round your answer to the nearest hundredth.
Free
Multiple Choice

A

Tags
Choose question tag
The sum of two positive numbers is . What is the smallest possible value of the sum of their squares?
Free

Tags
Choose question tag
Find the point on the line that is closest to the origin.
Free
Multiple Choice

A

Tags
Choose question tag
Find the most general antiderivative of the function.
Tags
Choose question tag
A car braked with a constant deceleration of 40 , producing skid marks measuring 60 ft before coming to a stop. How fast was the car traveling when the brakes were first applied?
Tags
Choose question tag
Find the most general antiderivative of the function.
Multiple Choice
Tags
Choose question tag
A woman at a point A on the shore of a circular lake with radius wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible time. She can walk at the rate of and row a boat at . How should she proceed? (Find ). Round the result, if necessary, to the nearest hundredth.
Multiple Choice
Tags
Choose question tag
Given that the graph of f passes through the point (4, 69) and that the slope of its tangent line at is , find f (1) .
Multiple Choice
Tags
Choose question tag
Use Newton's method with the specified initial approximation to find , the third approximation to the root of the given equation. (Round your answer to four decimal places.)
Multiple Choice
Tags
Choose question tag
Find the position function of a particle moving along a coordinate line that satisfies the given conditions. , s (0) = 5, v (0) = 0
Tags
Choose question tag
Find f.
Tags
Choose question tag
Use Newton's method to approximate the given number correct to eight decimal places.
Multiple Choice
Tags
Choose question tag
Use Newton's method with the specified initial approximation to find , the third approximation to the root of the given equation. (Round your answer to four decimal places.)
Multiple Choice
Tags
Choose question tag
A particle is moving with the given data. Find the position of the particle. ,
Multiple Choice
Tags
Choose question tag
What constant acceleration is required to increase the speed of a car from 20 ft/s to 45 ft/s in s?
Tags
Choose question tag
Use Newton's method with the specified initial approximation to find , the third approximation to the root of the given equation. (Give your answer to four decimal places.)
Tags
Choose question tag
Find the position function of a particle moving along a coordinate line that satisfies the given condition. , s(1) = -1
Tags
Choose question tag
Use Newton's method to approximate the indicated root of in the interval , correct to six decimal places.Use as the initial approximation.