Chat with AIExam 3: Differentiation
Exam 1: Preparation for Calculus125 Questions
Exam 2: Limits and Their Properties85 Questions
Exam 3: Differentiation193 Questions
Exam 4: Applications of Differentiation154 Questions
Exam 5: Integration184 Questions
Exam 6: Differential Equations93 Questions
Exam 7: Applications of Integration119 Questions
Exam 8: Integration Techniques and Improper Integrals130 Questions
Exam 9: Infinite Series181 Questions
Exam 10: Conics, Parametric Equations, and Polar Coordinates114 Questions
Exam 11: Vectors and the Geometry of Space130 Questions
Exam 12: Vector-Valued Functions85 Questions
Exam 13: Functions of Several Variables173 Questions
Exam 14: Multiple Integration143 Questions
Exam 15: Vector Anal142 Questions
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If the annual rate of inflation averages 
over the next 
years, the approximate cost 
of goods or cervices during any year in that decade is 
where 
is the time in years and 
is the present cost. The price of an oil change for your car is presently 
. Estimate the price 
years from now. Round your answer to two decimal places.
over the next years, the approximate cost of goods or cervices during any year in that decade is where is the time in years and is the present cost. The price of an oil change for your car is presently . Estimate the price years from now. Round your answer to two decimal places. (Multiple Choice)
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The displacement from equilibrium of an object in harmonic motion on the end of a spring is 
where y is measured in feet and t is the time in seconds. Determine the position of the object when 
. Round your answer to two decimal places.
where y is measured in feet and t is the time in seconds. Determine the position of the object when . Round your answer to two decimal places. (Multiple Choice)
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. 
. An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider θ and x as shown in the following figure. Write θ as a function of x. 
(Multiple Choice)
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if 
. The volume of a cube with sides of length s is given by 
. Find the rate of change of volume with respect to s when 
centimeters.
. Find the rate of change of volume with respect to s when centimeters. (Multiple Choice)
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(39) 
. 
. Find the derivative of the function 
by the limit process.
by the limit process. (Multiple Choice)
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(33) Suppose a 20-centimeter pendulum moves according to the equation 
where 
is the angular displacement from the vertical in radians and t is the time in seconds. Determine the rate of change of 
when 
seconds. Round your answer to four decimal places.
where is the angular displacement from the vertical in radians and t is the time in seconds. Determine the rate of change of when seconds. Round your answer to four decimal places. (Multiple Choice)
4.8/5 (36)
(36) Find the derivative of the following function 
using the limiting process.
using the limiting process. (Multiple Choice)
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(36) Find the derivative of the function 
. Simplify your answer.
. Simplify your answer. (Multiple Choice)
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(34) 
. 
. 
at the point 
. A man 6 feet tall walks at a rate of 10 feet per second away from a light that is 15 feet above the ground (see figure). When he is 13 feet from the base of the light, at what rate is the tip of his shadow moving? 
(Multiple Choice)
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(38) Find an equation of the tangent line to the graph of f at the given point. 
, at 
, at (Multiple Choice)
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. 
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