Question 1

Find the derivative of the function. g (v) = cos v - 8v sec v

Accepted Answer

A) -sin v - 8 sec v - 8v sec v tan v 
B) -sin v - 8 sec v - 8v sec v cotv 
C) sin v - 8 sec v - 8v sec v tan v 
D) sin v - 8 sec v - 8v sec v cotv 
A) -sin v - 8 sec v - 8v sec v tan v 
B) -sin v - 8 sec v - 8v sec v cotv 
C) sin v - 8 sec v - 8v sec v tan v 
D) sin v - 8 sec v - 8v sec v cotv

Question 2

Use differentials to estimate the amount of paint needed to apply a coat of paint   cm thick to a hemispherical dome with diameter   m.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

If   , find   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

A plane flying horizontally at an altitude of 1 mi and a speed of   mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Find the linearization of a suitable function, and then use it to approximate the number.
sin 0.3

Accepted Answer

The answer of Find the linearization of a suitable function,...

Question 6

If

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these 
A)    
B)    
C)    
D)    
E) None of these

Question 7

The position function of a particle is given by   When does the particle reach a velocity of 22 m/s?

Accepted Answer

The answer of The position function of a particle is...

Question 8

The level of nitrogen dioxide present on a certain June day in downtown Megapolis is approximated by   where A(t) is measured in pollutant standard index and t is measured in hours with
  corresponding to 7 a.m.What is the average level of nitrogen dioxide in the atmosphere from 1 a.m. to 2 p.m.on that day? Round to three decimal places.

Accepted Answer

153.037 po

Question 9

Find the instantaneous rate of change of the function   when

Accepted Answer

A)    
B) 3 
C) 9 
D)    
A)    
B) 3 
C) 9 
D)

Question 10

Find the differential of the function.

Accepted Answer

The answer of Find the differential of the function. ...

Question 11

A circle's radius is increasing. Find the rate of change of the area of the circle with respect to the radius r when

Accepted Answer

The answer of A circle's radius is increasing. Find the...

Find the derivative of the function. g (v) = cos v - 8v sec v

Use differentials to estimate the amount of paint needed to apply a coat of paint cm thick to a hemispherical dome with diameter m.

If , find .

A plane flying horizontally at an altitude of 1 mi and a speed of mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

Find the linearization of a suitable function, and then use it to approximate the number. sin 0.3

If

The position function of a particle is given by When does the particle reach a velocity of 22 m/s?

Find the instantaneous rate of change of the function when

Find the differential of the function.

A circle's radius is increasing. Find the rate of change of the area of the circle with respect to the radius r when

Functions and Limits

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

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Exam 2: Derivatives

Find the derivative of the function. g (v) = cos v - 8v sec v

Use differentials to estimate the amount of paint needed to apply a coat of paint cm thick to a hemispherical dome with diameter m.

If , find .

A plane flying horizontally at an altitude of 1 mi and a speed of mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

Find the linearization of a suitable function, and then use it to approximate the number. sin 0.3

If

The position function of a particle is given by When does the particle reach a velocity of 22 m/s?

Find the instantaneous rate of change of the function when

Find the differential of the function.

A circle's radius is increasing. Find the rate of change of the area of the circle with respect to the radius r when

Functions and Limits

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

Filters