Calculus: Series to Work

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Quiz on series, polar, and work

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Yaj Kotak

United States

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Froggy Jumps Calculus: Series to WorkOnline version Quiz on series, polar, and work by Yaj Kotak 1 1. A power series centered at x = a is generally written in which form? a sum of c b sum of cn x^n c sum of cn(x − a)^n 2 2. The radius of convergence of a power series tells you: a How fast the terms decrease b The interval where the series converges c Where the series equals zero 3 3. Which test is most commonly used to find the radius of convergence of a power series? a Integral Test b Comparison Test c Ratio Test 4 4. In polar coordinates, what does the variable r represent? a The horizontal distance b The vertical distance c The distance from the origin 5 5. Converting from polar to rectangular coordinates uses which relationships? a x = r cos(theta), y = r sin(theta) b r = x + y c x = r sin(theta), y = r cos(theta) 6 6. A parametric curve is defined by: a y as a function of x b x as a function of y c x and y both written in terms of a parameter 7 7. To find dy/dx for parametric equations x(t) and y(t), you compute: a dy/dt b (dy/dt) / (dx/dt) c (dx/dt) / (dy/dt) 8 8. The area enclosed by a polar curve r = f(theta) is found using: a An ordinary integral of r b 1/2 integral of r^2 dtheta c Double integral 9 9. Which method is used to find the volume of a solid of revolution using cross-sectional areas? a Line integral b Shell method c Disk or washer method 10 10. In applications of work in physics, work is calculated as: a Distance times acceleration b Integral of force with respect to distance c Force divided by distance

Froggy Jumps

Calculus: Series to WorkOnline version

Quiz on series, polar, and work

by Yaj Kotak

1. A power series centered at x = a is generally written in which form?

sum of c

sum of cn x^n

sum of cn(x − a)^n

2. The radius of convergence of a power series tells you:

How fast the terms decrease

The interval where the series converges

Where the series equals zero

3. Which test is most commonly used to find the radius of convergence of a power series?

Integral Test

Comparison Test

Ratio Test

4. In polar coordinates, what does the variable r represent?

The horizontal distance

The vertical distance

The distance from the origin

5. Converting from polar to rectangular coordinates uses which relationships?

x = r cos(theta), y = r sin(theta)

r = x + y

x = r sin(theta), y = r cos(theta)

6. A parametric curve is defined by:

y as a function of x

x as a function of y

x and y both written in terms of a parameter

7. To find dy/dx for parametric equations x(t) and y(t), you compute:

dy/dt

(dy/dt) / (dx/dt)

(dx/dt) / (dy/dt)

8. The area enclosed by a polar curve r = f(theta) is found using:

An ordinary integral of r

1/2 integral of r^2 dtheta

Double integral

9. Which method is used to find the volume of a solid of revolution using cross-sectional areas?

Line integral

Shell method

Disk or washer method

10. In applications of work in physics, work is calculated as:

Distance times acceleration

Integral of force with respect to distance

Force divided by distance

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Calculus: Series to Work

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Calculus: Series to WorkOnline version

by Yaj Kotak

1. A power series centered at x = a is generally written in which form?

2. The radius of convergence of a power series tells you:

3. Which test is most commonly used to find the radius of convergence of a power series?

4. In polar coordinates, what does the variable r represent?

5. Converting from polar to rectangular coordinates uses which relationships?

6. A parametric curve is defined by:

7. To find dy/dx for parametric equations x(t) and y(t), you compute:

8. The area enclosed by a polar curve r = f(theta) is found using:

9. Which method is used to find the volume of a solid of revolution using cross-sectional areas?

10. In applications of work in physics, work is calculated as:

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