19 Answered Questions for the topic Calculus II

Calculus Ii Math Calculus Precalculus

07/02/21

A police car is located 70 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 160 feet up the road from the location of the police car.

A police car is located 70 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 160 feet up the road from the location of the police... more
Calculus Ii Math Calculus Precalculus

07/02/21

A circle is inside a square. The radius of the circle is increasing at a rate of 2 meters per hour and the sides of the square are decreasing at a rate of 4 meters per hour.

A circle is inside a square. The radius of the circle is increasing at a rate of 2 meters per hour and the sides of the square are decreasing at a rate of 4 meters per hour. When the radius is 5... more
Calculus Ii Math Calculus Precalculus

03/20/21

What is the limit as x approaches infinity of sqrt(4x^2 - 3x - 2x) ?

What is the limit as x approaches infinity of sqrt(4x^2 - 3x - 2x) ?
Calculus Ii Math Calculus Precalculus

03/20/21

What is the limit as x approaches infinity of (1 + x + 2x^5)/(x^5 - 5x^2 +1) ?

What is the limit as x approaches infinity of (1 + x + 2x^5)/(x^5 - 5x^2 +1) ?
Calculus Ii Math Calculus Precalculus

03/20/21

By using the correct theorems show that 3 x - 4 = cos has at least one real root and at most one real root

Consider the equation 3 x − 4 = cosx. Please show (by referring to the correct Theorems and verifying that their assumptions are satsified!) that the equation has(a) at least one real root.(b) at... more
Calculus Ii Math Calculus Precalculus

03/20/21

A rectangular storage container with an open top is to have a volume of 10 m^3 . The length of its base is three times the width. Material for the base costs $10 per square meter.

A rectangular storage container with an open top is to have a volume of 10 m^3. The length of its base is three times the width. Material for the base costs $10 per square meter. Material for the... more
Calculus Ii Math Calculus Precalculus

03/20/21

Find the function f whose 2nd derivative is f ' ' (x) = x^3 + 2x^2 + 4 and which has the boundary values f (0) = 1, and f (1) = 3

Find the function f whose 2nd derivative is f ' ' (x) = x^3 + 2x^2 + 4 and which has the boundary values f (0) = 1, and f (1) = 3
Calculus Ii Math Calculus Trigonometry

03/20/21

Use Newton’s Method to approximate the positive zero of 2 sin x = x − 2 correctly to six decimal places

Use Newton’s Method to approximate the positive zero of 2sinx = x − 2 correctly to six decimal places
Calculus Ii Math Calculus Precalculus

03/20/21

Why does (x+ 1)/(1 +x^2) for x ∈ [0,4] have both an absolute min and max on [0,2] and determine the absolute extrema on [0,2].

Consider the function f (x) := (x+ 1)/(1 +x^2) for x ∈ [0,4].(a)Why does f possess both an absolute maximum and an absolute minimum on the interval[0,2]?(b)Please determine the absolute extrema of... more
Calculus Ii Calculus

02/03/21

Partial Fractions Calculus II

Please help me understand how to find the integral of (1)/(x^3+2x^2+3x). Test is tomorrow pls help.
Calculus Ii

06/24/20

evaluate the indefinite integral sqrt(4-x^2)/x^2 using trigonometric substitution and the triangle thing idk

get stuck after getting the integral of cot^2theta dtheta.
Calculus Ii

06/22/20

integrate sin^2xcos^4x dx

getting different answers on every website! please help
Calculus Ii

04/02/20

solve the following integration

1 Evaluate ∫(2𝑥 3 − 𝑥) 4 (6𝑥 2 − 1)𝑑𝑥 (3 marks) 2. Evaluate ∫ 𝑥𝑠𝑒𝑐2 (3𝑥 2 − 1)𝑑𝑥 (3 marks) 3. A rocket is shot straight up into the air with an initial velocity of 256 feet per second. a) When... more
Calculus Ii

03/27/20

Find the volume of the solid

Find the volume of the solid by revolving the region
Calculus Ii

03/27/20

Find the force on the plate due to hydrostatic pressure?

A rectangle plate of radius 4 m is submerged horizontally
Calculus Ii Math Calculus Math Help

10/02/19

Find the integral?

Evaluate the integral 7/(w^2+3w+3) dw.Here's my work:I've completed the square and came up with this:∫ 7/[(w+3/2)^2+3/4] dw----------------------------------where u=w+3/2 and du=dw.So ∫ 7/(u^2+3/4)... more
Calculus Ii Calculus

05/18/19

Maclaurin polynomial help!

Find the nth Maclaurin polynomial for the function.f(x) = e−x,    n = 4

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