1,125 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus Mathematics

04/14/22

calculus function question

The factored forms of f'(x) and f''(x) are shown below. f '(x) = e^(−x)[ (x − 3)^2 (x − 5)]f ''(x) = = −e ^(−x) [ (x − 7)(x − 3)(x − 4)]interval(s) where f(x) is increasing: ??interval(s) where... more
Ap Calculus Math Calculus Mathematics

04/08/22

Calculus 1 Problem

A boat leaves a dock at 2:00 PM and travels due south at a speed of 30 km/h. Another boat has been heading due east at 25 km/h and reaches the same dock at 4:00 PM. At what time were the two boats... more
Ap Calculus Math Calculus Sat Math

04/04/22

Need help with a calculus problem

The region bounded by y = x² and y= √x is revolved around the y-axis. What is the volume of the resulting solid?a. 9π/70b. 3π/10c. 2π/5d. 4π
Ap Calculus Math Calculus Sat Math

03/31/22

Need help on calculus problem

If , then y =
Ap Calculus Math Calculus Sat Math

03/31/22

Need help on calculus problem

If , what is the particular solution given that y = –2 when x = 0? a. y = x2 – 2xb. y = x2 – 2x – 1c. y = x2 – (2x)(ln 2)d. y = x2 – (2x – 1)(ln 2) – 2
Ap Calculus Math Calculus Sat Math

03/31/22

Need help on calculus problem

A company deposits $5,000 into an account that earns interest. The rate at which the account value changes is given by , where A(t) is the account value, in dollars, after t years. What will be the... more
Ap Calculus Math Calculus Sat Math

03/30/22

Need help on calculus problem

Let f be a function such that  and . What is the value of ?O 12O 14O 16O 18
Ap Calculus Math Calculus Mathematics

03/23/22

Calculus Related Rates Question

Water is leaking out of an inverted conical tank at a rate of 8500 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height of 12 ... more
Ap Calculus Math Calculus Mathematics

03/21/22

Calculus Related Rates Question

Helium is pumped into a spherical balloon at a rate of 4 cubic feet per second. How fast is the radius increasing after 2 minutes?Rate of change of radius (in feet per second) =  ???
Ap Calculus Math Calculus Precalculus

03/21/22

Marginal Cost of a produc

The marginal cost of a product is modeled bydC/dx= (14)/(cuberoot(14x+7)(a)where x is the number of units. When x = 15, C = 140.(b)Find the cost function. (Round your constant term to two decimal... more
Ap Calculus Math Calculus Precalculus

02/19/22

I need to know the detailed solution+explanation of this problem

The fifth term in the expansion of (ax+by)^n is 560x^3y^4. Find the values of a and b, given that a and b are integers. The solution book says that the binomial coefficient is 7 choose 4 which is... more
Ap Calculus Calculus

02/16/22

I don't understand how to set up integrals using the shell, disc, or washer method please help

Using the shell method, set up but do not evaluate the definite integral for the volume of the rotated solid: the region in the first quadrant bounded by y = -x3+3x2 is rotated about the... more

02/10/22

A chemist prepares a solution of copper(II) sulfate by measuring out 45.0 μmol of copper(II) sulfate into a .450 ml volumetric flask and filling the flask to the mark with water.

Calculate the concentration in μmol / L of the chemist's copper(II) sulfate solution. Round your answer to 3 significant digits.= ____ μmol / L

02/09/22

Liquid octane (CH3(CH2)6 (CH3) reacts with gaseous oxygen gas (O2) to produce gaseous carbon dioxide (CO2) and gaseous water (H2O).

If 8.68g of water is produced from the reaction of 29.7g of octane and 43.7g of oxygen gas, calculate the percent yield of water. Round your answer to 3 significant figures.= ____ %
Ap Calculus Calculus Ab Calculus

02/08/22

Solid of Revolution about Horizontal Line (Washer)

Let the region R be the area enclosed by the function f(x)=e^{x}+2 and g(x)=4x+3. Find the volume of the solid generated when the region R is revolved about the line y=2. You may use a calculator... more
Ap Calculus Math Calculus

02/07/22

Can you evaluate the integral without a calculator?

1∫ (x^(2))/(x^(3)-5) dx0
Ap Calculus Math Calculus

02/07/22

Use separation of variables to solve the initial value problem.

(dy)/(dx)=2xcos^(2)y; y(3)=0
Ap Calculus Math Calculus

02/07/22

Multiple Choice Calculus HW Question

2∫ (𝑥2−𝑥−5)/(𝑥+2) 𝑑𝑥=1a. (-3)/(2)+ln(4)/(3)b. (-25)/(21)c. (5)/(2)+3ln(3)/(4)d. (23)/(45)
Ap Calculus Math Calculus

02/07/22

Evaluate the indefinite integral:

∫(6x^(2)-4x-25)/(x-2) dx
Ap Calculus Calculus Precalculus

01/18/22

Ap Calc Acceleration, Velocity and Time

A rectangle has a length of 6 inches and a width of 7 inches whose sides are changing. The length is increasing by 7 in/sec and the width is shrinking at 2 in/sec. What is the rate of change of the... more
Ap Calculus

01/17/22

related rates (2 formulas)

The volume of a sphere is increasing at a constant rate of 139 cubic feet per second. At the instant when the volume of the sphere is 15 cubic feet, what is the rate of change of the surface area... more
Ap Calculus

01/13/22

Ap calculus Ab *plz help a friend out*

A right triangle has legs of 36 inches and 48 inches whose sides are changing. The short leg is increasing by 6 in/sec and the long leg is shrinking at 8 in/sec. What is the rate of change of the... more
Ap Calculus Calculus Bc Calculus

01/10/22

Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.

y = x2y = 6x − x2a. the x axisb, y=10

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