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25,270 Answered Questions for the topic calculus

Calculus

11/29/23

Percentage rate of growth

Suppose that the value of a company, in millions of dollars, is determined to be modeled by the function f(t)=0.9t+0.4e^-2t, where t is measured in years. To the nearest tenth, what is the... more

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Calculus

11/29/23

Find The interest rate

If an investment compounded continuously grows from $68,000 to $92,000 in five years, what is the interest rate to the nearest hundredth of a percent?

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Calculus Math

11/29/23

Find the derivative, implicit differentiation (no calculator)

Find dy/dx at the point (4,1) when 3xy2+4lny = x2-4y2.Answer choices:A. 11/36B. 5/36C. 11/20D. 5/20

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Calculus Math

11/29/23

Derivative, quotient, and exponential rules (no calculator)

Find dy/dx when ey=x2/y.Answer choices:A. dy/dx = 2y/(xy-x)B. dy/dx = (2y-xy)/xC. dy/dx = 2y/(xy+x)D. dy/dx = (2y+xy)/x

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Calculus Geometry

11/28/23

Find the volume of in the solid obtained by rotating the region in the first quadrant bounded by y=x^6, y=1, and the y-axis around the x-axis.

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Calculus

11/28/23

Don't know how to answer

If h(x)=√5+4f(x), where f(5)=5 and f'(5)=3, find h'(5).

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Calculus

11/28/23

Don't know how to do

If F(x)=f(g(x)), where f(−2)=8, f'(−2)=7, f'(−5)=2, g(−5)=−2 find F'(−5)

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Calculus

11/28/23

Concave up/down and inflection points

The function f(x)=x^3 - 3x^2 - 9xD. Where is the function f(x) concave up or down?E. What are the inflection points (x and y coordinates)?

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Calculus

11/28/23

Find the absolute max. and min. of each function

y=√4−x^2, (−2,1)f (theta)= sin theta, {-∏/2, 5∏/6}f(x)= 1/x + In x, [1/2, 4]

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Calculus

11/28/23

Calculus 5.5 U Substitution - Definite Integrals.

I need help solving a u sub definite integral question. I'll give a sample similar to it.∫ b value is pi/2 and a value is -pi/2 the function is (4x^3 * sin(4x))/(1+x^6) dx

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Calculus

11/27/23

I'm having trouble solving these U substitution problems. I still want to solve the main questions on my own so I'll give samples instead. If you could help me solve these I think I can get a grasp... more

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Calculus Math

11/27/23

A piece of wire 6 m long is cut into two pieces. One piece is bent into the shape of a circle of radius r and the other is bent into a square of side s.

A piece of wire 6 m long is cut into two pieces. One piece is bent into the shape of a circle of radius r and the other is bent into a square of side s. How should the wire be cut so that the total... more

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Calculus Math

11/27/23

A 25 y/o woman burns 100-70t cal/hr while walking on her treadmill. Her caloric intake from a drink is 50t cal during the t hour. What is her net decrease in calories after walking for 3 hours?

Question on the Fundamental Theorem of Calculus^

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Calculus Math

11/27/23

Calculus I (Antiderivatives & Indefinite Integration): A stone is thrown straight up from the edge of a roof, 625 feet above the ground, at a speed of 10 feet per second.

A stone is thrown straight up from the edge of a roof, 625 feet above the ground, at a speed of 10 feet per second.A. Remembering that the acceleration due to gravity is -32 feet per second... more

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Calculus

11/27/23

A stone is dropped from the upper observation deck of a tower, 100 m above the ground. (Assume g = 9.8 m/s2.)

(a)Find the distance (in meters) of the stone above ground at time t.s(t) = (b)How long does it take the stone to reach the ground? (Round your answer to two decimal places.)_ s(c)With what... more

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Calculus

11/27/23

Norman window has shape of a semicircle atop a rectangle so that the diameter of the semicircle is = to width of the rectangle. What is area of the largest Norman window with perimeter of 45 feet?

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Calculus

11/27/23

Determine if there is a value, c, -8<c<12 such that h’(c)=-1

Let h be a twice differentiable function such that h(-8)=12 and h(12=-8. Let f be a function defined such that f(x)=h(h(x)).

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Calculus

11/26/23

Calculus question

A piece of wire 9 m long is cut into two pieces. One piece is bent into the shape of a circle of radius r and the other is bent into a square of side s. How should the wire be cut so that the total... more

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Calculus

11/26/23

Calculus question

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window... more

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Calculus

11/26/23

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y=6-x² . Width = Height =

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Calculus

11/26/23

Find the point on the line -5x+5y-1=0 which is closest to the point (2,-4) .

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Calculus

11/26/23

Calculus problem

A) Find the dimensions of the rectangle with area 361 square inches that has minimum perimeter, and then find the minimum perimeter.L = , W = , Minimum Perimeter = .B) Find the dimensions of the... more

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Calculus

11/26/23

If 2200 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = cubic centimeters.

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Percentage rate of growth

Find The interest rate

Find the derivative, implicit differentiation (no calculator)

Derivative, quotient, and exponential rules (no calculator)

Min-Max Problem in 3-Space

Find the volume of in the solid obtained by rotating the region in the first quadrant bounded by y=x^6, y=1, and the y-axis around the x-axis.

Don't know how to answer

Don't know how to do

Concave up/down and inflection points

Find the absolute max. and min. of each function

Related Rates Question

Calculus 5.5 U Substitution - Definite Integrals.

Calculus 5.5 U Substitution

A piece of wire 6 m long is cut into two pieces. One piece is bent into the shape of a circle of radius r and the other is bent into a square of side s.

A 25 y/o woman burns 100-70t cal/hr while walking on her treadmill. Her caloric intake from a drink is 50t cal during the t hour. What is her net decrease in calories after walking for 3 hours?

Calculus I (Antiderivatives & Indefinite Integration): A stone is thrown straight up from the edge of a roof, 625 feet above the ground, at a speed of 10 feet per second.

A stone is dropped from the upper observation deck of a tower, 100 m above the ground. (Assume g = 9.8 m/s2.)

Norman window has shape of a semicircle atop a rectangle so that the diameter of the semicircle is = to width of the rectangle. What is area of the largest Norman window with perimeter of 45 feet?

Determine if there is a value, c, -8<c<12 such that h’(c)=-1

Calculus question

Calculus question

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y=6-x² . Width = Height =

Find the point on the line -5x+5y-1=0 which is closest to the point (2,-4) .

Calculus problem

If 2200 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = cubic centimeters.

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