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Calculus 1

10/24/17

find the open intervals on which the function f(x)=cos^2(2x) is increasing in the interval (0,2pi)

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Calculus 1

10/23/17

F(x)= X^4 - 8 using analytical methods

To find those values of x which the given function is increasing and those values of x for which it is decreasing

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Calculus 1 Economics

10/21/17

Maximize profits

Suppose the Sunglasses Hut Company's profit is given by the equation P=-0.02q2+3q-32, where P is the total profit, in thousands of dollars, and q is the total number of sunglasses sold, in... more

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Calculus 1

10/21/17

linear approximation

Use linear approximation, i.e. the tangent line, to approximate 2.73 as follow: Let f(x)=x3 . The equation of the tangent line to f(x) at x=3 can be written in the form y=mx+b where m is... more

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Calculus 1

10/21/17

Volume of a box

A piece of cardboard measuring 8 inches by 12 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. Find a formula for the... more

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Calculus 1 Physics Derivatives

10/18/17

Suppose that a particle moves according to the law of motion s = t^2 - 11 t + 33. Use interval notation to indicate when the particle is moving in the positive

Calculus I, Derivative t>=0

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Calculus 1

10/17/17

This is a calculus chain rule question

Air is being pumped into a spherical weather balloon. At any time t, the volume of the balloon is V(t) and its radius is r(t). a.) What do the derivatives dV/dr and dV/dt represent? b.)... more

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Calculus 1

10/15/17

Give the meaning of the equations

If f(p)=q means that, at a price of p dollars, a sandwich shop can sell q thousands sandwiches per week, then give the meaning of the equations f(4.5) = 1.2 and f'(4.5) = -0.1

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Calculus 1

10/13/17

How to determine if there is a limit or not in a function?

For example, when a limit approaches 0: x^2-5x+7/ x^3

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Calculus 1

10/12/17

find dy/dx sin^2 y=y+2

this is an implicit differiation problem

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Calculus 1

10/08/17

An isosceles triangle has equal sides of constant length 10 feet. The vertex angle (the angle opposite the third side, (the base) is increasing at a rate of 12

An isosceles triangle has equal sides of constant length 10 feet. The vertex angle (the angle opposite the third side, (the base) is increasing at a rate of 12radian per minute.Find the rate at... more

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Calculus 1 College Algebra Pre Calculus

10/06/17

Find the derivative of the function and evaluate the derivative at the given value of a.

h(x)=xsquare root of x;a=16 d/dx=xsquare root of x=xsquare root of x(2+lnx/2square root of x) Evaluate the derivative at the given value of a. h'(a)=?

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Calculus 1

10/06/17

Find the equation of the line.

Let f(x)=x^2 and g(x)=(x-74)^2+27. There is one line with positive slope that is tangent to both of the parabolas y=f(x) and y=g(x) simultaneously.

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Calculus 1

10/06/17

find the equation of a line

Let f(x)=x^2 and g(x)=(x-1)^2+7. There is one line with positive slope that is tangent to both of the parabolas y=f(x) and y=g(x) simultaneously. y=?

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Calculus 1

10/05/17

Height equation

A clown is standing on a cliff that is 528 ft tall. The clown hurls a tomato into the air with a velocity of 128ft/sec. How fast is the tomato traveling when it hits the ground below? I know... more

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Calculus 1

10/03/17

Differentiate H(z)=ln radical a^2-z^2/radical a^2+z^2

Differentiate H(z)=ln radical a^2-z^2/radical a^2+z^2 Note: Both the denominator and numerator are under radical Differentiate y=x^lnx Thanks! :))

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Calculus 1 Calculus Calculus, Derivatives

10/03/17

Calculus: x^3+y^3=8xy. What is the equation of the tangent line at (4,4)

I'm confused on the steps of solving this problem. Any help would be greatly appreciated!

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Calculus 1

10/02/17

Find the parabola with equation y = ax2 + bx whose tangent line at (2, 0) has equation y = 4x − 8.

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Calculus 1 Calculus

10/01/17

Consider the function and the value of a.

f(x) = squareroot(x + 8) , a = 1 Use mtan = lim h→0 (f(a + h) − f(a))/hto find the slope of the tangent line mtan = f '(a). Then, find the equation of the tangent line to f at x = a.(Let x be the... more

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Calculus 1 Calculus

10/01/17

For the function y = f(x), find f '(a) using mtan = lim x→a f(x) − f(a)/ x − a .

f(x) = 1/squarerootx, a = 4

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Calculus 1 Calculus

10/01/17

For the function y = f(x), find f '(a) using mtan= lim x→a f(x) − f(a)/ x − a .

f(x) = x^2 + 6x, a = 3

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Calculus 1 Math Calculus

09/30/17

A spherical balloon has a leak and its radius is decreasing by 2 centimeters per minute.

What is the rate of change of the volume of the balloon when the radius is 40 centimeters? (V= 4/3(pi)(r)^3 I know how to find the Volume of the balloon at specific radii but I don't know how... more

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Calculus 1

09/30/17

Cos(t)= -5/6 where pi less than t less than 3pi/2 find sin(2t)

Just needing how to find sin(2t)

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Calculus 1

09/29/17

if cos(x)= -5/6 where pi less than t less than 3pi/2 what is cos(2t)

looking how to solve cos(2t) sin(2t) cos(t/2) sin(t/2)

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Calculus 1 Calculus

09/27/17

find the area under the curve y=1/(6x^3)

Find the area under the curve y=1/(6x^3) from x=1 to x=t and evaluate it for t=10, t=100. Then find the total area under this curve for x≥1. (a) t=10 =____________ (b)... more

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find the open intervals on which the function f(x)=cos^2(2x) is increasing in the interval (0,2pi)

F(x)= X^4 - 8 using analytical methods

Maximize profits

linear approximation

Volume of a box

Suppose that a particle moves according to the law of motion s = t^2 - 11 t + 33. Use interval notation to indicate when the particle is moving in the positive

This is a calculus chain rule question

Give the meaning of the equations

How to determine if there is a limit or not in a function?

find dy/dx sin^2 y=y+2

An isosceles triangle has equal sides of constant length 10 feet. The vertex angle (the angle opposite the third side, (the base) is increasing at a rate of 12

Find the derivative of the function and evaluate the derivative at the given value of a.

Find the equation of the line.

find the equation of a line

Height equation

Differentiate H(z)=ln radical a^2-z^2/radical a^2+z^2

Calculus: x^3+y^3=8xy. What is the equation of the tangent line at (4,4)

Find the parabola with equation y = ax2 + bx whose tangent line at (2, 0) has equation y = 4x − 8.

Consider the function and the value of a.

For the function y = f(x), find f '(a) using mtan = lim x→a f(x) − f(a)/ x − a .

For the function y = f(x), find f '(a) using mtan= lim x→a f(x) − f(a)/ x − a .

A spherical balloon has a leak and its radius is decreasing by 2 centimeters per minute.

Cos(t)= -5/6 where pi less than t less than 3pi/2 find sin(2t)

if cos(x)= -5/6 where pi less than t less than 3pi/2 what is cos(2t)

find the area under the curve y=1/(6x^3)

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