836 Answered Questions for the topic Calculus 1

Calculus 1

08/07/17

Derivatives

Find the equa of the tangent line at point (2,3) on the function x^3+y^3=6xy-1       my equation I got doesn't graph correctly please help!
Calculus 1

08/07/17

Calculus derivative

find mtan at point (2,2) on function y^3-x^2=4     i keep getting 0. Please help
Calculus 1

08/06/17

|x|+|y|=1+ |xy| how can I graph this?

how can I graph this |x|+|y|=1+ |xy|
Calculus 1 Calculus

08/03/17

Use newtons method to find the second and third approximation

Use newtons method to find the second and third approximation of a root of cos(x^2+5)=x^3 starting with x1=1 as the initial approximation.   The second approximation is x2:_______?   The third... more
Calculus 1 Calculus

08/03/17

Estimate the area under the graph of

A) Estimate the area under the graph of f(x)=25-x^2 from x=0 to x=5 using 5 approximating rectangles and right endpoints.   Estimate:______   B) Repeat part (A) using left... more
Calculus 1

08/02/17

Average value function

F(x)=sec^2(x) on interval [0, pi/3]im getting o please help
Calculus 1 Calculus

08/02/17

Consider the function f(t)=10sec^2(t)-10t^2.

Consider the function f(t)=10sec^2(t)-10t^2. Let F(t) be the antiderivative of f(t) with F(0)=0. The F(4)=______?
Calculus 1 Calculus

08/02/17

Use Newtons method to find the second and third approximation of a roof of

Use newtons method to find the second and third approximation of a root of   cos(x^2+5)=x^3   Starting with x1=1 as the initial approximation   The second approximation is x2=_______? The... more
Calculus 1 Calculus

08/02/17

Find the minimum distance from the parabola

Find the minimum distance from the parabola x-y^2=0 to the point {(0,3)}.    Minimum distance=______?
Calculus 1 Calculus

08/02/17

A rancher wants to fence in an area of 3000000 square feet

A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side.What is the shortest length of fence... more
Calculus 1 Calculus

08/02/17

If 1800 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.

If 1800 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=___?
Calculus 1 Calculus

08/01/17

If 1800 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.

If 1800 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=_______?
Calculus 1 Calculus

08/01/17

Find two positive numbers A and B

Find two positive numbers A and B (with A ≤ B) whose sum is 76 and whose product is maximized.   A=_______   B=_______
Calculus 1 Calculus

08/01/17

If 15 is less than or equal to f(x) less than or equal to 19, then

If 15 ≤ f(x) ≤ 19, then                            8 ____________≤ ∫    f(x)dx ≤__________                           5
Calculus 1 Calculus

08/01/17

Consider the functon

Consider the function f(x)=(2/x^2)-(7/x^6). Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(x)=_____?
Calculus 1 Calculus

07/31/17

A particle is moving as given by the data below:

A particle is moving as given by the data below:   v(t)=2sin(t)-5cos(t);   s(0)=0   s(t)=_____?
Calculus 1 Calculus

07/31/17

Find the particular antiderivative that satisfies the following conditions:

Find the particular antiderivative that satisfies the following conditions:   f''(x)=24x^3-6;   f(0)=1;   f'(0)=-3   f(x)=_____?
Calculus 1 Calculus

07/31/17

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x^2. What are the dimensions of such a rectangle with the greatest possible... more
Calculus 1 Calculus

07/31/17

A rancher wants to fence in an area of 3000000 square feet in a rectangular field

A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side.   What is the shortest length of... more
Calculus 1 Calculus

07/31/17

find the largest possible volume of the box

If 1800 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=?
Calculus 1 Calculus

07/27/17

Find the open intervals on which f is increasing and decreasing.

Let f(x)=(x-6)/(x+6). Find the open intervals on which f is increasing and decreasing. Then determine the x-coordinates of all relative maxima and minima.   1. f is increasing on the... more
Calculus 1 Calculus

07/27/17

Find the absolute maximum and minimum values of the function on each of the indicated intervals

Find the absolute maximum and minimum values of the function on each of the indicated intervals.   f(x)=x^4-6x^2-1   a) Interval [-3,-1] Absolute maximum:_______ Absolute... more
Calculus 1

07/26/17

Differentiation

I have to make an open cylindrical out of 48 square feet of material. That is, this can will not have a top. What are the dimensions of the radius and height that will maximize the volume of the... more
Calculus 1

07/26/17

Differentiation application

f(x)=x^4-4x^3+4x^2+1   what is the maximum and minimum values of f(x) on the interval [-1,5]     i got x=1 local min. But I don't think that's correct, please help. 
Calculus 1

07/26/17

Differentiation application

f(x)=x^4-4x^3+4x^2+1  what is the maximum and minimum of f(x) on the interval [-1,5]

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