807 Answered Questions for the topic Calculus 1

02/04/16

Evaluate the finite series below.

∑_(i=1)^4¦(i−1)!/t^2

02/04/16

terms and sequences

List the first 6 terms of the sequence below.   (−1)^(n−1)/2n
Calculus 1

02/04/16

(2x-6)/abs(x-3)

when x aproaching 3 from the left
Calculus 1

02/04/16

(x^(5/2) + 2x^2)/(1+x^3)

when x aproaching infinity  

02/01/16

Y=xtanx/x^2+1 when is it discontinuous

for me it is always continuous because theres the +1 in the denominator, however the back of my book says that the answer is all x except npi/2
Calculus 1 Math Calculus Calculus 2

01/31/16

How much work is required to move an object horizontally???

The definition of work, W, done by a force F in moving an object from point a to point b is given below. How much work is required to move an object horizontally from a = 1 m to b = 3 m by force... more
Calculus 1 Math Calculus Calculus 2

01/31/16

area bound by y and the x-axis?

What is the area bound by y and the x-axis?   y=2 sin2x
Calculus 1 Math Calculus Calculus 2

01/31/16

indefinite integral??

Find the indefinite integral below.   ∫(x^(3/4)+x^(5/2) )dx
Calculus 1

01/27/16

How to evaluate 3pi/8 using the half angle identity for sin^2 theta?

I am looking for an exact answer, not a decimal. 
Calculus 1

01/18/16

express the side length of a square as a function of the length d of the square's diagonal. Then express the area as a function of the diagonal length

I understand the first part of the question. My answer to that was s= (d square root 2)/2. The trouble I'm having is with the second part. Thanks.
Calculus 1

01/16/16

express x^2-x-6>0 as an interval

I want to know how to know what the interval is after i factor the equation. 

01/15/16

Differentials Problem

a ship is 1/2 mile from the base of a bridge. The angle of elevation from the boat to the top of the bridge is 3 degrees with a possible error of plus or minus 0.15 degrees. what is the calculated... more
Calculus 1

01/09/16

Use the second derivative test to find the relative extrema for f(x) = –x^4 + 18x^2.

 Use the second derivative test to find the relative extrema for f(x) = –x^4 + 18x^2.

12/13/15

calculus function

You can perform calculus on functions with several variables. For example, you now know how to find limits of functions with a single variable and are able to extend the knowledge to functions of... more

12/13/15

units a product can produce?

Assume that a company's Cobb-Douglass Function (both L and C are in thousands) is given below. If the company spends $20,000 on labor and $9,000 on capital expenditure, how many units of its... more
Calculus 1 Calculus Pre Calculus

12/12/15

Find fyx for the function below.

Find fyx for the function below.   z=f(x,y)=3xy−x^2+5y^3
Calculus 1 Math Calculus

12/12/15

interest rate???

If you invest $1000 in an account that pays interest at a rate of 6.5% per year continuously compounded. How long would it take to double your money? See hint for the formula, where A is the total... more
Calculus 1

12/12/15

which intervals is function f(x)=12x^(2/3)-4x increasing

A) find the intervals on which f is increasing     B) Find the x and y coordinates of all relative maximum points       C) Find the x and y coordinates of all relative minimum... more
Calculus 1

12/12/15

which intervals is function f(x0=12x^2/3-4x increasing

A) find the intervals on which f is increasing      B) Find the x and y coordinates of all relative maximum points     C) Find the x and y coordinates of all relative minimum... more
Calculus 1 Math Calculus

12/12/15

Distance, y=-x^2+17x-66

The shape of the hill can be described by the equation y=-x^2+17x-66 (x values between 6 and 11). Say that John has a rifle and is in his deer blind located at the point Po=(2,0). Where on the hill... more
Calculus 1 Math Calculus

12/08/15

Evaluate the integral below.

Evaluate the integral below.   ∫ 3??^−4?? ????

12/08/15

2. Lemniscate Curve, Find the exact coordinates of the point(s) where the tangent line to this curve is horizontal

Curve:   (x2+y2)2=4(x2-y2)   Find points where tangent line is horizontal?
Calculus 1

12/06/15

Shell Method; Washer Method

Find the volume of the solid of revolution formed when the region bounded by the given curves is revolved about the specified axis. REGION:  y=tan x ; y=0 ; & x = pi/4           AXIS: x-axis
Calculus 1

12/04/15

Im stuck on this question..

A farmer wishes to build three identical rectangular pens side-by-side. The total area of all three pens must be 1500 square feet. What is the least amount of fence which can be used to construct... more
Calculus 1 Optimization

12/03/15

i to build a box with a square base and an open front. i only has 60 sq. ft. of cardboard to use. what are the dimensions of the box with the largest volume?

i am in a calculus 1 course and we are learning about optimization 

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