844 Answered Questions for the topic Calculus 1

02/16/16

Plot the parametric equations???
Plot the parametric equations below.   x=6 cos t y=4 sin t
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Calculus 1 Calculus Calc Calculus 2

02/15/16

Migratory birds fly north past a check-point at 300-300cos(pi(t)/6) birds per month. t= number of months since the beginning of the year.
A. Find the total number of birds for the year. B. When are the birds migrating the fastest. C. When is the migratory rate increasing the fastest?
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Calculus 1 Derivatives

02/14/16

Find the derivative of r = 2(1/sqrt theta + sqrt of theta)
i got -1/theta(sq rt of theta) + 2 sq rt of theta howeverrrrr back of the book says 1/theta sq rtof theta + 1/2 sq rt of theta. Pls help and show solution please!
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Calculus 1 Derivatives

02/14/16

Find the 1st and second derivative of y=x^3/3+x^2/2+x/4
My answer is x^2/9+x/4however back of the book says x^2+x
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Calculus 1

02/09/16

How fast must she let out the string when the kite is 500 ft away from her
A girl flies a kite at a height of 300 feet, the wind carrying the kite horizontally away from her at a rate of 25 feet per second.
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Calculus 1 Calculus 3 Calculus 2

02/07/16

converges or diverges ??
Explain why the series below Explain why the series below converges or diverges using the p-series test.      ∑_(i=1)^∞  1/i^3
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Calculus 1

02/06/16

Instantaneous rate of change
In a time of t seconds, a particle moves a distance of s meters from its starting point, where s equals 4t squared plus 2.(a) Find the average velocity between t equals 1 and t equals 1 plus h... more
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02/04/16

Evaluate the finite series below.
∑_(i=1)^4¦(i−1)!/t^2
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02/04/16

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

02/04/16

(2x-6)/abs(x-3)
when x aproaching 3 from the left
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Calculus 1

02/04/16

(x^(5/2) + 2x^2)/(1+x^3)
when x aproaching infinity  
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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
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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
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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
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Calculus 1 Math Calculus Calculus 2

01/31/16

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