807 Answered Questions for the topic Calculus 1

Calculus 1

12/05/17

rectangle has a length x and width y. x is increasing at 2 ft/sec and y is increasing at 1.5 ft/sec. what rate is area changing x=30 y=15
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Calculus 1

12/05/17

v=x^2 h=32. open rectangular constructed with square base x by x and height h. what is dimensions of container with least material
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Calculus 1

12/04/17

f (x)= x^2cos(3x). is f increasing or decreasing at x=4 and what concavity is at x=4
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Calculus 1

12/04/17

rectangle length x and width y. x is increasing at 2 ft/sec and y is increasing at 1.5 ft/sec. whats rate is area changing x=30 y=15
Please help 
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Calculus 1

12/04/17

f(x)=x^2cos(3x) is f increasing or decreasing at x=4. determine the type of concavity at x=4
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Calculus 1

12/04/17

y= 20sin(2x) As x increases from π/3 to π/3 + .1 Calculate dy and Δy
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Calculus 1

12/04/17

Differentiate the equation x^4y+xy^2=14 find the equation of the tangent line at the point (-2,1)
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Calculus 1

12/04/17

Find the dimensions of the largest rectangle that can be inscribed in the parabolic curve below and the X-axis : y=12 - x^2
Calculus help
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Calculus 1

12/04/17

a) Sketch the region whose area is given by definite integral. b) Find and approximation of the area of the region using 6 subintervals of equal width and the
a) Sketch the region whose area is given by definite integral. Integral is square root of 36-x^2 with bounds from -6 to 6 . b) Find and approximation of the area of the region using 6 subintervals... more
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Calculus 1

12/04/17

Find the exact area of the region having the given boundaries.
y=0, y=2e^x, x=0, x=2 please explain how to solve.
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Calculus 1

12/03/17

Find G(1) and G'(pi/5).
G(x)= 1∫x (tan t) dt
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Calculus 1 Newtons Method

12/02/17

Calculus 1 - Newton's Method
Use Newton’s method to find all roots of the equation (𝑥−2)2=ln𝑥, correct to six decimal places.     Please show a step-by-step solution to this problem. Thanks.  
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11/30/17

If lim x-->2( f(x)-5)/(x-2) = 100, find lim x-->2 f(x)
How would I go about this problem?
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Calculus 1

11/29/17

Given x^2+ 8y^2=8 find d^2y/dx^2
Find the second derivative of the equation. 
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11/28/17

Find y' by implicit differentiation
Find y' by implicit differentiation √(x+sec^2 y)=5
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Calculus 1

11/28/17

A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $3 per square foot and the metal for th
A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $3 per square foot and the metal for the sides costs $2 per square foot.... more
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11/28/17

Math derivative calcular relative rates
A large snowball is melting so that it's radius is decreasing at the rate of 2 inches per hour. How fast is the volume decreasing at the moment that the radius is 3inches? HINT: volume of a sphere... more
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Calculus 1 Calculus

11/28/17

Find all values (k) and (m) on the curve
Find all values (k) and (m) on the curve x^3-6xy-ky^3=m where the slope of the tangent line is -1 at point (0,1)
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Calculus 1

11/24/17

Find the exact values of the remaining trigonometric functions of 0 satisfying the given condition.
Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)cos θ = 1213, tan θ < 0
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Calculus 1 Math Calculus Math Help

11/23/17

Calculus Question
Given that f(10)=5, f′(10)=1, g(5)=3, and g′(5)=9, what is theapproximate value of g(f(10.01))?   Help!?
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Calculus 1 Math Calculus Math Help

11/22/17

What value of k makes the following function continuous?
f(x)   =   sin(-6x)/(9x).   x is less than 0   3x-9k-6.  x is greater than or equal to 0   Help!?
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Calculus 1

11/21/17

Exponential Growth
The half life of a certain substance is 27 years. How fast is a 500-gram sample of this substance decaying after 115 years?   Q=Q0ekt   and k=(ln(1/2)/half-life
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Calculus 1

11/20/17

Evaluate the integrals given
∫01  (x5-5x+5x)dx     ∫4    (√y-y/y2  ) dy 1  
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Calculus 1

11/19/17

Calculus Application problem
An ecologist needs to fence in a state park with a rectangular plot. The rectangular plot must have an additional section of fencing across its width. Find the maximum area that can be enclosed... more
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Calculus 1

11/19/17

Evaluate the integrals given
∫01 (x5-5x+5x)dx     ∫14  √y-y/y2  dy                        
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