844 Answered Questions for the topic Calculus 1

02/17/15

If h(x)=f(g(x))*g(x), then h'(1/2)= ?
If h(x)=f(g(x))*g(x), then h'(1/2)= ? Calculus, no calculator question.
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Calculus 1

02/10/15

squeeze theorem
lim x→0 tan x⁄ x  
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Calculus 1 Function

02/09/15

Find values of a and b so f in continuous at x=1 and has a derivative at x=1
f(x)= {2x2+ax-1   if x≤1         {bx3+x2+2   if x>1  
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Calculus 1 Calculus Proofs

02/09/15

Can anyone finally help me with this Calculus proof?
Using derivatives a = dv/dt, v = ds/dt and |v| = speed, show that if an object is moving on a straight line, then its speed is increasing when its velocity v and its acceleration a have the same... more
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Calculus 1

02/09/15

Find equation of tangent line
f(x)= 2sinxcosx, x=pi/6
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Calculus 1 Limits

02/09/15

Find the limit
limit as x--> 0 (8/(xcot5x)
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Calculus 1

02/09/15

given that y=x^2-4 and x=(2t^2+1)^1/2, find dy/dt when t= 2^1/2
 y=x2-4 x=(2t2+1)1/2 t=21/2
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Calculus 1

02/05/15

Find equation of tangent line to f(x)
a) f(x)= 2(sinx)(cosx), x=pi/6 b) f(x)= e^x(sinx), x=0
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Calculus 1 Limits

02/05/15

Find the limit
limit as x approaches 0 (8/(xcot5x))
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Calculus 1 Derivatives

02/03/15

Find Derivative using definition of derivative
a.) (x+1)/(x-1) b.) √(2x+1) c.) 1/x^2
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Calculus 1 Asymptotes

02/03/15

find all horizontal and vertical Asymptotes
f(x)= (arctanx)-1/x-1
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Calculus 1 Discontinuity

02/03/15

List all Values of discontinuity
f(x)= {2x-1 if x ≤ -1          {3x if -1<x<1          {x+1 if x≥ 1   FIND THE VALUES OF DISCONTINUITY FOR THIS FUNCTION .     
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Calculus 1

02/03/15

This is a question about limits approaching infinity.
The limit as x--> infinity of sin^2x/x^2.   Find what the limit is. 
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Calculus 1 Asymptotes

02/03/15

Asymptotes for arctan(x)-1/(x-1)
Need help getting horizontal and vertical asymptotes for that function
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Calculus 1

01/25/15

Instantaneous Velocity
To estimate the instantaneous velocity when t = 1, we need to estimatevave = 8.28 − 1.86hwhen h approaches ? . This yieldsvave =  m/s.
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Calculus 1

01/25/15

find the velocity of the object.
If a rock is thrown upward on the planet Mars with a velocity of 9 m/s, its height in meters t seconds later is given by y = 9t − 1.86t2. (Round your answers to two decimal places.) (a) Find the... more
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Calculus 1 Domain

01/25/15

what is the domain of f(x)= x^2+28/x
state the domain in interval notation.
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01/15/15

Find all values of A so that y=sin(Ax) is a solution to ((d^2)y)/(d(x^2))+9y=0, A constant.
calculus question, PLEASE HELP.
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Calculus 1 Related Rates

01/14/15

Sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone i
A=(3.14)R 2 DR/DT DA/DT DS/DT DV/DT
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Calculus 1 Differentials

12/22/14

Closed and Open Intervals? Differential Calculus
If I am told to find critical numbers on the closed interval [0,2pi], are 0 and 2pi acceptable answers??? or is that only for the open interval (0,2pi)??
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Calculus 1

12/14/14

For a curve given y=5e^x-2ln(x+1), compute the Equation of the tangent line at the point of the graph where x=0
For a curve given y=5e^x-2ln(x+1), compute the Equation of the tangent line at the point of the graph where x=0
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Calculus 1

12/11/14

Please help, its urgent :(
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.y=3x, y=5x^2
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Calculus 1

12/07/14

mean value theorem
please help ! Verify the function f(x)=x/x+2 satisfies the hypothesis of the mean value theorem on [1,4]. Then find all numbers c that satisfy the conclusion of the mean value theorem.Apparently  I... more
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Calculus 1

12/05/14

Integrals? Please help
Find the area of the region R bounded by the graphs of the equations y-y^3=x and x=0.Suppose you rotate R around the y-axis. find the volume of the resulting solid.
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Calculus 1

12/01/14

implicit equation 2x^3-9xy+2y^3=0 The graph point (1,2). Find the equation of the tangent line to the graph of y=f(x)
A function y=f(x) satisfies the implicit equation 2x^3-9xy+2y^3=0 The graph contains the point (1,2).  Find the equation of the tangent line to the graph of y=f(x)
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