807 Answered Questions for the topic Calculus 1

Calculus 1

03/05/15

Find values of x where f has a local max and min
f(x)=(x^3)(e^5x+2)
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Calculus 1

03/05/15

Related rates
A coffee filter has the shape of an inverted cone. Water drains out of the filter at a rate of 10cm3 per minute. When the depth of the water in the cone is 8cm, the depth is decreasing at a rate of... more
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Calculus 1

03/05/15

Find local max and min
 f(x)=(x^3)(e^5x+2) f(x)= ln(2x+4)+x^2
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Calculus 1

03/04/15

find local max and min
f(x)= cos^2(x-pi/4) on the interval (0, 2pi)
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Calculus 1

03/04/15

related rates
A space shuttle launches with altitude function a(t) = 20t^2 (t = seconds and a(t) = meters). An observer standing 4 miles away (horizontally) from the launch pad must look up at a higher and... more
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Calculus 1

03/04/15

for each function find values of X where f had local max and min values
a.) f(x)= Cos^2(x-pi/4) on the interval (0, 2pi) b.) f(x)=(x^3)(e^5x+2) c.) f(x)= ln(2x+4)+x^2
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Calculus 1

03/04/15

Consider the function h(x) = 5x^3 - 3x^5
(a) Find the intervals on whichf is increasing or decreasing.(b) Find the local maximum and minimum values off.
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Calculus 1

03/04/15

Find the absolute maximum and absolute minimum values
Find the absolute maximum and absolute minimum values off(x) = (x2 - 1)^3 onthe interval-1 ≤ x ≤ 2
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Calculus 1 Related Rates

03/02/15

related rates?
James is flying a kite 300 ft above ground. A wind gust carries the kite horizontally away from james at a rate of 25ft per second. How fast must james let the string out when the kite is 500ft... more
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Calculus 1 Tangent Lines

03/02/15

Find all points (x,y) on the curve x^2+xy+y^2=3 where the tangent line is vertical.
 Find all points (x,y) on the curve x^2+xy+y^2=3 where the tangent line is vertical.
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02/22/15

Find the following derivative: d/dx ((xe^x)/sin(2x))
i dont know how to deal with e and sine in the same equation.
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02/22/15

Find F'(t) given F(t) = sin^-1(x) * (sqrt(sin(t)))
i dont understand this at all!! help me with this asap!!
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02/22/15

Find dy/dx for the given function: y = 3csc(5x) - e^(1-x^2) + 3^x
csc = cosecant confusing!!
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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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