844 Answered Questions for the topic Calculus 1

03/17/16

Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.     x=0 y=0 y=-2+2
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03/17/16

Find the limit below.
Find the limit below.   limτ(x→3) (x^4−81)/(x−3)    
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03/15/16

Find the line integral below.
Find the line integral below.   ∫_c^ ¦(x−y+2z)ds where C is the circle r(t)=(1, 3 cost, 3 sin t) for 0≤t<2pi.
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03/15/16

Compute the curl of the vector field below.
Compute the curl of the vector field below.       F=(X^2-Z^2, 1, 2XZ)
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03/15/16

Find the divergence of the vector field below.
Find the divergence of the vector field below.       f =(X^2 YZ, -XY^2 Z, -XYZ^2)
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03/15/16

Find the gradient field of the potential function below.
Find the gradient field of the potential function below.       φ(x,y)=x^3+y+100
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Calculus 1

03/15/16

Finding Critical Numbers
Find the critical numbers of the given function: f (x) = 2 sec (x) + tan (x) ; 0 < x < 2pi
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03/15/16

Find The Equation. The intercepts of the parabola are (-1,0), (5,0) and (0,15)
.HELPPPP PLZ
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03/15/16

Find The Equation. the vertex is (4,1) and contains the point (2,3)
this is a writing quadratic function problem.HELP
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03/15/16

find the equation if The maximum value of g is g(-1)=6, and g(-3)=4
this is a writing quadratic function problem.HELP
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Calculus 1

03/14/16

A 7ft tall person is walking away from a 20 ft tall lamppost at what rate of 5ft/sec. at what rate... the lamppost?
A 7ft tall person is walking away from a 20 ft tall lamppost at a rate of 5ft/sec. Assume the scenario can be modeled by right triangles. At what rate is the length of the persons shadow changing... more
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03/13/16

limits of integration
In geometry, you learn that the volume of a cylinder is given by V = πr2h, where r is the radius and h is the height of the cylinder. Use integration in cylindrical coordinates to confirm the... more
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03/13/16

Evaluate the integral below given R. (Hint: what is the upper boundary of x?)
Evaluate the integral below given R. (Hint: what is the upper boundary of x?)     ∫∫1_R^  xy daR bounded byx=0y=0y=9−x^2      
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03/12/16

probability
 A single card is drawn from a standard 52-card deck. What is the probability of getting:a. A 10 or an Ace? b. An Ace or a diamond?
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Calculus 1 Calculus

03/12/16

Calculus: Related Rate Problem
A sand bag is dropped from a balloon at a height of 60 meter when the angle of elevation to the sun is 300. The position of the sandbag is s(t)= 60-4.9t2. Find the rate at which the shadow of the... more
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Calculus 1

03/11/16

How do i know if y=x^2/3 Is differentiable ont [-1,10]
Without graphing! Pls help :(
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Calculus 1

03/11/16

How do i know if y=x^3/2 is continuous
Without graphing??
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Calculus 1

03/07/16

What is its velocity at t = 0?
A particle moves along a line so hat its acceleration, a, at time t is a = -t^2. If the particle is at the origin when t = 0 and 3 units to the right of the origin when t = 1, then what is its... more
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Calculus 1

03/06/16

I'm having a little trouble with finding the derivative of y=csc-1(sec x). Any help?
csc-1(sec x)=y
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Calculus 1

03/01/16

The graph of f(x) passes through (0,3). The slope of f at any point P is 5 times the y coordinate of P Find f(1)
Looking for the derivative of f at 1.  
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Calculus 1 Derivatives

02/23/16

I'm not allowed to use the Chain rule in my midterm, what else can I do to find the derivative of f(g(x)) functions?
I am quite puzzled because I was just told by my professor that we won't be allowed to use the Chain rule in the exam, but in the practise exam they gave us functions like y=e^3x+x to... more
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Calculus 1 Derivatives

02/21/16

F'(x) = t'^4/4-t^3+t^2
pls help me find the derivative thanksss
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02/16/16

Convert the following polar equation to Cartesian coordinates.
Convert the following polar equation to Cartesian coordinates.   r=8 sin 0
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02/16/16

Find dy/dx ??
Given the parametric equations x = f(t) and y = g(t), dy/dx is given by g'(t)/f'(t). Find dy/dx given parametric equations below.   dy/dx=(g^′ (t))/(f^′ (t) )   Parametric... more
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02/16/16

Convert the following polar coordinates to Cartesian coordinates.
Convert the following polar coordinates to Cartesian coordinates.   (3,pi/4)
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