Newest Calculus 3 Questions | Wyzant Ask An Expert

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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Calculus 3 Calculus Integrals Integral Calculus

03/13/16

Evaluate the integral below.

Evaluate the integral below. ∫_0^1¦∫_y^(2−y)¦ ∫_0^(2−x−y)¦ xy dz dx dy

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Calculus 3 Calculus Integral Calculus 2

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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Calculus 3 Calculus Integral Calculus Integral

03/13/16

Find the integral below.

Find the integral below. ∫∫1_R^ (x+2y) dar={(x, y):0≤x≤3, 1≤y≤4}

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Calculus 3 Chain Rule

03/10/16

Using chain rule to find formula

Let f(x,y,z) = ex+ysinz, and let x= g(s,t), y=h(s,t), z=k(s,t) and m(s,t)=f(g(s,t),h(s,t),k(s,t)). Find a formula for mst using the chain rule and verify that your answer is symmetric in s and t.

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Calculus 3 Partial Derivatives Function Of Two Variables

03/10/16

Help! Function of two variable

Let w=f(x,y) be a function of two variables and let x=u+v, y=u-v. Show that ∂2w/∂u∂v=∂2w/∂x2-∂2w/∂y2.

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Calculus 3

03/08/16

given the vector function of a helix around the z-axis of radius 5 r(t)=<5cost,5sint,4t>

Find the Unit tangent,Unit Normal For the Unit Tangent I got 1/sqrt41,<-5sin(t),5cos(t),4> and for the unit normal I got <-41cos(t),-41sin(t),0>

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Calculus 3 Calculus Calculus 2

03/05/16

Given the function below and point P, what is the direction of the steepest ascent?

Given the function below and point P, what is the direction of the steepest ascent? f(x)=x^2−4y^2−9

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Calculus 3 Calculus Calculus 2

03/05/16

Plot the function below.

Plot the function below. f(x,y)=sin x cos y

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Calculus 3

03/03/16

consider the projectile shot from the ground s=0 ft with inital speed of v=800 ft/sec at an angle of elevation theta= 30 degrees

state the vector function the projectile follows, projectile initial velocity vector, and find the maximum altitude the attains.

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Calculus 3 Surface Unit Normal

02/25/16

Find unit normal to surface

Find a unit normal to the given surface at given point. xyz=8 at (1,1,8)

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Calculus 3 Calculus Calculus 2 Calculus 1

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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Calculus 3 Calculus Calculus 2 Calculus 1

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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