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Calc 3

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Given the matrixA= a 6 5 a -8 8 7 9 a find all values of a that make |A|=0. Give your answer as a comma-separated list.
1. 4 answers
2. asked by ally
3. 8,672 views
The region W is the cone shown below.The angle at the vertex is 2π/3, and the top is flat and at a height of 5/sqrt(3). Write
1. 4 answers
2. asked by ally
3. 8,578 views
Consider a piece of wire with uniform density. It is the quarter of a circle in the first quadrant. The circle is centered at
1. 4 answers
2. asked by ally
3. 2,678 views
Find ∫CF⋅dr where C is a circle of radius 1 in the plane x+y+z=4, centered at (3,2,−1) and oriented clockwise when viewed
1. 4 answers
2. asked by ally
3. 1,732 views
A wrench .9m long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of (0,1,3)
1. 3 answers
2. asked by Raquel
3. 1,188 views
Let F⃗(x,y,z)=7x^2i⃗−sin(xy)(i⃗+j⃗).Calculate the divergence: div F→(x,y,z)=
1. 3 answers
2. asked by ally
3. 950 views
At what point on the paraboloidy = x2 + z2 is the tangent plane parallel to the plane 7x + 2y + 3z = 2? (If an answer does not
1. 5 answers
2. asked by Becky
3. 13,787 views
Find parametric equations for the tangent line to the curve of intersection of the paraboloidz = x2 + y2 and the ellipsoid 6x2 +
1. 6 answers
2. asked by Becky
3. 2,932 views
Jessica and Matthew are running toward the point P along the straight paths that make a fixed angle of θ (Figure 1). Suppose
1. 4 answers
2. asked by ally
3. 2,772 views
The oracle function f(x,y) is presented below. For each point (x,y) you enter the oracle will tell you the value f(x,y).
1. 4 answers
2. asked by ally
3. 2,877 views
Suppose you leave home and hike 10 miles due north, then 8 miles in the direction 40° east of north,and then 6 miles due east.
1. 2 answers
2. asked by Mitchel
3. 1,120 views
Suppose xy^3z^2+133=2xy−z . Compute ∂z/∂x and ∂z/∂y at the point (2,−2,3).
1. 1 answer
2. asked by ally
3. 430 views
Find the critical point of the function f(x,y)=2e^x−4xe^y.
1. 4 answers
2. asked by ally
3. 2,194 views
The actual span of the base of the dome is 143 feet.1) Use cylindrical coordinates to write the surface of the dome as a
1. 2 answers
2. asked by joe
3. 581 views
What is the laplace transform of:f(t) = 0, 0<t<2 t, 2<t thanks!
1. 1 answer
2. asked by Michael
3. 430 views
Find the parametric equations for the tangent line to the curve with the given parametric equations at specified point.x= e^t
1. 2 answers
2. asked by Rebecca
3. 1,351 views
Find the parametric equations for the tangent line to the curve with the given parametric equations at specified point.x= e^t
1. 2 answers
2. asked by Rebecca
3. 949 views
How do I integrate rcos2theta dr? and then I have to plug in the limits 1 and 2sin2theta for theta and plug what I get from that
1. 1 answer
2. asked by Samantha
3. 363 views
intersect x^2+y^2=36-8x^2-8y^2
1. 3 answers
2. asked by Katie
3. 327 views
Find the volume of the wedge-shaped region contained in the cylinderx^2 + y^2 = 1 and bounded above by the plane z = x and below
1. 2 answers
2. asked by Alyssa
3. 1,012 views
if r= <x,y,z> and r_0= <x_0,y_0,z_0>, describe the set of all points (x,y,z) such that magnitude[r-r_0]=4
1. 2 answers
2. asked by Emily
3. 588 views
Consider the points below.P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6) (a) Find a nonzero vector orthogonal to the plane through the
1. 4 answers
2. asked by Backy
3. 3,131 views
A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base
1. 1 answer
2. asked by Becky
3. 881 views
Find the limit, if it exists. (If an answer does not exist, enter DNE.)lim (x, y)→(0, 0) of (x^2 + y^2)/[((x^2 + y^2
1. 4 answers
2. asked by Becky
3. 1,440 views
Find all partial derivatives?v = (xy)/(x-y) vxx= vxy= vyx= vyy=
1. 4 answers
2. asked by Becky
3. 4,628 views
If z = f(x, y), wherex = r^2 + s^2 and y = 8rs, find ∂^2z/(∂r ∂s).
1. 4 answers
2. asked by Becky
3. 609 views
Use the Chain Rule to find ∂z/∂s and ∂z/∂t.z = tan(u/v), u = 7s + 4t, v = 4s − 7t
1. 4 answers
2. asked by Becky
3. 2,752 views
Find parametric equations for the tangent line to the curve of intersection of the paraboloidz = x^2 + y^2 and the ellipsoid
1. 3 answers
2. asked by Becky
3. 1,378 views
If a function of one variable is continuous on an interval and has only one critical number, then a local maximum has to be an
1. 1 answer
2. asked by Becky
3. 431 views
The DNA molecule has the shape of a double helix. The radius of each helix is about 10 angstroms (1 Å = 10−8 cm). Each helix
1. 1 answer
2. asked by Becky
3. 811 views
Let C be the intersection of x^2+y^2=16 and x+y+z=5. Find the curvature at (0,4,1).I don't know how to find the intersection
1. 2 answers
2. asked by Anon
3. 467 views
Compute the flux of the vector field v(x,y)=(x,y) across the circle around the origin of radius 3.Compute the flow of the vector
1. 2 answers
2. asked by Anon
3. 500 views
The mass density at a given point of a thin wire is C is delta(x,y,z)=x. If C is parametrized by r(t)=<e^t,2t,2e^-t>, 0<=t<=1,
1. 1 answer
2. asked by Anon
3. 358 views
Evaluate the surface integralS F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
1. 1 answer
2. asked by Anon
3. 1,085 views
Two ropes are attached to the bumper of a car. Rope A is pulled with a force of 60 pounds at anangle of 30° to the horizontal
1. 3 answers
2. asked by Mitchel
3. 1,684 views
Describe the locus of points in R3 equidistant from the origin (0, 0, 0), andthe plane x + y + z = 1.
1. 2 answers
2. asked by James
3. 495 views
Find the distance from Q=(3,6,4) to the plane n ⋅⟨x,y,z⟩=2 where n=⟨3/5,4/5,0⟩.L=?
1. 1 answer
2. asked by ally
3. 291 views
The plane containing the lines r1(t)=⟨1,−4,−1⟩+t⟨1,2,−2⟩ and r2(t)=⟨1,−4,−1⟩+t⟨1,0,3⟩ has scalar
1. 3 answers
2. asked by ally
3. 1,916 views
Find a parameterization for the curve (1,2) and (4,5).r(t)=<_,_,_,> where _<t<_
1. 1 answer
2. asked by ally
3. 341 views
Show that the projection into the xy-plane of the curve of intersection of the parabolic cylinder z=1−2y^2 and the paraboloid
1. 3 answers
2. asked by ally
3. 2,550 views
Calculate the velocity and acceleration vectors, and speed for r(t)=⟨cos(6t),sin(t),sin(6t)⟩ when t=5π/6 .
1. 4 answers
2. asked by ally
3. 1,627 views
Perform the following operation:[ a 1-a [ 5 4 -1 1+a -a ] 3 -3 0 ] Note: The entries in the resulting matrix are functions of a.
1. 1 answer
2. asked by ally
3. 378 views
The figure below shows some level curves of a differentiable function f(x,y). Based only on the information in the figure,
1. 3 answers
2. asked by ally
3. 948 views
Find the absolute maximum and minimum of the function f(x,y)=ysqrt(x)−y^2−x+3y on the domain 0≤x≤9, 0≤y≤6.
1. 3 answers
2. asked by ally
3. 1,234 views
Find the absolute maximum and absolute minimum of the function f(x,y)=2x^3+y^4 on the region {(x,y)|x^2+y^2≤25}.
1. 1 answer
2. asked by ally
3. 404 views
Find the maximum and minimum values of the function f(x,y,z)=x+2y subject to the constraints y^2+z^2=225 and x+y+z=1. Maximum
1. 2 answers
2. asked by ally
3. 629 views
Fine the contours f(x,y)= k for the k e {-1,0,1,2}. Plot these contour curves using solid line type. Clearly label the curves
1. 1 answer
2. asked by ally
3. 354 views
Evaluate the line integral ∫5ydx+2xdy where C is the straight line path from (2,4) to (5,9).
1. 3 answers
2. asked by ally
3. 874 views
Suppose F⃗(x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 9 centered at the origin oriented counterclockwise. Using
1. 3 answers
2. asked by ally
3. 1,215 views
Let C be the straight line curve between the points (0,5) and (1,0). Let N be the unit normal vector field on C, oriented so
1. 1 answer
2. asked by ally
3. 911 views
Let S be the square in the xy-plane, oriented with the normal pointing in the positive z-direction. Estimate ∬S F⋅dS where F
1. 4 answers
2. asked by ally
3. 1,923 views

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