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Find the average temperature on that part of the plane 2x + 3y + z =...
Compute the value of the function G(z, y, z) = 2x y integrated over the portion of the plane 3r +...
Compute the value of the function G(z, y, z) = 2x y integrated over the portion of the plane 3r + 3y + = 144 over the square in the xy-plane with opposite corners (1,2) and (3,4).
Compute the value of the function G(z, y, z) = 2x y integrated over the portion of the plane 3r + 3y + = 144 over the square in the xy-plane with opposite corners (1,2) and (3,4).
Question 1 < Find the tangent plane to the equation z = 3.12 2y2 + 3y...
Question 1 < Find the tangent plane to the equation z = 3.12 2y2 + 3y at the point (-4, -3, - 75) 2 Question 2 Find the tangent plane to the equation z = 5ex°-by at the point (12, 24, 5) Question 3 < > Find the tangent plane to the equation z = 5y cos(3x – 2y) at the point (2,3,15) z = Question 4 at the point (4,2,8), and use it to Find the linear approximation to...
Find an equation of the plane tangent to the following surface at the given point. yz...
Find an equation of the plane tangent to the following surface at the given point. yz e XZ - 21 = 0; (0,7,3) An equation of the tangent plane at (0,7,3) is = 0. Find the critical points of the following function. Use the Second Derivative Test to determine if possible whether each critical point corresponds to a local maximum local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the...
X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve...
X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve parameterizes the graph of y = sin | 2x | in the xy-plane.) An equation for the circle of curvature is (Type an equation. Type an exact answer, using π as needed.)
X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve parameterizes the...
Find Vf at the given point. f(x,y,z)=e*** cos z + (y + 2) sinx (Type an...
Find Vf at the given point. f(x,y,z)=e*** cos z + (y + 2) sinx (Type an exact answer, using radicals as needed.)
Find the area of the surface. The part of the plane z = 6 + 2x...
Find the area of the surface. The part of the plane z = 6 + 2x + 3y that lies above the rectangle (0, 9] [1, 6]
Find each of the following values given that f(x)= and g(x) = 2x +1. b. (f-9)(0)...
Find each of the following values given that f(x)= and g(x) = 2x +1. b. (f-9)(0) a. (f+gX-1) c. (fog)(2) . (9) a. (f+9)-1)= (Simplify your answer. Type an exact answer, using radicals as needed.) b. (f-9)0)= (Simplify your answer. Type an exact answer, using radicals as needed.) C. (-9)2) = (Simplify your answer. Type an exact answer, using radicals as needed.) d. (1) (Simplify your answer. Type an exact answer, using radicals as needed.)
Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. f(xyz) = 4x,...
Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. f(xyz) = 4x, where S is the cylinder X + z2-25, 0 ys2 The value of the surface integral is (Type exact answers, using T as needed.) Find the area of the following surface using the given explicit description of the surface. The cone z2 = (x2 +y2) , for Oszs8 Set up the surface integral for the given function over the given surface S as a...
Find the directions in which the function increases and decreases most rapidly at Po Then find...
Find the directions in which the function increases and decreases most rapidly at Po Then find the derivatives of the function in these directions f(x,y,z) = (x/y) - yz, Po(-3.1.4) The direction in which the given function f(x,y,z) = (x/Y)- yz increases most rapidly at Po(-3.1.4) isu = 11+( 1+ k (Type exact answers, using radicals as needed) The direction in which the given function f(x,y,z) = (x/y) - yz decreases most rapidly at Po(-3.1.4) is -u=1:-( k (Type exact...
Find an equation for the line tangent to the curve at the point defined by the...
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =
Compute the value of the function G(z, y, z) = 2x y integrated over the portion of the plane 3r + 3y + = 144 over the square in the xy-plane with opposite corners (1,2) and (3,4).
Compute the value of the function G(z, y, z) = 2x y integrated over the portion of the plane 3r + 3y + = 144 over the square in the xy-plane with opposite corners (1,2) and (3,4).
Question 1 < Find the tangent plane to the equation z = 3.12 2y2 + 3y at the point (-4, -3, - 75) 2 Question 2 Find the tangent plane to the equation z = 5ex°-by at the point (12, 24, 5) Question 3 < > Find the tangent plane to the equation z = 5y cos(3x – 2y) at the point (2,3,15) z = Question 4 at the point (4,2,8), and use it to Find the linear approximation to...
Find an equation of the plane tangent to the following surface at the given point. yz e XZ - 21 = 0; (0,7,3) An equation of the tangent plane at (0,7,3) is = 0. Find the critical points of the following function. Use the Second Derivative Test to determine if possible whether each critical point corresponds to a local maximum local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the...
X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve parameterizes the graph of y = sin | 2x | in the xy-plane.) An equation for the circle of curvature is (Type an equation. Type an exact answer, using π as needed.)
X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve parameterizes the...
Find Vf at the given point. f(x,y,z)=e*** cos z + (y + 2) sinx (Type an exact answer, using radicals as needed.)
Find the area of the surface. The part of the plane z = 6 + 2x + 3y that lies above the rectangle (0, 9] [1, 6]
Find each of the following values given that f(x)= and g(x) = 2x +1. b. (f-9)(0) a. (f+gX-1) c. (fog)(2) . (9) a. (f+9)-1)= (Simplify your answer. Type an exact answer, using radicals as needed.) b. (f-9)0)= (Simplify your answer. Type an exact answer, using radicals as needed.) C. (-9)2) = (Simplify your answer. Type an exact answer, using radicals as needed.) d. (1) (Simplify your answer. Type an exact answer, using radicals as needed.)
Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. f(xyz) = 4x, where S is the cylinder X + z2-25, 0 ys2 The value of the surface integral is (Type exact answers, using T as needed.) Find the area of the following surface using the given explicit description of the surface. The cone z2 = (x2 +y2) , for Oszs8 Set up the surface integral for the given function over the given surface S as a...
Find the directions in which the function increases and decreases most rapidly at Po Then find the derivatives of the function in these directions f(x,y,z) = (x/y) - yz, Po(-3.1.4) The direction in which the given function f(x,y,z) = (x/Y)- yz increases most rapidly at Po(-3.1.4) isu = 11+( 1+ k (Type exact answers, using radicals as needed) The direction in which the given function f(x,y,z) = (x/y) - yz decreases most rapidly at Po(-3.1.4) is -u=1:-( k (Type exact...
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =
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