Q4 Evaluate where F = xi – yj+(x+y+z)k and C is the boundary of the surface z =1,0

Q: Chow is it called, #8 Given the surface x²+ y² = Z² Sketch in 2D the level curve 4 corresponding to…

A: The surface x² + (y²/4)= (z²/9) is an elliptic paraboloid.The level curve for z=12 is an ellipse…

Q: S Ⓒ Directly evaluate SS F(x, y, z)=-yi₁ +x¾-2K^, where s is the surface 2 = x² + y², for 0≤²≤4. Joo…

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Q: Consider the function f(x, y) = xy, for x ≥ 0 and y ≥ 0.                                       (a)…

A: Since multiple subparts are asked, we will solve the first three subparts. To get the solutions for…

Q: Find the sum of maximum and minimum values of the function f(x, y, z) = 4x+ 8y + 12z on the elipse…

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Q: [F•dš where F=xỉ - yj+(x+ y+z)k

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Q: Determine the maximum highest point (x, y,=) the surface on z = 1+ 4x + 4y- x* - y*

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Q: Consider the surfaces. z = f (x, y) = xy(x²-x²) x²+x² z = f(x, y) = 2x - y - 2 z = f(x, y) = 2/12 -…

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Q: For f(x, y, z) = x^2 − 6x + y^2 + z^2 , describe and draw the level surface for the function value…

A: Let w=f(x,y,z) . The level surfaces of w=f(x,y,z) results, when w=k slices the the function,…

Q: 5) Find the maximum and minimum values that 3x - y - 3z attains on the intersection of the surfaces…

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Q: 1/ Find maximum,minimum Z= x³y³-12x + 3y + 12. ,and saddle point of the surface

A: Use the method of Lagrange multipliers to find maxima minima of the given function as in next step.

Q: an initial investment of 1500 thousand dol ollars at the end of each of the next two qua The…

A: Given: Initial Investment=$1500000 Further investment=$250000 (Quarterly) Operating cost=$120000…

Q: (4) Sketch the surfaces. Show some work including intercepts. (a) z² + 2? = 4 (d) + y² + z² = 1 (b)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: Find ||F.dS, F=xyi +4.x*j+ yzk , S is the surface z = xe' ,0<x<2,0<y<2 with upward orientation. (a)…

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Q: Let f(x, y, z)=²—4y². (a) Describe the domain of f. (b) Describe the level surface f(x, y, z) = 2.…

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Q: Describe the level surfaces in words for f(x, y, z) = (r- 16)2 + y? +2. O Concentric cylinders,…

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Q: Q1: Find the maximum and minimum point on the surface f(x,y)= 5xy-7x -y² +3x -6y +2

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Q: Find the traces of the given surface in the planes x = k, y = k, z = k. Then identify the surface…

A: Given the surfaces, we need to find the traces on the planes x=k,y=k,z=k.(a)Consider the surface…

Q: 2 2 f(x, y) = 4x² - y² a) Sketch traces for some values of f(x, y) = k, xz-trace and yz-trace, and…

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Q: 1. Find the equation of the tangent plane for the implicitly defined surface xy + xz+yz = 1

A: First we arrange the equation of the surface into the form  f(x,y,z)=0 xy+xz+yz-1=0