Calculate f(x, y, z) dS For Is f(x, y, z) ds = y=9-z², 0≤x, z≤ 8; f(x, y, z) = z

Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: A. Find the answers to the following. Write the letter that corresponds to the correct answer in the…

A: The reciprocal of a fraction can be obtained by switching the numerator and denominator of the…

Q: It is f(r,y, 2) = xyz Determine the expression for the options below: I. az af az = Y. af az 0. af…

A: The function is given by fx, y, z = xyz To evaluate: The expression of ∂f∂z

Q: Find f„(x, y). f,(x, y), Sa( – 2, 4), and f,(4, - 3). 5. fх, у) 3D 2х —-5ху 6. f(x, y) = 5x + 7y

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Find fa, fy, fyx and fy if f(x, y) = x + y + xy ух

A: This is second partial derivative so do the derivative like normal considering all other variable…

Q: Find fyx. zyx 5,6 3 f(x, y, z) = x³y2³ + xy + yºz z

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, 6) = -7, us (3,- 6) =…

A: Please see the attachment

Q: If then fyy = Select one: O True O False f(x, y) = 2(x² + x) (x - y)³ x² + y x - y

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Q: Let f(x, y) = x²y³, then Vf(1,2)= Select one: True False

A: Given problem:- fx,y=x2y3 Then ∇f1,2=16,12?

Q: D(3, 7) E(6, 1) F(20, 8) Is the line joining D to E perpendicular to the line joining E to F?

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Q: 3. Which function has a range of yS 3? Ax) -- +3 с. a.

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Q: If then fyy - Select one: O True O False f(x, y) 2(x² + x) (x - y) ³ x² + y x - y

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(2, 6) F„(3, – 2) = 3,…

A: Consider the function of several variables Ws,t=Fus,t,vs,t It is given that, u2,6=3us2,6=-7ut2,6=9…

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and u are differentiable. If u(-6,0) = 6, u,(-6,0) = -2,…

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Q: Find fx and fy for f(x, y) = 2x³ + x³y² + 3xy² + y ³ Select one: a. fr = 4x² + 6x²y² + 3y², = 6x² +…

A: Given function:- fx,y=2x3+x3y2+3xy2+y3

Q: Consider f(x,y) = xe*y +. Find fx , fy and fxy. y

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Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 5xyz k. V x (V × F)

A: Given function is F→x,y,z=9xyj^+5xyzk^. To find:  ∇×∇×F→ Concept: Cross product formula for given…

Q: 2 The Range (Ry) of y = v9 – x² -

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Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t). If g(6) = −4, g'(6) = −8,…

A: Step 1: Given that z=f(x,y),x=g(t),y=h(t) and…

Q: Choose the correct answer If f(x,y)=x2+2y2, then fx(2,1) and fy(2,1) are...  fx(2,1)=5, fy(2,1)=5…

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Q: Let f(x, y) = vax?y? + by. Compute f,(c, d) for the following values: a = 9, b = 3, c =3, d = 2.…

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Q: 3. Which of the following represent linear function? a) 3x = 20-4y b) y-4 =0 c) x' +3y = -10 d) y =…

A: The function which can be expressed in the form of Y=aX+b is called as a linear function.