1. Let f(x,y,z) = 2.x* +8yz' +8 . Find f(0,5,1). A) 48 B) 128 C) 48 D) 9 E) 22

Q: 16) Which function will shift y= vx right 4 units and up 1 unit? A) y = Vx + 4 +1 B) y = Vx + 1 C) y…

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Q: Let y = (-4 + 35)ª. Compute O A) 6 O B) 24 O D) -6 O E) none of these

A: Calculus Question

Q: 24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

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Q: If x* + y* – xy+z – 3z = 1, then dz %3D a) None of these b)금 (423-y) c) y-4x3-4y3+x 2z-3 d) y-4x3…

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Q: Assume that n(U)= 85, n(A’ intersect B’)= 19, n(A’ intersect B)= 22, and n(A intersect B’)= 23. Find…

A: Given that n(U)=85, n(A'∩B')=19,  n(A'∩B)=22,  and n(A∩B')=23. We need to find, n(A∩B) and…

Q: 54. Find numbers a, b and c such that x = 1 + at y = 2+ bt is perpendicular to 2x + y - 3z = 1 z 3+…

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Q: Q3) If f(x, y") = x + y? + Vãy find: af(x²y) and Ty) ду afxy)

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Q: 4y² Given the function f(x,y)= find each of the following. SIMPLIFY A) f,(x,y)=. B) f,(x, y) =- C)…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: 2) y' – 10y + 25y 24te y(0) = –2, -10; - = (0)fi

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Q: dx Evaluate: a) - x² +4x + 20

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Q: Determine fx when S(r , y) (x² + 2y)(y² – x) .

A: Given f(x,y)=x2+2yy2-x. The main objective is to determine fx.

Q: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

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Q: 20) Given f (x, y) = e*- 3x*y + 5y, find each of the following: %3D a) fx b) fyy c) fay(-1,2)

A: Just find partial derivative and put the values

Q: 1) slz) = 3 -3 A) Yes B) No

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 10. Given f (x, y, z) = x³y²z5, please compute 87 f 8x²8y6z4

A: From the given data we have to find the value of  the partial derivative.

Q: sst. Let f(x, y, z) = x³ yª + zª and x = s5, y = st³, and z = s

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Q: 11. Find if y = va a) c) 2va 1/2

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Q: If f(x-2) =-2x + 5, what is f(-3) equal to? A) 7 В) 11 C) -1 D) not exist

A: Convert the function in single variable x only.

Q: az az + x əx %3D Let z = f (x² – y²). Show that y ду

A: The given function is: z=f(x2-y2) Now partially differentiate above with respect to x and y,…

Q: 5х Calculate: dx (x² + 5)² 5 + C x2 + 5 a) O- + C 4 x2 + 20 b) + C c) 4 (x² + 5)² + C 2 x2 + 10 d) 1…

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Q: 2. State the leading coefficient, degree, and symmetry. [K/U 6] b) y= e a) y=3x-4x² + 2 -6x c) d)…

A: Given: a) y=3x4-4x2+2Leading coefficient=3, degree=4 and symmetry=y-axis

Q: If f f(x) dx 2 and g(x) dr 5 what is 2f(x) +g(x) dæ? 0 4 O 11 13 0 7

A: Let ∫abf(x)dx=m and ∫abg(x)dx=n then ∫ab[af(x)+bg(x)]dx=am+bn

Q: to of 3g dx Be

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Q: If hx) = Jx-4 then h*(-1) – h(20) is %3D a) 9 b) 5 c) 1 d) 4

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Q: 21. Let V1 = 1 0 -1 V2 H " V3 = 0 {V1, V2, V3} span R4? Why or why not? 1 0 0 . Does

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Q: 1 3 For V Vy evaluate y' when y = 4. A) 4 B) -4 C) -2 D) 2

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Q: dx and u = 3x-2 1. y 2+1 + 3

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Q: 6) Let f f(x)dx 16, f(x)dx 10, fdx 5 then f(x)dx = A)-1 C) 31 B)-11

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Q: Q1 1) z = xy +y,wherex =r-s,y =r +3s then ar a) (3y +x) b) (3x +2y) c) (2x +y ).2 d) Noneofall

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Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A: Solution:

Q: + xln\ V 1 – x° | dx

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Q: Ex.5. min (may fi Cx) =5x,+ 4x2, fz (x) = - x,t 2x2 | ļ 24 st. 6x+4k, 5 24 X,t 2X, ļ 6 ード ド,20

A: Given is a linear programming problem   To Solve the given problem