I II IV III VI 1 (a) f(x, y) = 1 x² + y2 1 (b) f(x, y) 1 + x²y2 (c) f(x, y) = In(x² + y2) (d) f(x, y) = cos v x2 + y2 (e) f(x, y) = |xy| ? (f) f(x, y) = cos(xy)

Q: = f(x) g(x) If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = y 6…

A: The given graph of the functions is shown as,Let,Note:  As mentioned in the instruction, we are…

Q: a) (fog)(x) b)(go f)(x) c)f(f(x)) d)f°(x) = (fof)(x) 1 f(x) = X* %3D g(x) = 4x+1 %3D

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Q: Use the second derivative f"(x) = x(x+ 1)(x-3) to determine where the function f(x) is concave down.…

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Q: If cos(4x – y) = x+y, then dx A -1 - sin(4x – y) 2+4 sin(4x-y) (B) sin(4x-y) 1 1+sin(4x-y) C) 1+4…

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Q: f(x, y) = x²/(1 + y²) (a) f(-5, 0) (b) f(14, 1) (-) (c) | (d) f(-8, y)

A: Put value of x and y in given equation.

Q: d. y= x² + y x + cos y

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Q: |(3x + y') dx+ (2xy) dy C:ジャジ x² y² 3D1 16 from (3,0) to (0,4) 9.

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Q: f(x,y) af ?x af ду = af ду X 2x² + 8y² f(x, y) = tan af ?x (5)

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Q: If f(x, y) = (5x- y²) (a) f(1,4) find the following.

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Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: If f(x.y,z)= y + xz then f ,(1,1,1) =

A: The given function is  f(x, y, z) = y5 + xz

Q: 2. At what points of R² is the function continuous? (sin(x² + y²) x² + y² f(x, y) = 0, -, if (x, y)…

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Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).…

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Q: Let f and g be functions differentiable on R. with Find f(x)|x=2= d g(2) = 2, 9(x)\x=2 = 4, de…

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Q: If f(x, y): = x²y (5x - y²) "I find the following.

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Q: ii) Let F(x) = f(rf(xf(x))) where f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6. Calculate…

A: Given function is F(x)=f(xf(xf(x)))