Suppose that y is a differentiable function of x and w = cos(y5). dy Express the derivative of w with respect to x in terms of x, y, and dx Choose the correct form for dw dx A = B = C = dw = dx dw dx = A y sin(y) dy dx A y³ cos (y) dy dx and fill in the blanks for A, B, and C.

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Q: w=f(u) + g(v), where u = x+iy, v=x-iy, and i=√√√-1. Show that w satisfies the Laplace equation wy +…

A:

Q: Given that calculate the following partial derivatives af 3x af ду = 22 f 0x2 02 f ду2 22 f ?хду 02…

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Q: Number of Permutations of n objects taken r at a time without repetition, denoted „P, is P₁ = (n-1)!…

A: here we have two examples as follow

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Q: in 20 minutes

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Q: lim x--2 1 1 2 + - X 2+x

A: We have to slove above question

Q: For q units of a product, a manufacturer's cost is C (q) dollars and revenue is R(q) dollars, with C…

A: Solution: Given:  C(500) = 7800, R(500)=9300 , MC(500)=18, and MR(500)=22

Q: 3) Use the squeeze theorem to show that the following limit equals zero. Show all work TT lim (√x³ +…

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Q: Eliminate the arbitrary constants c, and c₂from y = C₁ + С₂e³x 3x a. y" -y+x=0 b. y + 4y¹ = 0 c. y -…

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Q: The gradient of f(x, y) = xy at (x, y) = (−2, 1) is

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Q: Find the derivative of the function using the definition of derivative. h(v) = 6v² - 5 h'(v) =

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A: Given;  F(x,y,z)=(y-z, x-z, x-y).

Q: Which of the following have the same value sin x with lim? X x →0 lim x-0 lim 1 X-- lim x 0 1 sin (x…

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Q: lim x->3- x2-x-6 / x2-7x+12

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A: To find the first five terms of the given sequence and to determine whether it diverges or not.

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Q: Question #6 - Find the following for the function f(x)=20x²-3x³ a) The coordinates for the relative…

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Q: whats y" of y=15xcosx

A: