Consider the function z = f(x, y), where x = r cos 0 and y Əz дz a) Use the Chain Rule to find and 20 = r sin 0.

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A: we need to find out the intervals where the given function is concave up and concave down.

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Q: f(x) = 7x^-8e",

A: f(x)=7x4−8exUsing the power rule,ddxxn=nxn−1ddxeax=aeax

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

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Q: Test for convergence or divergence with the Direct Comparison Test.

A: See the answer given below Explanation:

Q: Test for convergence or divergence with the Direct Comparison Test.

A: The given serie is convergent. Explanation: To apply the Direct Comparison Test, compare the given…

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A: V = π²/4Explanation:Thank you ?

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A: The equation of the tangent line of the function y= f(x) at  (x0,y0) is           y-y0= f'(x0)(x-x0)

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Q: Determine the convergence or divergence of the series.

A: Refer to explanation block Explanation:

Q: Let C be the curve y = 7- 6 5 4 3 2 1 @ B +e 3 0.25 0.5 0.75 1 1.25 1.5 1.75 2 Find the surface area…

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Q: Compute the right-hand derivative D-f(0)= lim f(h) - f(0) h→0t h 4x + 7 if x<0 {f(x) = 7x +8 if x ≥0…

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Q: 3 attempts left Check my work 3 Numerically estimate the derivative of f(x)=x² √√x +4 at x = 4.…

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Q: Find the indicated partial derivative. fyxy(x, y)= f(x, y) = sin(3x + 2y); fyxy

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Q: In Exercises 1-6 you are given the parametric equations of a curve and a value for the parameter t.…

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Q: 7 cos x sin x(2+3 2 sin x)² dx

A: The given integral

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A: This answer is given below.Explanation:

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Q: Determine f(x) if f(x)= ax^2+ bx + c so that f''(x) = 6, f'(2) = 13 and f(2) = -1. Thanks!

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Q: Consider the function on the interval (0, 2pi). (A) find the open intervals on which the function is…

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Q: Solve by using u-sub  Find integral  3X/X+4 DX

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Q: Given the function f(x) = x¹ - 14x², determine all intervals on which f is increasing. State what…

A: Given: To Find:  To determine all  intervals on which f is increasing.To determine the critical…

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A: The curve is defined by  .Find the length of it.

Q: d. Ek-2h(k) e.Ek=19(k)h(k)

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Q: Q/find the integral (After integration with the substitution X = 25 in U 4√2 3 2 (4- x²)³/2 dx -2

A: The given integral is

Q: (20%) Use the following principle of differentiation y' = (y) = (y + Ay)− Y = lim Ay _ dy d = lim dx…

A: Solution is following in explanation step.

Q: Compute the right-hand derivative D.f(0) = 4x+7 if x<0 {f(x) = 7x+8 if x 20 The right-hand…

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Q: If f (x) is continuous and 8 froa f(x) dx = 12, then find S²x² 0 x²f (x³) dx

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Q: 3) What does the matrix 1 0 0 0 1 0 001 represent?

A: The matrix represents the identity matrix of size 3x3.Explanation:In the given, the matrix…

Q: 4. (20%) Derive the quotient rule du dv V -U dx dx V² dy dx = (la) if y = 40 (1b)

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Q: 2. If the portion of y 2 between x = 0 and x = 4 is rotated about the x-axis, what would be the…

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

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A: The objective of this question is to find the direction of maximum rate of change of the function…