af(x, y) If f(x, y, z) = , then is equal to dz (y – 2)² (y – 2)? O 1 2z – x – y (y – z)?

Q: 2. C sin $ 2wcos° 2wcw 3. If f(x) = Vi19+r² dt , find f'(3).

A:

Q: Find the average value of the function over the indicated interval.   ​(B) Graph the function and…

A: To find the average value of the function,      fA=1b-a∫abf(x)dxWe have, f(x)=500-90x, a=0, b=2

Q: Find the area bounded by the graphs of the indicated equations over the given interval.     y=−ex​;…

A: Note:- Here your equation of equation we use y=-ex , y=0 , -2≤x≤1  Given problem:- Find the area…

Q: Question 1 Give an integer a E Z which makes the following equality true for y = a". 7 log.ry (y) 8…

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Q: the in integra a) (x³ + 1)dx

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

Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

A: calculation of above requirement are as follows

Q: 7 dx x² + 52 Integrate: + C

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. S sin“…

A: To evaluate : ∫sin4⁡3xcos⁡3xdx Let I = ∫sin4⁡3xcos⁡3xdx Let sin3x = u Differentiating both sides we…

Q: 0.4x Find the area between the curves y = e and y 1.9x + 1 from x = 0 to x = 3. Area =

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Q: Use the divergence theorem to compute sS Fonds, where n is irected ourword, FCX,YZ=-2xi +4yj-7zK.Ź…

A: Here's the solution... please have a look at it...

Q: 9. 5+ 8 7- 6- 3 5 4 2 g(x) 2 h(x) 1 1 1 2 3 x-values 4 5 1 2 3 x-values 4 If f(x) = g(h(x)), then…

A: Explanation of the answer is as follows

Q: Plot the points with polar coordinates -5, and 4, using the pencil. 11a 6. 4. 4T 3 如不

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Q: -dx is an improper integral. A) True B) False

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Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 3. -1 -1 4 5 -2 -3 -4 |…

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Q: Question 16 Find the equation of the tangent plane to the given surface at the indicated point. x2…

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A: In the given question we have to find the values of s for which the solution space passes from the…

Q: The derivative with respect to x of | (3Vi-1) dr is 3x – 1 by the 2nd fundamental theorem of…

A: Given that,         ∫3x3t-1dt

Q: Use the graph of the function f to find the limits at the indicated valu 4+ 3. y=f(x) 2 1 2 3 4 566…

A: Given query is to find indicated limit.

Q: 5. Write an expression equal to - log. (c) · log (b) |using exactly one log. (hint: the base of the…

A: To answer the given question of logarithms.

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A: The equation of the line and the parabola are: C1: y = x2…

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A: Topic:- geometry

Q: The astroid curve below is defined by the parametric equations x(t) = 2 cos' t, y(t) =2sin't.…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: Question 28 Find T, N, and B for the given space curve. r(t) = (In (cos t) + 8) i + 7 j + (5+t) k,…

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Q: H.W: Evaluate the integral 3 0 2π π 5. || (sinx + cosy)dxdy

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Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: 6. Write an expression equal to log3(4) + log,(5) |using at most one log. 7. Give one example a that…

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Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

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Q: N h(x) = -0.8(x + 5)+39.9482 i(x) = 2-0.8(x-43.79)

A: 7) h(x)=-0.8(x+5)+39.9482 8)i(x)=2-0.8(x-43.79) 9) j(x)=0.1(x-57.5)2-0.0025(x-57.5).

Q: Your questions is to find the first and second derivatives in the given functions SHOW ALL OF YOUR…

A:

Q: Q2) Apply the differentiation rules to find the derivatives of: Inx 5 (a) y=x*.e*+2- Inx- cosx (b)…

A: Solve the following

Q: Solve the seperable differential equation 10yy' = x. Use the following initial condition: y(10) = 7.…

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Q: PART III: APPLICATION 5. a and b have magnitudes of 5 and 6, respectively. The angle between them is…

A:

Q: Evaluate the definite integral

A: Evaluate the definite integral .

Q: 19. dr V4-a 20. dr 21. 2)

A:

Q: lim In(z – 1) – In(x“ – 1) = %3D

A: Given

Q: sinh(3 In(a)) = (A) - (B) a³ – (C) 을 + 3a - (D) – 11 -18 -13 - -

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Q: C sin 2wcos 2wciwv

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Q: 4. Consider the figure below. y=4 x Find the volume of the solid generated when the shaded area a.…

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Q: S dx e+1 Qn Solue

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Q: Question 1 Give an integer a E Z which makes the following equality true for y = x". 7 log.ry (y) 8…

A:

Q: Find an equation of the tangent plane to the given surface z = x sin(x + y) at the point (-1, 1, 0).

A: Given,  z=x sin(x+y) ⇒x sin(x+y)-z=0 Let f(x,y,z)=x sin(x+y)-z Recall: The equation of the tangent…

Q: | h(r)dr 19 and | h(r)dr = 8.3 what does the following integral equal? h(r)dr =

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Q: 4) Compare your answers

A: answer is in next step

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

A: tan-1(xy)=sin-1(9x+9y)differentiating w.r.t. x;   11+(xy)2ddx(xy)=11-81(x+y)2ddx(9x+9y)…

Q: raluate the following definite integrals.

A: Topic:- definite integration

Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 3x, x = 4, x = 5 and y =…

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Q: Solve the problem. 12-64 For what values of t is r(t) = ti+ j continuous? 12 + St O {te D: t#0 and…

A: We have to find out