Find V (V × F), if F(r, y, z) = 7e"i+6xe"j – 2ev²k. V· (V × F) =|0

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Q: Determine whether z is a function of x and y + z2 = 1

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Q: 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)?

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Q: If the profit function for a product is P(x) = 6400x + 80x² – x³ – 190,000 dollars, selling how many…

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Q: Find div F and curl F if F(x, y, z) = 4y³z'i – 11a"z°j – 4xy°k. - -

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Q: Given the function, f(x) = 5 – x using a Riemann sum, estimate the area of the region between the…

A: Given problem:- Given the function,   f(x) = 5-x using a Riemann sum, estimate the area of the…

Q: Find V· (V × F) if F(x, y, z) = 9 sin xi + 5 cos(2x – 3y)j+ 7zk. - V·(V × F) %3D

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Q: Determine the vector field of F. F(x, y) = yi - xj

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Q: Find the average value of the function f) = 8-7 on the interval [0, 9]. %3D

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Q: (-x+82.762) 1(x) = 0.5e - 25.7 12 М m(x) — 0.15(х - 90)2 — 25.7

A: To find thee first and second derivative of the functions given.

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Q: If f(x) sin (2a+5) then dom(f) = %3D x+2 (A) (–3, –2) (B) [–3, –2] (C) (–1,1) (D) [–3, –2) (E) (-∞,…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 30x from (30, 30) to (0,0). NOTE:…

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Q: sin(ry), Which of the following is TRUE for lim(z,1)>(0,0) Lütfen birini seçin: a.The limit value is…

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Q: (2+금) 3 29 7. Suppose that lim In Fill in the boxes for the corresponding equation -- - - '(2+금)% n…

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A: On solving this we will get:-

Q: EXAMPLE 9 Evaluate the integral. In (dr SOLUTION We let u = In(x) because its differential du = dx/x…

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Q: Solve the initial value problem. 4 y(x) = 4 sec(3.x) tan(3.x) ; y(7) = %3D 3

A: y'(x) =4 sec(3x) tan(3x)y(x)=∫ 4 sec(3x) tan(3x) dx3x=t,dx=dt3y(x)=43∫ sec(t) tan(t) dt     =43 sect…

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

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Q: b) X, + X2 - 2 X3 +Xy = a) 5X +2y = 1 3X +2y %3D = 1 Xz - X3 +2 Xy = 1 %3D = 5 X - 5y = 6 c) 2x, +8…

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Q: 7 dx x² + 52 Integrate: + C

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Q: Evaluate the following definite integrals. 4. , kr+2/dx

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Q: evaluate y" -2y' +5y=0 y(0) =1, y'(0)=3

A: Solve the following