In the given integral below, what is the values of u and a? * dx УЗ — х2 — 2х и 3 х+1аnd a — 2 и 3 х+2 аnd a — 2 Option 4 Option 3 и %3 х — 1 апd a — 2 и %3 х — 2 апd a — 2 Option 1 Option 2

Q: Differentiate. x3 7) y = X- 1

A: Given : y = x3x-1

Q: 6. Evaluate dx

A: Introduction :

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

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Q: 2. / Vy² – 4y + 10 dy

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Q: Differentiate. x ujX = A 2 In x O (In x)2 x U -x u No new data to save. O00 F5 000 F4 F2 F3

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Q: Evaluate lim, f(x) using the graph of f. x2+ 0 b. +00 6

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Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: 3. Show that (1+i) = 2i

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Q: 22) S, S** xdydx=? А. 1/3 В. % С. 3/2 D. 5/6

A: The given integral is ∫01∫0x+1x dy dx

Q: x+3 dx. 2x -7

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Q: 4 Compute |w using w= - 3 - 4

A: Given a vector space V over a subfield F of the complex numbers , a norm on V is a real valued…

Q: ...=A.B Ā.B al B =i- 2K 3Ã = 2ī – 35 – k US i3/

A: Here we have given two vectors A→=1i⏞-3j⏞-1k⏞ , B→=1i⏞-2k⏞ and we have to calculate A→.B→.

Q: 2х + у dy 3+ 3у? — х dx 3.

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Q: 2x Eyaluate dx . 1-4x4

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Q: 1. Which is the simplified form of 3xy x 5xy? a. 15x'y? b. 15x*y 15xy d. 15x'y Cc.

A: Write in simplified form 3x2y×5xy.

Q: 7. (50 u) du + (3v - 7u) dv 0. ANS. (3v +u) = c(v u).

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Q: If x = 2u³ – 3u? and y = u³ – 3u, then is dx u -1 A. 2u В. C. "+1 2u D. "+1 B.

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Q: If find az/au and az/av. дz/?u = Əz/dv= z = xe", x=u³v³, y=u³+v³₂ (In your answers, do not rewrite…

A: z=xeyx=u3-v3y=u3+v3from chain rule ∂z∂u=∂z∂x×∂x∂u+∂z∂y×∂y∂u

Q: 2x- x 4xy dydx = 0, 4 a. 3 O b. 4 c. 1 O C. O d. 0 e. 8 Of. 2 O g. 2 O h. 8 3 O i. 6

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Q: Find the solution of the system of linear equation and the value of the determinant of its…

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Q: d. Use your work in (a)-(c) to evaluate the indefinite integral f sin³(x) dx. e. Use a similar…

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Q: 5. Assume that the helium porosity (in percentage) of coal sam- ples taken from any particular seam…

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Q: what chorces for 4, dv simplify, will x In Cy) dx vsing integrat by parts lON

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Q: dt. 1+ 6 Jo

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 1. If y² = 10x, then A. C. 1 5 2xy 1 2x d²y dx² = Əx Jx 24 dly 2x2 = 5 2ху 3150 5x B.) - 5 2y D.…

A: We have given function  y2=10x Differentiating with respect to x 2ydydx=10ddxx 2ydydx=10 ydydx=102=5…

Q: Activity 5.1.2. Suppose that the function y = f(x) is given by the graph shown in Figure 5.1.2, and…

A: Given the graph of a function y=fx and F is an antiderivative of fx, such that F0=-1.