Let X:U(0,1) and Y = eX , then E(Y) Select one: а. 1- e O b. e-1 - 1 C. 1- e-1 O d. e - 1

Q: The linearization at a=0 to √2+5x is A+Bx. Compute A and B

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Q: A = ëx + 3ểy – 2ẻ, B = 4ẽx – ểy Ĉ = -3ẽz – 5ẻ, Ả x =?

A: vector product

Q: -4 and C = 7 A = y В 1 3. Let Find x, y, z 2 -3 such that AB =C.

A: The matrix multiplication of two square matrices is performed as follows. Let P=ab cd and Q=ef gh .…

Q: Evaluate the following: 1) ² (y² + y)dxdy

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Q: Let x = (m, 1, 0,-2)", m> 0 and ||x||2 = V30, then т — Select one: а. 4 b. 7 C. 6 d. 5

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Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: If fe F- di = Scl-5x + 4y) da + (a*y) dy, what is F? F =

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Q: -3 -3 1 2. Let C = 6. and B = -6 -6 -3 4 7 A. Find PC→B. -5 B. Let u = 8 Find [u]c. -5 C. Use part…

A: As this problem is related to change of basis of a matrix, hope you know how to find inverse of a…

Q: Let f(x1, x2, X3)=( x1³ + x2, x1² + x3). Find df(1,2,3)(-3, –2, –1).

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Q: (2a® + a² – x – 2)dæ

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Q: Evaluate (3x²y + y)dx + (x³ +x) Select one:

A: Here we have to evaluate ∫(1,2)(4,5)3x2y+ydx+(x3+x)dy ............(1)  Here P(x,y)=3x2y+y and…

Q: 2y³ + y y4 + y² + 1 (e-y. V5+ e-y

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Q: Let f(x.y) = In ( x2 + y ). If f,(2,a)=f,(- 1, 2), what is the value of a? O a. 6 O b.3 O. 7 O d. 8…

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Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

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Q: flx, y)=5x8-78 39. If find Fand Jy.

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Q: дz дz If z = f(x, y), find a and for the following equation əx ду z = x² + 3xy + y³

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Q: -5dx 8. Evaluate. (c + 0) cx+d

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Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

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Q: Yij - y = yij – J,. = yj - , + , -y. Given %3D | (Yj – y)? [(Yj – Y;) + Cỹ, – y) - - i. be

A: Given that…

Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: Given u = r² cose and v= = rsin²0, please write down the expression of ər 3 and 3 ди by (r, 0)

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Q: (D² - 3D + 2)y=e5x, Find Y = Yc + Yp a. 1 0² C²²² +₂²³ +2² Cet C 2 2x 5x 12 O b. O C. O d. Ce + Ce 2…

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Q: Calculate (2x+3y+z)dV where = [1,2] x [-1,1] × [0,1] A. 0 B. 1 C. 4 D. 7

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Q: d²x is dy2 15 If x = (3 2y)5/2 , then 15 А. — A. -15(3 - 2y)1/2 В. 2 (3 2y)1/2 C. - (3 2y)1/2 D.…

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Q: If y 0 then 25y2- 9y? V25y2 -9y2 O 16y 04y O4y?

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Q: əz If z = f (x, y), find and for the following equation z=-2xy

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Q: If f = 5x²y² – XY² then find df at (3,1) dx O 28 O 20 O None O29

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Q: Find V. (Fx G), if F(x, y, z) = 4xi+j+13yk and G(x, y, z) = xi + yj – zk. V. (Fx G) =

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Q: ind the value of x and y given that X. - 24 3 土 %3D 2 -2x 4 -5

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Q: If w = 9x² - 4y, x = -6s+3t, and y = = Provide your answer below: Əw = Ət -4s + 9t, find dw Ət in…

A: Please see the below picture for detailed solution.

Q: Find and a and дхду f(x,y) = x2 - y2 + 6xy + 4x – 8y + 2 a. b. f(x, y) = e*y + xy

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Q: If y-2xy 21, then dy dx at the point (2,-3) is

A: We have to find dydx at the point 2, -3 for the equation or expression: y2-2xy=21 We know the…

Q: The function y = Ce* + C2e-Sx is the general solution of a) Oy" – 3y – 10y = 0 b) Oy" + 2y + 10y = 0…

A: We have to find the differential equation whose general solution is y=C1e2x+C2e-5x .