Compute the Jacobian G(u, v) = (9ue", 2 + 3e“). (Use symbolic notation and fractions where needed.) Jac (G) =

Q: f = {(-9, – 2), (-8, 5), (-6, 1), (- 3, 7), (–1, – 2),(0, – 10)} and g = {(-7,7), (-6, 6), (-5, 5),…

A: Given that, f = {(-9, -2), (-8, 5), (-6, 1), (-3, 7), (-1, -2), (0, -10)} g = {(-7, 7), (-6, 6),…

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: 5u + 3 at u=3 2.

A: We need to find 5u+32 at u=3. So,       5u+32=5(3)+32=182=9.

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

A:

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

Q: Find the following products for P (7,0,2), q = (-2,2,-2), 7 = (0,2,-3) (F. P)a

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Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: Let F = (2x, 3y, 7z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

A: the divergence (div) and curl of the vector field F = (2x, 3y, 7z), we can use the standard…

Q: 3xy If z determine 2x - 3y

A:

Q: Find the dim U where -3 4 U = Span 1 -9

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Q: O Determine rand s so that, 3.

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Q: |- 4X

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Q: Evaluate A- using the method of adjoints 3 2 7 -3 3 4 1 A = 1 -4 -3 -4 1 -2

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Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

Q: giv component förm Find (-2, 7) (6, -9). o/O (0.0)

A: We apply formula <a1, b1> . <a2, b2> => < a1.a2 , b1.b2>

Q: ind AxB for A = {1,2} and B = {r,s, t} %3D

A:

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Find the antiderivative Q (t) of f(t) = t√/t - t√t A. Q (t) = ²/t²¹ √t + / + C B. Q (t) = ²√t-/+ C…

A:

Q: fonthe bougaht we write an quakinn yo bmx+ fthe Cmve Seex

A: The slope of tangent to any equation is determined by finding its derivative. If y=tanx+tanx1+secx…

Q: Let a = -27 +53 + 4k. Find a.

A:

Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

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Q: (² 4 Calculate AT Let A = Select one: O a. O b. O C. O d. (63) 5 TOT -4 0 0 -2 -3 2B. 2 (9²) -5 -2 0…

A: The matrices are given by A = 0-24-3B = 21-11 To evaluate: The value of AT-2B.

Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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Q: Suppose B = (-8, –9) and АВ — (-16, –16). Then || A =

A:

Q: U(9) has how many elements?

A: We know that- U(n) is the set of natural numbers  that are less than n and coprime to n.

Q: (2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

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Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

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Q: Given t= (8,-7) and u = (-11,-4), what is t-u?

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Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (−1, −1, 1), v = (−1, 1, −1)

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Q: S (sec5x – tan5x)sec5xdx - Select one: O a. (tan5x - sec5x) + C O b. (tan5x – sec5x) + C O c.…

A: