Determine the area that lies under f (x,y) = 9x² + 4xy + 4 and above the rectangle given by [-1,1] × [0,2] in the xy – plane. %3D

Q: justify lim O Find and the xy

A: It belongs to Multivariate Calculus (specifically several variable),so I can do it in advanced…

Q: 1. Let U = {1,2,3,4,5,6,7},A= {l,2,3,4}, B (3,4, 5}, C = {2,3,4,5,6}. Find the following: %3D a. AUB…

A: Given,U=1,2,3,4,5,6,7A=1,2,3,4B=3,4,5C=2,3,4,5,6

Q: b. 3 4 9 1 6 7 6 8 6 6 4 2 7 3 4 4 1 5

A: this is matrix question  apply matrix subtraction operation, you get result

Q: B through f

A: (b) A(7)=∫07f(t)dt=Area under the curve from x =0 to x =7=Area of triangle (from x =0 to x=1)-area…

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A: A detailed solution is given below

Q: Find projvu if scalvu = -2 and v = ⟨2, -1, -2⟩.

A: Consider the given vector.u=-2 and v=<2,-1,-2>.The projection is defined as,Projection of…

Q: In the diagram, what is the area of the shaded region? а. 9т — 36 b. 12т 36 с. 9т 18 d. 127 - 18

A: Given, a circle with radius  6. Also, a triangle is inscribed inside the given circle, the triangle…

Q: , provided

A: Given that,f(x)g(x) The above statement will be defined only when g(x) is not equal to zero for any…

Q: not clear

A: A transformation T:Rn→Rm is linear if and only if the following relationshipshold for all vectors u…

Q: Pind D owain and The range 2. 2メ - Sec 4.

A: I have solved using the range of cosinex

Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

A:

Q: Find aly if and of to

A: Differentiation

Q: 1. In circle A below, which of the following is not true? O EF is a chord CB is a tangent line BA is…

A:

Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: only one answer is correct

A:

Q: Find a and b such that 2 1 = a -4 + b -4

A:

Q: Find uxv

A: Given: u=-12;    v=31Note: if u=(A)2×1 ,…

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

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A:

Q: 1

A: Rationalize of denominator

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A:

Q: Let a = [1, -3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: |a + c² + |a − c|² - 2(|a|² + |c|²)

A:

Q: а. In(3x — 5) %3D 0

A: we have to solve for the exact value of 'x' (1) ln(3x-5)=03x-5=e03x-5=13x=6x=63x= 2

Q: Help??

A:

Q: Show that AB = O, even though A ≠ O and B ≠ O.

A:

Q: Let A = { 1, 2, 3, 4 } and B = { 4, 6, 8, 10 }. Find A x B

A:

Q: What is cross ?

A:

Q: - 12 dt = t2 +t – 2

A: We are using integration after decomposing it into partial fraction form

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A: we have to find out

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A:

Q: All of them please

A: We are allowed to answer three subparts at a time. So, we are answering the first three subparts,…

Q: 3 Q 4. Differentiate Vx2 Vx2 2 +

A: