Show that 7(u, v)= (²-²,2ue) maps the triangle-((u, v):05≤SS 3) to the domain D bounded by z = 0, y = 0, and y²-324 36z. Use T to evaluate ₂√² + y dedy Answer:

Q: $. flx) =3=x*, glx)=x² -4 d) Domain A domain H) Domain

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Q: 5. Given f(x) = x² +4x +2 and g(x) = 2x – 3, find all of the following:

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Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: Find 4rye®y? dA, where R [0, 1] × [0, 2]. R

A: The objective is to find the double integration where  R=[0,1]×[0,2]

Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: Let fx) = x + 2x and g(x) = x- 5. a) Find (f ° g)(x). f(x+h) – f(x) b) Find the difference quotient…

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Q: A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11. y= B) Find ALL x…

A: To find  A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11.   y=   B)…

Q: show that the function 3x²y-y³ ty is he harmonic and then find it's Harmonic conjugate v (x, y)

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Q: xy Let z . Then: 4x2 – 5y? | az dz ду

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Q: Find the distance from the point (-6, −6, 2) to the line Ỉ =(−1,−1,7)+t(4,−8,2),−oo <t<0. <∞.

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