Evaluate √ ] [ 2 2xz dV where E E = {(x, y, z) | 1 ≤ x ≤ 3, x ≤ y ≤ 2x, 0 < z < x + 3y Round your answer to four decimal places.

Q: If the substitution u = √x + 1 is made, the integral 3 A S u² u² - 1 du B du 3 2u²2 u² - 1 √ √x+1 dx…

A: We solve the given problem by using the substitution method.

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: 9. Use the comparison theorem to show that So L'√T- 10. Find √1 + x² dx ≤ Also show that ²√1 + x dx…

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A: The question is asking to verify the statement that for all real numbers x and y, the product xy is…

Q: Evaluate f (tcos² ti+1/tj+sec² tk) dt

A: To solve the following

Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

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Q: If Sc F · dr = Sc(x + 4y?) dæ + (x²y) dy, what is F?

A: Given ∫F→dr→=∫x+4y2dx+x2ydy

Q: Value: 11 dy If y=sec (20), find- d0 Enter your answer as an integer or a reducec

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A: The question is asking if the product of two real numbers x and y, represented as 'xy', is equal to…

Q: 6. Prove that |xy| = |x|ly| for all real numbers x, y.

A: The given problem is to prove the following statement. Given statement is |xy|=|x||y| for all real…

Q: Find the zeros of Q(x) = 5x - x² + 9 using the quadratic formula. Number of zeros: one

A: Given Quadratic formula is Q(x)=-x2+5x+9 Compare to ax2+bx+c=0 Here a=-1, b=5 and c=9.