1 e x² + y² + 2² dv₁ v ¡dV, where E = {(x, y, z) | 1 ≤ x² + y² + z² ≤ 4}. 6. Evaluate

Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

A:

Q: Evaluate ]]] (42³ + 3y² + 2x)dV B = {(x, y, z) | 0 ≤ x ≤ 3,0 ≤ y ≤ 4,0 ≤ z ≤ 2}.

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Q: 7. Evaluate (5 – x)dA where R {(x, y) : 0 < x < 5,0 < y < 3}

A: Double integral

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 8)i + tj, 0 ≤t≤1

A: A line integral is used to find the integral of a function over the vector function. Line integral…

Q: I x In y dA, R = [0, 3] × [1, e] 43.

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Q: Find J Smi x²dA where R = {(x, y) | 4x² + 16y² ≤ 64} R

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Q: 2 Evaluate [I, (x² +y² +z? dv, 2 В

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Q: 耳 ixn=wyr Show that d P

A: Given a function is two variables.

Q: Let w = f(x, y) with f E C² and x =h – kh, y = 4k. Which of the following statements are true?…

A: To find  Which of the given statement is true.

Q: Which of the following expressions are not valid? Why? (a) [ f* 1(x, y) dy dz [T (c) [[1(x, y) dy de…

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Q: 1 x+R+ 2)²(x+ x+ R+ 4) dx (Hint: Let u= x+R+2 x+R+4

A: ∫1x+R+22x+R+42dx

Q: Evaluate [(x (x + y)ds, C: x = 3t, y = -3t+2, for -2 ≤ t ≤0. Check Answer

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Q: Which statement is justified by the transitive property of equality? F. (x + y) + z =x+(p +2) G. If…

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Q: Evaluate 16120 (x + y)ds, C: x = 2t, y=-2t + 2, for 0 ≤ t ≤ 2.

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Q: Ax → Ar y=f(x). 30 -3 -2 3 6.

A: We have to determine that at which value of x given function is not differentiable

Q: 3. Let R= {(x, y) : x² + y² 0, y > 0}. Evaluate // Vz? + y² dA x2 +y? dA R

A: using polar coordinates x=rcos(θ)y=rsin(θ)x2+y2=r2,dA=r drdθ