Find the mass and center of gravity of the lamina bounded by the I-axis, the line z = 49, and the curve y = /¤ with density 8=8. NOTE: Enter the ezoct answers. M | (2, y) = | (?, ?)

Q: Question 10

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A: I have stated the used formula in the solution.

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A: Follow the procedure given below.

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A: Find the area of parallelogram

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Q: Given f″(x)=−36sin(6x)f″(x)=−36sin⁡(6x) and f′(0)=−6f′(0)=−6 and f(0)=2f(0)=2. Find f(π/5)

A: f''(x)=-36 sin(6x)f'(x)=∫-36 sin(6x) dxf'(x)=-36 -cos(6x)6+Cf'(x)=6cos(6x)+Cf'(0)=-6-6=6 cos(0)…

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A: Let's find.

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); u =

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Q: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

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Q: 2. [sin? x cos' x dx 4. [ cos’ 0 d0

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A: I have provided this answer with full description in step-2.

Q: Find Duf at P. 2 + 2. 5,3 4 f(x, y, z) = 6x³y°z*; P(1, – 2, 1); u = Duf i

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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + 2²; P(0,-4, –5);…

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Q: Question 10 | sec'x tan?x dx, can be evaluated by using trigonometric transformation. A) True (B)…

A: True.

Q: (a) A spring exerts a force of 12.8N when stretched 1.6m beyond its natural length. Assuming that…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t+00 4t2 + 5' 8t (?, ?)

A: Find the limit

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A: Given curve y=x3-2    ;   (2,6)

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Q: 2. Let A = (1,0, 2) and B = (6, -2, 3). Solve for proja B. %3D

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Q: 2s + 3 Find the Inverse Laplace Transform of (s+4)3 e" (2cos21+ sin2r) 2 A

A: I am attaching image so that you understand each and every step.

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Q: 1. Find the Laplace transform of eat and 1 for t is greater than or equal to zero.

A: follow the procedure given below.

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A: I have provided this answer with full description in step-2.

Q: Vector Calculus Given, A = a zi – 23² ²j+ æy} sÎn¢ divAat the point (1, –1, 1) -

A: Here, the given vector field is: A=x2zi-2y3z2j+xy2zk

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A: Closest distance form a point to a line is normal distance from point to line.

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