2. Evaluate fff 12ydV where the limits of integration is the region below 6x + 4y + 3z = 12 in the first octant.

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A: Follow the procedure given below.

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Q: 13 5 3 1 5 Let F= 1 7 -4 and G= -1 2 3 12 3 2 2 5 Find 5F- 4G. 5F - 4G = 00 C

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A: If x is the modified divisor used for Jefferson’s method, then x is always greater than…

Q: 2. Find are Ətəx

A: The given function is v=(3t-x)e-2t ................................ (1)

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A: Solving

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A: We will show this using integration ∫1∞1xdx = ln x1∞ = limx→∞ln x = ∞

Q: dx 6x + x² V

A: To integrate by using the trigonometric substitution.

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A: We have to find the integral.

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A: Given,            f=1x2+y2+z2To find : ∇f

Q: 2. Given the first 5 terms below, write down the general term of the following sequences: (a) 80,…

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A: Given query is to find the value of the integral.

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A: Given: drdt= 5 m/min To find: dAdt when diameter = 140m Area of a circle with radius r is defined as…

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Q: Solve (5 + x²) Y 1 dy dx = x, and verify your solution. *+C Preview

A: Derivative

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Q: and the limit. OTE: Enter the answer using round brackets. m t² +9 1 +0o 8t2 +9' 4t = (?, ?)

A: Given query is to find the limit of the expression.

Q: 3/3 10. Evaluate • 73 (x² +9)3/2 dx

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Q: PS. Evaluate fff(3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: Solving

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A: Note: Asper company guidelines, we are supposed to answer the first question only. Kindly ask the…

Q: The function f(x) = − 6x³ – 29.07x² + 433.242x – 5. is increasing on the open interval ( It is…

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Q: Find the length of the curve 3y = 2(x² + 1)2 from x = 0 to x = 3.

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Q: Find the first partial derivatives of  1) z = x^3 - xy^2 + 3y^2

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A: We have to find the work.

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Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is

A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.

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Q: مرده X dx (3x²-1)³

A: This question is based on definite integral.

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Q: Using polar coordinates, evaluate the integral ff.sin( sin(x² + y²)dA where R is the region 16 ≤ x²…

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Q: Evaluate Ic (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) X

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Q: Find the arc length L of the graph of r(t). L r(t) = 12 cos(t)i + 12 sin(t)j + tk, 0≤t≤ 2m

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Q: Compute the following determinant. -5 2 우리 1 6 0 X

A: We have to find the determinants

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Q: ∫ sin4x dx

A: