H.W: Evaluate the integral 30 J S (x²y- 0-2 1. (x²y - 2xy)dydx

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Q: 3. f(2x + 3)² dx

A: I have stated the used formulas in the solution

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A: Find an equation of the tangent line to the curve y= 3cos-1(x/2) at the point (1,4π) .

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Q: 5. Which of the following represents the volume of the solid formed by revolving the region bounded…

A: Given that y=x3,y=1and x=3, about the line x=3.Using washer /disk mathodr=3-y13r=Radius of…

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Q: c) [. The intersection of the sphere B and the xz-plane is (x - 2)² + (z + 1)² 2)² + (z + 1)² = 9.…

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Q: 1. 3 0 S 0-2 (x²y - 2xy)dydx

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Q: Use the Root Test to determine whether the series convergent or divergent. Identify an 00 n = 1 מס →…

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Q: 13. Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) =…

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Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: ST ry² ds where C' is the right half of the circle x² + y² = 9 Evaluate

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Q: Use the formula for the binomial series: (1 + x) = to obtain the Maclaurin series for 1 (1 + x)5° 1…

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Q: III. Use the Laplace transform to solve the initial value problems. (a) y" + 3y + 2y = 0; y(0) = 1,…

A: As per bartleby guidelines we only give first three question answers.  Please repost for other…

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A: See this solution in below

Q: Find the antiderivativef e* sinxdx A.je*(sinx – cosx) + c C. e*(sinx — cosx) + c Find the…

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Q: Find the derivative of y = ln(x + √√√x² + 1

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Q: Your answer is partially correct. For the given p-series, identify p and determine whether the…

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Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: Volume of the function g(x, y)=√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x≥ 0. 2- -2-…

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Q: 21) In a triangle ABC, B = 65°, C = 45° and a = 10. The measure of angle A is : a) O 90° b) O 80° c)…

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

Q: 3- If A² [45] [95] 091 (1 find A where A is UPF triangula matrix

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Q: Consider a continuous function f(x). The function has critical points at x = 0, x = 2, and x = 3.…

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Q: Solve the initial value problem y" + 10y' + 25y = 0, y(-1) = 5, y'(-1) = 3. y(t) =

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Q: B)Solve the differential equation =(3+x¹)+x²e³x.

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Q: (x²-1)³ dx √x

A: Given, ∫x2-13xdx

Q: Find the indefinite integral. [16 Step 1 The integral The integral 16x arcsin(x) dx S 16x arcsin(x)…

A: Here we have to solve the given indefinite integral.

Q: The area enclosed by the curve y² = x(1-x) is given by .

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Q: Find the curl of the vector field F curl F = (2y cos(x), 5x sin(y))

A: F = (2ycosx , 5xsiny) find curl F =?   curl F  = dF2/dx - dF1/dy here  F1 = 2ycosx  F2 = 5xsiny now…

Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: • SSS ²³² x² + y² = 2, and the xy plane. Evaluate e² dV where E is enclosed by the paraboloid z = 6…

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Q: the maximum and minimum values of the function f(x) = 6 sin(x) cos(x) + 10 on the interval [0, by…

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Q: 2. y(x-y²)dx + x(x++y²)dy = 0

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Q: Use identities to find values of the sine and cosine functions of the function for the angle…

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Q: Graph of the function. Show all 7 steps.  g(x)=x2-2x-15

A: Must have idea about the seven steps to determine the graph of any rational function.

Q: Use the half angle identity for sin² x. sin²(x) Hence, sin² x = ~ √₁² (₁²- V = π (1-sin²(x) 2 sin 2x…

A: Solution of given question is written in below steps.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² -…

A: In this question we have to find the absolute maximum and absolute minimum.

Q: Let g(x, y, z) = xy + yz + zx. Find a nonzero vector perpendicular to the level surface g(x, y, z) =…

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Q: Solve the given IVP using Laplace transforms. x" - 2x + x = 2tet x(0) = 0, x'(0) = 0

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Q: Step 2 Apply the rule of integration by parts. J u dv = uv - Submit J Let dv = ew dw and integrate…

A: topic- indefinite integral

Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

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Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y

A: To evaluate the given limit .

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A: Given that      g(x) = x2 - 2x ,    [0,9]

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A: Given :  3 credit college course for 15 weeks. Which requires 10 hours per week