(3 csc² t - 5 sec t tan t) dt

Q: na "rx) ax = 7, evaluate Given dx - 0 dx. dx dx. (c) dx. (d) 3(x) dx.

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A: Given problem:- Find the second derivative for f(x) = (2x2  - 3)8

Q: For items 1 to 5, consider this function: 3. y = V5x² – 4 y%3D

A: Given query is to find the derivative of the expression

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Q: For the function f(x) = 4x* – 3x - 4x2 +9, find f'"(x). Then find f"(0) and f"(9). ... f"(x) =

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Q: Jcos xdx Scos" xdx 10 12 fcos? xdx

A: 8.)∫-ππcos2x dx ( since, f(x) =cos2x , If f(x) is an even function i.e:  f(-a) = f(a)then ∫-aaf(x)…

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Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

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Q: sa = -1, a = 0, and a = 2,c

A: answer is in next step

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Q: 2) The rate of change of an electrical current, i, in a microprocessor circuit is given by di 0.4t –…

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Q: Given sinα=0.378sinα=0.378 and sinβ=0.349sinβ=0.349 with both angles' terminal rays in Quadrant-I,…

A: Given problem:- Given sin(α)=0.378 and sin(β)=0.349 with both angles' terminal rays in Quadrant-I,…

Q: 67 |xsin 3xsin 2xdx

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Fill in the table and then sketch the vector field. z| y F(z, y) = (, %3D 20 0 2 -2 -2 2 -2 -2| -2 2…

A: Here, to fill the table and then plot the vector filed.

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Q: buff'g'sinay olxly

A: To solve the following integral

Q: 2. Suppose that a certain population obeys the logistic equation * - (1 -) dy = ry dt k k find the…

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Q: у" — бу' — 7у%3D11 sin 4x -

A: We have to mention the general form of the particular solution

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Q: 1. Find the area between y=x and y=x' from x=-1 to x%-1.

A: Since mutliple questions are asked, I am answering the first question.

Q: jasi 68 xsin 5xcos 3xdx

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Q: A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions…

A: A)2 litres of 50% solution:2(0.5)+x(0.1)+(6-x)0.2=8(0.25)1+0.1x-0.2x+1.2=20.2=0.1xx=2 litres of 10%…

Q: a A b Note: Triangle may not be drawn to scale. Suppose c = 12 and A = 20 degrees. %3D Find: a = b =…

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Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

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Q: 7 |sin? xdx 2 |sin? xdx 11 Ssin? xdx

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: To find the volume of the given tetrahedron with given verticesP =-2, 3, 0Q =(2, 1, -3)R = (1, 0,…

Q: Find the area under the given curve over the indicated interval. Q 14- y= 2x [1, 6] ... The area…

A: Given: y=2x, (1,6)

Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

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Q: dx e 2x+1

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Q: O f(x) is both injective and surjective.

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Q: 16 14 12 10 8. 6. 4. 6. A942

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Q: Let p(x) = vx represent the radial density of a disk. Calculate the mass of the disk of radius 4…

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Q: Solve the differential equation 4y=e' by using the method of variation of parameters.

A: This is a problem related to differential equation. Solution consist of two parts, complementary…

Q: 1) Test whether the following differential equations are exact and solve those that are. 5.30. (y…

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Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

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Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…

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Q: 9. Calculate y' for y +2xy = 3x-2y %3D

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Q: -13x - 6 9)

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Q: 5. Compute the arc length exactly y =x² -In x , 1 sx< 2

A: Given : y=14x2-12lnx , 1≤x≤2   To Find: Arc length

Q: Find the antiderivative F of the function f(x)= x^2 + 2x + 2 such that F(-1) = -1.  F(x) =

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