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Q: B: Solve the following integrations: a- fx³e-2x dx b-fdx +10 c-f 3sec³x. tanx dx

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Q: x' sinx dx

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Q: b) F (1) √x 1 -Jetr 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find 2 Given that F(x) =…

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Q: A 30 6 12 ♡ E C D F Find the area of Square ABCD

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Q: Using the Trapezoidal rule, the approximated value for the integral: g(x) dx, is equal to------ g(1)…

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Q: Evaluate the following antiderivatives. 2dx x ln x S

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Q: 5. The sequence of partial sums of the equation Σ (a)3/2 (b) 3/4 n=1 3n-1 (c) 1/3 (d) -1/3

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Q: Refer to the functions r and p. Find the function (p-r) (x) and write the domain in interval…

A: As per the guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: tank has pure water flowing into it at 10 liters/min. The contents of the k are kept thoroughly…

A: Please refer to the image below

Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: Find the general solution of the differential equation y" — y' - 12y -32t + 24t². NOTE: Use t as the…

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Q: What is the polar equation of a circle of radius a centered at the origin? Use this equation to…

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Q: Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2.

A: Area enclosed by curve r=f(θ), α≤θ≤β is given by  Area = 12∫αβr2dθ

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A: There are two planes on the XY axis.We are at the origin.  Plane X: The first plane is due west of…

Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(1, 1) =

A: The given function is;  f(x,y)=ln(x+y-1).

Q: By using partial method solve [ 2x² cos x dx

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Q: Complete the table for the equation y=x-2, and graph the equation. X -2 - 1 0 1 2 Use the graphing…

A: line

Q: find the explicit solution of y' +xy = x√ y

A: This is a basic differential equation problem

Q: Suppose you are taking a multiple-choice test with c choices for each question. In answering a…

A: We have to find the conditional probability.

Q: 13. Find the distance from the point (2, 2, 3) to the plane 2x+y + 2z = 4.

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Q: Find the orthogonal projection of b = [4 2 -4] onto the column space of the matrix A. (Enter each…

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Q: Find the largest product the positive numbers x, y, and z can have if x² + y + z = 4. The product is…

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Q: Consider the following equations. 124 O Sketch the region bounded by the graphs of the equations. y…

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Q: Solve the given differential equation. 16x2y" + 16xy' - y = 0 C₁ cos(In(x)). + C₂sin (In(x)) 4 4…

A: here we have to solve differential equation.

Q: 2. Find x (round your answer to 2 decimal places) 80° 70° 7 X

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Q: The length of an astroid The graph of the equation x2/3 + y2/3= 1 is one of a family of curves…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

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Q: If u = 4j – 2k and v = 2ỉ − j + 7k, find ú.v. Select one: O √110 O-18 O √18 O 18

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Q: 11) S₁0 x ³ lnx dx

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Q: Let [ f(x) dx = 5, -6 Find and -3 [ f(x) dx = -4.5 -4.5 -3 6 (5 f(x) - 6) dx = f(x) dx = 6, f(x) dx…

A: The given integrals are;  f(x) , limit from -6 to -1.5. f(x), limit from -6 to -4.5. f(x), limit…

Q: 2) A: By using partial method solve [2x² cos x dx

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Q: Given the functions: g(x) = |x-2| Evaluate the function (h-g) (5) for the given value of x. Write…

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Q: II. Trigonometric Substitution. Evaluate the following integrals using trigonometric substitution.…

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Q: π/2 1-z [²6² x cos ydzdydx = = [Show your solution.]

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Q: 16. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

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Q: a-limx. 1x-4 Tollowing b- limx-o (sin (sin x) c- limx→→z 5x²+x³ 10x +2x5,

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Q: 73. an = (2n + 2)! (2n-1)!

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y' + y = sin(x) + 4…

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Q: Find the area between the curve f(x) = x2 +11 and the x-axis from x = 3 to x = 7. The area is square…

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Q: A region bounded by f(y) = 2y + 3, y = 1, y = 3, and x = 1 is shown. What is the volume of the solid…

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Q: Consider the following equations. 1 x² O 6 Sketch the region bounded by the graphs of the equations.…

A: topic - area bounded by curves

Q: Find the z - transform of IN k

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Q: off f(x) dx, where Evaluate [ f(x) f(x) dx = f(x) = 18x², -T≤x≤0 19 sin(x), 0≤x≤T.

A: We have to solve given Questions.

Q: (2) Find an expression for the area under the graph of f as a limit. Do NOT evaluate the limit. g(x)…

A: given :   g(x)=x+lnx

Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: To find how far above the ground the kite is flying.

Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

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Q: Find the minimum and maximum values of z= 9x+4​y, if​ possible, for the following set of…

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Q: What is the area of the region bounded above by y = -3 MX. 54-3-2-1 1 2 3 4 45 O ভাল লাল নাল O O O…

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Q: Show if the sequence converges or diverges using  L'Hôpital's rule…

A: A sequence is said to be converge if its limit  exists, otherwise diverges.L'Hospital rule:- If…

Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fra sition. 1.…

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