Let a and b be real numbers. What integral must appear in place of the question mark "?" to make the following statement true? 10 dx +] x* +9 10 - dx = ? +] x+9 10 d. x² +9

Q: 6. Find the area bounded by: a. The curve y3D4x-x and the lines y=0, x-1 and x=3. b. The…

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Q: 10. Determine whether the improper integral converges or diverges 3 dx (x – 1)3 -

A: Given query is to integral converges or diverges.

Q: 6. Find the area bounded by: a. The curve y=4x-x and the lines y=0, x-1 and x=3. b. The curve…

A: Explanation of the answer is as follows

Q: gies each of base (the miapoint rule), estimate the area 4 f(x) = between x= and x = 1

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Q: 1. (20) Solve IVP of the harmonic oscillator: dy dy dt2 + 4- + 6y = e-2", y (0) = 0, y' (0) = 1. dt

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Q: Evaluate the double integral to the given region R. [|xy e dA; R={(x.y)l 9<xs 18, 0 sys 1} R

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Q: Consider the graph of y = S(2) shown below in blue. Estimate the value of the derivative at z 1.…

A: The answer is in step 2.

Q: Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity…

A: v0 = Velocity at center of pipe cmsv0 = 195.9 cmsL = length of the pipe cmL =…

Q: Rotate @ x – axis : DISC method A = R(B) = xC Submit A, B, C (small letters or numbers) X=3 Y=9

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Q: Use the transformation u =x + 2y, v=y-x to evaluate the given integral by first writing it as an…

A: The answer is in below steps.

Q: 12 1 dx using a left-hand sum withn = 3. x + 5 Estimate Round your answer to three decimal places.

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Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v…

A: The given answers are in the fraction form. But you have entered them incorrectly.  Please make sure…

Q: What is the solution to this differential equation y"(x) - 4y'(x) + 4y(x) = 0? %3D I. y = e2x II. y…

A: Find your answer below

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: Trigonometric Groups 3. S sin³x cos5xdx 4. S Vtan x sec*x dx

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Q: compelete solutions and figures. A circle with an equation x2+y2+kx+4y=12 to point (-2,5) has a…

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to be fenced in using two kinds of fencing.Two opposite sides will use…

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

A: answer is in next step

Q: SD(x -2+) dx = x(x' – 4x + 4) + C 2 +) dx = x(x* - 4x + 4) + C 7. S(cot?x + 2)dx =x - D +C 8. S…

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Q: Point A is located on the graph of the relation y^2 = 8x: a: Find the minimum distance between…

A: Here, given that the point A is located on the graph y2=8x

Q: Cohsider the set A illustrated on the number line below: -5 -4 -3 -2 -1 1 2 3 4 Which one of the…

A: We can solve the given problem as follows:

Q: 4. If all three sides are given, the first step in order to solve the triangle is: A) apply the…

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Q: Find a power series representation för the function. (Give your power series representation centered…

A: The given function is f(x)=ln(11-x).

Q: 2. Suppose that f(x) is a function with f(20) = 345 and f'(20)=6. Estimate f(22). [4 marks]

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Q: [1] What is the c value of a parabola with a Vertex of (4,2) and a Focus of (4,4)?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Consider the function y = (-3x - 5)2. Using the values x = -8 and Ax = -0.5, calculate A y - dy.…

A: Solving

Q: Suppose that , g(t) dt = v2. Find g(t) dt b. du а. -3 g(r) dr [-g(x)] dx d. с. -3 V2

A: Note:as student asked only part A,B so I solved as per requirement.

Q: Find the area of the shaded region. f(x) = 10x – 3x - x°, g(x) = 0

A: We have to find the area of the shaded region. f(x) = 10x-3x2-x3,  g(x) = 0   The graph is

Q: Find the indicated limit. 4/x x/ lim

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Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

A: The given sum,   1+8+27+64+125+216

Q: Find the equation of the tangent line to f(x) =3cscx+xsinx at X= 2 A y=x- 3 y=x+3+ 2 y=x+3 y=x+3-

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Q: Find the Maclaurin series for f(x) = cos (x'). %3D (Use symbolic notation and fractions where…

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Q: Suppose that the graph below is the graph of f'(x), the derivative of f(x). Find the open intervals…

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Q: (a) Suppose f(x) = cos (15x) b* and f'(0) = 2. Find b. 2 The value of b is e (b) Suppose f(x) = sin…

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Q: 1. Let f be an odd function and g be an even function with f(2) da = 2 3 f(x) dæ = 7 3 9(x) dx = -3…

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Q: (3 csc² t - 5 sec t tan t) dt

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Q: Use l'Hôpital's Rule to find the limit. x11X lim x→0 11* – 1

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Q: Suppose that the graph below is the graph of f'(x), the derivative of f(x). Find the open intervals…

A: The derivative of f'(x) is equal to zero. i.e f''(x) = 0 when the graph of f'(x) has a tangent…

Q: A cylindrical kite frame is to be constructed from a 4 metre length of bendable  steel rod. The…

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Q: At what point does the terminal side of an angle, with a measure of 35TT 6. radians, intersect the…

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Q: 67 |xsin 3xsin 2xdx

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Q: 1. Find the discontinuity point/s of f(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. a…

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Q: How many terms of the Maclaurin series of f(x) = ln (1+x) are needed to compute In(1.5) to within an…

A: Given f(x)=ln(1+x) We want to calculate number of terms of maclaurian series required to calculate…

Q: cos X dx sin x

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

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: Find the most general antiderivative or indefinite integral. dt

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Q: S(-0) dx = - 4 In|x| + C 8. 2. )dx = 6 Vx + C

A: ∫x4-dx=x28-4ln(x)+CApply the Sum Rule:…

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

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Q: Cos x sin (sinx) dx

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