Determine the integral by making the appropriate substitution. √ 2x (x² +17) 3³ dx

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Q: Find a power series representation for the function. ( ) = n( 11 + y )

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Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² + 3xy +…

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Q: 9. Linda's Bakery sells three kinds of cookies: chocolate chip cookies at 15 cents each, oatmeal…

A: We use the concept of linear equations to solve the given problem.

Q: 5. Consider the function f(x)=x+2x-1, whose only zeros are x = -2.1 and x 0.7. a. Find the critical…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 1 ff zdxdydz stealevi

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Q: Find the radius of convergence and interval of convergence of the series. Σn!(3x−1)″ n=1

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Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

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Q: 8. p-series below: (a) n=1 Use this fact to find the sum of each series below. (You may express your…

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

Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A: The objective of this question is to find the critical numbers and the open intervals on which the…

Q: Use chain rule to find the derivative of the following functions: a. y = sin(5x) b. y = cos(x²) c. y…

A: We have to find the derivative of the following functions by using the chain rule.Chain Rule: In…

Q: Given f is concave down and ƒ (4) = −2 and f1 (4) = 3. What is the estimate for = 4? Is it an…

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Q: 3 · [²³ F(x) Given 6 ³ fº f(x) f(x) dx = 9 and Exercise (a) 6 [° F(x) f(x) dx = -8, evaluate the…

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Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: Evaluate the following limits algebraically. 1. lim x--> - infinity   2x^2 / (x^3 + 5x)

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: 11. Use the graph of f to sketch the graph of f'.

A: The given graph of f

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A: We have to find the integration of

Q: Solve the following problem and show your complete solutions. 3. Find the area bounded by y = x³ ; y…

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Q: Find the area of the region between the curve and the x-axis. f(x)=e*-6 from 0 to In 6

A: Tofind the area of the region between the curve and the x-axis.

Q: Thank you but I believe you are missing the square in the question the question is (4x^2 +3)^2 dx

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Q: TU Find the speed for c(t) = (3 sin(5t), 8 cos(5t)) at time t = FR

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Q: 5. If A = (611). 0 then eª = e e (8 €) e

A: A=

Q: Use the table of values to find lower and upper estimates of 10 [to f(x) dx. Assume that f is a…

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Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

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Q: 17. Determine whether the sequence converges or diverges. Find the limit if converges: a = 2n+3 2n+1…

A: To determine whether the sequence converges or diverges.To find the limit if it converges.

Q: d. h(x) = x3 3 -2 - 2x² + 4x, 0≤ x < ∞0 e. f(x) = √25-x², -5 ≤x≤ 5 f. g(x) = 0≤x≤ 1 x-2 x²-1'

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Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: Solve the following problem and show your complete solutions. 3. Find the area bounded by y = x³; y…

A: To calculate the area bounded by the curvesy=x^3 and y=4x^2

Q: 5. Find two antiderivatives of f(x) = x0.8 - 3e²¹ + π cos(2x)

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Q: Convert the following equation to polar coordinates. x=2y² The polar form of x = 2v² is. (Type an…

A: Given,

Q: d. f(x) = 2 f(x)=√x e. f. f(t) = g. √√t ² f(u)= ut + u² + ¹ น

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Q: 2 The decibel level, D, of sound is given by the equation 10 (1).» where I is the intensity of the…

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x + 5)2 +8(y-2)² = 32 Find…

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Q: Given f(x) = -√√/16 - x is concave up on its domain, what is an estimate for f (4.9) using the local…

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Q: Consider the triangle below (not drawn to scale). ہے a= a Let b = 9, ZC = 40° and /A = 45°. Find the…

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Q: h. f(v) = sin v y cos x + xπ f(t) = et i. j. k. y = ln x 1. m. y = y = 5 cos x + 8 ln x + 3x³…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: X 5.8 6.0 -0.9 6.2 f1 (x) Selected values of the derivative of the function f are given in the table…

A: The given tablex5.86.06.26.4f'(x)-0.93.21.9-1.3

Q: 12T 4. Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 4 ff zdxdydz

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Q: Consider the following function. T 3 π f(x)=sinx, a ==, n=4, 0≤x≤: 6 a) Approximate f(x) by a Taylor…

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Q: 8. Megan went clothes shopping and bought 2 pairs of flare jeans, 2 camisoles, and 4 T-shirts for…

A: Let's use algebra to represent the prices of the clothing items. Let x be the price of a pair of…

Q: Find the domain of f(x). f(x)=√x² + 9x - 8

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Q: The point(s) is/are (Type an ordered pair. Use a comma to separate answers as neeeded.)

A: Given that the graph with tangent line parallel to y=3x+1 we have to find the point is/are?

Q: 4. Find the function given by the power series n f(x) = Σ + ²)", x+2 when -7 < x < 3. 5 n=1/

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Q: Find the cube roots of 125i. (Enter your answers as a comma separated list.) Sketch these roots in…

A: The given complex number is By De Morive's theorem The nth root of a complex number is

Q: Find the area of the region enclosed by the curves between their intersections. y=x² and y= 2x

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