Find the integration by using substitution method. 2 dx x² - 6x + 10

Q: Find the area enclosed by the curves y= ex = and y = x2 -1, between x = 1 and x = - 1

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Q: :A. Find the determonant of the matrix A 1 2 1 -2 -1 4 -1 -2 2 1 3 2 -2 1 2 -3

A: The given matrix is  A=1 2 1 -2    -1 -2 -1 4     2 1 3 2   -2 1 2 -3.

Q: Answer the given problems in two ways: (1) by using Chain Rule (2) by finding f(g(x)), taking the…

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Q: Find g(0), g(-4), g(6), and g 19 (27) √16-x² 2 Find g(0). Select the correct choice below and, if…

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Q: Let R be the region bounded by the parabola y = 4x² and the line y = x + 2. (a) Find the area of the…

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Q: x²-16 8. lim x-4x²+9x+20

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Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

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Q: Iff (x) = ²x, what is the average value of f(x) between [0, 3]? O 201.714 O 201.214 O 67.238 O…

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Q: 2. ) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the following:…

A: To find the tangent and normal.

Q: Given the piecewise function below, find the value of which makes the function continuous. -I f(x):…

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Q: 2 - 772 + 317 - + ه ها- لا + 772 - 222 . 2x 3

A: Concept: Without upper and bottom constraints, indefinite integrals are defined. It's stated like…

Q: Page < 4. The brightness of stars is expressed in terms of magnitudes on a numerical scale that…

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Q: Which of the following graphs represents the function g(x) = x²(x + 1)(x − 2)? 2 4 2 * 0 4 0 O 4 2 P…

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Q: 16 + 3 the following matrices festSIAM #71 47 purन

A: Topic = Matrix

Q: Which of the following describes the graph of h(x) = -2(x+3)+4? 4 h(x) 2 -6 -5 4 -3 -2 2 3 4 5 10 6…

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Q: Figure #2 a: I in b: 2.5in C:2.5in Figure #3

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y = sin tu(t - 2π), y(0) =…

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Q: Direction: Understand the situation and answer the questions that follows. Show your detailed…

A: Probability.

Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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Q: Answer the following. Solve for two positive numbers whose product is 121 and whose sum is a…

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Q: Determine whether the series converges, and if so find its sum. Enter the exact`answer as an…

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Q: Let g(x) = 2 f(u) + 3 where u = x² + 2x. What is the derivative of g with respect to x? ○ 2. f' (u)…

A: Given query is to find the derivative of the function.

Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…

A: The base of a 50-foot ladder is being pulled from a wall at a rate of 10 feet per second. To…

Q: Find the streamlines of the flow associated with the given complex function. f(z) 2) == /2 (x(e),…

A: Here is the solution of the given problem:  Complex Number and it's conjugate:

Q: 9. Find the scalar equation of the plane that contains these points: A (1, 13, 2), B(-2, -6, 5) and…

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Q: Compute Au, where A Au = = 1 (56) 4 and u= (9).

A: The simple matrix product..

Q: Which of the following functions has a horizontal asymptote at y = 2?

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Q: 16 You know that f(x) = g(x) + 6 and that * S™ ƒ f(t) dt = 27. You also know that f(4) = 4 and f(16)…

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Q: If an object is moving along a horizontal line, such that it's velocity, v(t) = = 3¹, what is the…

A: Given :Velocity , V(t)=3t

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. - 1)k+19 k!…

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Q: Solve the given differential equation by separation of variables. dy e5x + 4y dx =

A: Given :dydx=e5x+4y

Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

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Q: se the formula FV = PMT(1+i)-1 i

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Q: 3 the following first order ordinary differential equatio d. dy = (x²e³x + 6y)dx

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Q: Match each equation with the graph of f, g, h, or k in the figure. (A) y = 6* (B) y = (0.6)* (C) y =…

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

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Q: 2. y' y' = y+x²y , y(0) = −2

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Q: dy a) Show that the equation x² - 13y² 12xy is homogeneous. dx The equation is homogeneous because…

A: We have to solve a part a,b and c.

Q: Let f(x) = tan¯¹(cos(2x)) f(x) =

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

Q: Given the piecewise function below, find the value of k which makes the function continuous. f(x) =…

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Q: 1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse…

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Q: 2. A spring has a natural length of 2 ft, and a force of 15 lb is required to hold it compressed at…

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Q: Given the graph of a radical function, which statement is correct? 4 3 2 1 4 -3 -2 -10 6 7 -2 -4 OR:…

A: Use graph

Q: -7-6-5-4-3-2- 6 5 4 3 -2 -5. -6. H 1 2 3 4 5 6 7

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Q: (1+x)n

A: We can solve this as follows:

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

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Q: Consider the linear system of equations a) For which values of a does the linear system have no…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

A: topic - exponential function

Q: tan(2x) x+02sin²(x) Evaluate: lim O a. ∞ O b. -∞ O c.0 O d.-1

A: We have to evaluate limx→0- tan2x2sin2x         Here two sided limit does not exist.…