Use the Monotone Convergence Theorem to show that the sequence n! +∞o (1 · 3 · 5 ··· (2n − 1)) n = 1 converges.

Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 2t x + 3y + z = 7 Find the normal…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: 3. Compare the average rate of change on the interval 0 ≤ x ≤ 4 for the two functions whose graphs…

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Q: 3. Determine the value of a so that the 2 average rate of change on the function h(x) = x² + 3x + 2…

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Q: Evaluate the iterated integral below. TU /4 1 *** s y cos (x) dy dx 0 0

A: We need to find out the double integration.

Q: Je [es cos (21)dt

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Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 7…

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Q: Find the area of the parallelogram that has u = 2i - 3j + 2k and = 2j+ k as adjacent sides. NOTE:…

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Q: Jse method of variation of parameters. y"+2y-8y=2e-2x - e-x.

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Q: 1. Let f(x, y) = y³ + x³ - 2y² - 3x + 30y. (a) Find all the critical points of f. (b) Determine…

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Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a

Q: Question 13: Find the derivative of: y = 7e8x ln(3-9x6)

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Q: The area of the sector of a circle with radius 16 feet formed by a central angle of 95 is feet.…

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Q: 1. Solve for y3 using the method of successive approximation. dy dx = x+y; y(1) = 1

A: Given Data,y1 = 1dydx = x + y

Q: 5 0 dx x + 169

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Q: 3. Let S be the surface defined by the vector function R(u, v) = (2e" sinv, 2e" cosv, u²+u), Find an…

A: This is a problem related to vector calculus. Please follow the general procedure given.

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n X Find the interval, I,…

A: We have to find the radious of convergence and interval of convergence of the given series.

Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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Q: Use partial fractions to evaluate x² + 4x + 1 Lix (x − 1)(x + 1)(x + 3) dx

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Q: r+∞ x e dx x ln x

A: We have to evaluate ∫e+∞dxx lnx                                            I = ∫e+∞dxx lnx…

Q: Using an appropriate substitution, the integral [2e²+tane sec²0 de is equal to none of the other…

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Q: Find the derivative of y = (10x) x² + ₂

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Q: Find a potential function f for the field F. F = (2y+z)i + (2x + 5z)j + (x + 5y)k A general…

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Q: Using an appropriate substitution, the integral [2 e²+tane sec²0 de is equal to O none of the other…

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Q: Graph the parabolar = 3/(2 + 2 sin Select the correct answer. O I

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Q: The angle between 0 and 360° that is coterminal with - 119° is

A: To find out the coterminal angle of -119 degrees.

Q: Assume that in the absence of immigration and emigration, the growth of a country's population P(t)…

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Q: Evaluate 2 Lg(t -3 g(t) dt.

A: topic- definite integral

Q: Evaluate the limit: lim h→0 (−5+h)² - 25 h

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

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Q: If cos(0) = sin(0) = - 1 and is in quadrant III, find the exact value of sin(0). 9

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is  the x-coordinate of…

Q: Find the general solution of the given higher-order differential equation. y"" - 9y" + 15y' + 25y =…

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Q: 3. Using multiple linear regression, estimate the values of a, b and c in the given regression…

A: given that        X            1            2              3            4          Y…

Q: Using an appropriate substitution, the integral Jez-tan is equal to 2-tan sec²0 de O none of the…

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Q: Verify the identity algebraically. Use a graphing utility to check your result graphically.…

A: Here, to simplify the expression: 7cos3(t)csc(t)

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) 15…

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Q: The integraing factor of (4xy+3y²-x)dx + x(x+2y)dy= A B Ⓒ 2x-1 с 2x-2 D

A: To find the I.F of differential equation

Q: Find the differential dy of the given function. y = In√√/9-x² dy =

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Q: Find the solution of the given initial value problem. 3y""+66y'-1044y = 0; y(0) 11, y'(0) = 57,…

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Q: A truck with 26-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

A: We know that 63360 inches = 1 mile.60 min = 1 hourGiven45 mi/h = 45/60 miles/min = 0.75…

Q: Consider the following equations. f(x) = x5 + 3 g(x) = x + 3

A: Given equations f(x)=x5+3g(x)=x+3First we need to find the intersection points…

Q: 2. Suppose that the position of a particle is r(t) = (cos(nt), ² sin(nt), t), 0≤t≤ 2n. A. Calculate…

A: Understanding of derivative while finding velocity and acceleration from position vector is…

Q: Using tabular int In 2

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Q: What is the circumference of the circle with a diameter of 4 cm?

A: circle is given  diameter of circle = 4 cm  we have to find circumference of circle  formula of…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Understanding of critical point and inflection point is required in order to understand these kind…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: A rectangular page is to contain 89 square inches of print. The margins on each side are 1 inch.…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: This question is related to plane and lines, we will solve it using given information.