ollowing when trigonometric substitution is used?

Q: inction y = x ln (2x) articular solution for the nonhomogeneous differential equation xy" + xy - y =…

A: Topic:- differential equations Note :- as per our guideline if more than one question uploaded than…

Q: Use the given graph of f'(x) to find the intervals on which f(x) is increasing, the intervals on…

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Q: For the given demand equation, differentiate implicitly to find dp/dx. ) 40p2 - 300p + 612 = x

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Q: Find the derivative. F'(x) if F(x)= (ex² -3) ² F'(x)=

A: ddxex7-32

Q: There are 11 identical circles drawn on a sheet of paper. How many ways are there to do each of the…

A: This is a permutation and combinations problem

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer…

A: Note: To find the vertical asymptotes of a rational function, set the denominator equal to zero and…

Q: Suppose the function y=h(x) is nonnegative and continuous on [x3], which implies that the area…

A: We want to find area bound by the astroid

Q: 2. Find the radius and interval of convergence for the series. (x - 2)" nn n=1

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Q: The gradient vector of the function f(x, y, z) = ln(yz) + x² is: Select one: (2x, /, // ) (2x, -, -…

A: gradf =∇f =i∂∂x+j∂∂y+k∂∂zf .

Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: Find the Jacobian of the transformation. x = 3v + 3w², y = 7w + 7u², z = 8u + 8v² a(x, y, z) = a(u,…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= X-2 9x-4…

A: topic- equation of tangent line to curve

Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Without using a calculator, for the following, find rectangular coordinates for the given point in…

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Q: Given the triangle not drawn to scale A = 12/ A 19 8 find the measure of angle A using the Law of…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (9x (9x - 8)…

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Q: x- /= ² + √²-11 de dx dx x-1 x² + x + 1 3

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Given the following graph of f(x), state --6-5-4-3-2-1 3- 2+ 3 4 a) the domain b) the range

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Q: A dietitian in a hospital is to arrange a special diet using three foods, L, M, and N. Each ounce of…

A: answer is in next step. please give a like !!

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q Ay 25- 20- 15- 10- 5A…

A: given,

Q: Given f(x)=√x and g(x)=x²-1, evaluate each expression. (a) f(g(1)) (b) g((1)) (c) g((o))

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Q: 1) 2 a) Let f(x)=√x +4. Use the definition of the derivative to find f'(x). Find f'(5) by two…

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Q: The

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Q: A rectangular page is to contain 76 square inches of print. The margins on each side are 1 inch.…

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Q: 1- On donne: a- Résoudre l'équation: f(x) = 0 b- Trouver la dérivée : f'(x) c- Calculer: f(In 2) 1-…

A: Given data fx=e2x-3ex where,x∈R We need to solve part a,b,c

Q: The maximum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

A: Given, Foci: F(0,±2),  vertices: (0,±5)

Q: f(x) = x+69 (x-3)(x-6)

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Q: 2. Which definite integral approximation formula is f(x) dx = Left rectangles Right rectangles…

A: The given formula is;  Integration of f(x) , limit from a to b = (b-a) /n [y0+y1+y2+y3+...+yn-1].

Q: 1₁ (²+4)y=12; y(0) = 0 (0) = 2 1.

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Q: Describe the Interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: c) - i) Find the general term (an) of the sequence ii) Calculate 2e-¹,5e-2, 10e-3,…

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Q: Use counting arguments from the preceding chapter. The seven contenders in a horse race at Aqueduct…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +5 and dt Find dy dt dt when x = 3. (Simplify your…

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Q: Question 16 Consider parts? A B -S₁²x sinx dx. Using integration by parts, let u = e2x, dv = sinx…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) -8 (a) lim f(x) =…

A: To find out the limits.

Q: Without using a calculator, for the following, determine the slope of the tangent line, then find…

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Q: a) [ i) Find the exact length of the curve y = x³ + 12x 1≤x≤2

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Q: Problem y" (t) + y" (t) + 3y' (t) - 5y (t) = 16. e= -t y lol=0 #1 y' (o)=2 y" (0) = -4

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Q: Suppose dn 1 dt 10n and n(1)-2. Answer the following. 8) Separate the differential equation, then…

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An…

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Q: Suppose y cos 0sin 0. Answer the following. dy de 6) Separate the differential equation, then…

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Q: 1. Find the radius of convergence and interval of convergence for the series n=0 2nx" 3"

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Q: Find the derivative. F'(x) if F(x) = (ex5+1) 8 ='(x)= ***

A: We have to find derivative

Q: 8. Convert the angle 315° into radians.

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Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact…

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Q: dy d²y Find and dx dx² x=t² + 4, y = t² + 9t 11 dx d²y dx² For which values of t is the curve…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: We have to test the series