Find the function y whose derivative y = dy -is 3.x²-6-x+4 and y has a value of 2 when x is 0 dx

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Q: Use the method of reduction of order to find a second solution ty" —(8t + 1)y'+(16t+4)y=0, t>0 Given…

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Q: #3) Evaluate the definite integral below (Remember, like for all the other problems, show all your…

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Q: F Let f(x,y)= In (y+2)+2xy, Compute f(0, -1). OA. 1 OB. 1+e OC. 0 OD. e

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Q: Question Determine all intervals on which the graph of f is increasing. -6 -4 -3 -2 -1 -2 -3 -4 -6 1…

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Q: 7. Find the present value of a continuous income stream F(t)=12+0.3t², where t is in years and F is…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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Q: Find the formula for the function. Express the area of a circle as a function of its radius r.

A: Let r be radius of a circle  whose area is defined by the function A = f(r).Thus, r is independent…

Q: For what value of k is f(x) continuous at x=3? f(x) = (x-1)(x-3) 9-x² 3k, x=3 " x!= 3 (when x is not…

A: f(x)={(x−1)(x−3)9−x2,x!=3( when x is not equal to 3)3k,x=3

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Q: Solve the following equation for x. 91-x=81

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Q: Obtain the General Solution of the following differential equations. 1. x²y y' = ey

A: x2yy'=ey be the differential equationWe have to find general solution

Q: 15 Find the area of the surface generated by revolving x= 2√4-y, 0sys about the y-axis. The area is…

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

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Q: 19. Let P denote the unit circle, parametrized in the usual way. Compute Jp F-dr, where F(x, y) =…

A: To compute

Q: Determine whether the function is continuous over the interval (-6,6)? Is the function continuous…

A: Determine whether the function shown is continuous over the interval (-6,6)?

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A: Given:         To find inverse of function:     Replace all x with y and y with x.

Q: Complete the square of the given quadratic expression. Then, graph the function using the technique…

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Q: Given this integral: [x³e+4 dx Determine this indefinite integral What is the best analytical method…

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Q: Find the limit of the sequence an = (cos n)

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Q: Find fx,fy, and f₂, and evaluate each at the given point. xy x+y+z f(x, y, z) = fx(x, y, z)= fy(x,…

A: Find first three partial differential values

Q: Consider the system Ax=b where A and b are the following. -2 -3 -1 6 7 4 -4-2-4 A= 0 Gaussian…

A: Consider the system  where  are the following.By using Gaussian elimination to find the augmented…

Q: Calculate the integral approximation Se for 6 S₂ 72²1 dx. 2

A: ∫abf(x)dx≈Δx3(f(x0)+4f(x1)+2f(x2)+⋯+4f(xn−1)+f(xn))Δx=b−an.f(x)=1x2+1,a=2,b=6, and…

Q: Integrate the following function f(x). Input the constant of integration as C. f(x) = 6x³ 2x⁹ s f(x)…

A: Given that the function is        f(x) = 6x5/9 - 2x9 Here we have to integrate the given equation.

Q: 2 2 Given the series + 9 81 2 729 Does this series converge or diverge? O converges O diverges If…

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Q: is wrong please can you check .

A: Integration of 6xcosx.

Q: Determine if the function is even, odd, or neither. g(x) = 16x³1

A: Given:     g(x) = | 6x3 |

Q: Find the area of the surface generated by revolving the curve about the given axis. π x = 6 cos (0),…

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Q: Problem 10. Sketch the graph of the following function and find lim g(x). z 3 What is g(3)? Does…

A: Given graph of g(x)

Q: 8. Suppose the parabola y = 9 - x^2 is shifted three units to the right. Find the slope of the line…

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Q: The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are…

A: As we can see from the graph, the vertical asymptotes are,The horizontal asymptote is,

Q: 4 The slope of the tangent line to the curve y == at the point (8, 8, 7/7) i is: I The equation of…

A: The find the slope of the tangent line to the curve  at the point .To find the equation of the this…

Q: 2. Evaluate 3 3-6zy dA where D is the region shown below. y=x² y=-x² Ans: 36

A: Here we have to evaluate the double integral where D is the region shown in the figure below.

Q: Given f(x) = x² + 8x, find an expression that gives the slope of the line from (−2, ƒ(−2)) to (−2+h,…

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Q: Make a sketch to show a case in which the area bounded by two curves is most easily found by…

A: To make a sketch to show a case in which the area bounded by two curves is most easily found by…

Q: Find the solution to the boundary value problem: d'y dy dt2 Y -13- +36y= 0, y(0) = 8, y(1) = 9 dt

A: Given Boundary Value Problem

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: Average velocity = Where s(t) is the position function.

Q: The graph below is the function f(x). -5 -4 -3 -2 -1 lim f(x) x 2+ lim f(x)= x→2 ƒ(2) 5 4 3 Find the…

A: given graph of function

Q: Consider the following integral: This may be evaluated by using integration by parts. -) The product…

A: According to Bartleby guidelines we supposed to do the first one of multiple questions kindly re…

Q: y = √sinx, y = 1, x = 0 Set up the integral that gives the volume of the solid. lo« dx 0 (Type exact…

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Q: The total amount of consumer credit has been increasing steadily in recent years. The following…

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Q: A company makes portable heaters for outdoor dining. The company has total cost function C(x) =…

A: given that company has total cost function C(x)=45x+1280 and the total revenue function R(x) = 80x,…

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Q: Elsa is putting money into a savings account. She starts with $650 in the savings account, and each…

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Q: A bungee jumper dives from a tower at time t = 0. Her height s in feet at time t in seconds is given…

A: Solution is following in explanation step.

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Q: ك n=1 (-2)"-1 u9

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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