Given the the function y₁ = 4 is a particular solution of the differential equation x2y" - 7xy + 16y= 0, use the method of reduction of order to determine the general solution of this equation.

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A: As given the girl walking away from pole with a speed of 7ft/sec.Height of the pole is 18ft and girl…

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Q: Solve the initial value problem. Ꮎ +y=3 sin 0, 0>0, y dy de E|N = 1

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A: Given: Area of rectangular field = 2000000 square feet. Let one side of rectangular field = x, other…

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Q: Let F = (2xy + z²x²,2xz) and let C be the circle r(t) = (5 sin t,3 sin t,6 cos t), for 0 st≤ 2.…

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Q: Assume C is a circle centered at the origin, oriented counterclockwise, that encloses disk R in the…

A: Given :F=<3y, -5x>

Q: Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.…

A: Green's Theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA And use the equation of the line when it passes through…

Q: Find the derivative of the function f(X) = x^2-2x by four steps processing.

A: Given function:- fx=x2-2x

Q: Find the limit by rewriting the fraction first. xy-3y-8x + 24 x-3 lim (x,y) →(3,7) x #3

A: At first, we will factorise the  numerator .

Q: Find a function f(x) such that f'(x) = 7e² + 4x and f(0) = −2 f(x) =

A: We need to find out the function.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1) 2) t³ + 2t² √t dt √x (x-2) dx

A: Here is the solution:

Q: Evaluate the following integral. Show all work, carefully writing every step in your com- putation…

A: Given query is to find the value of the integral.

Q: Suppose that the mass in a mass-spring-dashpot system with m = 10, c = 7, and k = 1 is set in motion…

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Q: A graphing calculator is recommended. Graph the function in each of the given viewing rectangles.…

A: The given function kx=132x4-x2+2. We have to sketch the graph of the function in the given viewing…

Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6

Q: 4. Use the following table to answer the questions. g'(x) -3 2.5 f(x) g(x) f'(x) 9 6 5 4 2 1 -2 (a)…

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Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

Q: Maximizing the Volume of a Box A box with an open top is to be constructed from a square piece of…

A: Four square pieces at the corners of a square cardboard of size 12 × 12 Inches  And it was made into…

Q: Find • 1 1 f²f² (5x + 2y) dxdy 0

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Q: 10. S 1 x²+2x dx

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Q: following •f(x) > 0, 1<x<2 • f'(x) < 0; -2<x<1 · f' (1) = 0 Given the sketch f(x)

A: Please see the below picture for detailed solution.

Q: A golfer stands 480 ft (160 yd) horizontally from the hole and 40 ft above the hole (see figure.)…

A: We have to find the angle that the ball be should hit.

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Q: $ Let F= (y.x) and C be the circle of radius 5 centered at the origin oriented counterclockwise.…

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Q: Solve, (dr + 256x)

A: To solve the following integral problem

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A: Given query is to find indicated derivative.

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Q: From the properties of exponential functions, the graph of f(x)=ax always passes through the point…

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Q: Find 3 4 [² 6² ² 2 2 x + y dydx.

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Q: Graph the function f(x) are -2, 0, and 1. -3 -2 -1 = 10+ 9 8 7 6 5 4 3 2 + --+ -2 -3 -2x² and draw…

A: Given:    fx=-2x2 when x=-2     f-2=-2-22               =-8 when x=0     f0=-20=0 when x=1…

Q: J x √16x² zdx

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Q: Find the horizontal and vertical intercepts for + s² - rs = 16, if the r-axis is the horizontal axis…

A: To solve the following problem

Q: Find a function f: R → R that is continuous at exactly one point.

A: We will find the required.

Q: Explain how you would prove if four given points are coplanar. Use the method you described to…

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Q: Evaluate the limit using L'Hôpital's Rule. 8 0-2 HIL lim x 0 4(e- e *) sin(2x)

A: To evaluate the limit of the function

Q: known that a certain kind of algae in the Dead Sea can double in population every 4 days. Suppose…

A: Given query is to find the time for population to quadruple and triple.

Q: Find dy/dx by implicit differentiation. x sin(y) + y sin(x) = 5 y' =

A: As per our guidelines we are supposed to answer only one question. Kindly repost others questions as…

Q: The region R in the first quadrant of the zy-plane is bounded by the curves y=-3 sin(z), z = n, 0. A…

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Q: B. Continuity or Discontinuity. Write Continuity if the given is continuous and if Discontinuity. 1.…

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Q: Solve the following initial value problem, d²y dt² +y= uπ/2(t) +38(t − 3π/2) – U2π(t) (t≥0), - y(0)…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  take Laplace on both…

Q: 1 1. S x(lnx)² 2. S dx sin 0 cos² 0-cos 0-2 de

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Q: Determine the absolute extreme values of the function the interval 0≤x≤2л. f(x) = 2 cos x - Con

A: Whenever we find the extreme values ofthe function y=f(x) in the interval [a,b] then we apply the…

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

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Q: ((x+2)−2/3) + (x+2)¹/3 4. f(x) = x (1²(x+2)-2/3). Note: This is the form that the first derivative…

A: We need to find out the intervals where function is negative and where function is positive.

Q: Find the limit by rewriting the fraction first. xy-y-2x + 2 X-1 lim (x,y) →(1,9) x #1

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Q: Evaluate the expressions. (Simplify your answers completely. Use only positive exponents in your…

A: Algebra

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 5) [615 (1³3) - 3)' dt

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Q: Find a possible formula for the graph of a function G(x) above: G(x) =

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