Find the order Differential equation of (x-2)y'=y+2(x-2)^3

Q: Write the equation of the line in slope-intercept form that passes thorugh (-3,4) and (5,4). Then…

A: Horizontal axis is x-axis and vertical axis is y-axis

Q: K Suppose that T is to be found from the formula T=x (eY+ ey), where x and y are found to be 5 and…

A: Concept: Formulas used (f·g)'=f'g+fg'eln(a)=addxex=ex

Q: Use a scalar projection (NOT A FORMULA- unless you derive that formula as part of your solution) to…

A: Here we have to find the shortest distance from the point (1,−2,5) to the plane given by…

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: a. f(f(x)) b. g(g(x)) c.…

A: Given query is to find indicated composite function.

Q: > 9:37 A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t),…

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Q: 4. How far from y-axis is the center of the circle 2x² + 2y² + 10x - 6y - 55 = 0? 5. How far from…

A: Given the equation of a circle, 2x2+2y2+10x-6y-55=0

Q: Find the sum of the series, S. Szön n! S = Σ n=0

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Q: Determine the limit by sketching an appropriate graph. [x² +3 10 forx #-1 for x = -1 6) lim f(x),…

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Q: Evaluate the definite integral by the limit definition. Lxdx

A: evaluate the definite integration by limit definition

Q: Find the indefinite integral. (Use C for the constant of integration 2 cosh(√x) X dx

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Q: 1 X "S “Ţ (x² + y2) dzdydx 04 12 O ! 11 60 3 20 O-11 60

A: Given, ∫01∫0x∫1yx2+y2dzdydx

Q: Use regression to find an exponential equation that best fits the data above. The equation has form…

A: use the calculator to find the exponential regression in your calculator press STAT select edit by…

Q: Find the absolute extrema of the function defined by x² + y² ≤ 36. Round answers to 3 decimals or…

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Q: s³ - 343 Define f(7) in a way that extends f(s) = s²-49 to be continuous at s = 7.

A: Given f(s)=(s³-343)/(s²-49)= (s-7)(s²+7s+49)/(s-7)(s+7)= (s²+7s+49)/(s+7)

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Consider the region bounded by the curve y = 27x − x 4 and the x-axis.  Use Simpson’s Rule with six…

A: Here,             We have given a function now we have to find out the area bounded by the given…

Q: eftan tan ¹2 (x) sec² (x) dx we make the substitution To evaluate

A: We can find the required substitution in the below steps.

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base…

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Q: A tank contains 70 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: Г ID 2 те- да.

A: Given, ∫0ln(2)xe-xdx

Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

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Q: Solve the right triangle. Round your answers to the nearest tenth. 50° 26 B B = ₁ -0 c = 0 a = X

A: We can find the required answers using the given right triangle in the below steps.

Q: f(x)=x+3e^x find (f^-1)' (3)

A: f(x)=x+3ex

Q: 13. 3n+1 + 3 3″ 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. 4.1 4.2 The demand for a certain item is given by q=-5p²-7p+900 where p represents the price of…

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places y = x4…

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Q: Let f(x,y) = (- (x+y))8. Then 02f дхду Ꭷf Әхдудх 23f дх2ду

A: I am attaching image so that you understand each and every step.

Q: 2. Let f(x) be a differentiable function such that f(3) = 15, ƒ(6) = 3, ƒ'(3) = -8, and ƒ' (6) = -2.…

A: Given that f(x) be a differentiable function such that f(3)=15, f(6)=3,f'(3)=-8 and f'(6)=-2.

Q: Given the integral 1 /9 - (x + 2)² dx, king the substitution x + 2 = 3 sin(0) gives the integral

A: Given query is to find the integral.

Q: An object is moving with a uniform acceleration a = 2ms ², determine the functions for: c) a)…

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Q: -3 2. Express z³+z' (the conjugate of z raised to the third power) in polar coordinated form u(r,0)…

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Q: The figure shows the graph of a function. At x = 0 is the given function differentiable, and/ or…

A: Topic - Continuity and differentiability of a function for a function to be continuous at x=a,it…

Q: Consider the space curve r(t) = (-5t - 2, − 5t - 2, 3t + 5). a. Find the arc length function for…

A: Consider the space curve r(t) = &lt;-5t-2, -5t-2, 3t+5&gt;

Q: Suppose that a fourth order differential equation has a solution y = -6e5* sin(x). (a) Find such a…

A: Suppose the fourth order differential equation has a solution of y = -6e5xxsin(x) (a)  We have to…

Q: A rational fraction of the form g(x) = 0. Select one: O True O False f(x) is called a proper…

A: We know Rational fraction=fxgx, gx≠0

Q: A simple series circuit has an inductance of 1 Henry, a resistance of 50 ohms, and a voltage of 5…

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Q: Consider the region bounded by the curve y = 27x − x 4 and the x-axis. Use the trapezoidal rule with…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√5-x² dy= -2x² + 5 5-r

A: Given function:- y=x5-x2

Q: Convert the following numbers to the requested number systems. a) (753. 64)8= (?) 2 b) (103.0625)10…

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Q: A particle moves in a straight line with velocity t-2-1 ft/s. Find the total displacement and total…

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Q: If f(x) + x²[f(x)]4 = 18 and f(1) = 2, find f'(1). f'(1) =

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Q: 4 (b) Σ(-3)3k k=1

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Q: Using a u-substitution, find (2+1) cos(2² + 2x) dr. Show all of your work, including what you choose…

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Q: Two and one-half foot-pounds of work is required to compress a spring 3 inches from its natural…

A: Integration is used to find the work

Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = t4 - 18t² –…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

A: f(x,y,z)=-2excos(yz) P0(0,0,0) A=-5i+3j+k

Q: Question 2 Find the oblique asymptote of the graph of y = Oy=x+1 y=x+4 Ⓒy=x-3 Oy=x-1 y=x x²+2 2-1

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Q: Let f(x, y) = x² + 2y² List the critical points: 24xy. The critical point at the origin is a saddle…

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Q: HOMEWORK NO. 1 (A) Eliminate the arbitrary constants. 1. xsiny + x²y = c 2. ax² + x + y² = 0 3. y =…

A: We have to eliminate the arbitrary constant from the given expressions