Determine whether the given differential equation is linear or nonlinear, and give its order. xy"+y'-3y=4 Nonlinear, 1st order O Linear, 1st order Linear, 2nd order Nonlinear, 2nd order

Q: Using the equations below, what is the value of Y, C, T? -0.2 Y + T = 20 -0.6 Y+ C = 70 Y C = 30

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Q: 5) Find the following by using the partial fraction method ii) y²-2y + 1 (y² + 1)² pro dy (2012)

A: The given integral is (y2-2y+1)/(y2+1)2. Repost the next parts.

Q: Let f be the function given by f (x) = = x¹ + x³-5x² + tan (). Of the following values of a, at…

A: We have to find the point that gives greatest slope.

Q: 20.fe* √3-4e2x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: ). Calculate the integral. (Use C for the constant of integration.) dx x 16x4 − 1…

A: SOLUTION-

Q: Question 8 Given this graph of f'(x), sketch f(x) given that f(0) = 80. -20 -10 30 25 20 15 10 -10…

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Q: The null hypothesis for a binomial test states that p = 1/5. What is the z-score for X = 29 in a…

A: We have to find the Z score.

Q: 33. f(0) is undefined. lim f(x) = 4 x-0 ƒ(2) = 6 lim f(x) = 3 x-2

A: This is a problem related to graph of the limit function. Please follow the procedure given below.

Q: 1 IN 2 + 32 + 1 23 + 1 34 + 25 +..

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Q: Find the general solution of the Differential Equations: dy dx 3)(x+1). 3x · y = e³x (x + 1)²

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Q: 5) Find the following by using the partial fraction method x²-x+ 2 x³ - 1 i) S ¡D) dx (y² + 1)² dy…

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Q: dy = y2-4 dx y (6) = 2

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Q: Suppose the rational function f(x) meets the following criteria, • limc f(x) = ∞ • limc+ f (x) = -∞…

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Q: the car value when new was 224 000.00  it is stimated that  the value of the car will depreciate at…

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Q: Y=12, 8, 16, 7, 8, 9, 20, 4 variance is equal to

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Q: Letf (x)=- 2x+9 ifx1 ffisnotcontinuousatx=1, Determine whetherf (x) iscontinuousordiscontinuousatx =…

A: NOTE: Refresh your page if you can't see any equations. . . the function is not defined for x=1  so…

Q: What is the degree of the differential equation (y) ²-xy"=1? A 2 B 1 C 4 D D) 3

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Q: If lim g(x) = 6and lim- X-4 A B C D 3 6 √√3 √f(x)-1_√2 g(x) √6 ,whatisthe limf (x)?

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Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: ex 3-4e2x 21) f dx

A: Given expression:  ∫ex3-4e2xdx

Q: 2. The graph below gives the supply and demand curve for a product. At a selling price of $7, will…

A: If supply is more than demand then the market will push the price down.  If the demand is more than…

Q: y=2x+ce; y'-y = 2(1-x)

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: Question 7 What is the auxiliary equation associated with the differential equation y'"'- 3y + 4y=0?…

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Q: The function r(t) = 6i + 7 cos(t)j + 7 sin(t) k traces a circle. Determine the radius, center, and…

A: Given function f(t) = 6i + 7costj + 7sintk

Q: y=2coshx; y"-y=0 y'

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Q: Determine whether the series converges absolutely, conditiona

A: Given that,

Q: Find the point (x₁,x₂) that lies on the line x₁ + 3x2 = 13 and on the line x₁ - x₂ = 1. See the…

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Q: Q4/ Find the maximum and minimum values of the function F = x². constraint 2x + y-z-5=0. Q5/A-…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Particular integral of (D2+9D+14)y=1+5x-3ex

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Q: Find the derivative of the function. y = In(x√x² - 9)

A: To find out the derivative.

Q: Parametrize the intersection of the surfaces x² + y² = z², 7y = z² using t = z as parameter. (Use…

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Q: Let f be the function given by f(x) = e + cos x - 1. What is the value of f' (2) ? A (B -1.281…

A: We need to find out the value of f'(2)

Q: 2) Graph f(x): = asymptotes. x²+4x-12 x+2 You need to show your algebra when finding all intercepts…

A: 2). Given: fx=x2+4x-12x+2   As we know that; To calculate the x-intercept, we need to solve for x…

Q: Use the properties of natural logarithms to simplify the function. f(x) = 3x - eln x f(x) =

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Q: 91. f (3x − 1) dx 9−2x+3x2

A: The given problem is solved below in detail

Q: The table shown gives selected values of x for the function h. 6 6.001 6.01 6.1 7 h(x) -7010 -7001…

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Q: The geometric mean of the following data is Classes:10_12 13_15 16_18 19_21 22_24 Fi:4 12 20 14 18

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Q: Find f'(x) and f"(x). f'(x) = f"(x) = f(x): = X 3 + ex

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Q: Differentiate the function. y' y = ex+5+4

A: The given function is: y=ex+5+4   As we know that; The Sum/Difference rule: f±g'=f'±g' The Power…

Q: Discuss why it makes intuitive sense to presume that the linear differential equation y" + 2y' + 4y…

A: Given differential equation is y''+2y'+4y=5 sin t  .............................(I) Now, to find…

Q: Question 9 Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x? A B y=ce²x y = 3x + C…

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Q: For the function graphed in the accompanying figure, find the following limits. (a) lim p(x) 8118 =…

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Q: 9. Find the exact value of the distance between the lines L₁ : x = −3+3t, y=1+t, = = −4+4t L₂ :…

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Q: For the pair of functions f(x) and g(x), find the following. 7 f(x) = —; g(x) = x² + 1 X ) f(g(x)) )…

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Q: Which is NOT a solution to the differential equation y" - 4y' +4y=0? A B [2x + 3xe ² y=2e²+ y = e 2…

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Q: Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have…

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Q: The mean of the normal approximation to the binomial distribution is μ = pn. True False

A: The mean of the normal expression to the binomial distribution= E[x] = np Where, n = Number of…

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x³ X 1.418 y…

A: We will integrate y from 1 to 2 to find the required area.

Q: How did you go from x^5 to x^10 on the denominator? You divided everything by x^5 and then just the…

A: Limx-infinity(x3-3x5+5)/sqrt(x4+12x10+1).

Q: Find the amount of money accrued at the end of 8 years when $3000 is deposited in a savings account…

A: Formula for continuous compound interest  Where S=amount after t yearsS0=initial amountr=interest…