Second order: non- homogeneous Equations with Constant Coefficients d²y dy 2. -2 +2 y = 3e* cos 2x dx² dx -

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

Q: TRIANGLE METHOD: 600 NON and 8 =35 m 3 1. Given two vectors A = 70 m 60° N of E and B = 35 m 30° S…

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

Q: Problem 1: The graph of f and g are given. Use them to evaluate each limit, if it exists. If the…

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Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+36y=0 Oy"-5y'-16y=0 Oy"-5y'-36y=0…

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Q: Q2: Determine the solution of each of the following initial value problem s (a)y"-y-6y=2e-2x, y(0) =…

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Q: Problem 3. Find all four second derivatives of the following functions: (a) f(x,y) = 5x²y³, (b) f(x,…

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Q: Find the slope of the secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

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Q: 3. Find the value of a, where A = 43 L-2 0 a -3] 2 is singular matrix.

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Q: (3) dx x 1+√x

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

A: A detailed solution is given below

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: Which of the sequences converge and which diverge? Find the limits of each convergent sequence. 4-6n…

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Q: Find the volume bounded by the function z = f(x, y) = xy√x² - y² 8≤x≤10 and 0≤ y ≤8. over the…

A: Volume bounded by a function z=f(x,y) and a region R=x,y:a≤x≤b,c≤y≤d is given by V=∫ab∫cdzdydx

Q: Partial deviation Given f(x,y,z)=yz+xy2+xz. then, find fz(x,y,z)

A: We have to do the partial derivatives

Q: Find laplase 4-f(t)=e²¹.t³. Answer by hand

A: topic = Laplace transform

Q: 4. √₁² (x²³/2 + x ²¹/2₂ - x^²/2) dx

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Q: A = 2 Then: .For the following matrix and [1 -31 21-3³1 = [² 31 B = L6 L4 0 3 -1 c=1³₁ 11 C (A.B) +…

A: We need to solve matrix problem,

Q: f(x) = -3 sin x [0, 3T]

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Q: Consider the function f(t)=sec^2(t)-3t^3. Let F(t) be the anti derivative of f(t) with F(0)=0. Then…

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Q: Find the values of the trigonometric functions of 8 from the information given. tan 0 = - 8 15 cos 0…

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Q: Find the height of the building. 1.5m] 36 14 m

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Q: Question 6 dz Find the partial derivative of z with respect to x da = -2xy (3x²+1) sin(x²y) + 6æcos…

A: In this question, we want partially differentiate z with respect to x.

Q: 9. Expand and simplify the answer. (2x - 2)°

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Q: Hei! If y cos(xy) dydx = x=0 y=0

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Q: Find laplase 4-f(t)=e²¹.t³.

A: Given problem:- Find laplace transformation of f(t) =e-2t t3

Q: 1. Find the surface area generated by rotating the portion of the parabolic are y = x² from x = 0…

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Q: The strength of a beam is proportional to the width and the square of the depth. A beam is cut from…

A: Given ,the strength of a beam is proportional to width and square of depth

Q: Find the future value P of the amount Po invested for time period t at interest rate k, compounded…

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Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: Find the area between the inner and outer ovals of the curve r²=1+sin(theta). Please make a graph…

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Q: Find the derivative of y(x) = (x+3) ¹/2 x+19 (Use symbolic notation and fractions where needed.) dx…

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Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: 25. Find the area of the curve r² = a²cos 20. B. a A. a² C. 2a D. a³

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Q: 13. Determine lim sin x. x→0 A. 1 B. -1 14. Determine lim sin x. x-72 A. 1 B. -1 15. Determine lim…

A: 13. limx→0 sin x14. limx→π2sinx15. limx→-1ex+1 Note:     Multiple parts are given, we are answer…

Q: Evaluate the first derivative of the function below at (1, -2). y X - - + + + 1/4 = 5 y x

A: Given: xy+yx=5   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power Law: ddxxn=nxn-1

Q: Timber Inc. invested profits of $215,000.00 in a GIC at 4.51% compounded monthly. How long would it…

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Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power series…

A: Given the expression,∑n=2∞nn-1cnxn-2+∑n=0∞cnxn+2

Q: #15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y…

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Q: What value(s) of 6 are an appropriate choice when proving the following limit? lim (x² + 5x) = −4…

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Q: You plan to invest in an account which pays 5.5​% compounded continuously. If the investment period…

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Q: A) Consider the function f(x) whose second derivative is f’’(x)=4x+3sin(x). If f(0)=4 and f’(0)=4,…

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: If y cose then = dy dx ||

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Q: x²+x-2 x+1 8. Determine lim x→1 A. 0 B. -1 9. Determine lim ¹. X→1 x A. 0 B. -1 10. Determine lim…

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Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim n02n+1 ************…

A: See the answer below

Q: Solve: d²y/dx² +6 dy/dx +13y=0; y(0)=3, y'(0)=7 Write the letter corresponding to your answer. The…

A: Option C

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: 9. If the cones below are similar, what is the ratio of the surface area of the larger cone to the…

A: Given two similar cones with the given dimensions To find the ratio of the surface area of the…

Q: Sv Evaluate Select the correct response: O 2x² + 15x² + C 52² ²x² +10x³ + C 25³ +2²0 x ² + 3 O 5…

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Q: An office machine is purchased for ​$6400. Assume that its salvage​ value, V, in​ dollars,…

A: This question is all about finding the salvage value of the office machine after  9 years &…