Find the particular solution of the differential equation satisfying the initial conditions y(1) = 4, Answer: y= Your answer should be a function of x. x²y" + 5xy' + 13y=0 (x > 0) y'(1) = 1.

Q: given costheta=5/13 with theta in QIV, what is the value of 2theta?

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Q: Q2. Solve the following ODE with condition y(2) = -4 and y' (2) = 14. y" + 2y + 5y = 50t - 100

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Q: Use logarithmic differentiation to find the derivative of y = (In(4x))(5x) (where x > 1/4 so that…

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Q: Find y' if 7 y² + sin (3x) = 12-yf

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Q: Find the inverse Laplace transform of F (s) = f (t) - = f (t) - = f (t) = f (t) = f (t) = 23 23 8 33…

A: Here, the given Laplace function is: F(s)=7s-5s2-16=7s-5(s-4)(s+4)

Q: d. A cadet engineer determines that when x hundreds of units of a particular commodity are produced,…

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Q: Y Calculate J₂ (₁2) dA JR 1 + x R= [0, 5] x [0, 5]. Answer: dA, where

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Q: 1) Suppose that F(x) = 15x³+4x² - 3x + π. For each of the following questions, type yes if the…

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: Find the second derivative [f"(x)] of the given function: f(x) = eln / +2 O 2 (²+2) (5) (²+2)√²+2…

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Q: S ex 2x (e²x + 8e*+7) 3/2 -dx

A: NOTE: Refresh your page if you can't see any equations. . .....................(1) substitute…

Q: Given: y = 5 (cosh log )², find y' (cosh² O g = =|sinh 2 log = ]5 sh®log }} O 5 O ý =−}(m& )[sinh 2…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Solve the equation: 5-2 = 32+1

A: See this solution in below.

Q: 3. For Z= xtanxy,evaluate Zyy

A: The given function Z=x tanxy We have to find Zyy.

Q: Evaluate S COS 3 ³ (1) 6 [ cos ³ (1) dx = 3 6 dx.

A: Given query is to find the integral.

Q: Fill in the first 3 levels of Richardson extrapolation to estimate the derivative of sin(x) at x =…

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Q: Solve the given initial value problem. dx dt dy dt : 6x + y; || - 4x + y; x(0) = 1 y(0) = 0

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Q: Put the equation y = x² + 12x + 35 into the form y = (x - h)² + k: Answer: y = Question Help: Video…

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Q: 1. Evaluate the integral f 2³+6²+12r+dr. (Hint. You may need to use partial fractions and trigono-…

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

Q: √x² ²-4 .3 x -dx

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Q: Show that the triangle with vertices A, B, and C is a right triangle. d(A, B)2 = 145 d(A, C)² + d(B,…

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Q: Find sec 0 if tan 0 sec A Get Help: Video - 15 8 and cos > 0. Answer exactly. eBook Preview TIP…

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Q: Solve the equation: loge (x + 4) + loge (x + 3) = 1

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

Q: Given the following graph of a function. 2 What is its domain? O 4 0 (-∞0, +∞0] O (-∞0, 2) U (4,00)…

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Q: Given the following differential equation: (y³+ kxy4 - 2x)dx + (3xy² + 20x² y³ - ky)dy = 0 a) Solve…

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Q: the reference angle of an angle -145 degree?

A: We have given angle  Let, θ=-1450 Coterminal angle is given as θc=3600-1450 θc=2150 So, θ=-1450 lies…

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Q: 1+tan^2x/sec^2x-sinxtanx/secx-cos^2x

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Q: Find dy/dx by implicit differentiation. (5x^3)(y^2)−(7x^2)(y)=2

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Q: xis that the terminal position of the angle resides in and state the value of the reference angle.…

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Q: evaluate the iterated integral

A: Fubini’s Theorem If f(x,y) is continuous on R=[a,b]×[c,d] then, ∫∫R…

Q: Question 9 Determine the derivative of the given function: y = ²2t Oy=t² (2¹) + 2(2¹) (t) Oy In 2(2)…

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Q: 3. sin² 3xdx

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

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Q: How long is the radius of the circle with center at (-4,5) and tangent to the y- axis?

A: Given query is to find the radius of the circle.

Q: f(3) = 0 f has a horizontal asymptote at y = 2 f has vertical asymptotes at x = 4 and x = - 4 f(0) =…

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Q: D Question 8 Given the following graph of a function. 3 2 O (2,00) 4 4-3-2-1 12345X -1- -2 -3 4 5…

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Q: 2x²-5x-10 (x+2)(x² −4) dx

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Q: cos8x-1 sin8x 4.Evaluate y' for y=- and simplify the answer

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Q: b) Find the differential of the function f(x) = tan(√x)

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Q: 19. a) Find an equation of the circle that satisfies the stated conditions. Center at the origin,…

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Q: Draw - 7T in standard position. Answer in radians, the □ is already given. 4 -5 -4 -3 -2 -1 Clear…

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Q: . (tan¯¹(t),e¯² Evaluate lim (tan-¹(t), e-2t, Inty t→∞

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Q: Find the interval(s) on which ƒ(x) = |x² − 5x + 15 is differentiable. Enter your answer using…

A: The given function fx=x2-5x+15 We have to find the interval on which fx is differentiable.

Q: Evaluate i. Integral 6xln(3x^2+5)dx by selecting and using appropriate substitution.

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Q: Find the area of the region bounded by the curve y = x² - 6x + 7 and the line x + y = 3.

A: The curves are y=x2-6x+7 and x+y=3

Q: For the function below, find a) the critical numbers, b) the open intervals where the function is…

A: A point x=a is said to be a critical point of f(x) iff f'(a)=0

Q: Given a first-order differential equation: √1 + x² dy - ydx = 0 a) What is the best solution method…

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Q: b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an…

A: Please see the below picture for detailed solution.