box the final answer

Q: Answer true or false. The function f(t) = (e) 10 is of e O True O False

A: topic:- function       definition:- An exponential function f ( x ) = a x. where x is a variable,…

Q: The linear approximation at and where B is: = = 0 to sin(9x) is A + Bx where A is:

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Q: Use l'Hôpital's Rule to find the limit. lim 0-0 4-4 cos 0 sin 20 OA. 2 О в. о OC. ∞ OD. 1

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Q: Let f(x) be defined as Find f'(1). f(x) = x² + 2x - 3 2 x + 1

A: Given that a function f(x) and we find f'(1) or derivatives of f(x) with respect to x and then we…

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: By using the general solution and the initial conditions we can find the particular solution of the…

Q: 17. f(x) x²(2x+3) (x² +1)*

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: I have stated the used formulas in the solution

Q: Let y = 5x². Find the change in y, Ay when x = 3 and Ax 0.4 Find the differential dy when x = 3 and…

A: x = 3  f(x)=f3=5·32=45 f(x+△x)=f3+0.4=f3.4=5·3.42=57.8 △y=f(x+△x)-f(x)=57.8-45=12.8

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

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Q: Describe the domain and range of the function. f(x, y) = 5x² - y Domain: ○ {(x, y): y 2 0}…

A: Given :fx,y=5x2-y

Q: Solve y(x) in the differential equation using Laplace Transform. y" + 4y + 10 = e-³x + sin(x); y(0)…

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

Q: If possible, find the number k so that f is continuous at every point. f(x) = 7. x≤9 X+ k, x>9 A. K=…

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Q: WHAT IS THE FORM OF THE PARTICULAR SOLUTION OF THIS (D²+D-2)y=(-e^-2x) + (3e^2x)

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Q: la x b| |a| QR and b = QP. above formula to find the distance from the point to the given line. (5,…

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Q: 5. (True/False) If f(x, y, z) = 1, then ffy f(x, y, z)dV gives the volume of V.

A: Since you have posted multiple questions, As per the policy, I can answer the only  first question…

Q: Determine the value of each of the constants, A, B, C & D Cx+D x3 x²+1 x² +1 Option 1: Option 2:…

A: topic - division of polynomials

Q: 2. 2x² + 4x-3 ,2 X dx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative. d | dx + 0 OA. x³ sin (x¹) +5, ○ B. sint dt C. 4x³ sin (x4) - cos (x4) - 1 D.…

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Q: 7) Find the curvature of y = e* at the point (0, 1). Then find the equation of the osculating circle…

A: Given curve, y=ex

Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: Integrate: S dx sin ³x cos6x

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Q: cos(x) +1-sin(x) lim

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Q: A particle moves along a line so that its velocity at time t is v(t) = t²-t - 6 (measured in meters…

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Q: In 1954, the Tenth General conference and Measures adopted the Unit on Kelvin [K] the basic for…

A: We have to find the function that relates Kelvin and Fahrenheit.

Q: Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x + z = 4.…

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Q: = 3. Let R be the region between the functions y x²2 and y = 8 x². Set up the iterated double…

A: To  sketch the region R and then set up the iterated double integral

Q: . Find the partial fraction decomposition for: 8x²-11x+14 x3-x²-4

A: The objective of the question is determine the partial fraction.

Q: Q1. Find the derivative of the following functions. a) G(x) = ² et b). H(a) = √² -dt et + 3 plnx +²…

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Q: Question Evaluate lim √3 -4 sin ¹ ( √ 362²_3√³+1)) 4 Enter an exact answer.

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

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Q: 2). Compute the general term an of the series with the given partial sum Sn. Sn = 2 − n + 2 2n, n ≥…

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Q: Evaluate the line integral ſc F·dr, where F = (y, 0, zy) and C is the helix given by (cost, sint,…

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Q: D Solve the initial value problem. dy dx -=xcos (6x²), y(0)= 7 x² OA. Y=2 y= B. Y= 1 12 1 sin…

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Q: Hundreds Place Is In _________ Period.

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Answer true or false. If f is not piecewise continuous on [0, ∞>), then L{f(t)} will not exist. O…

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Q: Find the definite integral of ƒ™/* cos 3x sin 5x dx. -π/4 Option 1: Option 2: Option 3: Option 4:…

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Q: Evaluate x ln(x² + 1)dx. (Hint: Use Integration by parts) (x² + 1)ln (x² + 1) − x² + C - Option 1:…

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Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0 ≤ 0 ≤ 2, and 0 ≤ y ≤ n.) (a) (0, 3,…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (d) At which value(s) of x, if any, does the graph of f(x) have an inflection point? (e) It is known…

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Q: 43. If you use the ratio test on the divergent series inequalities will result? +1 > 1 A. lim B. lin…

A: The objective of the question is checking the divergent of series.

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: Integrate O O-√√25-x² + C O X 25 – x² 25 - x² + C 25 - x² 2 O √25x² 2 - + C + C dx.

A: Consider the integral  ∫x25-x2dx   Formula  ∫xndx =xn+1n+1+c

Q: (b) Use the total differential dz to approximate Az. dz = X

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Q: Let f(x) be defined as f(x) = 2x² - 4x + 7. Find f'(1). (If necessary, round the answer to three…

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Q: In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled…

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Q: (x² + y²) dx - xy dy = 0.

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Q: 28. Write the expression as a sum and/or difference of logarithms. Express powers as factors. log 2…

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Q: 31. TT/2 alo csc t cot t dt 32. TT/3 [/csc²0 de

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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