An object with an initial velocity of v(0) = 5 has an acceleration of a(t) = t² - 5. What is its velocity at t = 9? 203 198 193 76

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A: Topic:- application of derivatives

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A: Given Sequence 28, 14, 7............

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

A: To find the inverse Laplace transform.

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Q: Let f(x, y) O a) 64 / 27 Ob) 64 / 125 Oc) 27/125 d) 27/64 =X x√√x² - y². Then f(5, 4) = Oe) 125 / 64…

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A: We will use simple Integration rules to solve this question.

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A: To find the volume of the object.

Q: -10 -5 15 15 5 X 10

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s. f(t) = et cosh(t) L{f(t)}…

A: Note: Since the student has not given Theorem 7.1.1 to find the Laplace transform, so we solving…

Q: Numeric Response 3. The number of arrangements of the letters of the word WASHINGTON, if the ASH…

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Q: 4). Write the first-order differential equation in standard form. (Use yp for y'.) y' = x9y +…

A: Solution is given below:

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

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A: Topic:- calculus

Q: 60. (Length of an Arc) What is the total length of the curve y = e*sin x from x=0 up to y = n

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Q: Tutorial Exercise Find the slope of the tangent line to the graph of the function at the given…

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Q: Step 3 At x = 4 + Δx, the value of the function is g(4 + Δx) = 20 – Hence, Step 4 m = lim Δx=0…

A: Here we have to find the limit in step 4.

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = e* sinh t L{f(t)}…

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Q: x+1, x < 4 Let f(x) = x-4, x ≥4 Explain why f is (or is not) continuous at x = 4. Explain why f is…

A: Topic:- calculus

Q: Use the product rule to find the derivative of y=(5x² − 4)"^(2x* + 7)³³ NOT Simplify after…

A: This question is related to differentiation, We will solve it using given information.

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

A: Given, L-12s-1s32

Q: Use the Laplace transform to solve the given system of differential equations. dx dt dy = 5x - y dt…

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Q: Find the derivative of the function y=√4-3x.

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Q: 3) f(x) = ln(x5 - cos²x) 5) f(x) = xsinx 4) f(x) = x² 1 + x³ 1 6) f(x) = x¹ tan- X

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Q: Find the derivative of the function. q=5√x³+3x q' =

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

A: Formula:

Q: Find an equation of a line that is tangent to the graph off and parallel to the given line. Function…

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Q: 2-if (x - y) (x + y) = 1 prove that d²y + y dx² (2x)² = 1 dx

A: Topic:- application of derivatives    Note:- as per our guideline if more than one question uploaded…

Q: Prove that: sec (0) +tan (0) cot (0)-cos (0) -=sec (0) tan (0)

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Q: A parabola can be drawn given a focus of (-4,-10) and a directrix of y = -2. Write the equation of…

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

Q: Find the area of the shaded region. The image is not to scale. Consider c-16. y = √x Enter the exact…

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

Q: Given A B C D E 5.00 1 ∞ 1 - dx, determine all value/values ofp for which the improper integral…

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Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: 8-2x ifx 4 (a) Find the limit of g(x) as x approaches the value "4" indicated below. To do this,…

A: answer is in next step . please give a like !!

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: D. Solve the given differential equation by variations of parameters. 1. y" + y = cos² 2. y" + 2y +…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

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Q: f Find f+g, f-g, fg and - Determine the domain for each function. g . f(x) = 3x² - 17x + 10,…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin(2x) cos(2x) dx

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral = - for…

A: f(t)= t, 0&lt;=t&lt;1          1, t&gt;=1.

Q: 1 =44zz_4s + s} s2 -

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = et cosh t L{f(t)}:…

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