A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 21 + 5, s(0) = 5, v(0) = -4 s(t) =

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Q: a. Show that the point e guaranteed to exist by the Mean Value Theorem for f(x) = x² on [a, b] is th...

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Q: What is the smallest number x such that tan e^= 0.

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Q: If f(x) = In (3x³ + 4x2 + x + 4), find f' (x). Select the correct answer below: O In (9x2 + 8x +1) 9...

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Q: A 100-ft long cable of diameter 4 in. is subsequently submerged in seawater. Due to corrosion, the s...

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Q: Integrate G(x, y, z) = xyz over the surface of the rectangular solid cut from the first octant by th...

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Q: 2 Find dy/ dx: (a) 4y² – 5xy + 4x =10 5х-10 (b) y = 2 x* + 5

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Q: Suppose that the functions fand g are defined as follows. f(x) = 4x2 - 5 g (x) = 4x-6 (a) Find |(2)....

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Q: Each figure shows the graph of a function over a closed interval D. At what domain points does the f...

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Q: Improper Integrals! Please try and show all work, it will be much appreciated for me in the long run...

A: We have integral ∫1∞3+exx this is a type of improper integral  For determining its convergence or di...

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Q: Find the domain of the function: f(x) = ln(4 - x)

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Q: Use the method of Trigonometric Substitution to solve the integral given. Make sure to show all step...

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Q: 9ii- I want solution of this question sub-parts with all steps, please. Thanks

A: GivenA=2      56      8,B=3     -25     -4aTo showAB−1=B−1A−1Left hand side AB−1AB=2      56      83...

Q: 6iv- I want solution of this question sub-parts (iv) and (v) with all steps, please. Thanks

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Q: integration by parts formula to evaluate 2x edx The activity tells you to start with u = 2x. In the ...

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Q: The circumference of a circle exceeds the diameter by 16.8 cm, Find the radius of the circle

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to fou...

A: The given integral is ∫210x2+5 dx. Consider the function fx=x2+5   on 2,10. Note that ∆x=10-24=84=2....

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Q: Find the general solution of the differential equation √(1 − 4x2) y′ = x

A: Given differential equation - 1-4x2y' = xy' = dydxy' = x1-4x2dydx = x1-4x2dy = x1-4x2dxIntegrating o...

Q: 1. Evaluate the following integrals. a. x-4 (In x)? b. dx

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Q: 4. Use differential to estimate v15. (3 points total)

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Q: Determine if each of the following series is absolutely convergent, conditionally convergent, or div...

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Q: You have 2,400 yards of wire fence material and you wish to enclose a rectangular region to form a d...

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Q: 7- I want solution of this question with all steps, please. Thanks

A:             Given:The matrix P=2310-12101 , B=-200030006To find:we have to find the matrix A such th...

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Q: It has been observed since ancient times that light refracts or "bends" as it travels from one mediu...

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