The distance s (in feet) covered by a car after t seconds is given by s(t)= -t^3 +9t^2 -15t -25. What is the car’s acceleration after 3 seconds?

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A: Determinant of upper triangular matrix is product of the diagonal entries of the matrix. So here we…

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A: Given :   complementary solution

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A: How to find the limit exist or not.

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A: ∫sinx= -cosx 1+cos2x=2cos²x

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A: We can solve this as follows:

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Q: Find the general solution of 3 y" = 6x³ y' (6) = 2 y (0) = 1 TUNISINI + *292/

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A: Note-there is no rule such that type written solution only, so here i will solve question hand…

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Q: 40/2 x 30 =

A: Topic = Algebra

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A: Breaking the numerator is the key here. After that, break the given function into two parts and then…

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A: Derivative of f(x) gives velocity

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A: We need to check if the following functions are homogeneous, and if so,of what degree they are.1.…

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Q: Suppose that the function fis defined for all real numbers as follows. 1+x² if x S Is the function…

A: Topic = Functions

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A: We can solve this as follows:

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A: Here, suppose the quadratic equation is: y=px2+qx+c Given that it passes through (0,-4).

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Q: 34. t-36 f(-) dx = -36, which of the following must Given that be true? A. 6-36f (p) dp = -36 B. −…

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A: As we know that cosθ=BaseHypotenus for a right angle triangle.

Q: Problem 3: Determine the two-variable function F(x, y) if Fy (x, y) = y sin(πxy) — x given that x^2…

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Q: 2. Graph the following piecewise function. State the domain, range and intercep if x <-3 x²+1 if -3…

A: Given function:- fx=2if x&lt;-3x2+1if -3≤x&lt;1xif 1≤x

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Q: 20. If you use the ratio test on the divergent series $ Σ2-1 =1 inequalities will result? n+4 A.…

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Q: y = e(c₁ cos 2x + c₂ sin 2x)

A: y = e-x(c1 cos 2x + c2 sin 2x) So, y' = - e-x(c1 cos 2x + c2 sin 2x) + 2e-x(- c1 sin 2x + c2 cos 2x)…

Q: 1) In the 2000 U.S.​ Census, a small city had a population of 60,000.  By the​ 2010, the population…

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Q: The series converges. O The series diverges.

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Q: 13. Which differential equation describes the slope field shown below? 4

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Q: Find the derivative of f’(x)= 6 √X - 1/X^3 And f’(x)= -6 √X - 1/X^3 •One has a negative 6 and one…

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