Graphs of the position functions of two particles are shown, where t is measured in seconds. (Enter your answers using interval notatio (a) S When is it negative? When is the velocity of the particle positive? When is the particle speeding up? t When is it slowing down? i

Q: Consider the function f(x) = 12x5 + 15x² − 240x³ + 1. - f(x) has inflection points at (reading from…

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Q: 2.(16)

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A: L(t)=(sin⁡(t))cos⁡(t)

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Q: Let f(x) = {(x²-1) x²-x+k₁ ifx <₁; ifxzi kan find the limit of f(x). (1) lim, ₁- f(x)= 1 (ii) lim +…

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Q: If f (2, 4, 3) = 2 af and of = -4 at (2, 4, 3), then our best guess for an approximation to f(2.001,…

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Q: -1 The function ƒ(x) = 6x + 2x¯ has one local minimum and one local maximum. This function has a…

A: Take derivative.Take the second derivative.

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Q: *+ 16xy + y^: 4x³ + 16y = 0 4y³ + 16x = 0 x³ y = / 7313

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Q: X X+1 11

A: To evaluate the following integral.

Q: Integrating a Discontinuous Integrand Evaluate -dx, if possible. State whether the integral…

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Q: f(x) = log2 (x - 5)

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Q: b) Practice taking derivatives with the examples below. Practice for speed and accuracy! How could…

A: Since you have asked multiple questions in a single request so we will be answering only first

Q: 2-3 Given A = -3 -3 2, B= 0 1 -3 01 -2, find 2A 4B. 0-3]

A: A=[2−3−32−30],B=[10−3−20−3]

Q: 2. §13.3. Q8. Evaluate the indicated partial derivatives. (a). & (rev15ay). (b). (zers).

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Q: Use S6 to estimate the length of the curve y = x² over [1, 4].

A: Length of the curve y=12 x2 over [1,4]

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Q: J Evaluate the integral using substitution method 2 sin x x) 5 (3 + cos x) dx

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Q: (7) Consider a particle moving along a straight line whose position function is s(x) = 4t - t2,…

A: Consider a particle moving along a straight line whose position function is , where s is in feet and…

Q: 5. Sketch the domain of f. (a). (Q24) f(x, y) = √√√x² + y² - 4. (b). (Q28(b)) f(x, y) = ln(y - 2x).

A: given function

Q: The figure below shows f(x) and its local linearization at x = a, y = 4x-4. (The local linearization…

A: Given figure below shows f(x) and its local linearization at x = a, y = 4x-4.

Q: is Suppose that the equation of motion for a particle (where s is in meters and t in seconds) s =…

A: Question No. (c):Suppose that the equation of motion for a particle (where s is in meters and t in…

Q: A geometric sequence is defined by the equation a₂ = (-2) 건 Find the following. Be sure to show all…

A: Given, .

Q: Find the integral. 3x²-5x+4 2³-2x²+x 學 O In x-1 +C 士 文

A: The given integral is

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Q: The graph below is of f'(x) for some function f(x) with domain (-00, 0o) (i.e., the graph of the…

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Q: - 1x² 2 xe de = 1 Proov this Note: Consider using by fart.

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Q: L(t) = -173 + 0.578t +0.00760 t^2 : t in years since 1880 Using the sea level formula L(t), estime…

A: Given                                                       Where t in years since 1880. By using…

Q: 3. The table defines a geometric sequence. Find the first term. n 3 4 5 an 45 4 135 8 405 16

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Q: Find the arc length function for the curve y=18x*2 with starting point P.(1, 18). O z =…

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Q: 8. Use logarithmic differentiation to find the derivative of cos² (x) r +1 g(x) = 21

A: Given, we know that ,

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Q: Find all critical values for f(x) The critical values occur at x = 4x 6 10x²7x + 13 . (Enter your…

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Q: The general term of a geometric sequence is t = 3(5), where is a positive integer. Show all steps to…

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Q: x 3 - x² 4) lim x→1 X-1

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Q: Find the equation of the tangent line to the graph of y = f(x) at x = x0  f(x) = ln x; x0 = e−1

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Q: Provide logarithmic differentiation to find the derivative dy for y= (x².2x) * dx

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