Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or increasing decreasing f(x) = 5x² + 9x + 4

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Q: -1) Use the limit definition to find the derivative of f(x) = x² at x = 4.

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Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: Let f(x) = x² - 5x - 6. Find the open intervals on which f is concave up (down). Then determine the…

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Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: for the following question above help me solve b and f, please. thank you

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Q: 2. Find the area of the region between two concentric circles r =7 and r=10

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Q: Determine the average rate of change of the function over the domain graphed. (-3,5). y (3,5) 41 2…

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Q: 1 3 I(t) = ²/³ - 5 ² + 3 2 +86 (0 ≤ t ≤ 10)

A: I(t)=13t3-52t2+86for critical numbers put I'(t)=0d dt(tn)=ntn-1d dt(constant)=0

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Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. tan ¹ n A.…

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Q: you have to round it off and it will become 2.21

A: The final answer  A = 2.21875 sq units

Q: Find the unique solution to the differential equation that satisfies the stated condition dy In(x)…

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Q: The number of different species in Artemis (fictional) is modeled by f(t) = 1000t/((t+3)(t+5)) in…

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Q: Find the distance between the skew lines: x = 5+7t, y=3+7t, 2=8-9t x = 1-t, y = 6, z = 5+8t NOTE:…

A: The given skew lines: L1:  x=5+7t,  y=3+7t,  z=8-9tL2:  x=1-t,  y=6,  z=5+8t

Q: 8. Solve the following. (a) Find the equation of the tangent line to the graph of f(x) = x²-9 at x =…

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Q: he area of the region shared by the cardioids r= 12(1 + cos 0) and r= 12(1- cos 0).

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Q: Verify that the given differential equation is exact; then solve it. (21x²y³ + 4y) dx + (21x³y² + 4y…

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Q: 4. Consider the graph to the right, containing the points (0, 1) and (1, 5). A. What function is…

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Q: How do you find the absolute max and min for problem 45?

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Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

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Q: 4. Find the exact arc length of the curve over the stated interval: x=3t², y=t³,0 ≤t≤2

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Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: Find the 4th order Taylor polynomial, T4, of the function f(x) = e³ centered at a = 1.

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A: Given, f(x) has only one critical point and that is x = 3. therefore, f'(3) = 0.

Q: Let f(x) = x³ – 5x² + 2x - 5. Find the open intervals on which f is concave up (down). Then…

A: The solution is shown below-

Q: find a reduction formula for the integral|x" cos x dx.

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