Consider the following. x = 3  sin(t),    y = 4  cos(t),    0 < t < 2? For which values of t is the curve concave upward? (Enter your answer using interval notation.)

Q: Find the exact length of the curve described by the parametric equations. x = 1 + 6t2,    y = 5 +…

A: Find the exact length of the curve described by the parametric equations.x=1+6t2,y=5+4t3,0≤t≤3Using…

Q: -7. ( -5- 4 -3- IN W -2- -1. -7-6-5-4-3-2-1 1 2 3 4 5 6 7 -5- A -6- -7. HF

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Q: What is r'(x) when r(x) = log₁ Provide your answer below: r'(x) = x²+3x+4 x³tan x ?

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Q: The ACME manufacturing company makes widgets. Their fixed costs are $800 per month, while their cost…

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Q: 2 Find the average value of the function f(x)=x²-11 on [0,3]. 2 The average value of the function…

A: Given function is f(x) = x2 -11 To find :- Average value of function on [0,3]

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Q: Determine all critical numbers of the function f(x) = 8x4 - 25x² + 15 Note: For this problem, we are…

A: The objective of the question is to find the critical numbers of the function f(x) = 8x^4 - 25x^2 +…

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A: The angle of inclination from the base of Skyscraper A to the top of Skyscraper B is approximately…

Q: USE LIMIT COMPARISON TEST TO DETERMINE CONVERGENCE/ DIVERGENCE OF THE SERIES E n+2 3n²+2n²+n+1 n=1

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Q: -40x3 cos(5x4 + 1) dx (12x3) / (x4 - 5)4 dx

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Q: Solve the following triangle. A = 30°, B=30°, c=6 Ca (Simplify your answer.) ax (Type an integer or…

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Q: Consider the solid created by rotating the region under y = 1/x for 1 < x < ∞o about the x-axis.

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Q: Find the exact value of the following expression. (0)

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Q: 15) Find S X √9+8x²-x² dx

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Q: Suppose 11 f" f(x) dz f(x) dx = 16. Find 4 √ * f(x) dx = [ 11 [₁ f(x) f(x) dx. 11

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Q: 5 dx -3 2X-2

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A: Sin(theta)&gt;0, cos(theta)&gt;0

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Q: Find the relative maximum and minimum values. 2 f(x,y) = x² + y²-14x+12y - 15 Select the correct…

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Q: Consider the function f(x) = 6√√x + 7 on the interval [4, 8]. (A) Find the average or mean slope of…

A: We solve the given problem  using the concept of the mean value theorem.

Q: Express the Cartesian coordinates (1,-1) in polar coordinates in at least two different ways. Write…

A: The given cartesian coordinates is .The aim is to find the polar coordinate in two different ways.

Q: Use a suitable SIGN CHART to solve the given inequality. SHOW COMPLETE WORK. Then graph the solution…

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 5. If G(x)=√√R(x), R(1)=25 and R' (1) = -6, find G' (1).

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Q: Question 1) Besides y = x², pick at least 2 other functions with even exponents to explore. List in…

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Q: 5 88 n du

A: I=∫−5−88udu

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A: The arithmetic sequence is given byTo determine: The eleventh term of the arithmetic sequence.The…

Q: Solve the equation. 2 9-9 sin 0 = 6 cos ²0

A: 9−9sin⁡θ=6cos2⁡θsin2⁡θ+cos2⁡θ=1cos2⁡θ=1−sin2⁡θ

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Q: Let f(x) = Find the intervals of convergence for f. (Enter your answers using interval notation.)…

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Q: Sketch a graph of the pair of parametric equations. Mark the direction of the graph by using small…

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Q: Find a number a in [0, 1] such that f (a) = fave over the interval [0, 1]: f(x) = 3x² O الله O √3 O…

A: The average value of the function f(x) over the interval The given function is

Q: Suppose the temperature in degrees Celsius over an 8-hour period is given by T(t) = − t² + 3t+37 a)…

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Q: x²-2(x+0.4) Let f be the function given by f(x) (x²−2)(x+0.4) · which of the following open…

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Q: Let f be the function given by f(x) = lim h→0 O 1.9218 O-0.6931 01 4 h What is the instantaneous…

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Q: 10. Find lim h→0 e²(3+h) and some value a. 2(3) - e h by recognizing the limit as the definition of…

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