Determine the critical points for the function below and use the second derivative test to decide if the point is a local maximum or a local minimum.

Q: Prove the identity. cos (π+x) 3π 2 COS -X cotx

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Q: ㅅ

A: see below the answer and explanation

Q: The company that produces Cliffs Notes (abridged versions of classic literature) was started in 1958…

A: The company that produces Cliff Notes (abridged versions of classic literature) was started in 1958…

Q: Use the graph to complete the statement. 5 u 4 3 2 1 04 -1 22 0 2 4 6 A linear approximation at x =…

A: Let's use the graph and complete the statement.

Q: 2 6. The magnitude of an earthquake can be modeled by the logarithmic formula M(E) = log(0.37E) +…

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Q: b) Consider the function f(x) = x3 (x - 1) i. Find the x-coordinates of any maxima, minima and…

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Q: The Squeezing Theorem: Given a sequence {an}, suppose that there exist two other sequences {b} and…

A: we need to find the conclusion of squeezing theorem.

Q: Find the sum of the series: 7=0 (-1)"36"+2 (2n + 1)!

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Q: Determine if the graphs of each of the following functions is increasing or decreasing, concave up…

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Q: An air freshener starts with 15 grams and evaporates. In each of the following cases, write a…

A: The initial amount=15 grams.

Q: -5 -4 -3 (22 27 24 21 18 15 12 The net signed area in the above graph can be written as d where c =…

A: From the given graph we have to find the integral expression for the given shaded region.

Q: Problem #6: Which integral below represents the area of the region bounded by y = lnx, x = 1, and y…

A: Given curves:- y=lnx,x=1 and y=1

Q: A student is asked to solve the equation 216² (+1) 6 (3-5) She is able to simplify the equation to…

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Q: See attached.

A: To write the given trigonometric expression as an algebraic one.

Q: 28. (A) (B) lim, g(x) (D) g(−2) _lim_g(x) (C) lim g(x) (E) Is g continuous at x = -2? Explain.

A: Topic - Limits of a function

Q: Find the domain of the function. (Enter your answer using interval notation.) x + 4 x² - 25 f(x) =

A: this is question of function  here function given we have  to find domain of function  further…

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.​…

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Q: Find dx dt dx dt = at x = 3 if y = x² + 5 and dy dt = - 4.

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Q: Consider the following. 2 x lim r1 r²+2r Create a table of values for the function. (Round your…

A: The given limit is limx→1x-2x2+2x-8 Using the table we have to estimate the limit.

Q: Evaluate u v given the following information. . |||ū|| = 4, |||| = 8, The angle between u and is…

A: We have to evaluate u•v.

Q: Find parametric equations for line that is tangent the curve x = cost, y = sint, z = t at the point…

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Q: Let h(x) = -2x + 7 and g(x) = x³. Find the x-intercept(s) of h(g(x)) Ox=√√ 7 Ox=√ √²/7 3/2 Ox=21/2…

A: Given hx=-2x+7 and gx=x3.We have to find the x intercept of hgx.

Q: 70. f(x) V [x² if x ≤ 1 2x if x > 1

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Q: I was looking for help on #46, not #45

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Q: Complete the description of the piecewise function graphed below. -7 -6 -5 -4 -3 -2 -1 + f(x) = = {…

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Q: Sketch the region given by the set. {(x, y) | y <5} U -10-9-8-7-8-5 -14 -3 -2 10 0 8 7 6 6 4 3 2 4 6…

A: Given: Sketch the given by the set.{(x,y) | y&lt;5}

Q: Find the particular solution of the given ODE a.x-√√(x² + y²) = 1 b. y-√√(x² - y²)=-1 c.y-√(x² + y²)…

A: We have to choose correct option

Q: (1 point) In each case, decide whether the function satisfies the hypothesis of the Extreme Value…

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Q: Problem #5: Suppose is a continuous function on [a, b]. Define the values A = Which of the following…

A: We need to choose correct option.

Q: 4. Calculate the following limits with justifications: (1 + )" n+1 (a) lim ( ₁ + 1)^² ¹ 71 n (b) lim…

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Q: where did the 3/2 towards the end come from?

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Q: Evaluate the integral. √²14-8 0 (4 - 8v³ + 16v7) dv

A: Given that  a integration and we solve this use by  general property of Integration. We know that…

Q: Give a possible formula for the function below. Let A = (1, 14) and B = (2, 98). Use the general…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: Let's solve given integration.

Q: Suppose a professor counts the final exam as being equal to each of the other tests in her course,…

A: Suppose a professor counts the final exam as being equal to each of the other tests in her course,…

Q: A circuit board manufacturer estimates the yearly demand to be 1,000,000. It costs $400 to set up…

A: A circuit board manufacturer estimates the yearly demand to be 1,000,000. It costs $400 to set up…

Q: If a company has total costs C(x) = 30,000 + 25x + 0.2x² and total revenues given by R(x) = 585x -…

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Q: Given the function f(x) = 3(2-a) +b, a 0, the domain of the inverse of f(x) is O {r|r>b, reR} O {xx>…

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Q: A company's $ SE revenue from selling x units of an item is given as R = 1000x-x² dollars. If sales…

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Q: Solve for the particular solution: (D2 - 2D + 6)y=e-2x O yp= (1/14)e^(-2x) O yp = 12e^(-2x) O yp =…

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Q: Write the integral in terms of u and du. Then evaluate. [6xe²³ dx, (Use symbolic notation and…

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Q: Consider the function f(x) = 6x + 3x¯¹. For this function there are four important intervals: ( − ∞,…

A: Consider the function fx=6x+3x-1. For this function there are four important intervals: (-∞, A], [A,…

Q: Find the solution of the given ODE a. 2x³-7xy² = C b. x³ +7x²y = C c. 3x²14xy² = C d. 3x² + 14xy² =…

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Q: Show that the triangle with vertices A(1, 2), B(-2, -1), and C(-4, 4) is isosceles. We must first…

A: Given: A(1, 2), B(−2, −1), and C(−4, 4)

Q: Problem #2: Use the tangent line to the curve x5+²x+y at the point (1, 1) to approximate the…

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Q: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check…

A: Since you have posted multiple questions and I can do first question as per our company guidelines…

Q: A3. (a) Give the limit definition of the derivative f'(x), for a function f(x). Use it to find f'(x)…

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Q: (a) (b) (c) How many seconds does it take for the target to reach its maximum height? Round your…

A: A disc‐shaped target is launched straight up into the sky. The target's height h in meters above the…

Q: Find f if f"(t) = 2et + 3 sin(t), f(0) = -10, ƒ(π) = −8.

A: To find f if f''t=2et+3 sint, f0=-10, fπ=-8.

Q: 15 79. PACKAGING COSTS A rectangular box is to have a square base and a volume of 20 ft³. The…

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