Find limit x by drawing only

Q: Athena graphs the parabola (x+1)^2=−8(y−6). How does she proceed? Drag a value, coordinates,…

A: The objective of the question is to identify the vertex, focus, and directrix of the given parabola…

Q: 2. Assume all given functions are continuous. If lim (f(x) - g(x)) = 10 and ƒ(5) = -8 x → 5 Find g…

A: The objective of this question is to find the value of g(5) given that the limit as x approaches 5…

Q: Given the differential equation = = y cos x, where y f (x). At the point f (2π) = 1 is f increasing…

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Q: Find all vertical asymptotes of the following function. f(x) = 2x - 9 3x² - 75

A: To find all vertical asymptotes algebraically.

Q: Consider the following. f(x) = { x ²-1 -1 -2 if x # 1 if x = 1 y 1 -2 -3 1 2 X Use the graph to find…

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Q: A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the…

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Q: Which of the following would represent the calculation to determine how long it would take an…

A: The compound interest formula:A=P(1+rn)ntWhere:A is the future value of the investment, P is the…

Q: -2 Where A = Where A = 2 What is the domain of this function? (assume there are arrows at the ends…

A: The given figure is an upward parabola.

Q: b. y = 3x² −3,−2 ≤ x ≤ 2

A: The area between a curve f(x) and x-axis in the interval [a,b] is given by Formulas we use

Q: Find all y-intercepts of the following function. Express your answer as a coordinate point in…

A: The function is given byTo determine: the y-intercepts of the function.

Q: Show if C is a closed subset of the metric space M, and K is sequentially compact, then C ∩ K is…

A: The objective of the question is to prove that if C is a closed subset of the metric space M, and K…

Q: A solid lies between planes perpendicular to the x-axis at x = -3 and x=3. The cross-sections…

A: equations of the semicircles the crossection perpendicular to the between these planes are squares…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim √x+7-9 X→74 X - 74

A: The objective of this question is to find the limit of the function sqrt(x+7) - 9 / (x - 74) as x…

Q: -example 1- Evaluate each sum. a. b. Σ2 i=1 n=1 (−1)"tn n+1 c. Σ(k+1)x* k=0

A: To evaluate each of the following sum.

Q: Pythagorean identity sin²t + cos² t = 1 to find cost. 7 29. sint= = 6 30. sin t 100 8

A: Consider

Q: If f(x) = 5x(sin x + cos x), find f'(x)=\

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Q: Evaluate the following limits. a) lim 2x² + 3 X-1 X+1 b) lim x--6 X-38 x²+7x+6 X + 6 √x²+3x 2x+1

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Q: please help step by step

A: The objective of this question is to find a polynomial function that has the given zeros -2 and 5. A…

Q: In the following exercises express the integrand as a sum of partial fractions and evaluate the…

A: Since you have asked multiple questions in a single request. we will solve the first question for…

Q: Solve gy-9 = 6y for the exact value of y. 9log7 log8-log5 13 log8 log7-log6 9log8 log8-log6 2log4…

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Q: Is the function given by f(x)= X+5 continuous over the interval (-∞,0)? Why or why not? O Yes, f(x)…

A: the functionhere need to check the continuity over the given interval is contituous if

Q: In AABC, AB = 74 cm, CA = 85 cm, and A = 119º. A) What equation would you use to solve this problem?…

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Q: Find the length of the curve x= تی را The length of the curve x = 11 + on 3 ≤ y ≤ 5. 33 4y y³ 11 +…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: The objective of this question is to find the equation of a plane that passes through a given point…

Q: A window is composed of a semicircle placed on top of a rectangle. If you have 20 of window-framing…

A: The figure

Q: g) f h) S i) f sin √x √x dx a+bx² √3ax+bx3 z² -dz z³+1 N dx

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Q: 4. The initial size of a bacteria culture is 1 200. After 6 h, there are 8400 bacteria. Please…

A: The exponential growth model Initial population.Growth rate Time in hours Population at time t

Q: Find the limit. lim (2x² + 5x + 4) X→-3

A: Let assume,

Q: 2 I Jo Je dy dx Ple

A: Let assume,

Q: use the graph of f(x) = 2* shown in Figure 31 to sformation of f(x). 25. h(x)=2x-3

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Q: Solve the given initial-value problem.(6y + 2t - 3) dt + (8y + 6t - 1) dy 0, y(-1) = 2

A: The objective of the question is to solve the given initial-value problem. The problem is a…

Q: Functions f and h are differentiable functions with h(2) = 5. x² - 4 64 – (ƒ(x))³ The function h…

A: Given that  and

Q: Thirty percent of a radio-active substance decays in 7 days, what is the half-life of the substance?…

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Q: 4921 근 S SS = dx dy dz 003

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Q: what are the steps for intergration by recgonition method

A: First of all we observe functions given.

Q: -9 1. Sketch the graph of a single relation, f, that has ALL of the following characteristics: lim f…

A: We know that, when every pre - image has exactly one image then this relation is called a function.

Q: Find u x v, v x u, and v x v. u = -5i + 3j v = 4i + 5j + 2k (a) u x v (b) v xu (c) V x V

A: The objective of this question is to find the cross products of the given vectors. The cross product…

Q: 4. A plane flies on a heading of S45°E at a constant speed of 525 km/h. If the wind is blowing from…

A: bearing of plane = speed of plane = 525 km/hspeed of wind = 40 km/hTo find:velocity of plane with…

Q: S 2x² + 5x - 19 x³ 4x² - 7x + 10 dx.

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Q: Scenario: One real life applications of the piece-wise function is when buying merchandise in bulk.…

A: This is a different question and not related to original question.A seller offers different price…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) V

A: given graph of f(x)

Q: Sketch a graph

A: The objective of this question is to sketch a graph of the parabola with the given properties. The…

Q: Find the limits. f(x) = x + 5 g(x) = x² (a) (b) (c) lim_f(x) = = x → 5 lim_g(x) X→ 4 = lim_g(f(x))…

A: The objective of this question is to find the limits of the given functions as x approaches certain…

Q: -5x If f(x) = 2, then what is the value of f'(−1)? Express your answer in simplest form with no…

A: Differentiation.

Q: (3) S S₁ sin 2x -dx = ? 1+ cos² x

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Q: he number of daily sales of a product was found to be given by S = 700xe−x2 + 700 x days after the…

A: Given that the number of daily sales of a product was found to be given by  ,x days after the start…

Q: Complete the table. (Round your answers to four decimal places.) X-4 lim x 4x² - 5x + 4 X f(x) 3.9…

A: To find:-

Q: 54 tan X 1-Sin²x dx

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Q: Evaluate the integrals in the following exercises using integration by parts. a) fxsin dx b) J0cos…

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Q: Q17: For the following find div F, curl F, grad op, and Laplacian of p: (1) F(x, y, z) = x 2 i-2 j +…

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