f(x) =< 6x if x < 1 ax² + bif 1 ≤ x 7x if x > 2 ≤ 2

Q: -f(x)=-4x²+72-1 by

A: f(x)=−4x2+7x−1

Q: 1. For the following exercises, graph one period of each given function. Be sure to clearly label…

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Q: Use implicit differentiation to find the points where the parabola defined by x2-2xy+y2+4x-8y+24 has…

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Q: Suppose you are given a formula for a function f. (a) How do you determine where fis increasing or…

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Q: Find the derivative of the function. Simplify where possible. y =cos'' (e²)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: A ball dropped from a height of 14 feet begins to bounce. Each time it strikes the ground, it…

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Q: Practice 2: If y =cos'' x prove Hint: use the equivalent statement differentiation. dx 1 VI-X y=cos…

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: The graph of a function is given .Point of inflection: An inflection point is at which function…

Q: Let C be the curve y = 3x³ for 0 ≤ x ≤ 1.6. 12 11 10- 9 8 Do 7 6 5 4 3 2 1 0.5 15 Find the surface…

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Q: Use the information listed below to solve parts a through h. Suppose that the demand and price for a…

A: p is the price in dollars and q is the quantity demanded in hundreds

Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

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Q: 80 Consider the series Σ (19x)" n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: Find dx/dt,dy/dt, and dy/dx for  x=4te^t, y=8t+sin(t)

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Q: Find in terms of ¤ and y for the curve y² = x³. d'y dx²

A: We have to do implicit differentiation

Q: h(x) = 4x x² + 6x + 8

A: h(x)=4xx2+6x+8

Q: Find the absolute maximum and minimum values of the following function on the given region R. f(x,y)…

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Q: Two poles are connected by a wire that is also connected to the ground. The first pole is 50 ft tall…

A: Given:To Find:

Q: Find the surface area of revolution about the x-axis of y = 72 + 6 over the interval 2 ≤ ≤ 5

A: The given equation is  over the interval..Calculate the surface area of revolution about the…

Q: 2. e*. cosy dx + (1 + e*) siny.dy = 0

A: The given differential equation is

Q: Find f(x) if y = f(x) satisfies dy dx e¯½ f sin x and ƒ (7) = ²/

A: Given the experience  and y=f(x) we have to find the solution f(x) by the condition

Q: Select the integral that gives the area bounded by f(x) = sin (2x) and g(x) = cos(x) over the…

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Q: Does the sequence (an) converge or diverge? Find the limit if the sequence is convergent. an n 4…

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Q: 3. In the warm-up to Module 8 Part 1, we came up with the first several terms of the dragon curve…

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Q: Find the equation of the tangent line at x= 1 of the function 2e²x + x+1 3 x²

A: The equation of a tangent line to the curve y= f(x) at (p ,q) is given byy - q = f '(p) (x - p)

Q: Find exactly the relative extrema of the function (a) Find X-coordinate of relative minimum point. X…

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Q: Determine whether the series converges, and if so find its sum. 1 (k+4) (k+5) (Enter DNE if the sum…

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Q: Find the derivative of y = ln(6x² – 7x). y =

A: To find the derivative of the following function.

Q: Practice 3: Let 2(x) = F(x)/G(x), where F and G are the functions whose graphs are shown below. Find…

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Q: Find the surface area of revolution about the x-axis of y = 7 sin(2x) interval 0≤x≤ ka 2 over the

A: To find the surface area of revolution about the -axis of over the interval

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second DerivativeTest to…

Q: find the derivative  f(x)=log|tanx|

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Q: dy dx Find by implicit differentiation: x²y² + xsin y = 4

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Q: Find the horizontal and vertical asymptotes. (Let n represent an arbitrary integer. Enter your…

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Q: Find the area of the surface generated by revolving the curve below about the y-axis. Setup the…

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Q: Find the centroid of the region bounded by y = 3 sin x, y = 0, x = 0, and x = π. (Hint: Sketch the…

A: y = 3sinx,y=0 0xπ

Q: 6 1 √3x - 6 If the integral divereges, enter ∞, -∞ or DNE as appropriate. Report EXACT answer if the…

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Q: If 5x² + 3x + xy = 2 and y(2) = 12, find y' (2) by implicit differentiation.

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: In this question, we will find the critical point , interval where function is increasing or…

Q: (a) Derive the sigma notation formula for the right Riemann sum R, of the function f(x) = (1 + x)²…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Evaluate the following integral. 1/5 1.1 0 x tan¹ (5x)dx

A: To evaluate the following integral.

Q: x = 8 cost + 8t sint, y = 8 sint - 8t cost, 0sts 2 FEE

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Q: Let ƒ(x) = x³ + 9x² − 21x + 22. (a) Find f'(x) = (b) Find f"(x) = (c) On what interval is f…

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Q: Find the absolute max and min values. of f and state where those values occur. f(x) = sin x 1 -Cosy)…

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Q: 10 m 11 e) sketch the graph. g(x) = x³ -9x² +15x+8 ng or decreasing; c) give the coordinates of any…

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Q: Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an √97³42…

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Q: Consider the function f(x) 2x²10x + 11, 0 ≤ x ≤ 7. The absolute maximum of f(x) (on the given…

A: Given that the function, we have to find the absolute maximum and absolute minimum value

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

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Q: he temperature of a person during a certain illness is given by the following equation, where is the…

A: We are asked to find extreme point of the function

Q: Find the critical numbers and absolute extrema for y = answer does not exist. The critical number is…

A: Consider the function