Find the value for k so that the function will be continuous at x = -3. f(x) = - 7x² - 70x - 147 10 x + 3 -9x² + 162x - 729 + k if x < -3 if x ≥ −3

Q: Estimate how much the function f (x) = 1/1 + x2 will change if x decreases from 1 to .9.

A: Given: The function  f(x) = 11+x2 To find: How much the given function will change if x decreases…

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: 1 For what value of x does the function g(x) = 3x³ – 2x² concave downward? A. x ≥ −1 B. x 20 D. x ≤…

A: Given function is g(x)=13x3-2x2. Differentiating with respect to x we get, g'(x)=ddx(13x3-2x2) or,…

Q: let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q…

A: Check point of discontinuity and find q. Then using given intercept point find p.

Q: Calculate R8 for f(x) = 9 - x over [3, 5]. R8

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Q: 6 5 M į -эп -5г/2 -2п -3п/2 --π/2 0 -1 3 2 -2 -3- π/2 π 3π/2 2rt 5π/2 3r

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Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: The easter bunny is running a little slow this year: he still has 300,000 chocolates left to…

A: Given, t is the number of days from now.  At t=0, C=300000 At t=5, C=(300000/3)=100000

Q: Determine the intervals on which the function f(x)=e√x is convex upward and convex downward.

A: We find f"(x)

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: 20. f(x) = x + sinx, 0≤x≤ 2π.

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

Q: Estimate L4 and R4 over [0, 7] for the function f(x) = 5x². (Use decimal notation. Give your answers…

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Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function