Express a = the limit lim Σ(4(x*)² – 3(x* )³) Aï; over [6, 7] as an integral. n→∞ i=1 Provide a, b and f(x) in the expression n b = f(x) = b [*f(x)da.

Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

A: In the given question we have to draw the graph of a quadretic polynomial s.t f(x)>0 when…

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A: We have to choose the correct option from the given options according to the given information

Q: Let f(x): = lim_ f (x) Find →→3 a b x²-9 x + 3 x² - 9 X 3 с d if x 0 -6 0 does not exist 1

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Q: lim _{x\to \infty }\frac{\sqrt{x^2+1}+\sqrt{x}}{\sqrt[4]{x^3+x}-x}

A:

Q: Suppose that ƒ′(x)<= 1 for 1<= x<= 4. Show that ƒ(4) - ƒ(1)<=3.

A: Show that:

Q: 8. Use the alternate form of the denivative: lim f(x)-flc) to show that f(x) = | x + al %3D X→し is…

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Q: II. Let g(x, y) = 47² +9y² (2x-3y)2 1. Show that lim (z.) (0,0) g(x,y) does not exist. 2. Is g(x, y)…

A: To show :- limit g(x,y) does not exist at (0,0)

Q: Suppose f(x), g(x), and h(x) are continuous functions such that g(-1) = 4, h(-1)=3 and lim…

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Q: Consider the function f(x) = |x| + 2 at x = 0. Provide a table of inputs and outputs that…

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Q: 1.Find f'(x) using the limit definition of f'(x)= lim (x+h)- f(x) for the following function: f(x) =…

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Q: For the function f(x) = 8x² + 13x + 28, find f(x + h) – f(x) f'(x) using the definition lim h→0 h

A: Given: fx=8x2+13x+28 Now by using the definition we get,…

Q: (a) Let f (x) = Vx – 1. Use the limit definition of the derivative to find f' (x).

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Q: (2) ykbäi * .. Find the value of Limit Below Vx + 11 – 4 lim x→5 X - 5 3/4 O 2/3 O 7/5 O 1/8 O 7/3 O…

A: Given: limx→5x+11−4x−5

Q: ff is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² — 11) = 2. x→2 True False

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Q: Let  f (x) be a function which is continuous on [−7, 3] and differentiable on (−7, 3). Suppose that…

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Q: 3. Let f(x) = x and P = {0, nn = 1}. ... + f("1) and that lim Lf(P) + k = k(k +1)/2) 1 Show that…

A: Given the function f(x) = x & a partition of the interval 0,1 as P =0,1n,2n,3n,...nn=1. First we…

Q: 15. Suppose that the functionf:R Ris differentiable at xg. Prove that xf (xo)- xof (x) lim = f(xo) -…

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Q: The limit lim h→0 f(x) = cos(h) - 1 h represents f' (a) for some function f and some number a. Find…

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