Express the limit as a definite integral where P is a partition of the given interval. 3 20) liml 메-0 Σ AXk, [10, 12] 2 k=1 10 – 11c k 10 n 3 3 A) dx B) dx 10 - 11x 10 – 11x2 12 12 3 fo 3 C) dx 10 - 11x D) dx 10 - 11x2

Q: 1 nt) Consider the function f(x) = 6x2 +3 is concave up for x E isqrt6/6, infinity is concave down…

A: The concave up and down nature of the function is determined by the sign of the second derivative of…

Q: The graph of g(u) = -4 -1 -3 -3 + (-2u + 2)du = -2 - Q Use the limit definition of the definite…

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Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

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Q: a) Approximate the area under graph (a) of f(x)=1/x² over the interval [1,9] by computing the area…

A: To estimate the area under the curve in the given interval using the given rectangles.

Q: Find lim t→ 1 1 - cos2 Int 0(0.20 를 를) 0 O t ./t+7, t-1 t2 − 1

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Q: Refer to the graph of f(x) on the interval [-2, 4] shown below. Which of the following would give…

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Q: fn. (1,00) Evaluate lim

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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: 1 S(t – 4t) dt

A: Given that: The limit is limN→∞ ∑i =1N  iN2 - 4iN×iN .

Q: Fill in the blanks: The goal of an optimization problem is to findthe maximum or minimum value of…

A: Given information: The goal of an optimization problem is to find the maximum or minimum value of…

Q: Function f(x) is positive when 1<x<2, and it is negative when 2<x<3. If the area of the region…

A: the area from 1 to 2 is 5. so we can write the area from 2 to 3 is 7. so we can write

Q: Suppose that f is continuous at (4, 6) and that f(4, y) = y' for y + 6. What is the value f(4, 6)?…

A: Given that f is continuous at 4,6 and that f4,y=y3 for y≠6. We have to find the value f4,6. Since,…

Q: Which of the following functions maps the red function (y=x)onto the image function? a) y = -x+2|…

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Q: 5) Consider the function. f(x) = x≤2 (3-2x, 1₂. 3x x>2 a) Find the left-hand and right-hand limits…

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Q: =) Which of the following functions are and /or IZI> 2: हन ii) 2²1 Z-√2+4 analytic in IZK< 2

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Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite Integral by…

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Q: a)Express the limit as a definite integral. Σ (3c-5)Ax, xe[0,1] lim 2 b) and then evaluate it.

A: lim∆→0∑i=1n3c2i-5∆xi  x∈[0,1]∑ =∫∆xi=dx∫01(3x2-5)dxThis is definite integral