Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter 'co' or '00', as appropriate. If the limit does not otherwise exist, enter DNE.) 8x²-5 lim X Sở HẦ 3

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Q: 1.) Given the equation y² - 10y - 20x - 15 = 0 a. Write it in Standard form and find the following:…

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Q: -5 -2 Find the following limits, if they exist. 1. lim f(x) 2. lim f(x) x--3° x-3 0.5 -0.5 7 -1.5 N…

A: By the to find the limit.

Q: Let P denote the path parametrized by r(t) = = xy²z² Compute fp F.dr, where F(x, y, z) = x²yz² 3 sin…

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Q: 6. Determine if the vectors à = [−1, 5, 3], b = [−2, 4, 7], and ₹ = [10,7,1] ar are coplanar.

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Q: K For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim…

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Q: ① -2) (7x 0 - 3x - 2 + 이승 이승 ② 1 ( + ex) 2 dx Hx2

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Q: Use the Comparison Test or Limit Comparison Test to determine if the series converges. n²-7 n6 +6…

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Q: nsider the function f(x) = 4x - x² and the point P(2, 4) on the graph of f. Exercise (a) Graph f and…

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Q: Evaluate each limit (a) lim(x➡️b) (x³-b³)÷(x⁶-b⁶)

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Q: 5. For the function: x + 3 (x² - 4) f(x) = f'(x) = -x² - 6x-4 (x² - 4)² f"(x)= 2(x³ + 9x² + 12x +12)…

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Q: Sz/dx

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A: From the graph of f(x)limx→2f(x)=−1limx→3f(x)=1f(−1)=3

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Q: The graph of f(x) is shown. 9x² x² +9 f(x)= = (a) Find the following limit. L = lim f(x) = X→∞0 * *1…

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Q: a) Find the simplified form of the difference quotient for the function f(x)=x²-3x+4. b) Complete…

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Q: The graphs of fand g are given. Use them to evaluate each limit, if it exists. (If an answer does…

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Q: Kindly explain how you got 2r^3 sin20 dzdrd0?

A: We have to tell about step2r3 sin2θ dzdrdθ