Find the given limit lim (x,y)→(1,2) (x² − 1)(y² – 4) (x − 1)(y — 2) = 2+4+4x+4

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Q: a) f(x) = x + √2x − 1

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Q: (e) L 1 x (lnx) 3 dx

A: As per our guidelines we are supposed to answer only one question kindly rest can be reposted .

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Q: domain f(x) = exp 1-e 1-el-x

A: f(x)=1−ex21−e1−x2

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Q: Evaluate each expression using the graphs of y=f(x) and y = g(x) shown below. a) (gof)(8) b)…

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Q: For the graph of the function g below, (a) Does g(4) exist? (b) Does lim g(x) exist? x-4 HA 2 -2

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. tan(3x…

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Q: lim 8118 12x² - 15x - 12 x³ − 3x + 1

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Q: Find dy/dx by implicit differentiation. x6 + y² = 23 Step 1 With implicit differentiation, we…

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Q: 3. Find the exact length of y = x3/2 3 x1/2 on 0≤x≤1

A: Since you have posted multiple questions i can do one question which mentioned in statement. Please…

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Q: At the beginning of an experiment, a scientist has 320 grams of radioactive goo. After 75 minutes,…

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Q: parametrize the path that follows the graph of the function y=e^x from (0,1) to (1,e)

A: We parametrize the path that follows the graph of the function y=e^x from (0,1) to (1,e).

Q: 7. Practice with continuity. a. b. Locate the discontinuities of the function. 9 7+e5/a X = Y Use…

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Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

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Q: f(x) = Since these limits are ---Select--- ✓ lim f(x) ---Select--- X-0 ✓and f is therefore

A: Application of limits in calculus

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Q: 6. Refer to the graph of k below. -104 k(t) to- toliaupo oda y (a) Evaluate k(2). (b) Solve k(t) 27.…

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Q: Find the derivative of f(x)=√x¹4 HINT: recall that x = x ²7. Write your answer using negative,…

A: Consider the function

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Q: Compute the following limit using the properties of limits. 8, lim (3x³ +34x² -35x+81)8 x -4 Show…

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Q: Suppose y = 8(x - 2) + 27 is the tangent line to f(x) at x = 2. Find the exact value of each of the…

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Q: 7 2 x² +7 (a) (fog)(4) (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x)= find the…

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