If f(x) = 3x-2 and g(x)=x+1, then (f(g))-¹(a) equals 01-2 O (3-1) O x-1

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Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: 1 x-y+z=-3 (2)…

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A: In this question , we will integrate .

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Q: 1. Find the limits. Show your steps. 1+3x³ xx 2 + 4x + 6x³ (a) lim (b) lim (₁ x18 - 2x) √4x²+x-

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Q: 1 1. limno 2²+ √1 + t³ dt Note: Do not use L'Hopital's Rule for this problem.

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A: In the given matrices R2 and R3 are same. We have to perform row operation to change row R1 only.

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Q: Consider the following. f(x, y) = 4y У4 2 1.² y = 3x - x² 70 D y = x (a) Express the double integral…

A: Given,  then we have to answer the following...

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Q: 4. Show that 2y"-y'-y=0 when y=e* + e.

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Q: Evaluate the limit. lim (x,y)-(-3,3) 4x²-4y² x+y

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4. 2 #…

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Q: 2 Determine and classify the critical point(s) for the function g(x) = x²(x − 3)²³.

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Q: for what value of the number k does the function f(x)= (1+kx+x^2)e^x have f'(0) =3

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Q: Suppose F(x) = f(x³), G(x) = (ƒ(x)) and: a² = 11, f(a)=2, f'(a)=14, ƒ'(a³) = 8. Find: (a) F'(a) =…

A: given given

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Q: Find the Jacobian for x = u²+ 10uv and y I VITETNE limmstan guv²

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Q: Write the following expression 2ln(8) + 5ln(z) as a single logarithm. O O In (825) Om (87) O…

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Q: 1. Given the points A(2 -1, 1), B(2, 3, 0) and C(4, 3, -4), find the vector, parametric and…

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Q: Consider the curve y = x² + 3x +5. Find the slope of the secant line at the point where x = 9. Oh +0…

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Q: Below is the graph of a function. Which of the following could be a graph of its c 3 2 1 -2 T3/ 1 2…

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Q: In exercises 13-15, let s be the hemisphere2 + ² + 2 = 4, with z ≥ 0, and evaluate each surface…

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Q: dy dx = (y +9)(y-9), where y(0) = 8 The partial fraction constants in the partial-fraction method…

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Q: Consider the graph of the function g(x) given belo g(x) -2 -4- 2 0 -2 2 -N X 4

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Q: Evaluate: log,6 O -1.631 O 18 -0.613 1

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Q: 7. Identify if the statement is Always True, Sometimes True or Never True. If lim f(x) exists, then…

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Q: For the function y = 3x², find the average rate of change of f (x) on the interval [1,4]. 20 15 O 5…

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Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k f(x) = 2x² + 7x - 22 x≤2…

A: given function is

Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k 2x² + 7x-22 x≤2 x>2 x-2…

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Q: Consider the curve y = x² + 3x + 5. Find the slope of the secant line at the point where x = 9. Oh…

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Q: For what value of k the following piecewise defined function will be continuous? [k - 2 cos x, e4x+1…

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Q: Suppose that f(2)=-4, g(2) = 3, f'(2) = -1, and g'(2) = 5. Find h'(2). (a) h(x) = 3f(x) 2g(x) h'(2)…

A: Given that  and .To find the derivative value of .Derivative formula:

Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

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