2) Let f(x) = x³ on the interval [1, 2]. Let n = 3 subintervals. Use this information to do the following problems: a) Calculate Ax.

Q: the following functions have discontinuities. find a function that agrees with f for when x ≠ a and…

A: Topic - functions and continuities We are given, A. (x^4-1)/(x-1)         a=1 B. (x^3-x^2-2x)/(x-2)…

Q: Find the distance from the point to the line P(4,5,1)​; x=4​+7​t, y=5+3​t, z=1 The distance is…

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Q: Work out:  ∫ x(x2+2)1/2 dx

A: To integrate  ∫ x(x2+2)1/2 dx

Q: 7. The graph of f(x) for 0 ≤ x ≤ 3 is shown below. C the same axes, below, carefully sketch a graph…

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Q: Find the distance between the skew lines r(t) = (2,0, 4)t + (6, −5,0) and p(s) = (4, -2, 0) s + (7,…

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Q: Find a degree 3 polynomial having zeros -8, 4 and 7 and the coefficient of ³ equal 1. The polynomial…

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Q: s X √x² - 6x + 5 dx

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=0, and x=1 about…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What is the domain of the function f(x,y) = A {(x,y) ER²x² + y² ≥ 5} ⓇB {(x,y) ER²x² + y² ≥ 25}…

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Q: Let f(x) = 6x + 15 - 7e. Then the equation of the tangent line to the graph of f(x) at the point…

A: Given :fx=6x+15-7expoint 0,8

Q: Factor the following expression completely given that one of the roots is -5: 2³ + 182² +107z+ 210 =

A: Let's find factors of given polynomial function.

Q: For the function, evaluate the following. f(x, y) = x² + y² - x + 2 (a) f(0, 0) (b) f(1, 0) (c) f(0,…

A: As per guidelines we can answer only three subpart questions at a time so if you need more answers…

Q: he average rate of change of f(x) = x espect to x from x = = 2 to x = 2+ h. Simplify completely.

A: Topic:- application of calculus

Q: Use sets U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 5, 6, 8}, and B = {3, 4, 5, 7, 8, 9,…

A: Given, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},A = {2, 5, 6, 8},B = {3, 4, 5, 7, 8, 9, 10}

Q: Find the market equilibrium point for the following demand and supply equations. Demand: p = -3q…

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Q: (x+5)(7x + 6). If you have more than one solution, separate them with commas, as reduced fractions…

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Q: 4. Find lim x→-5 x² + 2x - 15 (x + 2)²-9

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Q: 1. Find the exact volume of the solid obtained by rotating the region bounded by the curves y = cos…

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Q: In an arithmetic sequence, the 7th term is 11 and the 15th term is 93. Show all work for each of the…

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Q: Problem 8. Find a parametrization of the curve of intersection of Z= and y=e* from (0, 1, 0) to (1,…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 1. Evaluate the following limits. a. lim (x²+2x - 5) x→2 b. lim (3 + x² + x + 1) 2 x→-1 c. lim (t³ -…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Determine whether the lines L₁ : r(t) = (−3,−2, 0)t + (3, —2, 2) and L2: p(s) = (3, 2, 1)s + (−9,…

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Q: Find the distance from the point (3, -8,5) to the line a(t) = (5, −3,−2)t + (0,5, —9) .

A: We can find the distance from the point to the line by using the distance formula.

Q: An arithmetic series is defined by the formula ax= 8n - 1. Write an expression for the sum of the…

A: To find an expression of first n terms of arithmetic series.

Q: 2 f(x) = x² +1, (0; 2π), T = 2л.

A: we have to find the fourier series forf(x)=x2+1 in [0,2π]

Q: Find the point of intersection of the lines given below and then find the plane determined by these…

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Q: 16-25 x² dx

A: Given,             ∫16-25x2dx

Q: 41. f(x) = e, a = 3

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Q: Show that lim |x|=0 by first evaluating lim x and lim x. Recall that |x| = x-0 x-0 x-0* lim x=(Type…

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Q: n this problem, x = c₂ cos t + c₂ sin t is a two-parameter family of solutions of the second-order…

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Q: 3. 4x²-6x+6 2x-1 dx Ans: x² - 2x + 2ln|x-1| + C

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Q: Suppose that f(x) is a degree three polynomial function such that f(-1) = 0, f(0) = 0, ƒ(4) = 0 If…

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Q: Find all vertical asymptotes, x = a, of the following function. For each value of a, evaluate lim…

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Q: Integrate (a) the following: Sty³+4y dy -44+5y² (b) S (y+1) dy y³–1

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Q: Find an equation of the circle passing through the points  (−2, 3), (−5, 6), and (1, 2).

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Q: 5. Use the graph of y = f(x) to answer the following. a. f(-2) = -5-4-3-2-1 43 2 S - Ņ w y = f(x) 1…

A: The domain of a function is set of values that we allowed to put in our function.and Range of a…

Q: 4 Find equations of all lines having slope - 1 that are tangent to the curve y = x+9 Select the…

A: Solution: y=4x+9Diff w.r.to xdydx=-4(x+9)2since slope is -1-4(x+9)2=-14=(x+9)2 x+9=±2x=±2-9x=-7,-11…

Q: 234 3. Given the first and last terms, find the sum of each arithmetic O 117 O-135 t₁ = -15,t,=41

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Q: Graph the function by hand, not by plotting points, but by starting with the graph of one of the…

A: topic - translation and reflection

Q: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

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Q: Find parametric equations for the line through the origin parallel to the vector 4j+9k. Let z=9t.…

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Q: Ox-2 3 O O O 4(x-3) 4x = = 5. Which of the following equations has the same solution as 19 = X (3).…

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Q: Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no…

A: The given system of linear equations, 2x1+x2-3x3=84x1+2x3=18-2x1+3x2-13x3=-12 We have to find the…

Q: The position of a car as a function of time is given by the values in table t (seconds) 0 1 2 3 4 5…

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Q: List the zeros of y = x(9x + 2). If you have more than one solution, separate them with commas, as…

A: Given Equation;- y=x9x+2

Q: 6. Given that the average rate of change for y = f(x) over the interval [0, 3] is -1, the average…

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Q: 8. The function g(x) is written as: 5x + 3 if x 1 Find lim g(1+x²) x-0 g(x)= =

A: To find the limit of g(1+x^2) as x approaches to 0.

Q: 14. Find the absolute maximum and the minimum value on the given interval: b) y = x²(2lnx-3) on…

A: Since the student has posted multiple questions and does not mention any specific question and they…

Q: Suppose that f(1) = 1, f(4) = 9, f '(1) = 6, f '(4) = 4, and f" is continuous. Find the value of…

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Q: Find the unit vector in the direction of v. v = -6.3i + 3.9j u = X

A: