X a) y = x²-1 x-1

Q: Evaluate the following limits. 8,181,818 14231x¹330³811891 f(x)= 4x +33, x≤-9

A: given function

Q: Find the point at which the line y = 6x - 17 is tangent to the graph of y = e(x²-9). The point of…

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Q: Calculate and type the final answer in the space. You may use either scientific notation or standard…

A: The given expression

Q: Compute the second-order partial derivatives of f(x,y) =e4x2+6y2 82f 8x2 (x, y) 82f ?х у 82f дудх…

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Q: Use the Squeeze Theorem to evaluate the limit Enter DNE if the limit does not exist. Limit = lim sin…

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Q: -X

A: Given graph of function

Q: You are given the differential equation 8xy = −5+, satisfying y(16) = -5. The solution can be…

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Q: Each derivative represents the first line of a "first principles" definition for some function f(x).…

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Q: Which of the following are continuous functions? (Select all that apply.) The temperature at a…

A: Which of the following are continuous functions?The temperature at a specific location as a function…

Q: Which ones are yes and which ones are no?

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Q: Find an equation of the plane consisting of all points that are equidistant from (-1, -3, -5) and…

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Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a¹ = 12, ƒ(a) = 3, f'(a) = 5, ƒ'(a³) = 5 Then…

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Q: 21. (1.4.4) Use the Law of Exponents to rewrite and simplify the expression. a) b) x²n * x³n-1 xn+2…

A: (a)The expression is .Calculation:

Q: Evaluate the following limits. 8,181,818 418 28 187 8118108 f(x) = √x-7, x ≥ 0 Show your work here…

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Q: Let the matrices and Find each of the following: Ay = and Bx = -4 27 A-441 -4 5 = 2t - [24] X = and…

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Q: Find the value of k that makes the following differential equation exact. kr cos(90) dr - 4r²…

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Q: Consider the following graph of the function f(x). Now, evaluate each of the following limits. lim…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x², x = 2, x = 5, and y…

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Q: 30. Physical Science A plane flying into a headwind travels 2200 miles in 5 hours. The return flight…

A: A plane flying into a headwind travels 2200 miles in 5 hours. The return flight along the same route…

Q: Find an equation of the tangent line to y = sec 2x at x = π/6

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Q: 1 Find the inverse function (on the given interval, if specified) and graph both f and f on the same…

A: The given function  for .The aim is to find the inverse function and sketch its graph.

Q: The graph of f is shown. State the signs of f! and f" on the interval (0, 2). f'--?--0 f✔ --?-- V II…

A: From the graph, we state the signs of f' and f'' on the interval (0,2).

Q: 1+2x2 X ² (1+x²) dx

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Q: Which of the following vectors is perpendicular to i? i+j i-j i - 2j -2i -2j None of the above

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Q: Analyze the function below. Which of the following is/are true? 8 f (d) 818588

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Q: The particular solution of the form y = c1y1 + c2y2 that satisfies the initial conditions y(0) = 8…

A: given differential equation

Q: 6. Solve the following initial value problems and verify your answers, dy = 3x²e; y(0) = 0 dx

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Q: Theorem af Let the functions f and be continuous in some rectangle a 0 or 2t + 11y 0 2t + 11y 0…

A: We have to state where in the ty-plane the hypotheses of the theorem above are satisfied.First we…

Q: Consider the following. So 14 7 du = √ 2x + 1 Let u = 2x + 1. Find du. dx dx Indicate how the limits…

A: Let

Q: Consider the following graph of the function f(x). 10 (b) lim f(x)= x→2¯ (c) lim f(x) = x+2+ y (d)…

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Q: Without a calculator, identify the given key features of the polynomial and sketch a possible graph.…

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

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Q: Determine, without graphing. Whether the given quadratic function has a maximum va then find the…

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Q: S K₁² Evaluate 1 (x − 1)² dx

A: Evaluate ∫1∞1(x−1)2dx

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

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Q: 11. a) By solving some equations with some unknowns, determine whether it is possible to write [5,…

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Q: Find the derivative of the function. 3 f(x)=√x - ³√x

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Q: Evaluate the following limits. x lim x 5 x 5 lim x+5+x-5 I x lim x 5 x 5 P HOT

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Q: Construct a truth table and determine whether the given compound proposition is a tautology,…

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Q: _f(x) = = x + 1 ; P(-2, 2)

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Q: Analyze the function below. Which of the following is/are true? 8 f (d) 81 82 8 x+5 as x→ 1+, f (x)…

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Q: 9. Evaluate the integral by changing to spherical coordinates. вто St √2-x²-y² √√x²+y² xydzdydx

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Tur f(t) ≥ g(t) for all t in [a, b]. If f and g are continuous on [a, b] and [f(t)-g(t)] dt > 0,…

A: If f and g are continuous on

Q: Critical Thinking Question: to be agreed upon by the group, and written below by the recorder.…

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Q: Check Your Understanding: Why is it not always necessary to use the quotient rule to find the…

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Q: Let s(t) = 8t³ — 24t² function for the velocity. 241² - 48-72 o(t) - 192t be the equation of motion…

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Q: Find the limit of the sequence {a} if it converges; otherwise indicate that it diverges, where…

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Q: The following figure shows the graph of f and a line tangent to the graph of f at x = 6 . Find f(6)…

A: The following figure shows the graph of f and a line tangent to the graph of f at x = 6.We find f(6)…

Q: Part III. Elimination of arbitrary constants. a. y = c₁e²x cos 3x + c₂e²x sin 3x ans: y" − 4y' + 13y…

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Q: In three to five sentences, discuss how the Limits of a Function is relevant to optimizing the area.

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