1. Use the graph off to state the value of each statement if it exists. y = f(x)

Q: Find the limit or state that the limit does not exist. 2x²-2x-24 9-x lim X-3

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Q: x1 x³ - 1 D)] sin x - cos x 13. tan x - 1 Svig SIUSI PH e21 HI -1 15. lim lim x→/4 We

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the following indefinite integral. 1-3 Do not include the constant "+C" in your answer.…

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Q: (a+b) The angle between vectors ifa+b=5 a=3 units and units. and a is 90°. Calculate to one decimal…

A: The angle between vectors  and  is 90 degrees.

Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

A: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm.(a) To find the angular…

Q: d) Not every function has an absolute maximum_ e) Local extrema cannot occur at the end point of a…

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Q: State the domain for the function f(x) = log3(x) - 1: O (-00, 0) O (-∞0,00) O (-∞, -1) O (0,00)

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Q: State the domain for the function: h(x) = -4*-1 O (0,00) O (-∞, -1) (-00, 0) (-00,00) O l

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Q: Evaluate the definite integral. WS¹ (x²-x²) dx

A: The Sum Rule:The Power Rule:

Q: Find the linearization of the function ƒ (x) = = L(x) ab B (-2)x-3 X -1.1 86 -1.01 a -1.001 √a |a|…

A: The given function

Q: Evaluate the limit, if it exists: xy lim (x,y)+(1.1) x² + y²

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 5. R is the…

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Q: Suppose the line tangent to the graph of f at x = 4 is y=6x + 1 and suppose y=2x-3 is the line…

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Q: Find the area bounded by the given curves. = 2x - x2, y = 2x - 4

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Q: dx [(x - gx)] dar [21/a>

A: To differentiate the following functions.(i) (ii)

Q: 7-18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7.…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: (3) 1 9 x (1 + 4log²x) dx a) ≤ arcta Carctan (210 +2 Laretanly log) 45 36 Starctan (2 log) 47…

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Q: For the function g whose graph is given, evaluate the following limits, if they exist. c. lim g(x)…

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Q: The position function of moving body is given by the equation s(t) = −5+ 5 cos t (s in meters, t in…

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Q: 51. lim x→1 2. / 1 53. lim x-0+ X 1 55. lim - X 1 x→0+ X X - 57. lim x√x x-0+ 63. lim x¹/x x18 - 1 1…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: x + 3y¯−¹ = 1/2 x (5) Find y' be implicit differentiation: +

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Q: 27. (u + 2)(n-3) du 29. f. 2+² dx 28. f*(4-1)√1 dt 30. f²₁ (3u-2)(u + 1) du

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Q: Show each step as you work through these problems. Question 1 Solve: tan() = 4 for 0° < x < 360°.…

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Q: Compute the values of dy and Ay for the function y = X = 0 and Δα = dx = 0.02. Round your answers to…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: 25. S sin 0 de 26. •fº, 7 dx

A: (25)

Q: 1. The graph of y=f(x) is shown below. Sketch the graph of its derivative function. y = f(x)

A: Given :-  The graph of  is shown below.

Q: You will integrate the following rational function: s 4x2-14x-3 (x-9) (x2–2x+2) To do this, start by…

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Q: The point P(25, 10) lies on the curve y = √x + 5. If Q is the point (x, √x + 5), find the slope of…

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Q: 1. Determine the derivative of each function. (DO NOT SIMPLIFY) c) y = 2-x² d) f(x) = sinx cos2x

A: To determine the derivative of each of the following function.(c) (d)

Q: Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x,…

A: We have,    f(x) = √(x2 + y2 + z2 )Point: ( 6 , 2 , 9 )

Q: x²-49 X-7x²-7x 2. Evaluate lim: 3. Evaluate lim √x+1-3 X-8 x-8

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Q: Solve the problem. Find the number of units that must be produced and sold in order to yield the…

A: Revenue function , Cost function

Q: - What value of c will make the following function continuous at x = 0? f(x) = x³ tan³ (3x) C x = 0…

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Q: 3. Find the equation of the line or plane ( c) The line that is perpendicular to the line 2x-3y +1=0…

A: Find The Equation of the Line or Plane :c.) The line that is perpendicular to the line 2x – 3y + 1 =…

Q: a S 29 O 2 уч ua * 2 Lady

A: Given data

Q: Classify the ser The series is extbook k=1 solutely cogent, conditionally convergent, or dive Use…

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Q: Let à = ā ( – 5, — 4, 5) and b Find the projection of b onto a. proja b = (3, 1, 0). V

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Suppose the position of an object moving horizontally after  seconds is given by the following…

Q: 2 √100-912 found that the antiderivative is 2t + C, you would enter 2t. I Find the indefinite…

A: As you posted multiple questions I need to solve only first question.

Q: (x - 1)(x² +64) (x - 1)(x² +64) Setting the numerators equal we can determine the following. A+B=0✔…

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Q: Which of the following ideas represent the different ways a line and a plane can intersect. Select…

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Q: Verify that Rolle's Theorem can be applied to the function ƒ (x) = x³ – 11x² + 38x − 40 on the…

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Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If doesn't…

A: This is question of calculusHere graph of function is given we have to find limit of given function…

Q: detremine a reduced fractions that has this deminam exapnsion  0.313131...

A: The given expression is:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. 10 9 8- 7- -6- 5- -1 0 N. -3…

A: (i) To estimate the slope of the tangent line to the curve in the following figure.(ii) To estimate…

Q: Evaluate each expression based on the following table. x −3 −2 −1 0 1 2 3 f(x) 2 3 5 2 −2 −1.5 1.25…

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Q: Using the method of cylindrical shells, identify the volume of the solid of revolution obtained by…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation ㅠ dy Find…

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