or For the given function f(x) and numbers L, c, and e> 0, find an open interval about c on which the inequality f(x)-L0 such that for all x satisfying 0r

Q: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

A: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

Q: A company produces and sells 1440 tables each year. Each production run has a fixed cost of $200 and…

A:

Q: Wages and Salaries Calculate the weekly wage of the following employees given their annual salaries.…

A: NOTE: Refresh your page if you can't see any equations. . to convert the annual salary into a weekly…

Q: Evaluate 4 fa²¹ t tan³ (x5) dx

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Q: Evaluate the limits. lim 12= X-7 lim X->-1 lim (5+3)= +->5 X= lim (4₂³-3₂) = X-7-1 lim X-7 lim X-7-3…

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Q: What is the center (h,k) and radius of the cirlce: x2+y2-6x+4y=12

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: Find the length of the curve. r(t) = (0) - (10, 1², 12³), 0 = 6 0 st≤ 1

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Q: plot 1 2√x+y + 1 2√x-y

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Q: Evaluate 6x³ sin² (x¹) dx

A: Concept: The sum of the discrete data is indicated by the integration The area, displacement, and…

Q: Find a such that the distance from (−1, 2) to ax − y + 9 = 0 is √5 units.

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Q: Find_lim (3x³ + √9x6 − 2x³ ) x118

A: If x → ∞ then y → 0 if x=1/y

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Solve each of the following differential equations given that each has an integrating factor of the…

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Q: Let f(x) = = 52 – 3 if a 4 - -6x+b if x > 4 If f(x) is a function which is continuous everywhere,…

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Q: Solve for t. ROUND YOUR FINAL ANSWER TO 2 DECIMAL PLACES. 6 e 1.6t = 19764 t=

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Q: Consider the function Which of the following gives the percentage rate of change P? Select the…

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Q: Name: Employee 1. Calculate the gross pay for the following employees: R. Dean A.Wilth L. Robinson…

A: We can find Gross pay .

Q: (b) Find an equation of the tangent line to the curve at P(2,-4). (a) The slope of the curve at…

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Q: The number N of US cellular phone subscribers (in millions) by year (t) is shown in the table.…

A: As per guidelines we can solve only one question at a time and maximum three subpart at a time, so…

Q: Textbook) The diagrams below are not necessarily drawn to scale. For each pair of triangles:…

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Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

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Q: b. f(x) = 4x² x²+49

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Q: Question Find the tangential component of acceleration for a moving particle if its position…

A: Tangential component of acceration

Q: Find the horizontal and vertical asymptotes of the graph of the function f(x) = 3x³ √16x6 + 1

A: We need to find out the Vertical and Horizontal asymptotes of the function given below:

Q: Solve for x:  log x + 2 log 2 = log 20 - log 10  and show all workings.

A: Solve for x:  log x + 2 log 2 = log 20 - log 10

Q: b. C. x√5x-1 (b) lim x-1 x-3 (c) lim x-4 3x - 12 |x4|

A: From the definition of the limit; The limit limx→afx exists when the left-hand limit and the…

Q: Use the properties of limits to help decide whether each limit exits. If a limit exists, find its…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 9-20 Compute the differential dz or dw of the function. -1 13. z = tan xy

A: To compute dz of the following function: z=tan-1xy

Q: Suppose that the functions u and w are defined as follows. u(x)=x+2 w(x) = x² 2 Find the following.

A: NOTE: Refresh your page if you can't see any equations. . . take x=-4

Q: 1. Find lim 1 3 1 8 x→2- x2 - 4x +4

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Q: How would you define f(6) in order to make f continuous at 6? f(x) = x²-3x-18 x-6

A: The given function fx=x2-3x-18x-6 we have to find the value of f6, so that f is continuous at x=6

Q: Find and draw the domain of the partial derivatives əm ¹ of m(x, y) = √x − y + √x+y. əx

A: We can find partial derivative of the given function .

Q: 1 lim - sin(x) Evaluate *→0 x

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Q: y = -14x+49. X-7

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Q: 9. y = (1 + x²) Arctan x 10. y = sin(Arccos x)

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Q: If ƒ and g are continuous functions with ƒ(5) = 2 and, lim[2ƒ(x) − g(x)] = 5 find g(5)

A: Given:- limx→52fx-gx=5 and f5=2if f and g are continuous functions then need to find g5

Q: (4-x-x² if x ≤ 3 if x > 3 2x-9 Calculate the following limits. Enter "DNE" if the limit does not…

A: We have to find the limit.

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: 2. Determine whether the following integral is convergent or divergent. If convergent, evaluate. 1…

A: Given query is to find integral converging or diverging.

Q: Using riemann sums, determine the area bounded by the function f(x)=(2x^2) +1 in [3,5]. Make the…

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Q: How do I use the Bernoulli sub for the eq:   (  x^2 ) (dx/dt)= x^2t+3x^3 and where x( 0) =2 thanks…

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Q: You are given that lim f(x) = −5, lim g(x) = 5, and lim h(x) = 4. x→a x→a x→a Find the limit lim [h²…

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Q: How would the triangle be drawn for this problem ?

A: Given: In a baseball field, a drone is flying directly between the first and second base. Distance…

Q: -5 -5-4-3-2-1 5 45

A: Need to write down the value of f(1) from the graph of the given function.

Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

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Q: lim √x+15 cos (x + 4) X--4t

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Q: verify that det(A B) = det(B A) and determine whether the equality det(A + B) = det(A) + det(B)…

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: We can solve it as follows.

Q: Find the derivative of each of the following A) f(x) = 128x B) g(x)=x¹8x g'(x) = C) h(x) = log…

A: