Given f(x) =4/(x + 2)and g(x) =1/x,find each of the following: a. (f ∘ g)(x)    b. the domain of f ∘ g.

Q: Consider the position function for free-falling objects. s(t) = −16t2 + v0t + s0. A ball is thrown...

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Q: Domain: Range: Increasing Interval(s): Decreasing Interval(s): Continuous(yes/no&type): One-to-One (...

A: Even: if function is symmetrical about the y-axis. Odd: if the function is symmetrical about the ori...

Q: y" -4y' +4y = te2t

A: Consider the following different differential equation: The solution is divided into two sets, compl...

Q: Use quotient rule

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Q: True or false? det(A) is a number, not a matrix.

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Q: 3. Find a value of b so that the function x 1 f(x) = is continuous on (-0, 0).

A: A function is said to be continuous if Left Hand limit = Right Hand limit = f(a) In this question, w...

Q: math

A: Given: The statement, "Any system of equation have infinitely many solution, no solution, or unique ...

Q: 7. Find the derivative of each funcrion. a. y = 5-4* b. fCx) = xqx d. FCx) = Togax-1 C. Y = log4(5x+...

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Q: Use integration to find a general solution of the differential equation       dy/dx = e2−x

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Q: Find the length of the curve. r(t) 4t, t2, ostsi

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Q: Suppose that sin α = 3/5 and cos β = - 12/13 for quadrant II, angles α and β. Find the exact value o...

A: In the 2nd quadrant only sine and cosecant is positive and all other trigonometric functions are neg...

Q: 3. In the Fahrenheit scale, water freezes at 32°F and boils at 212°F; in the Celsius scale, water fr...

A: Celsius and Fahrenheit are units of temperature and are inter-convertible.    

Q: Food and clothing are shipped to survivors of a natural disaster. Each carton of food will feed 12 p...

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Q: Suppose that f(x) = 3x^3 + 16x^2 + 3x - 10. Find the zeros of f(x+3).

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim t-* 3t - 2

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Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first questi...

Q: shift the graph 3 units to the right • flip the graph over the y-axis • stretch the graph vertically...

A: Given Data: y =f(x)   1. shift the graph 3 units to the right, The new equation of the graph is,   ...

Q: Consider the following function and graph. 1 f(x) х+ 2 3. Determine whether f(x) approaches o or -∞ ...

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Q: 9) Sketch the graph of the piecewise function below 4. f(x) = x+ 2]-3 IS-7 -7<x53 10 2x-5

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Q: 6) Use the given graph of the function f to answer the following questions. 180 150- 120 90 30- -5 -...

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Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 7 Vx - 35 lim X→25 ...

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Q: For what values of a &amp; b is the following true?  (limx-&gt;0)((sin2x/x^3)+a+(b/x^2))=0

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Q: Derivatives of tower functions (or gh) Find the derivative ofeach function and evaluate the derivati...

A: Applying natural logarithm on both sides, we get

Q: Integrals Evaluate each integral.

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Q: What do you mean by euler's theorem?

A: Euler’s Theorem is a generalization of Fermat’s little theorem dealing with powers of integers modul...

Q: Find the derivative of the trigonometric function. g(x) = 9 tan(2x)

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Q: Use the point on the line and the slope of the line to find three additional points that the line pa...

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Q: Find an equation of the tangent line to the graph at the given point.

A: Slope of the tangent line is the derivative of the given function at the given point. So differentia...

Q: determine the annihilator of the givenfunction. F(x) = x3e7x + 5 sin 4x.

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Q: Evaluate each piecewise function for the given X-values. When decimal answers are required, round to...

A: 3) Given function, To find f(-1) we need to use first piece of the function, because -1 &lt;  0. Th...

Q: Estimate the horizontal asymptote of the function   by graphing f  for -10  ≤x ≤ 10. Then calculate ...

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Q: Describe the Test for Increasing and Decreasing Functions in your own words.

A: When a function is increasing, its derivative (its "slope") is positive, and when the function is de...

Q: From 2010 through 2019, the revenue per snare fin $) tor stark Industries can be modeled by 2. 2. R ...

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Q: FINO THE PARTICUCAR SOUTUON OF THE DIFFERE NTIAL EQUATION -スx =e + hx t子x-9 dx² -2x dy e AT X=0,9=0 ...

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Q: Use polar coordinates to set up and evaluate the double integral ∫R∫ f(x, y) dA. f(x, y) = arctan( y...

A: Consider the given integral: Here the objective is to evaluate the given integral.

Q: Find the derivative of the function. t3 2 h(t) : to + 3 h'(t) =

A: Given function: Used formulas: Chain rule of differentiation, Quotient rule of differentiation, ...

Q: Consider the following function. f(x) = V36 – x² Find the derivative from the left at x = 6. If it d...

A: using the first derivative definition of limit    

Q: Use a graphing utility to graph the function f (x) = –0.4x³ + 0.6x² + 3x – 2 over the interval (-4,5...

A: Given, the function f(x) = -0.4x3 + 0.6x2 + 3x – 2 over the interval (-4, 5). We have to find the lo...

Q: Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asympto...

A: Given function is We need to find its asymptotes.

Q: Components and equality Define the points P1-3, -12,Q1-1, 22, R11, 22, S13, 52, T14, 22, and U16, 42...

A: Given a points  . To find the equal vectors among .  

Q: Find the maximum value of the objective function z = 2x + y subject to the following constraints: x ...

A: Consider the given set of inequalities:

Q: Absolute Value Revisited. Use the fonnula lzl = ./ll to find the absolute value 14 + 2i 1 .

A: Given formula is:  

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.)   lim x→c+ f(x) =

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Q: y" + y' -2y = 3 -6t. y(0) = -1. y'(0) = 0

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Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x - 3.

A: Given

Q: For the given function f(x), the point c, and a positive number e, find L= lim f(x). Then find a num...

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