Suppose that a function H gives the high temperature H(x) (in °F) for day x. Suppose that a function L gives the low temperature L(x) (in °F) for day x. What does (H + L\ (x) represent?

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 8)…

A: It is given that, fx=x2, 0,8. Any point on the given curve will be in the form x,y=x,x2. Distance…

Q: Differentiate the function

A: The given function is shown below:

Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

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Q: Suppose that function f divides x by 3 and adds 11. Write an equation for f−1(x).

A: Given, the function f divides x by 3 and adds 11.That is

Q: Differentiate the function: f(x) = x44x

A: We assume u and v, then find u' and v'

Q: Let f(x)=x^2 and g(x)=2x^2-3x+2. What is the difference of the two functions, f(x)-g(x)?

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Q: What is the end behaviour for the function f(x)=-3logx

A: The given function is f(x)=-3log x

Q: The concentration of salt x in a homemade soap maker is given as a function of time by

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Q: Differentiate the function. H(x) = (x+x^-1)^3 H'(x) = ?

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Q: he life expectancy at birth of both sexes in a particular year can be described by the function…

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Q: Find f'(-1) for f(x) = 2x, Express in exact form?

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Q: 5. x²y3 5

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Q: f(x) = 1– 2x +xs

A: Given, function f(x)=1-2x+1/3x^5 By using the formula of differentiation d/dx(x^n)=nx^(n-1)

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f -1(1) without finding…

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Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: Given :- P(x) percentage of the income spent on health care in year x and I(x) income in year x.

Q: Give the formula of even function?

A: To give the formula of the even function.

Q: Suppose that Px represents the percentage of income spent on health care in year xand represents…

A: Given, P(x) represents the percentage of income spent on health in year x. I(x) represents income in…

Q: f(x) = 3 – 2x +x

A:

Q: Find the slope of the graph of the function at the given point.                       f(x) = √(1 −…

A:

Q: The total number of fans who went to watch professional football games from 2005 to 2011 can be…

A: Given that, The total number of fans who went to watch professional football games can be modeled by…

Q: Consider the function f (x) = 3x – 6|. -

A: Given problem:- f(x) =|3x-6|  To find:- How is differentiability related to limits Rewrite f (x) as…

Q: determine the simplified equation of the new function h(x) = f(x) + g(x), where f(x) = 2x - 3 and…

A: From the given problem: fx=2x-3 &  gx=x+1 And hx=fx+gx So, we can write as: hx=2x-3+x+1

Q: The aerobic rating of a person x years old is modelled by the function A(x) = 110(In x-2) for x 2…

A: The maxima and minima can be found for the function by differentiation. For the values of maxima the…

Q: f (x) = 55x34x²

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Q: Differentiate the function. f(x) = 270 "(x) =

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Q: Describe the long run behavior of f(x) - (x + 4)° (æ – 1) (æ + 3) As x → - 00, f(x) →

A: Limit problem....

Q: Differentiate the function. h(x) = (x – 4)(2x + 3) h'(x) =

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Q: R(x)%3 570xe^-0.001x

A: Given: Substitute x=1000 in the above expression.

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: A step-wise function is given below: f(«) = { * - x2 - 2x + 3, when x < 2 Vx 2, when x 2 2 What is…

A: See solution below.

Q: find the value of f(x) at x 10:

A: Given, x 9.3 9.6 10.2 10.4 10.8 f(x) 11.40 12.80 14.70 17.00 19.80 To find the value of f(x)…

Q: 3* f(x) =

A: Let I denote the open interval (a, b) in R and let x0∈I. Then a function f: I→R is said to be…

Q: State the intervals of increasing and decreasing behavior in the function f(x)=x^3+2x^2-4x+5.

A: Given: fx=x3+2x2-4x+5 To find the interval of increasing and decreasing. If f'x&gt;0 for all x in…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: To determine function H that represents total health care expenditures in year x

Q: Classify the functions as even, odd, or neither. ƒ(x) = x3 + x

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Q: Differentiate the function   f(x) =    5  - 1 /x

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Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function (g ∘ f)(0) without…

A: Consider the function: fx=2x-5,  gx=4x-1,  hx=x2+x+2

Q: Verify algebraically whether the function is even, odd or neither: f(x) = x³ – 6x |

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Q: What does it mean to find the zero of a function?

A: Given :  Zero of a function

Q: Differentiate the function: f(x) = √(1+3e4x)

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Q: Verify algebraically whether the function is even, odd or neither g(x) = x* – 2x²

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Q: Express the area A of a rectangle as a function of the length x if the length of the rectangle is…

A: The area of the rectangle is given by the formula A=l×w where l is the length of the rectangle and w…

Q: Graph the piecewise function f(x) = 4, for x ≤ -2 x+1, for -2<x<3, -x, for x ≥ 3

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Q: xpressed as a function of x.

A: Given,

Q: Let f(x)=(5)x+1. Which is equal to f(−3)?

A:

Q: The population of Boston, MA in 2019 was 692,600 people with an annual rate of increase 1.4%. In…

A: Given the function of population grows is P(x) = 692,600·1.014x where x is number of years. We have…

Q: Find both the positive and negative intervals for the function. f (x) = 3-x – 2+ 6 |

A:

Q: Differentiate the function. g(x) = x 2 (1-2x)

A: Given:gx=x21-2xFormula:ddxxn=nxn-1