Phil is standing x+5 feet from the base of a building. The height of the building is 6x−1 feet. Find the function that  the straight-line distance from Phil's feet to the top of the building in terms of x.

Q: Determine where the graph of the function F(x) =x²-15x downward. Also, find all inflection points of…

A: We need to determine where the graph of the function f(x)=x3-15x is concave upward and where it is…

Q: How do the functions el0x ande -10x behave as x o and as x S - 0?

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Q: What point on the function, y = 3x2 is the closest to (0, 1)?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

A:

Q: The total revenue for Fred's Estates LLC is given as the function R(x)=400x−0.2x2, where x is the…

A: Given  R(x)=400x-0.2x2

Q: is this a function and why y = x2 + 3

A:

Q: Find the slope of f(x) = -2x² + 2x + 3 at (2, – 1). Use a graphing utility and round to the nearest…

A: Consider the provided function and the point, fx=-2x2+2x+3   at 2,-1 Find the slope of the function.…

Q: Graph the function by making a table of coordinates. f(x) 2/3 II

A: We have to plot the function f(x) = 23x.

Q: Differentiate the function: y= x^3 - 2x

A:

Q: Determine where the function is concave upward and where it is concave downward. g(x) = -x² + 9x + 3

A: if second derivative is positive in any interval then f(x) has cancave upward  if second derivative…

Q: What is the domain of the function? Vx+2

A: Solution: The objective is to find the domain of the given function

Q: A toy company can make a doll worth 55 pesos for christmas season. If the production manager plans…

A: We will solve the problem

Q: The area of a rectangular floor is 1000 square feet. Express the perimeter of the floor, P, as a…

A: Let x be the width and y be the length of the rectangular floor. Given that the area of a…

Q: Differentiate the function, y = 4x² +5 + In (x + 1)

A: Differentiate the given function using the below formulas. ddxxn=nxn-1  ddxC=0        where C is a…

Q: The y-intercept of the function is

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Q: Find f'(x) when f(x) = (x+ + 3x)*. 43

A:

Q: The perimeter of a rectangle is 422 inches. If the rectangle is x inches long, find a function for…

A: Let us assume a rectangle with length x inches and breadth y inches.

Q: Find the zeros of the function.

A: Our Aim is to find the zeros of the function given below:-r(x)=-12x2-24  -(i)

Q: Use the graph of f(x) = x3 to write an equation for the function

A: the graph f(x) reflected over the y-axis and then moved 2 units left and 2 units down.  So new…

Q: Determine the function that would represent a rock that was thrown upwards at 16 feet per second…

A:

Q: Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

A:

Q: Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an…

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Q: Determine the equation of the function that is graphed. -2x

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Q: Given the function ,     y = 4x2 + 9 i- Find the difference quotient as a function of x and delta…

A: The difference quotient as a function of x and ∆x is: Difference quotient=f(x+∆x)-f(x)∆x The given…

Q: Differentiate the function. y = (x+2)(x² + 2x +1)

A:

Q: Use the graph of the function f(x) = 0.5x +1 to find the value of y when x = 4. *

A: Given :            f(x) =0.5x + 1        Let y = f(x) = 0.5x + 1 ...(1)    To find:…

Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

A:

Q: Determine where the function is convace upward   f(x)=-5x2-8x+5

A: A function is concave upward when it's second derivative is greater than zero. If the second…

Q: Is f(x)=4x-3 a one-to-one function?

A: That's easy. Have a good day!!!

Q: The total revenue for Fred's Estates LLC is given as the function R(x) = 100x - 0.4x2. where x is…

A:

Q: hat is the slope of the function f(x) =6x3 -7x +4 when x=1?

A: The function is given as f(x) =6x3 -7x +4

Q: Find the value of f(14) from the function.

A:

Q: Differentiate the function.

A: Given R(a)=3a+12

Q: Is y=2x+1 a function or not?

A:

Q: Find the equation of the angent line to f(x) = 5 – 3x at a = 4.

A:

Q: the perimeter of a rectangle is 190 inches, if the rectangle is x inches long, find the function for…

A:

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10

Q: Determine the slope of the function y = 2x^2 =- 3x + 1 from x = -3 to x = 4

A: Here we have to find the slope of given function on given points. The solution is following.

Q: Choose the graph of the function without using your calculator. Then, use your calculator to check…

A:

Q: For a long-distance phone call, the phone company charges $⁢0.70 for the first 8 minutes or less,…

A: The company charges a constant charge for phone calls if we are using phone calls for first 8…

Q: Express the altitude of a right triangle as a function of the base, if the hypotenuse is 20.

A:

Q: Is the function f(x) = x3 one-to-one?

A: Given: fx=x3 Horizontal line test: If no horizontal line intersects the graph of the function more…

Q: For function, find the point in the graph at which the tangent line has slope 9 Y= -0.025x^2+6x What…

A: The given function is:Y=-0.025x2+6xThe slope is 9

Q: The size of the raccoon population in a park increases  at 4.9%, with a current population at 119,…

A: To find the population of raccoons in 6 years.

Q: phf (x)3x² is translated 5 units down and 7 units to the left , what would be the equation of the…

A: Concep - left/Right ,graph sifted x axis   Up/Down - graph sifted y axis

Q: Find the slope of the graph of the function f (x) 4(5x + 6)² at x = 3.

A:

Q: Differentiate the function.

A: Given:y=1+xe-2x The formula of differentiation is  ddxxn=nxn-1 Use chain rule and product rule to…

Q: Give the slope and y-intercept for the graph of the function f(x) = 16 – 5(2 – 5x). %3D

A: Given,             The function is fx=16-52-5x.We know that,            The equation of the line in…

Q: Find the point of inflection of the graph of the function. f(x) = 2 – 7x4

A: Consider the given function y=fx=2-7x4 First, find the first derivative of the function…