A soccer ball is kicked from the ground in an arc defined by the function, h(x) = -4x2 + 16x. At what point does the ball hit the ground? (0,4) (8,0) (0,8) (4,0)

Q: Determine the domain and range of the quadratic function. Enter your answer in interval notation. To…

A:

Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

Q: An object attached to a spring oscillates around a position and is represented by the function…

A: Object is attached with a string and it's oscillating. It's height is represented by an equation…

Q: i. Find the equation of a power function through the points (2, ) and (, 8). ii. Now, find the…

A: i) To find a power function through points 2,18 & 14,8. The power function is given by: y=axb

Q: What is the equation of the line passing through the vertices of the graphs of the functions f(x) =…

A:

Q: Find the X value of the pints of inflection on F(x) = X3-6X2+12X and discuss the concavity of the…

A:

Q: The graph of f is perpendicular to the line whose equation is 4x - y - 6 = 0 and has the same…

A:

Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A:

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+6) at (2,8). The equation of…

A: This question is based on application of derivative to find slope of tangent line.

Q: The profit for a product can be described by the function P(x)=202x-5500-x^2 dollars, where x is the…

A:

Q: Determine the roots of the function f(x) = (5²x – 6)² – (5²× – 6) – 12. - -

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Givenfx=3x4−18x3+x−7

Q: A user is charged P200.00 for an unlimited internet connection for 5 days. Additional P15.00 will be…

A: The objective is to write the piecewise function.

Q: Using the second derivative test, find whether the function: x^3-9x^2-48x+52, has a local minimum or…

A:

Q: etermine the equation of the function shown in the graph. y 1125 ( 256) -2\-18. 3 1 (-1,-32)

A:

Q: Two students were playing the same game. The difference in points that each scored for the game can…

A: answer : 3.592 seconds y = 5sinx+3sinxcosx and y = -1 -1 = 5sinx+1.5sin2x therefore x = 3.592

Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x+13 where x…

A: The function P(x) of a company selling x items is Px=x3+9x2-15x+13

Q: Solve f(-2) for f(x) = -5x-4 %3D f(-2) = [?]

A: Given f(x)=-5x-4 To find f(-2) Substitute -2 for x

Q: List the intervals of increasing and decreasing for f(x)=10x²–37x +189. List all local maximums and…

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A:

Q: Exercises 38–40 will help you prepare for the material covered in the first section of the next…

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

Q: Graph and label 2 points for eac 53.) f(x) =2 (x+2 if x< if x20 %3D

A: The given function is f(x)=x+2if x&lt;02x≥0   To graph: The given function f(x) and label any two…

Q: Determine the absolute maximum of f(x) = 2x3 - 5x2 - 16x + 6 on the interval [-2,3]

A:

Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…

A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…

Q: The domain of the function f(æ) = v9-a is OR-{-81,81} OR-{-7,11} O R-{-9} OR O R- {9}

A:

Q: Can a quadratic function have a range of (- ∞, ∞)? Justify your answer (Please dumb it down)

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: To find the concavity intervals, double differentiate the function f(x)…

Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

A: Linear programming, graphical method

Q: function

A: We will solve the problem.

Q: for the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A:

Q: The graph of y=f(x)= ^3 √x -9 is horizontally stretched away from the y-axis by a factor of 3 to…

A: Given: y=f(x)=x3-9 To determine: Equation of new function when the graph is horizontally stretched…

Q: Explain why the function f(x) = x³ – 3x2 +1 must have an absolute maximum and absolute minimum value…

A:

Q: Date ! الموافق find the equatlon F(X) 4x + 6 X- 6x -5 ab 2 2 F(X)_4x?

A: The given function is:f(x)=4x2+6x2-6x-5To find the equation of tangent line at x=-6

Q: Two students were playing the same game. The difference in points that each scored for the game can…

A:

Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

A:

Q: What is the range of the function f(x) = 2x + 4 when the domain is {-2, 0, 3}

A:

Q: Can a quadratic function have a range of (- ∞,   ∞)? Justify the answer

A:

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: 2(メy)=16-x-, R: %3D and y=4X- 2

A:

Q: Find the oblique asymptote. 7 - x3 f(x) = 2x2 7-x3 2x2 y =

A:

Q: Optimize the function 81x2+y2 subject to 4x2+y2=9

A: here we Optimize the function 81x2+y2 subject to 4x2+y2=9  F(x,y)= 81x2+y2  g(x,y) = 4x2+y2=9

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = /x+ 5 --

A:

Q: positive root of  x3  -x-3 = 0 ,

A: Function is fx=x3-x-3 Positive roots of fx=x3-x-3 by graphing method

Q: The total profit (in tens of dollars) from the sale of x hundred boxes of candy is given by P ( x )…

A:

Q: A manufacturer finds that the profit obtained by selling x units of a certain product is given by…

A: Given that the profit function of selling x units of a product is given by Px=-0.2x2+400x-2500. It…

Q: Find f(-3) whenf (x) = 2x2 +2

A: Solution of the problem as follows

Q: Can a quadratic function have a range of ( - ∞, ∞)? Justify your answer.

A: we have to justify the given statement   The given statement is can a quadratic function have a…