. An object is projected upwards with a velocity on 96 feet per second from a height of 7 feet above the ground is modelled by the function h(t) = -16t? +96t +7.

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

Q: Here is a quadratic function I made for review: f(x)= x^2 + 4x - 6 What are the x and y…

A: Given Function :

Q: From a 27-cm by 27-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A: From a 27 cm by 27 cm piece of cardboard, square corners are cut out so that the sides can be folded…

Q: The deeper you are under water; the less sunlight reaches you. The percent of sunlight, P, that…

A: We will modern the following question by the function in next step.

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A:

Q: If the position function of a moving object is 5(t) t-3t +2 meters from zero in t seconds, then

A: Consider the position of a particle is given by the function x(t). The average velocity of the…

Q: Find the slope of the secant line between x=−2 and x=3 on the graph of the function f(x)=−2x2 −5x+1.

A: The point on the graph when x =-2 is given by plugging x=-2 in the function:Hence, the point on the…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

A:

Q: If the sales per day of a start-up company can be modeled using the function s(d) = d° + 10, what is…

A:

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: The given equation is y=x4+3x3-2x-2, x=-3. Find the slope of the line tangent to the graph of the…

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 6, (15,…

A:

Q: Find the equation of the line tangent to the graph of f(x)=5x^{3}+6x^{2}-6x-3

A: This question is related to functions, We will solve it using given information.

Q: Consider the function y = 1 2r2

A: To find: The horizontal and vertical asymptotes of fx. Given: The function is fx=2xx2-1. Concept…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Determine where the graph of the function is concave upward and where it is concave downward.…

A: The graph is shown below:

Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

A:

Q: The height (in feet) of a stone thrown upward on another planet is given by the function f (t) =…

A:

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: Find an equation of the line tangent to the graph of f(x)=4/x at (-8,-1/2)

A: Given: fx=4x  , -8,-12 Formula Used: Equation of tangent line is given by y-y1=f'x1x-x1

Q: Determine the quadratic function of the form f(x) = a(x – h)² + k whose graph is given on the right.…

A: Consider quadratic function of the form               f(x) = a(x-h)² + k

Q: Find an equation for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 7x2 – 4x – 3 at z = -5.

A:

Q: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: Find the equation of the line tangent to the graph of f(x) = 4x + 5x? – 4x – 3 at a = -7

A:

Q: Find the points on the graph of the function f that are closest to the point (a, b) by minimizing…

A:

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

A:

Q: What is the equation of the function for a parabola that moves 2 units to the right of the origin, 2…

A: Given parent function is f(x)=x2

Q: Find the equation for a radical function.in the form y = avx-h+k with intercepts of G.0) and (0,-1).

A: Consider the intercept points, 54,0    and    0,-1

Q: This is what I have so far but it says I am missing something.

A:

Q: Find the equation of the line tangent to the graph of f(a) 3a+ 2a - 7 - 4 at

A: given…

Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

A:

Q: Find the equation of the line tangent to the graph of the function at the indicated point f(x) = x?…

A: Given curve :

Q: Find the slope of the secant line between x=3 and x=5 on the graph of the function f(x)=−2x^2+2x+5.

A:

Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…

A:

Q: Who would you algebraically find the two equations for this radical function?

A: The standard form of a the given radical function can be written as follows:

Q: For which values of x does the graph of  f(x) = 8x3 - 12x2 - 24 have a horizontal tangent? Enter…

A:

Q: The height, h, of a projectile above the ground t seconds after liftoff is given by the function,…

A: The height is given as :- h(t)=-3t2+72t   for 0≤t≤24 Time when the projectile reach its maximum…

Q: Find the equation of the line tangent to the graph of f(x) = 3 - 2x at x = 3. Provide your answer…

A: The given curve is fx=3-2x and point is x=3 The slope of tangent on a curve f(x) at x=a is given by,…

Q: The height of the corn stock in inches over the first eight weeks of growth could be roughly model…

A: The height of the corn stock in inches over the first eight weeks of growth could be roughly model…

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

A:

Q: Write the equation of the line tangent to the graph of f (x) = -3x² + 5x + 1 at x = 1 and use it to…

A: We have to find the tangent line equation and also we have to approximate f(1.2).

Q: At what point (x, y) is the function f(x) = 6x - 6 closest to the origin? Enter an exact answer.…

A:

Q: Express the area A of a right triangle as a function of the height h if the base of the triangle is…

A: