Find a cubic function y = ax3 + bx2 + cx + d whose graph has...

Find a cubic function y = ax3 + bx2 + cx + d whose graph has horizontal tangents at the points (−2, 8) and (2, 2).

Find an equation of the normal line to the parabola y = x² − 8x + 7 that is parallel to the line x − 2y = 2.

Expert Solution

milcah answered 2 years ago

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given conditions. Relative maximum: (3, 21) Relative minimum: (5, 19) Inflection point: (4, 20)

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given conditions. Relative maximum: (3, 12) Relative minimum: (5, 10) Inflection point: (4, 11) a= b= c= d=

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given conditions. Relative maximum: (3, 9) Relative minimum: (5, 7) Inflection point: (4, 8) a = b = c = d =

Find a polynomial of the form f(x) = ax3 + bx2 + cx + d such...

Find a polynomial of the form f(x) = ax3 + bx2 + cx + d such that f(0) = −3, f(1) = 2, f(3) = 5, and f(4) = 0. (A graphing calculator is recommended.) answer in fraction form.

Suppose it is known that the graph of the function y = ax3 + bx2 + cx + d passes through four given points (xi, yi ),

Suppose it is known that the graph of the function y = ax3 + bx2 + cx + d passes through four given points (xi, yi ), i = 1, 2, 3, 4. Write a userdefined function that accepts these four points as input and computes the coefficients a, b, c, and d. The function should solve four linear equations in terms of the four unknowns a, b, c, and d. Test your function for the case where (xi ,...

Given a general cubic function y = ax^3 + bx^2 + cx + d prove the...

Given a general cubic function y = ax^3 + bx^2 + cx + d prove the following, a) That a cubic must change at a quadratic rate. I believe this to be the derivative of the general cubic function, yielding dy/dx = 3ax^2 + 3bx + c b) That there are only 6 basic forms (shapes) for a cubic. This question is where I get lost. Please help, Thanks!

1. Consider the cubic function f ( x ) = ax^3 + bx^2 + cx +...

1. Consider the cubic function f ( x ) = ax^3 + bx^2 + cx + d where a ≠ 0. Show that f can have zero, one, or two critical numbers and give an example of each case. 2. Use Rolle's Theorem to prove that if f ′ ( x ) = 0 for all xin an interval ( a , b ), then f is constant on ( a , b ). 3.True or False. The product of...

graph the function A. Show steps how you find the domain, the x and y-intercepts, the...

graph the function A. Show steps how you find the domain, the x and y-intercepts, the horizontal and vertical asymptotes, the intervals of increasing and decreasing, the relative extrema, the intervals of concave up and down, all critical points, all inflection points, and any test points you use. then graph function A= 1-X/e^- X

Find the cubic equation: f(x) = ax^3+bx^2+cx+d for which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7. Find the...

Find the cubic equation: f(x) = ax^3+bx^2+cx+d for which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7. Find the value of a, b, c, and d

Find the value of k such that the graph of y = f(x) has no vertical...

Find the value of k such that the graph of y = f(x) has no vertical asymptote given by x = 2 where f(x) = (4x 3 − 4x 2 + kx + 14)/ 4x 2 − 12x + 8 . Then find all the intercepts, asymptotes, local extreme values, points of inflection, monotonicity intervals, concavity intervals. Finally sketch the graph of y = f(x).

Question

Find a cubic function y = ax3 + bx2 + cx + d whose graph has...

Solutions

Expert Solution

Related Solutions

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...

Find a polynomial of the form f(x) = ax3 + bx2 + cx + d such...

Suppose it is known that the graph of the function y = ax3 + bx2 + cx + d passes through four given points (xi, yi ),

Given a general cubic function y = ax^3 + bx^2 + cx + d prove the...

1. Consider the cubic function f ( x ) = ax^3 + bx^2 + cx +...

graph the function A. Show steps how you find the domain, the x and y-intercepts, the...

Find the cubic equation: f(x) = ax^3+bx^2+cx+d for which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7. Find the...

Find the value of k such that the graph of y = f(x) has no vertical...