8 tet f(x) = x* + 4x³ – 18x² + 17. Find analytically by hand, showing work, the intervals where f is concave upward and where it is concave downward; find the locations of any points of inflection.

Q: y=8x-x³ 12) Where is the function concave down?

A:

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

A:

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

A:

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

A:

Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

A:

Q: -2-1 5 HA 4 у 3- 2 1 1 2 3 4 5 6 7 2 8 9 10 K

A:

Q: Calculate R4 (right endpoints) and L4 (left endpoints) for f(x) = 8x2 + 2x + 1 on (0, 2]-

A:

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: Estimate L4 and R4 and over [0,7] for the function f(x) = 7x2

A: We have to estimate L4 and R4 in the interval 0,7 for the function: fx=7x2 L4 and R4 denote the left…

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A:

Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

Q: 15 (²) and (6) Let f(x) = 6 + 5x². Find f ‚ƒ(1) . Are they equal? *ƒ(6)*

A: Given: f(x)=6+5x2 . . . .(1) To find: f16, f(1)f(6) and to check if f16 and f(1)f(6) are equal or…

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.