Please answer the following questions about the function 4. f(z) = 2- 36 Instructions: If you are asked to find a function, enter a function. If you are asked to find a- or y-values, enter either a number, a list of numbers separated by commas, or one if there aren't any solutions. Use interval notation if you are asked to find an interval or union of intervals, and enter {} if the interval is empty Calculate the first derivative of f. Find the critical numbers of f, where it is increasing and decreasing, and its local extrema. (a) f'(x) = (b) Critical numbers z = (c) Increasing on the interval

Q: For −10≤x≤14 the function ff is defined by f(x)=x3(x+3)^4 On which two intervals is the function…

A:

Q: A high school sports team is ordering sports drinks online from a company. The price of sports…

A: For the orders of the drink 50 or fewer, the drink costs $0.80 each plus $10 shipping charges. For…

Q: Suppose f(x)=x4+3x+1f(x)=x4+3x+1. In this problem, we will show that ff has exactly one root (or…

A: Solution Given:-         fx=x4+3x+1         Interval -5, -1

Q: 7. For the function f (x)=(x-2)° +1, a. Sketch the graph of over the interval [0,3].

A:

Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

A:

Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: Answer the following questions for the function = x/x² +9 defined on the interval –7 < x < 7. f(x)…

A:

Q: Find all critical points for the function f (x) 2x3 + 9x² – 60x + 9. Separate multiple answers with…

A: As we know that: To calculate the critical points, the first derivative of the given function must…

Q: Answer the following questions for the function f(x) = x/x² + 4 defined on the interval -7 < x < 5.…

A:

Q: Answer the following questions for the function f(x) = xVx + 4 defined on the interval – 6 < x < 4.…

A: Given fx=xx2+4-6≤x≤4

Q: Answer the following questions for the function f(x) = - 8x°- 36x +240x - 11. a. Find formulas for…

A: derivative

Q: -2 if x 2

A: Given function is : fx=-2 , if x≤0x2 , if 0&lt;x&lt;2-x , if x≥2 To draw the graph .

Q: Answer the following questions for the function f(x)=x sqrt(x^2+36) defined on the interval -4≤x≤5.…

A:

Q: Answer the following questions for the function f(x) = xVx+ 25 defined on the interval -7 < a < 5.…

A: Given that the function is        f(x) = x√(x2+25)    , -7&lt;=x&lt;=5 .

Q: (i) Discuss the continuity of the function f(x) = {x2²− 3x        if x &lt; 2           2x + 4…

A: We are entitled to solve one question at a time, so I am providing solution for first question.…

Q: Find all critical points for the function f (x) = 10x² – 200x – 8. Separate multiple answers with a…

A: Given function is: f(x)=10x2-200x-8 for critical points, put f'(x)=0

Q: Use the given graph of f(x) = x² to find a number 6 such that if Ix - 1| < 8 then |x2 – 1| <. (Round…

A: Given: fx=x2 and graph of function as To find: The number δ such that if x-1&lt;δ then x2-1&lt;12.

Q: Answer the following questions for the function f(x)=x√√x² +9 defined on the interval -7 ≤ x ≤ 4.…

A: Concept: Concavity: Assume that f(x) is differentiable on interval I. If f′(x) is growing, the f(x)…

Q: Find the value of a that makes the following function differentiablefor all x-values

A:

Q: 5. Find all the zeroes of the function f(x) = - 0.5x? + 2.5 x +4.5 using False Position Method…

A:

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: Given:- The graph is given we have to find the absolute extrema.   Explanation:- An absolute…

Q: Answer the following questions for the function f(x) = x/x² + 36 defined on the interval – 7 < x <…

A:

Q: 1. Find the value of a that makes the following function differen- tiable for all x-values. Jax, if…

A: gx=ax,if x&lt;0x2-3x,if x≥0

Q: Find the maximum and minimum values of the function Z = 8X1 + 5X2, subject to the following: 3X1 –…

A:

Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

A:

Q: 2. Find the x-coordinate of the point(s) of discontinuity of the following functions -16 x3 16х — 4,…

A: For x&lt; 3 , f(x)= -16 is continuousFor 3&lt;x&lt;6 , f(x)=16x-4 is continuous tooFor x&gt;6 ,…

Q: Answer the following questions for the function f(x)=xsqrt(x^2+36) defined on the interval -4≤x≤5.…

A: solution is given below..

Q: The function J(x) 5x + 72 has one local minimum and one local maxim This function has a local…

A:

Q: Given the following function: y = x^4 - 8x^3 + 22x^2 - 24x + 2 on [0, 4], find the absolute extrema…

A: To find the absolute extrema of a continuous function on a closed interval [a, b]: Find all…

Q: For – 12 < x < 14 the function f is defined by f(x) = r'(x + 5)° On which two intervals is the…

A: Consider the provided question, Given, fx=x3x+52,    -12≤x≤14 We need to find the interval where…

Q: uestion 3 of 10, Step 2 of 3 4/26 Correct Sx² +x -7 if x 4 tep 2 of 3: Evaluate this function at x…

A: Check piecewise function according to value of X

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: Consider the following function. x2 + 2x + 2 2 x3 3 (a) Find y' = f '(x). f'(x) = (b) Find the…

A: Given: - The function is, y=x33+x22-2x+2 To find: - (a) The derivative of the given function. (b)…

Q: 4) Determine the following for the function 2x3 7x2 + 24x + 6: 3 f(x) = (i) intervals where f is…

A: Since you don't have mentioned which subpart, so according to Bartleby protocol I will be answering…

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line.…

A:

Q: Q1.Given: x2 - 4 when x 3 1.Find what values of ( a) and (b) that will make the function continuous…

A:

Q: Q2:Find all critical points of the function f(x)=(3x)/[(x^2)+9] Final answers should be ordered…

A: To evaluate the critical point of the following function  f(x) = 3xx2+9

Q: Find the intersections between the two given functions algebraically. Correct answers without…

A: The two given functions are, y=x2-4x+2y=2x+1

Q: Answer the following questions for the function f(x) = x/x² +1 defined on the interval – 6 < x < 4.…

A: We have to find intervals for concave up and concave down, inflection point and minimum, maximum.

Q: f() %3D х*е-2* In(x + 3) с.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Sir Glenn gave BET-CPET students the chance to write their observations based on the list of…

A: Topic = Functions B.Only four students' observations are correct.

Q: 2. Evaluate the function graphically. -4 -2 OI- -8 9- -2 9- 8- Find f(8)

A: Solution:- It is clear from above that the graph is parabola which is concave down. for finding the…

Q: Find the rule of the function associated with the following table. 1 3 y 1 4 9 Oy = x² y=x 1 | Oy…

A: As observed feom the graph, we have squared each of the quantity.

Q: Angelica is working with two function machines, g(z) = /z – 5 and h(z) = z² - 6. She wants to stack…

A:

Q: Answer the following questions for the function f(x) = xVx? + 25 defined on the interval - 4 < x <…

A: Function

Q: Answer the following questions for the function 2 f(x) = xVx +4 defined on the interval – 6 < x < 4.…

A:

Q: Answer the following questions for the function f(x) = x/x² + 25 defined on the interval – 5 < r <…

A:

Q: Find a value of the constant k, if possible, that will make the function continous everywhere if…

A: The objective is to find the value of k that will make the function continuous everywhere.

Q: Show that the following functions has a solution on the indicated intervals f(x)=x³ + 2x = x² + 1…

A: solution:- f(x)=x³+ 2x =x² + 1,      x∈ (0,1)f(x)=x³+ 2x -x² - 1=0Intermediate value theoremf(x) is…

Q: 1 The functionf is defined by f(x)= 2–Vx+ 5 for-5<x< 0. (i) Write down the range of f.

A: The objective of the question is find the range of the function f(x). And  solve the composition of…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.