Given the function: f(x) = 4x – tan x; (-5 a. What are the critical points of f(x)? a). b. Determine the intervals where fis increasing or decreasing b). c. Determine the intervals where is fis concave up/concave down and any points of inflection c). d. Identify the Local Max, Local Min, Absolute Min, Absolute Max. (if any) d).

Q: Based on the graph of g"(x) pictured above, how many points of inflection exist for the twice…

A: As we know The inflection point exists when  and conavity changes  of function

Q: 4 For what value(s) of x is the function f(x) 2x? - 6х NOT continuous? A. x = 0 and x = 3 B. x = 3…

A: To find- For what value(s) of x is the function fx = 42x2 - 6x NOT continuous? x = 0 and x = 3 x =…

Q: Find all the numbers for which f(x)20 if ƒ(x)= x* +2.x² +x² – 2x – 2. a. x>1. b. 지2-1. c. -1<x<1. d.…

A: First, draw the graph of f(x)=x4+2x3+x2-2x-2 . If the graph of f(x) is above the X-axis for the…

Q: Find the critical numbers of f. Use and show the 1st Derivative Test to find the local maximum and…

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Q: 05. What is the positive interval for y =l-3x - 6| + 2? A. (-∞, –2) B. (-2, +∞) C. (-∞, +∞) D.…

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Q: 7. Find all inflection points for y=-2xe-x²/2, and determine the intervals where the function is…

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Q: 13. For f(x) = -x³ + 3x² + 9x, find the followings. a) Find f'(x) and the critical points. b)…

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Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

A:

Q: A survey made in one school obtained the next results: 86 students train football, 40 students train…

A: It is given that the survey was made for the three sports, namely, the football, the basketball and…

Q: 3 Define the Sunctions are which the followir range continnons On

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Q: 8.) Consider the function below. 20 45 X: 10 f(x): 25 a.) Find the rate of change from x = 20 to x =…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the following.   x1  −  2x2  +  3x3  =  3 −x1  +  3x2  −  x3  =  2 2x1  −  5x2  +  5x3  =…

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Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G =&gt; ∇ x (F - G) = 0

Q: The function f graphed here consists of two straight line segments and two quarter circles. Find…

A: Consider the equation

Q: 11. Use the Vertical Line Test to determine if y is a function of x. 10- X gio 3:22 SOS

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Q: 2. Use Calculus to determine i) critical points, ii) local extrema, iii) inflection points, and iv)…

A: To Determine :-  Find  Critical points  , Inflection points , local extrema and intervals .

Q: 1. Let f (x, y) = 3+ /1+x – y² a. Find f(0,0) b. Find the range of f. c. Find and sketch the domain…

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Q: Consider the function ?(?) = ?"#!"#" a. Calculate and draw a sign diagram for the first derivative.…

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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.