a. Find the intervals OF concavi ty and the 'inflecti o of -g(x)=x"-12x².

Q: 4x² – 1 f(x) = 4. For which intervals is 2x2 – 3x – 2 continuous? What types of discontinuities are…

A: Given the function f(x) = 4x2-12x2-3x-2 To find the continuous on Intervals:- f(x) =…

Q: Let g(x)=5x Use small intervals to estimate g(1).

A: g(x)=5x g(1)= (5)(1)=5 g(1)=5

Q: Find the intervals in which the function f(x) = x4 – 8x3 – 5 is concave up/concave down. Also find…

A: From the given problem:   fx=y=x4-8x3-5   As we know that:   a). For concave upward f''x or…

Q: 1 Find the intervals of concavity y: x+3

A: Use the values where the second derivative is zero to set up intervals. Substitute a value into each…

Q: Q2/ Use the mid-ordinate rule with eight intervals, to evaluate 23sin² (x), correct to 3 decimal…

A: The mid-ordinate rule uses the midpoints of the subintervals to approximate an integral. The…

Q: Find the intervals where h(x) = x4 + 24x3 - 168x2 is concave up and concave down.

A: The given functions are,

Q: f (x)= 3X 9x-2

A: When the second derivative is positive, the function is concave upward.When the second derivative is…

Q: Determine the intervals on which the following function is continuous. x - 7x+ 10 f(x) = %3! 2 x -4

A: f is discontinus a point  if limit is not exit at that point.

Q: Determine the intervals of concavity and inflection points, if they exist, for 1 f(x)=; 1+x Use…

A: Given: f(x)=11+x2 We have to determine the intervals of concavity and inflection points, if they…

Q: Use the graph to identify the points on the interval [a, b] at which local and absolute extreme…

A:

Q: Determine the open intervals on which the graph is concave upward concave downward. (Enter your…

A:

Q: Find all intervals where f is decreasing.

A: Given,           f(x) =6x2 + 2x - 19

Q: 4. List the discontinuities for the function f(x) = cot(* :).

A: First write the given function into Numerator and denominator form and , to find the discontinuity…

Q: Given the function glx) = -, find the x-value that satisfies the Mean Value Theorem on the interval…

A:

Q: Find number k, so that f is continuous at every point. 3x+9, if x-6

A: Given,  fx = 3x+9   if   x<-6kx+6   if  x ≥ -6  fx is continuous at every point, then we have to…

Q: Find the length of the graph of f(x) = cosh(x) for 0<x< In(12).

A:

Q: Calculate Ls for on the interval

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Q: What are the intervals for which the following is continous? g(x) = esqrt(x) / x

A:

Q: 1.Use interval notation to determine f(x)

A: Concept: The graph of a function: The graph of a function is the set of all points (x,y) in the…

Q: Find the open intervals where ƒ is increasing or decreasing. ƒ(x) = -tan 2x

A: We know that, if f'(x)&gt;0 on an interval, then f is increasing on that interval. Also if…

Q: Find the largest open intervals where the function f(x) = O (-∞, -1), (-1, ∞) O (-∞, -1) none O…

A: We have to find the largest subset where function concave upward

Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

Q: Find all intervals on which f(x) is increasing. f(x) = x³ + 7x² + 15x + 45

A:

Q: Q1. Describe and diagram the intervals determined by the following inequali 1. -3 < x < 5 2. 2 <x<6…

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Q: 4. Find the intervals in which f (x) = x³ - 3 x + 1 is increasing or decreasing.

A:

Q: 6. In which of the following intervals is the function y = x + 3x2 increasing only? -3<x<-2 -3<x<0…

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Q: Determine the intervals on which f(x)=x3-2x2+5 in concave up or concave down

A:

Q: Find the intervals on which the graph of f is concave upward. f(x) = In (x² – 2x + 10)

A: f(x)= In(x2 - 2x + 10) To find the intervals on which the graph of f is concave upward.

Q: Find the intervals in which the function f(x)=2x* +8x -5 is concave up/concave down. Also, find the…

A: Given a function of x.

Q: Determine the (largest possible) intervals on which the function ƒ1x2= 2x2 - x4 (as shown) is…

A: according to given graph, given function is one-to-one in x∈-∞,∞

Q: Determine over what intervals f(x) &gt; g(x)

A: Given the graph of two functions f(x) and g(x). Here f(x) is a parabola and g(x) is a line.

Q: Determine the intervals where the function f(x)=x*-2x +3 is concave up and concave down. Indicate…

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Q: 10) Find the open intervals on which the function is NOT increasing y = x/50 – x²

A:

Q: Find the intervals in which the function f(x)= 2x* +8x -5 is concave up/concave down. Also, find the…

A: inflection points of y=2x4+8x3-5

Q: 7. Find the intervals of concavity for the function and state the points of inflection.

A:

Q: Find the selutim and define the interval at which Junc fion is depme

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Q: Determine the open intervals on which the graph is concave upward or concave downward. y = -x + 9x2…

A:

Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

A:

Q: +4イ find the cyitical Points of fCks and the intervals on which the function is increasing de…

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Q: Determine the intervals on which the following function is continuous. x2 - 3x +2 f(x) = x2 - 1

A:

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: fx=exe2x+1 Differentiating with respect to x, we get f'x=dexdx·e2x+1-de2x+1dx·exe2x+12…

Q: On which of the following intervals is f(x) А. (2, +) В.[1, 2] C. [2, +∞) D. (-30, +∞) continuous?

A: We will solve the problem

Q: To combine intervals, you can enter "U" for

A: Given,

Q: On which of the following intervals is f(x)=x"-100x+x -10 concave up?

A:

Q: Given the function f(x) = -x – 8x3 - 18x² , determine all intervals on which f s both increasing and…

A: For a function f(x) to increase in an interval at each point the condition is : f'(x) &gt; 0.

Q: Find all intervals where ƒ(x) = x4 - 8x3 + 18x2 is concave upward or downward, and find all…

A: Given: f(x)=x4-8x3+18x2

Q: Let f (x) = 2ex − 4xWhat intervals is the function increasing and decreasing?

A: