An object attached to a spring oscillates around a position and is represented by the function y=2cos⁡(2π(x−0.02)), with time in xseconds. When does a height of 1 foot occur on the interval 0

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

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Q: Find the local and absolute extremum for the functions over their domain: x²+2x-3 4. f(x) : x-2 ||

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Q: 15. Find the interval on which f(x) = x³ – 3x² – 144x – 140 is concave up and the interval on which…

A: Point of inflection is a  point where 2nd derivative of a function is 0.

Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: Find all points on the graph of ​f(x)=8x^2−26x+21.   where the slope of the tangent line is 0. The​…

A: Given : f(x) = 8x^2-26x+21 Find: All points where The slope tangent line is zero. We know tha slope…

Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

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Q: Find the absolute extrema of the function on the closed interval. 5x f(x) [-5, 5] x2 + 16

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Q: Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 f(æ) = 6x – k x <4

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Q: Find the local and absolute extremum for the functions over their domain: 5. f(x) = vx2 + 8x + 20

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Q: Find the local and absolute extremum for the functions over their domain: 1. f(x) = x2 – 6x + 8

A: Given

Q: Given the function f(x) =4x³– 39x²+90x +2, which of the following describes its absolute extrema at…

A: Given that, The function is following, f(x) = 4x3 - 39x2 + 90x + 2 We have to find the absolute…

Q: Determine whether the function f(x)= 2x³-3x²-36x+49 is increasing or decreasing at x=5 and x=3. Also…

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Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

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Q: Find the critical numbers and open intervals on which the given function is increasing and/or…

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Q: 8. Find the absolute extrema of f(x) = 6x + 4 + on the closed interval [1, 6].

A: Given : The function is f(x) = 6x + 4 +24x and the closed interval [ 1, 6 ].

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options. Given: The function is g(x)=x3-4x+1 and the line tangent to the…

Q: Obtain the ROOT of the f(x)=x²-2e-×+e-2x function using

A: b. Newton Rapshon method  fx=x2-2e-x+e-2x f'x=2x+2e-x-2e-2x , x0=4 1st iteration…

Q: #30) tind the critical mumbers of the function. f(x)=x² +6x² - 15.

A: Derivative the function and then equate to 0 find the values of x

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

Q: Find the x-coordinates of all points where the graph of f(x) = 2x^3+9x^2-168x+21 has a horizontal…

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Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: At which point does f(x)=2sinx-cos the maximum value over the interval [0.2 * pi]? 2x have an…

A: f(x)=2sin(x)-cos2(x) f'(x)=2cos(x)+2sin2(x) Now to find the critical number, f'(x)=0

Q: 4. Find the intervals in which the function f(x) =x³ – 6x2 +9x +30 is concave up/concave down. Also…

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Q: 6. Find the absolute extrema of the function f (x) = 7x² + 1 on the closed interval [-1,2].

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: Graph the tangent line to the function f(x)=3x^2+4x−4 at the point where x=−1. Place point A at the…

A: Given curve

Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

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Q: (A) Find the absolute maxima and minima for y 4x +1 over 3 - [-V5, V5]. (B) Use the second…

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Q: The absolute max for the function f(x)=x2 – 2x+1 on the interval [-2, 3] occurs at : Select one: а.…

A: Given function is  f(x)=x^2-2x+1

Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: Find the roots of f (x) = x4 − 4x2 and sketch its graph. On which intervals is f decreasing?

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Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: What is the domain of g(x)=ln(25x-x^2) Show all the work.

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Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Graph the function y =x + 1                                      x2+1 by applying the first and…

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Q: 1) Find the absolute extremum values of f(x) = x2 – 4x + 18 over the interval [1, 4]. [2 marks]

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Q: Given the function g(x) 6x + 63x² + 216x, find the first derivative, g'(x). = (x),6 Notice that…

A: We use second derivative test to determine the local Maxima and minima

Q: Find the absolute extreme values of f(x) = 2x3 - 6x +3 on the interval [0, 3]. |

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Q: Find the smallest positive root for the given function by using the false position method with…

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Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: Find the local and absolute extremum for the functions over their domain: 2. f(x) = x3 + 4x2 – 11x –…

A: Given function is  f(x)=x3+4x2-11x-2

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: 7, The inflection points of the function f(x)%= 글어 -금 + 12-음 ocurs at OCcurs at: ||

A: