Which statement about fx) = 1000(1.3)* is true? ) The instantaneous rate of change is the same for all values of x ) The instantaneous rate of change is positive for all values of x ) The instantaneous rate of change is 0 for some value of x ) The instantaneous rate of change is negative for all values of x

Q: find the range of the following function f(x) = -2sin((x/2) - (pi/3)) + 5 ANSWER CHOICES a)…

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Q: 6 fla) 【うt+1} tx4)

A: given,        fx=3x4+1x3+4

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE 11. The graph of the DERIVATIVE f' of a function f is…

A: i) We know that f is increasing or decreasing when f' > 0 or f' < 0 respectively.   From the…

Q: 3. If y x- 15x', find; x– 15x², find: a) Intervals of increase/decrease.

A: We’ll answer the 3rd question since we answer only one question at a time. Please submit a new…

Q: If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the…

A: This is a problem related to average and instantaneous rate of change of the function. Based on the…

Q: Prove or Disprove: The set A = {e^x : x × R} is uncountable, where R is the set of real numbers.

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Q: Use calculus techniques and algebra to analyze and sketch the graph of 4 ƒ ( x) = x³+x+ ÷. X A)…

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

Q: 8 Use right endpoints and 3 intervals to estimate S dx. 2

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Q: FX)=\X

A: Given:fx=x2-9

Q: 28/8<y+9/4<35/8  what is the interval notation

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Q: > If |f(x)dx=0, then f(x) =0 over the interval 0<x<1. This statement is

A: Explanation of the answer is as follows

Q: A continuous function has a derivative at every point in a given interval. True or False?

A: function is differentiable means that function is continuous as well as smooth at every point of…

Q: Determine whether each of these functions from Z to Z is one-to-one. a) f(n)=n−1 b)  f(n)…

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Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

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Q: a) f "(1) si f(x) = -3x² - 5x+7 b) f(4) si f(x) = x² + x² −x³

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Q: Show that there is a correspondence between the two intervals [0, 1) and [0,1].

A: Given interval 0≤x&lt;1 is a subset of  0≤x≤1. In this situation ,there is an obvious injective…

Q: 3) Use the definition of the derivative (which involves limits) to calculate f'(2) given that f(x) =…

A: The function is given by fx = x-22+5 To evaluate: The value of f'2. Formula Used: The value of  f'a…

Q: In a sentence or two, explain how to find the x coordinates of critical points of a function f if…

A: We have to  explain how to find the x coordinates of critical points of a function f if we have…

Q: 3) A researcher has collected population data along with time. Afler comparing the populations from…

A: Solution is given below

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.