-1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

A:

Q: x2-8 If fx)= X-4 where is f not differentiable?

A: Given the function

Q: If f(x) = Jx-3 then f(-3) + f(12) is

A: We can make it easier for you

Q: (-x -2 -2SXS-1 -1<xS1 1<xS2 find f(1). f(-1). f(1.5), f(-1.5). ff(0.5)) (-x+2

A: We  have given  fx=-x-2      -2≤x≤-1x                  -1&lt;x≤1-x+2       1&lt;x≤2

Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: If f(x) = (x² +2) e², what is f'(x)?

A:

Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

A:

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

A:

Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

A:

Q: Graph the function

A:

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: 2. Given that f(x) = 2x + 2 and g(x)= find fg 2+x2

A: Given:  fx=2x+2gx=-x2+x2 To Find:  fggfg1=?

Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

A:

Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: x- 2 if xS-2 2 1. Sketch: f(x) = - 2 2

A:

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

A:

Q: 17. If f(x - 1)+ 2/(1 — х) %3 3х, what is f(x)? А) -Зх + 1 В) х—3 С) -х +3 D) -3x – 1 |

A:

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: Let k(x)=f(x)g(x)h(x). If f(x)=3x−2,g(x)=2x−3, and h(x)=−2x2+4x, what is k′(1)?

A:

Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

A:

Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: I need help with number 21

A:

Q: The function f(x) =is 1-z2 Is 9+z2

A:

Q: - Ix - 0l (i) f(x, θ) = - 2 (-∞<x<∞) 1 f (x, 6) = 5 -(x-6), 0 <x < 8, -8mθ<o. (ii)

A:

Q: . What is F(/3) if C = 0?

A:

Q: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →

A:

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

A:

Q: Find (f - g)(x) if f(z) = 5z + 1 g(z) = 4x- 2

A:

Q: х - 2, for xS -3, f(x) = - 3, for - 3<x<1, 4х, for x2 1

A: Given,

Q: Express the follo lowest form +4 a 2 1-3x S+x

A:

Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

A:

Q: (e2* ) In(3x+2) Vx' - x -1 Determine f '(x) if f(x)= DO NOT SIMPLIFY!

A:

Q: 7. Given f(x) = x² – 5x ,

A:

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

A:

Q: f(x)=x^4-x^3-12x^2

A:

Q: a. Ak x+2, y=x→_ b. As x→2, y =-x →_ 6. As x → 2. y =x'+ 3x² →. d. As x→-0, y =-3x² →. e. As x→2, y…

A: answer of given question is in step 2

Q: 3x f"(x) = -- (x2 + 1)2

A: Consider the given second derivative.

Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

A:

Q: 5. P(x) = -3x- x³ + x² + x - 10 F(x) = 2x + x- 3x2 - 6 F(x) = x-x- x- 1

A: To find the number of zeroes and variations of polynomials.  According to our company's guidelines I…

Q: 4) f(x) = ! g(x) – - - - 3

A:

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: .If f (x) = 5x - 2, g (x) = 2x - 3 and h (x) = x2, then (fogoh) (-1) =

A:

Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2

A: Domain  set of all input values where function defined

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.