Which of the following is equivalent to - (Va (P (x) VQ (xP)) Fr (GP (r) A-0 (r

Q: (f – 8)(x) : ||

A: we have  let f and g be two functions and x is the domain of both functions,then…

Q: Let f(x) = 4x+ 1 and g(x)= 2x-2. Evaluate (fo g)(0). (fo g)(0) = (Simplify your answer.) %3D

A: (1). From the given function: fx=4x+1 ; gx=2x2-2 First, we have to find fog(x). So,…

Q: Suppose f (x): f(x) dr Evaluate: -4 (A) - In (4) B В 3 16 D In (4)

A:

Q: Find f(t) if 40 F(s) = (s2 + 4s + 5)

A: Inverse Laplace transform

Q: For f (x1, x2, 3) = IIM (3, 4, 6, 7), which would be the best approach to simplify, SOP or POS?…

A: The expression  .SOP: Sum of the product of terms.POS: Product of sum of terms.

Q: a). find f o g b.) find g o f

A: Given that : The equation of the functions f(x) = 1x2+ 4  and g(x) = x - 2 .

Q: (c) [ √4x² X -dx

A: The given integration is

Q: f(x) — 3(8х- х?)/256 for 0<x. Determine P(2<X<4)

A: It is given that,

Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

A:

Q: TT f(c)dc)+ =xtan"(x) 4

A:

Q: Given that f(x)= 2x + 1, find (f o f)(-3).

A:

Q: Guen F(x)= 4sin? (x), write the equaton ok the live tanjut to y=F(x). when x= 7r %3D 4.

A:

Q: Suppose f(x) = (-) Evaluate: /(x) dr (A) +C 3. In (5) 3x 3. B +C In (5) · In (5) +C 3x · In (5) +C

A:

Q: Suppose f f (x) da = 8 and f g (x) da = -3. 3 Evaluate f (-4 f (x) + 2 g (x)) dz. 3

A: Using integral property,

Q: b) Is f x(x² + 1)dx = ( + x) + C true or false? show me

A:

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: QLa f R R be given by f(x)=+3 Find (a){x: (x)=28} (8)The pre-image of 39 and 2 under f.

A: The given function is- fx=x2+3 Putting fx=28, 28=x2+3x2=25x=-5,5

Q: If L-[F(s)] = f(t), evaluate f(0) given by the expression F(s) : (s+2) %3D s2 (s+1)'

A: Solution

Q: Find Df,Rf/f(x). X 3 √x + √ X

A:

Q: Given that f(x) = 2x+ 1, find (f o f)(-3). (fo f)(-3)= (Simplify your answer.) %3D

A:

Q: 4. Find f(x), given: f"(x)=12x² – 18x, f(-1) = 6, f(2) = 3

A: Topic - function and integration

Q: Write f (t) = 5(7)t in the form f (t) = P0ekt for some P0 and k.

A:

Q: et f(X) = X³ – X² + X – 6. Do the following. (a) Find Galo(f(X)). (b) Let F = Q(/11i). Find…

A:

Q: Suppose f (x) =- E. Evaluate: |x+1 f(x)dr

A:

Q: 5 Evaluate [ (x + 2)(x² - 1) dx

A: Solution:Given   let      I=∫25(x+2)(x2-1)dxFormula:∫xndx=xn+1n+1+C

Q: If f(x) is defined as: 6x² + 2x, 1< x<2 f(x) = 2, 2 <x<4 then, f(x)dx = 21. Select one: O True O…

A: We have to solve the given integral .

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.