{X> 3} fX | {X> 3} (

Q: 0.2[5(x-1)-4] <0.8(x+1)

A:

Q: What are the global max and min over the interval x E [0, 0) for the graph of f(x) f(x) = (X e)-3x

A:

Q: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: 4

A:

Q: Q1) B) Use the Polynomial interpolation formula to compute f (2) from the experimental data shown in…

A:

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

A:

Q: 1. Sketch a So when X 3 and f(x)>0 when quartic function for y = f(x) such that -4<x<-1 or -1<x<3

A: Kindly see attached photo for your guidance.

Q: C) Find S x²e¬x dx

A: Integration by parts formula:

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

A:

Q: 1) What values should be assigned to c and d to make the function continuous every where 3. – 1 f(x)…

A:

Q: 4. Determine the constant m such that f(x) = {x2 + m, if x ≥ 3…

A: Given that: f(x)=x2+m, if x≥32x-m, if x&lt;3

Q: and find If f and g are continuous functions with [3f(x)dx = 36 [*5g(x)dx = -21, [*{3g(x) – 4ƒ (x) —…

A: f and g are continuous function

Q: 8. If Ax) = 2x* + 7x, g(x) = 3x -1 and h(x) = x + 1. Find the value of the given expressions: a.)…

A: We will find the expressions using the values of functions f , g and h

Q: H.W.4: Find f(3) (4) if f«) = /x

A: Given,            fx=xTo find : Determine f34.

Q: Q.4 A/ Prove the function continuous at x = -2, (x2 + 5 13-3x where %3D if x<-2 if x 2-2 f(x) = %3D

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.