00 00 00 00 D00:000- 00 00 00 Consider the following. B = {(5, 2, 8), (2, 1, 4), (-4, -2, -6)}, B' = {(-2, -12, -6), (1, 4, 2), (3, 12, 7)}, %3! %3D [x]g = 3 %3D (a) Find the transition matrix from B to B'. p-1- %3D (b) Find the transition matrix from B' to B. P = 11 (c) Verify that the two transition matrices are inverses of each other. PP-1 %3D (d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g. [x]B =

Q: Let f(x, y) = xe*- and P = (13, 169). Calculate || V f,||. (Express numbers in exact form. Use…

A: Given  fx,y=xex2-y, P13,169 We know that  ∇f=fxx,y,fyx,y∇f=2x2ex2-y+ex2-y,-xex2-y So, ∇fP=∇f13,169…

Q: 12. f(x) = 3x4 + 4x³ – 36x², on the intervals %3D (a) [-5,5] (b) [-2, 2] (c) (-3, 1] (d) (-1,3)

A: 12 fx=3x4+4x3-36x2 ⇒f'x=12x3+12x2-72x            =12xx2+x-6            =12xx2+3x-2x-6…

Q: Pr(A) = 0.5 Pr(B|A) = 0.2 Pr(B|A') = 0.8 Hence, fill in the tree diagram below: A B' В A' B' B

A:

Q: y y (x₁, y₁) f'(x₁) = ? ******** y = f(x) = ? (x₁, Yi) X y = f(x) ४ ✓ Choose... Ordinary…

A:

Q: -4x+6 for x<-1 f(x) = x² +2 for 1<x<4 for x24 Part 1 of 5 f (3) =| Part 2 of 5 f(-2) = Part 3 of 5…

A: see below the calculation

Q: The one-to-one functions g and h are defined as follows. g={(-8, – 1), (-3, 7), (1, 9), (9, –8)} | h…

A: A function f(x) is said to be one-to-one if for every value of x in domain there is a unique value…

Q: Find (f - g)(1). our answer (opens in new window) 8 = f = {(1, -2), (0, -1)} and {(5, 0), (1, -3),…

A: (f-g)(1)=f(1)-g(1)f=(1,-2),(0,-1)g=(5,0),(1,-3),2,-4)(-2,4)

Q: the domain of the function f(x) = 2x² - 8 is {-2,3,5}, then the range is 6. 1) {-16,4,92} 2)…

A:

Q: A table of the function values for f(x) and f'(x), and a graph of the piecewise linear Function g(x)…

A: Given that, A table of function values of f(x) and f'(x) and a graph of piecewise linear function…

Q: If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of…

A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: Define the term Proof of the Chain Rule?

A: Consider two differentiable functions fx and gx. According to the mean value theorem, there exist c…

Q: (0, 2) Given the graph of f (x) (-3, 0) (3, 0) -4 2 4 |(-2, 0) (1, 0)

A:

Q: Differentiate the function. y = In(In x) y' = %3D

A: Given y=ln(ln x)             y=ln(ln x).y'=ddx(ln (ln x))y'=1ln(x) . ddx(ln x)y'=1ln(x) . 1xy'=1x .…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.