15. A sequence of two different digits is randomly chosen from the digits 0–4; the digit is larger than the second. ANSWER I S= {01, 02, 03, 04, 10, 12, 13, 14, 20, 21, 23, 24, 30, 31, 32, 34, 40, 41, 42, ; Е 3 {10, 20, 21, 30, 31, 32, 40, 41, 42, 43}

Q: Hew. O find the root of PW=R-1)e_1 sush that I f cast < Ix 65 , we NiP.M.

A:

Q: 1. Find the distance between P and Q. P(−4, 12); Q(−12, 4)

A: Explained below

Q: Find real numbers x and y such that ty 2 2 - i i+3 1 +1

A:

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

A:

Q: 2 1) 3

A:

Q: .) If w varies directly as x^2 and inversely as y^3 and w= 3/4, when x = 6 and y = 2, find x when w…

A: Given that w varies directly as x2. w∝x2 And w varies inversely as y3. w∝1y3 This implies that…

Q: Haw:2 ExPress the Sumef the Vectars Aß and E ,if ACl,-), B (2,0)_, C(-1,)_ and D(-2,2).

A: Here is the solution

Q: Let x be the r.v Such that ECx)=D2 ECx)=2a %3D [2+Qx}?) =2a3 %3D Findthe Value of a

A:

Q: Use DeMoirve's Theorem to find: (1– iv3)2

A: We first try to express 1-i3 using polar form.r=12+(-3)2=1+3=4=2θ=tan-1yx=tan-1-31=tan-1-3=-π3So,…

Q: 769° 45° C. a) What is the measure of <ADB?

A: We can find the measure of angle ADB as below

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.4 O 3.2 O 2.8 3

A:

Q: The distance between a and b is lb -al.

A: Here, a=-0.5 &amp; b=3

Q: 6. Describe the reflection(s) that will carry the trapezoid onto itself. Write the equation of a…

A:

Q: 1. Fill in the table below. (x, y) (-3,0) (4,3) (0,5) (r, 0) 5, π

A:

Q: 6.1 Calculate the order of the element a) (4,9) in Z18XZ18- b) (7,5) in Z12×Zg. c) (8,6,4) in Z18×…

A:

Q: atb)

A: Given,        a+b2=

Q: [1 T = 11 1. 1 9 0 9 -2 .a O 1 9 3 9 -2 .b O 3 9 1 9 0 .c 2 2 0 .d O 9 9. N O

A:

Q: In r dx 7.)

A:

Q: H.W: Find f, fw, fx and fy if f(x, y) = x+ y+ xy yy>

A:

Q: 3. Prove the pythagorean Theorem

A:

Q: flx). a/2)=6x+6.and hlx) -alA 88

A:

Q: X X P(X=x) 0,10 0,20 0,30 0,40 2 3 4 5 P(2<X<4)=??? O A) 0,20 B) 0,10 C) 0,40 D) 0,50 O E) 0,30

A: Given observations

Q: What is the length of RS? W R x - 3 V x+5

A:

Q: find u ·v.

A:

Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: (A x B) U (C x D) (AUC) x (BU D)

A:

Q: -4x 2.) y = required:a) find the value of y if x = 1

A:

Q: What is Rolles Theorem and how do you find "c"?

A: What is Rolle’s Theorem and how do you find c

Q: Method of Lines (MOL) discretizes Select one: a. none of the space nor time dimensions O b. the time…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3) Let x = (-1,3,2,-4), and y = (1,0,2,3). Find the following distances || x = || = ? []x - || =?

A:

Q: Let f(x) =Ex-12. Find Ihe fallewing fla)=) +f72)3=

A: Function value

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.