B. %23 Explain how you can prove that LA LC.

Q: The graph of the function f(x) = /x Is stretched vertically by a factor of a and is translated3…

A: Shifting or transformation of graph is very useful. When a graph is shifted or stretched or…

Q: the diagram of triangle ABD below, EB||DC = 10 and BC= 25 what is the length of AD?

A:

Q: If the graph of the equation is an ellipse, find the coordinates of the vertices on the minor axis.…

A: Given equation is x2 - 4xy + 4y2 -25 x +95 y -25=0

Q: im 2. 3. 2.

A:

Q: The weight of an organ in adult males has a bell-shaped distribution with a mean of 300 grams and a…

A: From the provided information, Mean (µ) = 300 grams Standard deviation (σ) = 15 grams Let X be a…

Q: Given: F(s) = (5s+6)/(s²+9). Evaluate: f(1)

A:

Q: Use Laplace transform to solve the given initial value problem: y"-4y' +4y=0; y(0) = 1, y'(0)=1

A: y''-4y'+4y=0y0=1y'0=1

Q: It is known that a real matrix A has eigenvalues A₁ = 2 and A₂ = 1 + 2i with corresponding…

A: As per the question we are given two eigenvalues and corresponding eigenvectors of a real matrix A…

Q: Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues modulo…

A:

Q: K Complete the table. (a) (b) (C) (d) A 1 5- in. 52 25 ft 3 m B 3 2-in. C 2.4 m 56 1- in. 23.4 cm…

A: The two similar triangles are givenWe have to find the missing sides of the given…

Q: 1. Calculate a general solution of the ODE: dx dt (²+8) +4tx = 4 t² + 1

A:

Q: f"(x) = 2x + 5 and f'(-2) = 4 and f(-2) = -4. Find f'(x) = x^2+5x+10 and find f(2) = 76/3

A:

Q: From the list below, select all TRUE statements. (But do not select any false statements!) Of 1 an…

A: (1)  True:   As per definition of absolute convergent of a series  if  ∑an converges then ∑an also…

Q: 8²y 0²= 250²2; 0 0 ду at² Using the www wwwww decomposition method, solve the equation for the…

A:

Q: 9. x₁ - 5x₂ = b₁ 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4

A:

Q: Solve the following PDE: a² y(x,t) 1 əy(x,t) əx² a² Ət : 0, 0 <a, With the boundary conditions y(−L,…

A: Solve by separation of variables:

Q: y (5) + y(4) + 18y (3) + 18y(2) +9y(1) +9y=0

A:

Q: Take the system' = 5x - xy, How many critical points are there? What is the critical point with the…

A:

Q: (a) Sketch the plane curve with the given vector equation. (b) Find r'(1). (c) Sketch the position…

A: A.

Q: The table below lists the height h (in cm), the age a (in years), the gender g (0="Female",…

A:

Q: Find div F and curl F if F(x, y, z) = x*i – 11j + yzk. div F= curl F=

A: Vector

Q: Approximate the integral with n = 6, using a. Trapezoidal Rule QUESTION 3 I've √5x + x dx b.…

A:

Q: 8. If sin x- cos x = 3, find sin x sec x

A: given: sinx-cosx=13 to find: sinxsecx

Q: 2.27 Use the method of characteristics to solve (y+u)ux + yuy = x-y, u(x, 1) = 1+x.

A:

Q: (a) F (2y, 3r, -22) and S is the hemisphere. √√9-x² - y².

A: Since there are two questions, so find the solution of question (a).(a)The Stokes theoremFirstNow

Q: As =→ 3-4 4 Helo M instoirto

A: To find the coordinates

Q: 3. Use Euler's method to approximate the value of = -2x³ + 12x2 – 20x + 8.5 from x = 0 to x = 4. The…

A: As per our company guidelines, we can solve first three parts for you. If you want other part to be…

Q: 10. What number corresponds to P? ţ 0 C. 1.4 B. 1.3 D. 1 A. 1.2 11. Von received Php 72.35 from his…

A: Find the correct option for the following questions  As per the company guidelines We can first…

Q: dy 2. 32 +5y = sin x, y(0.3)=5 and using a step size of h = 0.3, Approximate the value of y(0.9) dx…

A:

Q: Describe the graph of the equation. r = 8 cos t i – 18 sin t j + k O An ellipse in the planex = 1,…

A: Equation in the vector form

Q: Given: f(t) = -2/3/2 + 4e 31. 3r Evaluate: F(2) Use 2 decimal places.

A: Given:     ft=-2t3/2+4e3t Apply Laplace transform on both sides    Lft=L-2t3/2+4e3t Apply linear…

Q: -Numbers 1-10 are written on cards and placed in a bag. Find each probability. 2. 5. choosing a…

A: From 1 to 10 there are 10 numbers. Among them, 5 are odd numbers: { 1, 3, 5, 7, 9} We can pick any 2…

Q: use laplace transgorm to solve f(t) = 3t^(5/2) + 4t^3

A:

Q: b D d 1. Explain briefly why H(ab, cd) and H(SQ, TD). = 2. Let U AT OPD. Prove that C, Q, U, are…

A: To explain why H(ab,cd) and H(SQ,TD), we need to understand the concepts of harmonic conjugates and…

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.