Determine whether the equation is exact. If it is, then solve it. (y? sin x) dx + (1/x-y/x) dy = 0.

Q: E A) Find the value of (H) if, / A: |H 1 -1 (x3-1) 1 = lim,- 0. (x-1) 4 2 1

A:

Q: An edge is called a bridge if the removal of the edge increases the number of connected components i...

A: We draw a graph without loop, find number of bridges by removing edges.

Q: 7. Which of the following is a loop? E F Figure 1 A) BC B) DC C) AE D) None of the above

A: Loop is a closed path, so the from given options only two pints are given so no loop is formed with ...

Q: 3. Use the Secant method on the circle function (x + 1)²+(y – 2)²= 16 to %3D find the intersection o...

A:

Q: Question 27 Convert AA40F16 to X2. O 101010100100111100011111 O 101010100100111100001111 10101010010...

A:

Q: Verifying a Sum A In Exercises 55, 56, 57, and 58, verify the sum. Then use a graphing utility t app...

A:

Q: dx - = In[F(x)]+C. What is F(3) if C= 0? For %3D (x+x³) (x Tan-!x+1) -1 A +

A:

Q: Let D = P'AP be a diagonal matrix, wher %3D Pesell thet if D:

A: Given, D=P-1AP be a diagonal matrix, where P is an orthogonal matrix. To prove that A is symmetric.

Q: 6. Which of the following is NOT a walk from A to D? Ao F Figure 1 A) AEFEBCD B) ABCD C) AFEBCD D) A...

A: A walk is a sequence of vertices and edges of a graph that is if we traverse a graph then we get a w...

Q: dv av and ду ди ди 2. suppose f(z) = u(x,y) + iv(x, y), show that əx %3D ду əx ||

A:

Q: Exercise 2. Let f: (1, 00) → R and g : (0, 1) → R be such that g(x) = f(1/x). Prove that lim f(x) = ...

A:

Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

A:

Q: Problem 9. Prove that if f : [a, b] → R is integrable on [a, b] then so is |f| and

A:

Q: Prove the identity: tanx+ cosx = secx 1+sinx

A: Solution

Q: a) (x² + y² + z²)² = xyz %3D

A: see the attachments below

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A:

Q: Problem 6. Show that if AB = AC and A is nonsingular, then the cancellation law holds; that is, B = ...

A:

Q: Which of the following is an improper integral? dx 2x + 8 2. 0- -4 x² – x – 2 In3e COSX dx хе -2 In(...

A: We find which of the given integral is an improper integral.

Q: -= In[F(x)]+C. What is f(3) if C= 0? (x+x³) (x Tan-'x+1) A 3 B 6. 3 D V3 6 . + + -1/5

A:

Q: Find the postive integec N such that implies 4 a) lim P = 10 000

A:

Q: Question 21 Evaluate (p V ~ g) →~ (p<+ q). (p → q). O Tautology O FTFT O FTFF O Self-contradiction O...

A:

Q: cosx - e sinx sinx +x +e The integral dr may be written as nsinx me rx +px + qe 1 C, where m, n, p, ...

A:

Q: In a group of 500 students during vacation, 23% likes to go shopping only, 74% loves to stay at home...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: 1. Graph the following set on a number line and express the set in interval notation. {x\x s -2} -10...

A:

Q: (2- sec?x) elm cale sec³x sec( 3A – x) cIn (ale) Nhat should be the value of A for -dx to be integra...

A: We will use options to find the answer .

Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

A:

Q: dx = In(F(x))+C. What is F (/3) if C=0? For (x+x³) (xtan='(x) + 1) A 3 B D) 3 -15

A:

Q: ln (ale) secx (2– sec²x)em sec(3A – x) What should be the value of A for dr to be integrable using t...

A:

Q: 3. Find the fourier series expansion of the periodic function f(r) = e", -n < r < T, 1 f (x + 27) = ...

A:

Q: 1. tan (5225°)

A:

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Properties of Definite Integral

Q: ?

A: In the given figure, If we rotate the first figure in 90° anti-clock wise we get the second figure ....

Q: d?y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the curv...

A:

Q: 3. Recursive sequence Give a recursive definition of the sequences below. (a) {an}=1 where an = n(n+...

A:

Q: F (x. y) = 3x²+3y² –18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: The given function is Fx,y=3x2+3y2-18y+154-2x+4y+4. (a). We know that the domain of a function Fx,y=...

Q: Lauren would like to have $55,000 saved 10 years from now. If she finds an account that offers a 3.2...

A: Let the initial investment be P. The compound interest formula for quarterly is A=P1+r44twhere A=tot...

Q: What is the integrable form of sin-cos-sino de? 2

A:

Q: 6. C. 6. X3D

A: Given the measurement of a right angle triangle. The length of opposite side is x-1. The length of a...

Q: Identify whether each of the following is a polynomial function. Justify your answers. a) h(x) 2- Vi...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: Solve the linear system using Gaussian Elimination with Back Substitution 3a + 2b + 3c + 4d = 55 2a ...

A:

Q: a) The distance from the centre as a grandfather clock pendulum swings back and forth b) the value o...

A: Periodic motion,  motion repeated in equal intervals of time.

Q: Evaluate the flux integral F.S where S is the surface given by 22 = a? + y?, 0 <z< 4, oriented upwar...

A: The given problem is to evaluate the given flux integral of the given vector field over the given su...

Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5) - jsin(5)] T = VM² –1 200,000,000ej0.241 H = ЗЕ...

A: Given that E=115,000ej0, M=cosh0.05+j0.5, A=400cos5-jsin5T=M2-1 and H=200,000,000ej0.2413E We have t...

Q: If a and b are complex numbers, prove that |a+b|<\a|+\b| .

A:

Q: 1. Given / || m; m25 = 81°; and mz13 = 32° Find all of the other angles. 7/8 11 12 10/9 14 13

A: Here we will use the concept of vertically opposite angles, transversal  angles and alternate interi...

Q: f (x) = 1+ 2x, if – 1 < x < 0, 1 – 2x, if 0 <x < 1.

A:

Q: Given the orthogonal basis B for R4 and the vector v below, find the Fourier coefficients for v with...

A: Given  we have given the orthogonal basis for R4 and the vector v below  B =1-21-2, 10-10, 4-347, -2...

Q: F (x. y) = 3x²+3y²–18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: We will use the basic knowledge of real-valued functions and their domains to answer both parts of t...

Q: For each problem, fill out a table like shown below. You must include the general steps for solving,...

A:

Q: (2– sec?x) eln (xle) sec(3A – x) 'sec³x What should be the value of A for to be integrable using the...

A: