-1 -1 6s-5 4s²+7] 3s-2 s²+8s+25]

Q: Show that the function f(x)= √(x) = { -1 when xw0 when x=0 is discontinuous at x = 0.

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Q: Solve the differential equation using modified Euler's and 4th order RK method lnx(dy/dx) + y = cot…

A: We can solve this using 4th order RK method and

Q: Finding a probability density function A continuous random variable X, with mean unity, has…

A:

Q: aw Given w=xysin(z2), x-s-t, y=s², z t². Find əz aw 2xyzcos z² Əz = Əw əz = 2yzcos z²

A: Given :  w = xysin(z2) , x = s-t ,  y = s2 , z = t2 To find :  ∂w∂z

Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = 0

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Q: Let B = Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by 1-n f(n) = ans where an=…

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Q: (a) Graph G has 24 vertices and all of its vertices have positive even degree. We can conclude ✓…

A: To determine the graph is Euler or not :-

Q: Using Eulers methot: estimate Y (0.3) with step size 6=0₂1 dy given 1/2 =€ +24₁ 4(0) = 1 Solve the…

A: Given initial value problem is dydt=t+2y, y(0)=1 and step size is h=0.1 We have to calculate y(0.3).…

Q: 3. Compute the determinant of the leading principle submatrices of the following matrix. Can you do…

A: Solution: Here A=1719-12351Leading principle submations are1 ,179-1, and 1719-12351so,The…

Q: (!) Let G be a graph whose odd cycles are pair wo odd cycles in G have a common vertex. Prove

A: Given : Graph G has odd cycles that are pair-wise intersecting, i.e, every two odd cycles in G has a…

Q: Q2/ Find the Dual for the primal problem? P: Max y1 + y2 Subject to: y1 + 2y2 ≤ 6 y1 y2 ≤ 3 y1, y2,…

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Q: 5. Compute the indicated power of the matrix. -4 61 Gg¹ 5J

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Question 1: Given the following system of Initial value Problem (IVP) ==-2-3y, 20 = 2(0) = -1 1…

A: We will use the basic knowledge of differential calculus to answer all the parts of this question…

Q: Let C be the curve connecting (0,0,0) to (1,4,1) to (3,6,2) to (2,2,1) to (0,0,0) Evaluate Lex (xx +…

A: We will use Stoke's theorem to solve the following problem

Q: Question 3.1. Let's think of the set of n-by-n matrices as R² by using the matrix entries as…

A: Please see the attachment

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

A: Solution :-

Q: Take note: ANSWER IN A CLEAN SHEET OF BOND PAPER (HANDWRITTEN). SHOW COMPLETE AND CORRECT SOLUTIONS…

A:

Q: 7. Let B₁, be the set of bitstrings of length n. Describe a bijection f: P({1,2,...,n}) → B₁.

A: The idea is to look at the indicator function of a given set. The detailed solution is presented as…

Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 4 seconds.…

A: To find the rate of change of the projection of light onto the wall when the light's angle is 15…

Q: 7. Find the exact x-value where the function f(x) = x + ln (x² - 1) attains a maximum value. An…

A: Solution:-

Q: A budgle with a PCV of 45% presented to the clinic. A diagnostic laboratory requires 1 ml of serum…

A:

Q: need the answer qu

A: Introduction: The volume of the right circular cone of radius r and height h is given by, V=πr2h3

Q: Romberg integration for approximating ff(x) dx gives R₂1 = 3 and R22= 3.12 then f(1) = -0.5 1.68 O…

A: Solution :-

Q: 1) The polynomial P(x) = x²+4x³+x²-6x+2 has roots; a, 6, 7, 8. Given the condition that aß = -1: (i)…

A:

Q: Suppose f"(x) = N₂(h) + a₂h³ + a₂h¹ + a₂h³ +.. When calculating N, (h) using Richardson…

A: Solution

Q: If α₁, ₂, ......., a are the roots of the equation x²¹²-a₁x²² - ¹ + a₂x²¹ - ² + ...... + (-1)" a, =…

A:

Q: Suppose n is odd. Find the cube of n and divide it by 4. What possible remainders could occur? Check…

A: Solution

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, approximate y '(1.3).…

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Q: 6. Let A and B be n x n hermitian matrices. Suppose that A² = Ins B² = In (1) and [A, B]+ = AB +…

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Q: Examine the continuity of f(z) = 2-√z+4 Z at z = 0

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Q: Angela currently owes $6,000 to a friend who is charging her interest of 2.80% p.m. She is required…

A: We have to calculate the size of the equal payments using three months as the focal date. Simple…

Q: Let P be the set of all people alive today, and define a relation S on P as follows: (person a) S…

A:

Q: Evaluate the inverse Laplace transforms of the following: 1 4 이름 + S s+9 -5 20 1 -+ + st3 5s-3 ㄷ 7…

A:

Q: ANSWER IN A CLEAN SHEET OF BOND PAPER (HANDWRITTEN). SHOW COMPLETE AND CORRECT SOLUTIONS IN…

A:

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

A: Solution

Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

A:

Q: Consider the following lines. r(t) = (4t-1,4t - 1,2t+3), for -∞<t<∞ R(s) = (s +3, 4s+3, -2s+5), for…

A:

Q: Define a relation on N by (a,b) ER if and only if E N. Which of the following properties does b…

A: Given, A relation R on N by a,b∈R if and only if ab∈N.

Q: 2- 2 X dy dx dy d x +34 x/2 e Sinx X2

A:

Q: -1 0 0 -1 0 1 -1 2 0 -1 2 -1 0 0 -1 2

A: Solution:- Given matrix is -

Q: lowing Vectors Linearly Dependent 1,438) ₂ (3₁-330) Ans. Dependent

A:

Q: Find the number(s) b such that the average value of f(x) = 6x² on the interval [0, b] is equal to…

A: Solution:-

Q: Find the derivative for this question correctly

A:

Q: 3) Evaluate the iterated integral by con polar coordinate, the to √₂x-x² ( aj Ky²ty² dydy

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Question 2 Let B = Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by 1-n f(n) = ans…

A: A sequence which is moneyone increasing or decreasing and bounded above or bounded below…

Q: 4. An n x n matrix A is persymmetric if Jn AJn = AT and skew persymmetric if JnAJn = AT, where Jn is…

A:

Q: Choose all the answers below that are impossible. There may be zero, one, or more impossible…

A: Please see the attachment

Q: green A store sells rubber balls in 4 different colors: red, yellow, blue, and If the store has a…

A:

Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

A:

Q: 10. In one of the videos from the discussion thread, it talked about doing a transformation T: R² →…

A: Given,  by  for solution(a): column-1  column-2  solution(b): Start from forming a new matrix by…