1010 and b=0101.(with drawing)

Q: sing the laplace transformation table,

A: a. Given,        Lt-e-4t2sec24ttan4t

Q: 2-17 let E beaset of measure Zero, prove is measurble and its - that any subset of E Measure is…

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Q: -5<z<0 If f is the Fourier series of g(z)=92, 0≤z<1, then (11, 1≤z<5 f(z)= What does f(-5) equal?…

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Q: DO THIS TYPEWRITTEN. PLEASE SKIP IF YOU ALREADY ANSWERED. I WILL UPVOTE

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Q: Determine the dimensions of a rectangular box, open at the top, having a 7. volume of 32 ft3, and…

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Q: Convert ₁42(4-4x² - y²)dyda into a triple integral with dV = dydzdx.

A: Given, I=∫-11∫-4-4x24-4x24-4x2-y2dydxor I =∫-11∫-4-4x24-4x2∫04-4x2-y2dzdydx

Q: 9. (a) Let A = 0 3 5. Find an invertible matrix P, and a diagonal LO 0 41 matrix D, such that P-¹ AP…

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Q: (1) After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per…

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Q: Find a Fourier series expansion of the periodic function 0 -πst≤ 2 f(t)=27² cost 플라스를 0 st≤a f(t) =…

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Q: Determine whether the series 2n=13n+1 ln(n + 1) is convergent or divergent.

A: given series ∑n=1∞n23n+1ln(n+1)

Q: (~6 }] រឺ ទ 1 sh 2 2. x< 2x

A: This is a question from Laplace Transform.

Q: (1) We have three matrices given as follows: 3 2 -B ) B= 22] - [23] 2 Another two 2 x 2 matrices X…

A: Given- We have three matrices given as follows: B = 322-1,     C = 22-1-2,        D = 32-11 Another…

Q: (2) Assume there exists a path satisfying an iso curve function f(x,y), where f(x,y) = d and d is a…

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Q: Find the flow of the field F = V(x²ze) once around the ellipse C in which the plane x + y + z = 1…

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Q: 4. Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial…

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Q: - Find where the 2 t r general Solution of 2t dy + 2y dt constant 2 dr ² is 6 Tr r t

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Q: A skydiver weighing 193 lbf (including equipment) falls vertically downward from an altitude of 5000…

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Q: 9. √√4-4x² Convert ₁42(4-4x² - y²)dydr into a triple integral with dV = dydzdx. C

A: We can solve as follows

Q: Example 2: Consider a pond that initially contains 10 million gal of fresh water. Water containing…

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Q: What is the indefinite integral of f (x) = x² + 12? S(x² +12)dx= - 1 3x³ + 12x + C S(x² + 12)dx =…

A: We have to find the indefinite integral of f(x)=x2+12 i.e. ∫x2+12dx .

Q: Find the negation of the quantified expression Vx³y(x² = 2^ y³ = 3) given the domain consists of…

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Q: differential equat c(t)+3y(t) -3y(t)+5z(t) - 5z(t) e given initial conc

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Q: Solve using: a) Newton's method of approximation b) Secant Method Es = .00005 x³ -x-1=0

A: We have to Solve using: Given Equation is x3 - x - 1 =0 a) Newton's method of approximation b)…

Q: 1. Let a, b, c ER and let Sa,b,c = {(x, y, z): ax2 + by2 + cz²=0, x² + y² +2²=1}- (1a) For which…

A: Given: Sabc=(x,y,z): ax2+by2+cz2=0, x2+y2+z2=1 To find: the values a, b, c for which Sabc a regular…

Q: L[(3e2t)2]

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Q: Solve the initial value problem. y9y" - 400y = 0, y(0) = y(0) = y" (0) = 0, y" (0) = 123

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Q: Q4: A conical tank with Diameter of (2 m) from the top and (5 m) height. At the bottom of the tank…

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Q: 1.19. If M and N are normal subgroups of a group G, then G/(MN) is isomorphic to a subgroup of the…

A: Given :  M and N are normal subgroups of a group G. To prove :  G/M∩N is isomorphic to  G/M × G/N.

Q: prove that any Continuouse function [a,b] en is measurable.

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Q: INSTRUCTIONS: ● Please write clearly and understandable way. ● ● Write all the corresponding Given…

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Q: For the equation y 00 + by0 + 3y = f(t), where y 0 = dy/dt. (a) Find the range of values of b for…

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Q: n² Determine whether the series Σn=1 3n+¹ ln(n+1) +∞ is convergent or divergent.

A: Given, Sn =∑n=1∞n23n+1ln(n+1) Here, an =n23n+1ln(n+1) and an+1 =(n+1)23n+2ln(n+2)

Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax…

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Q: a. determine whether the system is homogeneous, b. find its order, and C. write it in matrix form.…

A: a. Consider the given system, x'=y2+zy'=x+zz'=x-z It can be observed that x'=y2+z containing the…

Q: 2. ؟ 3 Sxe ۲ xe dy dx

A: Sol:- ∫03∫x29x3ey3dydx Change order of integration

Q: B 0 Let A = [2 where B and C are block square matrices. a) If B and C are diagonalizable via Q and R…

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Q: Exercise 2: An approximation using a numerical method leads to the following results: Actual error…

A: Let us determine the numerical order of convergence in the next step.

Q: A laptop company claims up to 8.0 hours of wireless web usage for its newest laptop battery life.…

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Q: let to be anonempty subset of abounded set E-Show that infESinf to Ssup E ssup E

A: Given :  E0 is a non empty subset of a bounded set E. To show :  inf E ≤ inf E0 ≤sup E0 ≤ sup E

Q: (1).p^((Vq)^-p) → q); (2). ¬(p →(pVg))^r.

A: This is a question of Logic.

Q: (c) Consider the ring R=Z, [x] of polynomials with coefficients in the ring Zº. Let…

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Q: 8. 3 Show that the volume of a cone with height h and radius a equals Ta²h using h iterated…

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Q: Let n E w. Suppose that f:n → A is onto A. Prove that A is finite.

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Q: Which function is Chain Rule most useful for? Composite function Polynomial function Logarithmic…

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Q: Solve the D. E J+gtanx = sin ex

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Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by if…

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Q: Obtain the TSE of h(t) = 2t (1+t)¯¹ in powers of (t – 1). - O-1 + ½(t-1)-(t − 1)² + ½ (t− 1)³ – ½⁄(t…

A: As per the guidelines  I am answering only 1 question.

Q: The double bar graph displayed to the right shows the medan annual earnings of both recent college…

A: From the given double bar graph, the left bars denote the recent college graduates and right bars…

Q: Let p 3. Prove that if fn converges to f in Lp then f converges to f³ in Lp/3.

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Q: 6 The value of cos¹ 30sin³60 de is 0

A: It is known that:  sin2x=1-cos2x∫xndx=xn+1n+1+C

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.