show that there exists a Mobiola transformation which makes the region given by, 17-1+2() < 255 17-1-2() <252₂ 9 $ 12171 onto interior of tobangle which has vestice at 0.1s and it-

Q: Q4: Solve the following differential equation using Laplace transform d²y 1. + 25y = 10 (cos(5t) - 2…

A: Solution:-

Q: lim x → +∞ [5x+2]] X

A: Solution :-

Q: Use Laplace transform to solve the partial differential equation: d²ud²u du(x,0) t> 0, 0<x<1, u(x,0)…

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Q: Normal subgroup 2. Endomorphism of group 3. Field 4. permutation.

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: 1) Solve by using Laplace transform the partial differential equation 2² 8² dt2 =9. y(0,t) = 0,…

A: Solution

Q: Supppose A is an invertible x n matrix and is an eigenvector of A with associated eigenvalue-2.…

A: Here we use the properties of eigenvalues of matrix to answer the appropriate question as below.

Q: (.) I ху ff. f(x y). d) xerc find fr, fo التاريخ

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Q: Find the Laplace transform of t², -8 + 3t, 2. g(t) = - 6)² + 2 cos cos (1-2), 6 0 2

A: given g(t) is defined in (0,2)

Q: Question: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if…

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Q: (32) Find the derivative: d dx *cos(x) √1 - t²dt

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Q: C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁

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Q: You are given and Find the value of S₁=1+q+q²+...+ 1+ ( 9 + ¹) + (ª +1 = "Y

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Q: ý t + 45 зух P(x) = = 2x Q(x) = 2х 2

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Q: Let B be the basis of R² consisting of the vectors and let C be the basis consisting of Find a…

A: Solution:-

Q: (32) Find the derivative: d cos(x) a (16) √ 1 - 13dt). t²dt dx

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Q: Define the concept of isomorphism of groups. Is (Z4,+4) (G,.), where G={1,-1.i.-i}? Explain your…

A: Lets solve the question.

Q: Q₁/ show that whether the functions are analytic or not? Z 10 f(₂)= =, @ f(²)= | ² | 3 f(²)= 2₂²₁…

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Q: Consider the four statements (a) 3r ER Vy Rx+y>0; (b) VrER 3y R x+y>0; (c) VER Vy ER x+y>0; (d) 3r…

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Q: For p = (1, 0) and x = (x₁,x2,...,xn) ER", define ||2|p:= - ². |P Show that n jyjx|py|q for x, y…

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Q: A probability mass function for a particular random variable y having honnegative integer values is…

A: The pmf and mgf is calculated below.

Q: 1.a) Apply the Trapezoid and Corrected Trapezoid Rule, with h=, to approximate the integral ₁³e-2x²…

A: 1. a) Consider the given integral, I=∫13e-2x2dx, with h=18. The trapezoid rule states that,…

Q: Q2. At a price of $7.00 per box of apples, the supply is 320,000 boxes and the demand is 200,000…

A: To determine the price-supply equation.

Q: Suppose f: A B and g: BC are functions, show that a) If both f and g are one-to-one, then go f is…

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Q: rumour quickly spreads among the students at school. After days, the number of students who have…

A: Note: The first derivative of a function at a given point gives us the instantaneous rate of change…

Q: (1) Using Legendre polynomials, find linear least-squares approximation to f(x) = In|xl.

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Q: Q3: Find f(t) (Inverse Laplace Transform )of the following functions nn 1. F(s) = 2.F(s) = s+1 s4+5²…

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Q: Prove that (n!)! is divisible by (n!)

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Q: Find the Laplace transform of 1. f(t) = ½ [1 − u₂π(t)](2 sin t — sin 2t)

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Q: The graph of the function f(x) is given below. 2. 1 a. Draw the anti-derivative F(x) of f(x) such…

A: Solution : Given f(x) is, f(x)=x20≤x&lt;212≤x&lt;41-1-x-524≤x&lt;6-23x+56≤x≤9 a) Taking anti…

Q: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

Q: region (levels: Northeast, North Central, South, and West) whether the respondent feels things in…

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Q: 20) If y = a e/, then radius of curvature p = a sec² 0 cosec 0, if (a) 0 = tan-12 (b) 0 = tan ay -1…

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Q: Let f(x, y, z) = g (x² + y² + z²) where 2 9 is some nonnegative function of one variable such that…

A: If S is a surface given by parametric form r→ u,v =x u,vi^+y u,vj^+zu,vk^…

Q: Solve the following system using the Newton-Raphson method for one iteration, given that…

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Q: Set up, but do not evaluate, the integral for the surface area of the solid obtained by rotating the…

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Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

Q: ID: Name: - Q1- Use linear convolution to find and plot the system output of an LTI discrete time…

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Q: What is the value of k such that the lines 3x + 6ky-7 and 9kx + 8y=15 will have the same positive…

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Q: find an approximate value of y 1

A: Given,        dydx=xy12 and x=1, y=1

Q: For any non-negative integer m show that In [x2m] is a polynomial in n of -degree m with integer…

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Q: (22) Find the derivative of f(z) = z+1 Leave your answer unsimplified.

A: Solution:-

Q: Let G be a group and H be a normal subgroup of G. If H and G/H are solvable then so is G.

A: Given that Let G be a group and H be a normal subgroup of G. If H and G/H are solvable then so is G.

Q: Compute the following Laplace transforms: Problem 12 (a) L{3t4 + 4t² - 6t+8} (b) L{4e-3t-sin 5t)}…

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Q: ) Solve by using Laplace transform the partial differential equation 8² 2² = 9. y(0,1)= 0, y(2,1)=…

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Q: Using the stability criterion by means of bilinear transform (Tustin), find if the system is it…

A: Given : F(z) = z4-z3+0.5z2+0.5z+0.5a0 = 1a1 =-1a2 = 0.5a3 = 0.5a4 = 0.5Finding stability :1. an =…

Q: 10- تقرير رياضيات on Mo Tu We Th Fr Sa Su X Memo No. Date 1 Inx X log x e X sin (X) cos (x) Tan ( X…

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Q: Let Use these values to evaluate the given definite integrals. S² (f(x) + g(x)) dx = (f(x) = g(x))…

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Q: 12 A function is defined by f(x)=2-- for -7≤x≤7, x=-5. x + 5 (a) Find the range of f. (b) Find the…

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Q: 7. Evaluate the integral x4 6x5 1 dx

A: