Q3 :- :- if you know the standard deviation = 3 for measured data, what is the variance ?

Q: State and prove the first isomorphism theorem.

A: As per the guidelines we are supposed to solve the first questions only.kindly post another…

Q: 2 2 L²₁ [² ( 6² 37³ -] = 6³² +² e t (8-373

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

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Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

A: Follow the steps.

Q: - Let R=(Z9,+9,9). Find 1. Char(R) 2. Nilpotent ideals of R 3. Prime ideals of R.

A: Solution

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A: x is a rational number proved directly.

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A: Given that the population of five states and total legislature seats in the following table…

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Q: 2. Given the function_y=4log(2x+1)+3 . (a) State the domain, range and equation(s) of the…

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Q: Let R be the region below enclosed by the curves z = 2-y², y = −sin (7), and x = -1, as shown below.…

A: Using the Washer method (To set up only integral), to find the volume of the solid generated when…

Q: Showing your working, use Shanks' Baby-Step Giant-Step algorithm to find a power x such that 3x = 11…

A: I will first write down the algorithm used in the above question.  Baby steps: Suppose we want to…

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: Q2: Determine the solution of each of the following initial value problems: vy-ce-, y" -y = 2x, y(0)…

A: Solution

Q: 4. Given f(x) = 3x-6 and g(x) = x-2. Evaluate f(x)/g(x). 5. Given f(x) = 9x-5 and g(x) = -x+4.…

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

A: Solution:-

Q: Solve the following payoff matrix to find the best strategies and the value of the game: (Use the…

A: We need to solve the payoff matrix     Player B     B1 B2 B3 Player A A1  1   3   10  A2  8…

Q: (29) π/3 177³- _csc ada π/4

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Q: Howe if S IS (finite or infinite) Countable set, then prove that M" (S) =0.

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Q: (27) Evaluate the integral: 1 (5t+4)2.7 dt

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Q: Show that the fractional parts of a given sequence {annz1 is uniformly distributed if and only if 1…

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Q: arctan dA Xx Calculate where R={(x, y) / x² + y² ≤ 4, x² + y² ≥1, y ≤x≤ 0}

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Q: 3. Find the values of x does the power series M8 n=0 n! converge?

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Q: 2) Write an expression that represents: 2-2x twice x less than two 3) Show the solutions to the…

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Q: Find the closest line to the points (1,4.5), (3, 4.5), and (4,1). Identify the following components:…

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Q: 22. The figure shows the torus obtained by rotating about the z-axis the circle in the xz-plane with…

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Q: Consider the four statements (a) 3r ER Vy ER (b) Vr € R y R (c) Vr ER Vy ER 3r ER Vy ER (d) 1. Are…

A: First we will tell the meaning of the symbols used in the given statements. The symbol ∃ is used for…

Q: If u = f(y + ax) + (y-ax), then to №² u №² u (a) a² (b) dy² 2 Əy² 2 (c) - a². (d) a №²u น 2 Əy² №² u…

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Q: Provide the equation of a sphere of radius 5, centered at the origin, in: 1. rectangular coordinates…

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Q: Exercise (1-3): By Charpit method solve the following PDE (3): p²-q²y = y²-x² (4): (y² +4)xpq −2=0

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Q: Make a introduction about bisection, false position method, matrices, determinants and fixed point…

A: (1)  bisection methodDefinition :The simplest numerical procedure for finding a root is to…

Q: Let V = R³, the vector space over R of dimension 3. Give an example of a subspac dimerem bases of V.…

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

A: Solution :-

Q: Find the area of the region to the left of the parabola x = 7y², to the right of y-axis, and y = 1.…

A: Given curve is x = 7y2 and  y = 1

Q: Let H be a hermitian matrix, i.e. H = H*. Now U := eiH is a unitary matrix. Let H = († 8). aER, beC…

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Q: (21) Let y be a function of x. Find y'(x). Leave your answers unsimplified. (a) y = arcsin (arctan…

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

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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: Find the critical point(s) of the function f(x) = x³ + + 2. (Give your answer in the form of a…

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Q: Solve for the following. Compute the peso mark up and percentage mark-up. 1. Selling price 50.00…

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Q: If u = x² tan equal to (a) (c) x - y x + y - 2 x² + -1X 2² μ is - then 9 Әхду y -1 ½ - y² tan X (b)…

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Q: : Define and give an example for each of the following Normal subgroup 2. Endomorphism of group 3.…

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: which one one of the following statements. As incorrect 55 @B = [²16 SAT -5 ]-XBT)T=B --26 Sint -9 b…

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Q: If A, B, C are sets, show that a) A x B= 0 ⇒ A=0 or B = 0. b) (AUB) x C = (AXC) U (BxX C). c) (An B)…

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Q: In a study of a new method of teaching arithmetic, claimed to improve on conventional techniques,…

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Q: (b) Using Sutherland Hodgeman polygon clipping algorithm, clip the triangle ABC with the vertices as…

A: We will use the basic knowledge of co-ordinate geometry to answer this question.

Q: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

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Q: Consider the four statements (a) 3r ER Vy ER (b) Vr ER By R (c) VER Vy ER (d) 3r ER Vy ER 1. Are the…

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Q: 21. Use Divergence Theorem to find the volume of a quadric surface z² + 3y + 4x² = 3 with the solid…

A: 21 Given that F→=xzi^+3yzj^+x2k^. We have to find the volume of a quadric surface z2+3y+4x2=3 with…