Describe the difference between Trapezoidal rule and Simpson's Rule of Integration.

Q: Suppose TEL(V) has singular value decomposition given by Tv = $₁(v. e₁) f₁ +...+ Sn(v.en) fn for…

A: The problem is solved using the concept of singular value decomposition.

Q: What is the volume in cubic units of the solid formed when the region bounded by (x-1)^2 = 20-4y, y…

A: 1st we will draw region bounded . Then rotate the region about x=1 to create solid and use…

Q: 5. The state-space representation for 2x" + 4x + 5x = 10e" is D = +² го 98

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Q: Find the volume of the solid generated when the region ? bounded by the given curves is revolved…

A: 7 Given that an oil tank in the shape of a sphere has a diameter of 60 ft. We have to find the…

Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y=x³.

A: 1st we will find region bounded between between curves and then find volume of solid generated using…

Q: 4 Given that log 20.571, log 4≈ 1.141, and log 6≈ 1.476, find log n 4 log nr (Type an integer or a…

A: This question is from logarithm and its property

Q: 1. Find the general solution of dy dx +y=x

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2 and y = 2x…

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Q: a b Consider M₂ (R) {[%d) | a, b, c, d = R с X Y (a) Show that I = { [ + ² ] | x₁yER} is a subring…

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Q: Set up the double integral that will find the volume of a solid bounded by z = 1- y²x² and the xy-…

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Q: 2.) - x= x=0 d+y=1 given a x(0) = -1, y(0)=1.

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Q: 11. Which of the following is a subsemigroup of (Q,*) where a*b = ab/5? A. (Z, *) C. (Q+, *) B. (Z+,…

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Q: Given: U= {x|x is the set of positive integer} A = {x|x > 19} B = {x | x is divisible by 5} Choices:…

A: Here we use basic set theory

Q: What is the center of gravity of the solid formed when the plane region bounded by 2x+y-2= 0, y = 0…

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Q: Date aw horizontal lines to decompose each rectangle into the number of rows as indicated. give the…

A: (a) 3 rows each block is 16 therefore shaded portion as sum is  12=16+16+16=36 as product is…

Q: Find the Laplace transform of B S 722 3M 26 20 f(t) = (3+1)te ³t sin 6t 3t ww Zita C in

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Q: (x² + 2)y" + 3xy' - y = 0 23-7 a. y = a₁ [1 + 4.4! 8-6! 23-7 b. y = α₁ [x+ ²x³. + ·x7 8-6! 23-7 c. y…

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Q: 30 P= √I droppings" can be modeled by,

A: Given the demand model : p=30x The cost - model is : C=2.1x-142 where x is in tons. We need to find…

Q: Classify the point (-37, 0) for f(x, y) = sin² x + y² by using Second derivative test if POSSIBLE.…

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Q: Calculate the expected value, the variance, and the standard deviation of the given random variable…

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Q: Find the solutions if k = 0 for kx +y +z = K² x + ky+z # -KM = 2 Kx + y kh

A: The given system is                     kx+y+kz=k2x+ky+z=kkx+y-kz=k2

Q: y-coordinate of the centroid of the plane region bounded by 22 What is the y = 2x + 1, x + y = 7,…

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Q: Date 8. a) Christine just moved into a 2-bedroom apartment. She pays $915 per month in rent. The…

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Q: Q2\A\ Which of the following functions are bijective 2- f: R{0}→ R\{0},f(x) = 1/x این 2- f:R→R,f(x)…

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Q: 3. Find the surface area of the parallelepiped with adjacent edges u = (4, 7, -8), v = (-2, 5, 11),…

A: Solution :18

Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + t²)/+ y =…

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Q: Give two sets that are equal. Prove that they are indeed equal by using the "Axiom of…

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Q: A = -2 - D = 3 0 B 2 " 2 13 3 E = SHE 5 > 4 5 -2 -4 31 -2 3 2 2 5 0 -4 -4 5 3 -4 -4 0 -3 2 3 - 7.…

A: Let us find the inverse of the matrix E and and answer the questions from 7 to 10 regarding its…

Q: 1. Evaluate the following integral: (1-e-²x) dx (a) analytically;

A: Note:- For this problem all the sub-parts  are different as methods are different. So, we can solve…

Q: ا دند c) | -3 + d) 4 0-1 3-2 21 + −1 3 24 نیا

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Q: Calculate 43×32. Reduce to lowest terms. Calculate 316x810. Reduce to lowest terms. Calculate 94÷35.…

A: 13. Given 43×32 =1376 Which is the required answer. 14. Given 316×810 = 255960 Which is the required…

Q: 2. Using power series, evaluate lim x →0 sin x-x 3 x

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Q: 28. Write 0.684 as a percentage. 29. Write 1.05 as a percentage. 30. Write 18 as a percentage.

A: To convert any number into percentage , multiply that number by 100 28.) 0.684 x 100 = 68.4% 29.)…

Q: What is the y=x^2 - 4 and O 1/4 1/2 01 3/2 Ο ΝΑ x-coordinate of the centroid of the plane region…

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Q: 7. The general solution of a non homogeneous state-space equation is given below. Use the initial…

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Q: Find the value of x and y in the given matrix. -4 P 0 Solve for the inverse matrix, A-¹ [53] 23-01…

A: Given that                       y-4-5x0230x-201=53y2

Q: 0, -# < x < 0, π 5. f(x)=-1, 1. 0<x< < 2 I <T.

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Q: Determine which of the following functions are locally Lipschitz, globally Lipschitz, or not…

A: Here we need to find wether given function is locally, globally lipschitz or not.

Q: Evaluate the following [8(t+ 3)e¹dt 88

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Q: ources amongst thems

A: Nash equilibrium: It refers to a theory that helps in deciding the game which helps the players to…

Q: 37.90 is 25% of what number? 38.12 is 34% of what number?

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Q: Set up the triple integral that will give the following: a) the volume of R using cylindrical…

A: We will use relation between cartesian and cylindrical co ordinate system  x= rcosθ , y = r sinθ and…

Q: This exercise assumes familiarity with counting arguments and probability (see Probability and…

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Q: Perform the Inverse Laplace Transform of: | in terms of f(t) 2s+3 F(s)=- S s² +4s+13

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Q: 5. 5, 8, 17, 44, 125,... Find the recurrence formula for an, where n ≥ 1.

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Q: St-1,

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Q: FIND Y(S) OF THE GIVEN EQUATION. y" + 4y = cos(t-3) +4t, y(3)=0 y' (3) = 7

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Q: 2. Give examples of functions, which satisfy the following conditions, and justify your choice. If…

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Q: 1.6 2.5 0.3261 0.08422 3.5 0.01596

A: Given as,

Q: f(t) = {t, 0<t<1 (0, 1<t<2,f(t + 2) = f(t).

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