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Q: 3 120° 3 Calculate the area of the Shaded segment in the figure above Cleave your answer in terms of…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 1- ff f(x,y)dydx represents the. 2- y" +(3y')5-sinx = 4 of order..... 3-ye² dydx = ...............of…

A: We will use basic concept of double integral for 1st part . For second part 1st we will check…

Q: -2.3y + 0.24z = - - 3.0 2x+0.2y + 3.0z = 7.4C +0.5y + 1.4z = 0.10 uss-Seidel method stem of…

A: Given as, 1.2x-2.3y+0.24z=-3.02-1.2x+0.2y+3.0z=7.403.4x+0.5y+1.4z=-0.10

Q: Question 7. Use Fourier transform to solve the following problem: ut = 2uxx - 5и, -∞ 0, -3|x|…

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Q: find the area of the surface S: x² + y² + 2² = 4 -A <tan -^ (*) FO 6 < COS Cos FJ VI (2) 4 DEX TI 3…

A: The given Surface is                    x2+y2+z2=4 ........1where π6≤tan-1yx≤π3 and π4≤cos-1z2≤3π4…

Q: Find the sum of the series: n=0 1-2 (-1)" (1) " 2n + 1

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Q: 9. Evaluate the integral = R from z₁ = 1 to Z2 = -1. where C is the above half of the circle

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Q: let X = {1,2,3} Then the collection M-EP₁ X₁ { ¹ }, {2,3}} is a algebra L o 2

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Q: 2. Let p,q and r be the propositions p: Grizzly bears have been seen in the area. q: Hiking is safe…

A: Given- Let p, q and r be the propositions  p: Grizzly bears have been seen in the area. q: Hiking is…

Q: Evaluate and C₂ dz where C is the closed contour shown in the figure below. (Hint: Express C as the…

A:

Q: 3. PDE r + a²t = 0, has the solution : (a) z = ₁ (y + iay) + 0₂ (y - iay) (b) ₁(y + iax) = z (c) _z…

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Q: 23: Test convergence for th 1- En-o)(x + 5)"

A: According to the guideline I am answering only first question. 1- ∑n=0∞ 34nx+5n   Ratio Test : A…

Q: The first five rectangular numbers are shown: . 3 2 a. Make a sketch to represent the eleventh…

A: Introduction: When a certain number is arranged in a rectangular manner, the number is referred to…

Q: = The intervals on which f(x) x² In x is increasing and decreasing, and the intervals of concavity…

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Q: Consider the initial value problem: Solution: y' = (y -0.01x²)² sin(x²) + 0.02x; y(0) = 0.4 y =…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Use power series to solve the differential equation; Y y" + xy' + y = 0

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Q: -10 T -5 5 • 10 0 -10 C ✓ 10 Given the three points of the trapezoid TRAP, determine the 4th point…

A: A quadrilateral has four sides. If only two of those sides are parallel, then it is called as a…

Q: 7. Assume that Vi, i = 1,2 are vector spaces over F E {R, C} and (,), i = 1, 2 is an inner product…

A: Let X is a vector space. A map V×V→F is said to be an inner product space if the following property…

Q: B) Find the Fourier transform x(t) for the following figure -T T

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Q: Use the parameter variation method to solve this problem. Write the solution in y=f(x) form. x²y" +…

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Q: The general solution of the DE +4-5y=0 dy² y = Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x…

A:

Q: (a) Give the centre c and the radius r of S = B(0,5) B(3, 4). (b) Which of the following are neither…

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Q: Utt = Uxx, x>0, t > 0, u(x,0) = f(x), u₁(x,0) = 0, u₂(0,t) = 0, where f(x) = { b) Sketch the…

A: solutions are given below:

Q: Number 4 only

A: #4 as you have mentioned 1+y'''25=2x4y3+y''44/3 Order of a differential equation : Order of a…

Q: Convert the integral from the CARTESIAN COORDINATE SYSTEM to the SPHERICAL COORDINATE SYSTEM. S-s √…

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Q: 6. The set of binary strings that when interpreted as either by 2 or 3, but not both at the same…

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Q: 64 = (-12), v = (24) € M₂2 0 M22. Let u = 5.1 Write w = -3 2 -5 2 as a linear combination of u and…

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Q: a) If R and S be two relations from set A to B. Show that (RNS)-¹ = R-¹ S-¹ b) Justify the following…

A: We know that ,  A relation R defined on a set A is called equivalence relation if R satisfies the…

Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: 3. Calculate y at x = 1 and x = 2 in the following system; y"=10y' +5xy +10x +5 y (0)=10, y'(3)=20

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Q: Find the cartesian representation of the plane below using row reduction and cartesian equations.…

A: X=s(1, -2, -2)+t(2, 0, -1) s, t∈ℝ

Q: Work all the questions. 1. Find the area bounded by the curves y=3e² and y=3e* and the ordinates at…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (d) Let (Fn) be a sequence of closed subsets of M, and S, (j = 1,...,5) be subsets of M such that.…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Q1) Answer the following a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank…

A: (a) Given that A is a 7×5 matrix of rank 2. To find: The dimension of Null A and dimension of Row A.…

Q: Let V and W be finite dimensional vector spaces, and let TE L(V, W). Prove that, for any choice of…

A: Solution:- Let  is an  dimensional vector space and let  is an  dimensional vector space . And  Let…

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: (c) Find the inverse Laplace transform of the following function by using convolution theorem. 2s…

A: Solution

Q: let X be any set and and M={0ix}. Then thes collection is also 6-a pg ebra. measurable space Hence…

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Q: 5 Use the "known Taylor series" (Table 10.1) to determine the sum of the series 27 23 25 33.3 35.5…

A: 5. The given series is 23-2333·3+2535·5-2737·7+.... To find: the sum of the series.

Q: Let C be the curve y = 12 11 10 9 8 7 5 w 15 2 4 1 + for 0.6 x 3.7. 3x 2,5 Find the arc length of C…

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Q: Find 0, given sin'0 - 0.2 sin0 -0.01. (Give your answers correct to 2 decimal place).

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Q: Lactulose 20g PO three times a day is ordered for hepatic encephalopathy. You have on hand Lactulose…

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Q: 17. Driving Time You need to buy groceries at the supermarket, deposit a check at the credit union,…

A: To find- You need to buy groceries at the supermarket, deposit a check at the credit union, and…

Q: Let the function be f(x)= log (base 3) X . Use the properties of the reciprocal of a function to…

A: Use the following formulae, to get the solution. If y=logax, then x=ay. 1xm=x-m. logaxm=mlogax.…

Q: An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $30 TOP…

A: Let there are x1 sets of Brand A , x2 sets of brand B and x3 sets of brand C The objective is to…

Q: Q.1: Solve the differential equation below; y' = e²x-1 y²

A: The given problem is to solve the given differential equation. Given differential equation…

Q: Z a. Q = f(l, k) = (1+1¬ak¬B)' z, a & ß are positive constants ƏQ aQ Compute the mathematical…

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Q: if Z-4x²-8xy +7y5-3 then find Z, Zy, Zxx, Zyy

A: We know that ,  Partial derivatives of any function having several variables is it's derivative with…

Q: Q2: In the traverse below, find the length of CD, so that the point ADH will be on one line Line…

A: So, θ=180o+18o = 198oθ=198o