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Q: Solve the two items using Integration by parts. 1. [x' v9-x? dx Se sin x dx 2.

A: To find the given integral by integration by parts :-

Q: What is the differential equation of the solution y= Ce + C2e + C3e1 + C4e-13? 7 Differential…

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Q: Find a number A that causes the following system to have an infinite number of solution S2x+ 5y =5…

A: Here the solution is given by using the Gaussian elimination method. Tha value of A is 10. Thus for…

Q: L Simplify each of the following expression. 7. (8!7!) 5!4! 12! 3!2! 10 8. 4!3! 45! 0. 43!5!

A: To simplify each of the following expressions: 7. 8! 7!12! Here, '!' represents the factorial. Note:…

Q: d?x 1. +* = 0, dr? x(0) = 1, x'(0) = 1; x(0) = , x'(0) = -1 %3D

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Q: 1. Tasty Bakery bakes and sells chocolate chip muffins and chocolate chip cookies. Each batch of…

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Q: (a) Define f : R × R→R×R by f(x,y) = (2x – y, x – 2y). Prove that f is one-to-one. Describe f-1.…

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Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

A: Please comment if you need any  clarification. if you find answer useful please put thumbs up. Thank…

Q: EXAMPLE:- Method of variation of parameters. Solve the nonhomogeneous ODE %3D sec X COSX

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Q: f CB) is aelesed Sot at y for eVery closet Set Bat X Prove that fEÃ) cFA)YACX then SupPose CA) <…

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Q: Let p be a proposition and P be a propositional function. Identify all of the following statements…

A: Given : p is a proposition and P is a propositional function We have to identify the statements as…

Q: spade. L A card is drawn from a standard deck of 52 cards. Find the probability that it is a red or…

A: Total number of cards in a deck is always 52. From the deck to 52, the number of red cards are 26.…

Q: . There are seven finalists for the Math contest, and medáls Will be giv many ways are there for the…

A: The act of organizing items or numbers in order is known as permutation. Combinations are a method…

Q: Question 2. space is the union of a finite number of closed balls radius e. Prove that a metric…

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Q: Q1/ Using inverses to solve the equations: 3x1 + 2x2 - X3 = 4 X2 + 2x3 = 10 3x2 - 4x3 = 5 2x1 X1

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Q: Determine if the given function is continuous and differentiable at the indicated values of x. Show…

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Q: 2. Let X = {a,b,c,d} and T = {ø,{a},{b},{a,b},{a,b,d},{a,b,c}, X}. a) Show that T is a topology on…

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Q: Determine in polar form the three roots of -27V2+j27/2 O 32 44, 3V2, 3V2 O 3V2 2 , 3V2 , 32 none of…

A: Solution

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Consider f(x)= 5.6x⁵-6.5x³+8.2x-7.4. Using the given function, calculate the Rm by making use of the…

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Q: Let ∼ ⊆ X ∗X be an equivalence relation on a set X. For x ∈ X define ̄x := {y ∈ X |x ∼ y}. Then it…

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Q: Can you please identify the splitting field of (x3 + x2 + 1) over Z3.  Write the addition and…

A: Given,Polynomial: (x3+x2+1)We need to identify the splitting field of x3+x2+1 over Z3.To draw the…

Q: Question 3. all its cluster points. Prove that a subset of a metric space is closed if and only if…

A: We have to prove that a subset of a metric space is closed if and only if it contains its cluster…

Q: O Calculate the integral y dydx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the integral 1 x3 dx. 1+ x2 0.

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Q: Example 11.11. Find the values of ulx, t) satisfying the parabolic equation :4 at and the boundary…

A: Here we need to find the values of u(x,t).

Q: Find the particular solution of the following second order differential equation d'y dy…

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Q: z1= 11-15i z2= 13+2i z3= 5+31i 24= 9-25i 25= 10-10i 26= 3+4i 4(z1 – z2) , (Z5 – z6) _ (z2 + z3)³ +…

A: To reduce to a+bi

Q: Please provide justified answer asap:::: Show that n is odd if and only if n^2+4n+1 is even.

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Q: 1 -3 3 4@ O } watrir, A= Find A75 3 -5 3 6 b 9- P the diffenen Linean

A: Given data A=1-333-536-64find  A75=?

Q: 7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

A: Given data A ladder slides a vertical wall at rate of 0.15 m/s  find the length of ladder = ?

Q: Using the answers obtained in getting the LU decomposition, solve the following system of equations.…

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Q: Example 10.20. Using Milne's method find y(4.4) given 5xy' + y2- 2 = 0 given y(4) = 1, y(4.1)% 3…

A: Given that 5xy'+y2-2=0 and xi 4 4.1 4.2 4.3 yi 1 1.0049 1.0097 1.0143 Find y4.4 using…

Q: 1) What is the greatest common factor of 9z and 6z? Choose 1 answer: A 3x 3x2 18 D. 182 54x2

A: Applying the definition of greatest common factor in solving the problem.

Q: HW Solve the fallowihgfirst order 0E. fallowing firistorder DE.

A: The given differential equation is e-y sinx-y cos2=0 where y=dydx.........(1) To find: The solution…

Q: Solve the boundary value problem numerically - du = r, 0 < IS1 subject to u(0) = 0 = u(1)

A: d2udx2=-x2⇒dudx=-x33+c⇒u=-x412+cx+du(0)=00=du(1)=00=-112+cc=112u(x)=112(-x4+x)

Q: 2. Find the converse and the contrapositive of the following statemnents: (a) If m divides 2+j²,…

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Q: Fix n e N. Prove that gcd(5n + 3, 3n + 1) = 1

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Q: identify the substitution equations and solve the solution 2( x–y)dx+dy=0

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Q: A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we select 4…

A: Here we can use combination to find the number of ways of drawing r balls out of n given choices.…

Q: laplace{sin3t sin8t}

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Q: D is some triangular domain in the xy-plane with area equal to 9. S is the triangular area that is…

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Q: Evaluate ([7y'e*+ dA where D is the region bounded by y = 2 x , x=9 and the x-axis.

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Q: 13. Let/(x) = x' + 3x² - 9x - 13. (a) Find the intervals where *) id increasing and decreasing; (b)…

A: Since you have uploaded multiple parts of the question according to our guidelines we done first…

Q: sin(t + a) cos(t + a) 3 dt 8. f(t) = e 2t 0.

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Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at 2- L[[, e2t cos 5t dt]|

A: We have to find the Laplace transform for the given functions.

Q: A five-member committee is being formed from a group of 9 sophomores and 12 seniors. How many…

A: Given a group of 9 sophomores and 12 seniors. We have to way formed five-member  committees…

Q: dy 2y+x B) %3D dx

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Q: (cos 6, sin 0) (0,1f G4) 2x (号) (올) 120 3 3n 60 135 45 5x 150 6 30 (1,0) (-1,0) 0,0 180,t 7x 210, 6.…

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