2a + b – b = 9 3a + b + 2c = 23 %3D %3D 3a + b - 2c = 11 %3D

Q: 2c Jr-ct Question 1. Consider the second order partial differential equation (1) for an unknown real...

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Q: Detremine the Inverse Laplace of the ff: F(s) = 2s - 1 s2 + 4s + 8 show complete solution

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Q: a) ||x|| = (x1)² + (x2)² (Euclidian norm) b) ||x|| = (x1)² + 5(x2)² c) ||x|| = |x4| + |x2|

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Q: Find three (3) distinct roots of the cuberoot of 8 and express the root in rectangular form.

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Q: 5. Explain why the congruence r = 2 (mod 4) has no solutions in Z.

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Q: 3 -1 fo-4 3 [B]= 2 -3 2 1-1 4. 2. 20-3 FIND: 2.

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Q: 6. Find the aheolute mininmam and absolute maximum values of f(r) - 3r-4r-36r, -3 <I5 5.

A: Given function is f(x) = 3x4 - 4x3 - 36x2

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Q: the sum of the angles of a triangle

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A: Given A = 1234214334214312

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Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: 3. Find the surface area of the surface created when the cylinder y + 2- intersects the cylinder 1² ...

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Q: Simplify: i29 + i?1 + i2050 in form a + bi.

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Q: Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False accordi...

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Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1, −2),...

A: Below are graph and input view.

Q: Calculate the sum of the first 1,000 natu 500,500

A: The sum of first n natural numbers is given using the formula S=nn+12 therefore here n=1000  

Q: B. Provide a short proof. 5. Show that cot 0 d0 is equal to In|sin 0| + C.

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Q: Q2. Let a b c A =|d e g hi f Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A-) a (...

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Q: Prove that the difference between the square of any odd integer and the integer itself is always an ...

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Q: Let D be the open unit disc in C. Lel g: D-> D be holomorphic, g() = () & let (g(2) h(z) = (s'(0) ,Z...

A: let D be the open unit disc in C , WE Using schwartz lemma . WE CHECK OPTION  ONE BY ONE 

Q: Given 2 8 -2 -10 -67 [1 4 0 -4 -17 rref 1 4 -2 -6 -5 0 0 1 1 -1 -4 1 5 3 0 0 use the reduced row ech...

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Q: A rich man died leaving P500,000,000 to his children, two boys and one girl. His last will said that...

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Q: 11. Suppose a and b are relatively prime integers and c is an integer such that a c and b c. Prove t...

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Q: 2. Determination of integrating factors: 23{x² - y+x\dx+ (x° - 2ykty = 0

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Q: Find Z in (1-j5) 2= tanh cos lat5 express in lagarithm Form

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Q: 3. Find the solution of the nonhomogeneous differential equation initial value prob- lem dy dy – 102...

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Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on th...

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6) BC→=((1-0),(0-1),...

Q: Obtain the values oF a and b Catb) + j la-b)= (itj)+j° (2+j5)

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Q: Detremine the Inverse Laplace of the ff: F(s)= (2s + 1)2 s4 show complete solution

A: We determine the inverse Laplace transform of  F(s)=(2s+1)2/s4

Q: Q, Solve he differnktial equntion by Laplace troms form. ý-y =t, yW=1, ý(0) =1

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Q: Exercise No. 4. Elimination of Arbitrary Constants by Determinants. Show your solution. 1. x sin y –...

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Q: Find Hhe alope ļr=sino elpe r=sin'o when 3

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