7. I-J 8. S-I 9. IAS

Q: 1. Using Cramer's Rule а.2х + у —z%3D33 b.x + y+z= 1 с.X-2 у—3z%%34 |

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Q: ez = -2

A: Solution :-

Q: Set up the double integral ff 2x + ydA where R is the region above the x-coordinate bounded by the…

A: Double integration : Let f(x, y) be the two variable function the double integration over the region…

Q: 1 - = AV25 + BV5 + C V25 + V5 + 1 A+ B + C =?

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Q: 1 . Let V be a finite dimensional inner product space. The thogonal if and only if its matrixr…

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Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

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Q: 2. Origin is shifted to (4,-5) by translation of axes, find the coordinates of the following points…

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Q: In a particular very small region, the consumer price index, C, depends on the current valuc of…

A: here we will be using derivative to find rate of change

Q: Evaluate the multiple integrals of the above problem using single applications of Simpson's 1/3…

A: To evaluate the triple integral ∫-44∫06∫-13x3-2yzdxdydz using single application of Simpson's 1/3…

Q: Which fractions were used in Moscow Papyrus 10th problem in solving the surface area of a basket? 1…

A: The solution of Moscow Papyrus 10th problem contains exactly 14 steps. We need to determine the…

Q: Let G, (Isisn) be n groups and G is the external direct product of these groups. Let e, be the…

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Q: Find the equation of the circle of curvature of the curve y= 2x" –x' at its minimum point in the…

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Q: Let Sbe the set of all (nonnegative) 4-digit integer. How many integers from start with 1 and end…

A: let S be the set of all 4-digit integer. how many integers from start 1 and end with 9

Q: 1. Let z = 3+ 6i and w = a + bi where a, b e R. Without using a calculator, (a) determine Ž, and…

A: 1) We have given that ,  z = 3 + 6i  ,  w = a + bi  , where a , b ∈ ℝ (a)  We need to find  ,  zw.…

Q: 3. Let X = {a,b,c} with and 7, = {ø, X,{a,b},{b},{b,c}}and Y={1,2,3} with topology T, =…

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Q: (b) Perform the Gram-Schmidt orthogonalization process for u = x +1, u2 = x? + 3, u3 Va using the…

A: b. Given that               u1=x+1, u2=x2+3, u3=x Using Gram-Schmidt orthogonalization process for…

Q: Let S be the set of all (nonnegative) 4-digit integers. How many integers does S contain? Enter your…

A: Solution:-

Q: Question 3 While investigating the effect of temperature on CPU performance, analysts determined…

A: Solution : A) x%=pf(p)=-1.515p-5 8-0.04p+0.48p17f is rate of change of frequency to find freequency…

Q: 5. Let G be a group and n e Z+ be fixed. Show that H = {a" | a € G} is a subgroup of G

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Q: Solve the DE: dy sin ) + dx II

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Q: Consider an oscillator satisfying the initial value problem u" +w?u = 0, u(0) = uo, u'(0) = vo- %3D

A: Given initial value problem: u''+w2u=0, u(0)=u0, u'(0)=v0   To find:  (a)let x1=u, x2=u', and…

Q: TRUE OR FALSE 19. Declarative sentences are propositional functions. 20. If Marikina is the capital…

A: 19. A declarative sentence is a sentence which is used to  declare some facts .so a declarative…

Q: azu Q5) Find u such that ax2 with u(x,0) = 0.5x2, u(x, 10) = 0, u(0, y) = 0, = 0 %3D u(20, y) = 1…

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Q: The area of the region bounded by y=x2+2, y=−x, x=0 and x=1 is

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Q: 4) Solve the boundary value problem y -3y' + 2y = 0 with y'(1) = 1 , y(3) = 2e* - e? h = 0.5

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Q: II. Let U = R I= {x €R|x - 14x + 45x = 0 J= {x €R|x s6} S = {x €R| |2x| > 2}. } Find the following.…

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Q: 1. Solve the simple concentration problem P.D.E. xux + U̟ = 0 ,-0 < x < ∞, 0 < t <∞ I.C. и(х,0) By…

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Q: A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise and…

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Q: e-"dy dx -0. cos y 1.21.

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Q: 3. Construct a formal proof of validity for the argument. ~(a^(byc)) → ~(~d^(a v (byc)/NTS (need to…

A: 1) ~(a∧(b∨c))→~(~d∧(a∨(b∨c)))             premise  2) ~d→(a→(b∨c))…

Q: (a) Which of the following matrices are orthogonal matrices? Explain your answer. 1 0 0 1 1 1 2 3 0…

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Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: Prove using rules of inference.

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Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

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Q: Jy cosy smy dy 3

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Q: Evaluate the Inverse Laplace Transform: 4s-2 F(s) = s2 –6s+18 O f(t) = 4e* (cos 3t – sin 3t) - O…

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Q: A jet plane is flying west at 5 feet per sec at an altitude of 4000 feet. The plane is in vertical…

A: Solution:-

Q: sin(z) Evaluate the integral Tz+1)(2² + 2) dz where C is the circle |z – 2i| = 1.

A: We have to evaluate the integral ∫Csinzz+1z2+2dz where C is the circle z-2i=1

Q: TRUE OR FALSE 10. Addition and Simplification can be applied to part of lines of proof. 11. If p, q,…

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Q: Let S be the set of all (nonnegative) 4-digit integers. How many integers does S contain? Enter your…

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

Q: OStく2 ャt -e" +4 ュ the IVP: y"a-4y+4y= yco) = 4,4c0)= -1

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Q: A circus tent is made in the shape of an octagonal prism and octagonal pyramid. If the side of the…

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Q: Given the 1st Order Ordinary Differential Equation and a corresponding Initial Value Condition: e*…

A: Solution: Given the equation, exy'=y2 , y0=1where, 0≤x≤0.5 and h=0.05 now, y'=y2ex⇒dydx=y2ex…

Q: 5 solve the 1UP: y% 4y(2)+ 3y'= Y1)=e+ % ,uG) = et %

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Q: 1. If the statement "for some x, P(x)" is false, then the statement "for every x, P(x)" is false. 2.…

A: This is a problem of Logic.

Q: 4. Let D = y²z°ãx + 2xyz³ ày + 3xy?z² đz pC/m² in free space. a. Find the total electric flux…

A: Solution:-

Q: 3. Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Let the radius of the cone = r  height of the con   x = √(R^2 – r^2) and h=x+R , h is height of the…

Q: For the table shown below, calculate the first f '(3) using the five points formula:…

A: We have to calculate f'3 using the given five points formula.

Q: 2.) Verify the conclusion of Green's Theorem given F(x,y) = (ye",e") and C is the boundary of the…

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Q: Calculate the volume of the solid that is limited superiorly by the sphere x2+y2+z2=9 and inferiorly…

A: To Calculate: Volume of the solid bounded superiorly by x2+y2+z2=9 and inferiorly by x2+y2=z2.