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Q: Solve the system of linear equations using iterative methods 6x1 + 2x2 + X3 = 26 2x1 + 8x2 - 2x3 =…

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Q: 5. (a) Solve the simultaneous equations: 4x + 2y = 20) 5x – 2y = 7 5 %3D (b) M = ) N= ) 2 М — -2.…

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Q: If the acceleration function of a certain particle is given by a(t) the velocity function provided…

A: Velocity is the rate of change of position of a particle with respect to time. Acceleration is the…

Q: Let g(x) = xe"“. a. Find a series representation of g' about the origin. 2n +1 b. Use a. to evaluate…

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Q: For the pink region bounded by a parabola with vertex at (-1, 11 ) and the green line, solve for: a.…

A: Given, equation of parabola y=-a(x-h)2+k, with vertex (-1,11) ⇒y=-a(x+1)2+11 Given two points on the…

Q: 260° to Find the value of x 5. Ox= 260 O x = 100 Ox= 130 Ox- 80

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Q: Consider the function defned by fCX, y) - y-ex (a) Find the domain and ran ge of f. (b) Draw a conto…

A: Given data  f is a function x&y  f(x,y)=y-ex  (a) find the domain and range of f=? (b) draw a…

Q: Which of the following is true? 1 1 O A. is a basis for M22. 0 0 1 1 OB{(; ")·(: :)·(; :)·(: )} 0 1…

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Q: (a) Evaluate the integral using integration by parts rule if x' cos' 2x dx (b) Express the…

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Q: 27TT 5. x = y? and x + y = 2 is revolved about y = 1. (Answer: с. и. ) %3D 2

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Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = –3 4. lim f(x) = +o, 3. lim f(x) = -2, lim…

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Q: 2. Here is a chart of blood pressure (in millimetres of mercury, mmHg) for a group of students:…

A: The formula for the Nth decile is given by DN=L+N·n10-cff·c. Draw a table and then calculate the…

Q: nay construct orthogonal vectors a an V such that for each k

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Q: Use the trigonometric and substitution techniques to evaluate the following integration problems.…

A: (1) To solve the given integral ∫0π23cos3xsin2xdx

Q: b) Find O Using the chain rule to find de x-1 dy of y= dy of y sin 1-xy ) Using the implicit…

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Q: 4) Consider the function g defined by gx, y) = car (7x Jj ) + logg(x-y) does 9 have the maximum (c)…

A: Given the function gx,y=cosπxy+1log3x-y To find in which direction, the function has the maximum…

Q: Find Dy, Dx and the value of x, y,z    x + y + z = 2   6x -4y+5z=31   5x +2y+2z=13

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Q: 1. Find the general solution of the linear differential equation using undetermined coefficients,…

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Q: Show, using truth tables, that (a) ¬(p V q) A r = -p^ (¬q ^ r), (b) -4 v (q V p) is a tautology.

A: (a) To show ¬p∨q∧r≡¬p∧¬q∧r using Truth tables. (b) To show ¬q∨q∨p is a tautology using Truth tables.

Q: Four subject teachers Alice (A), Diana (D), Georgina (G) and Hellen (H) are to be assigned four…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

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Q: Pr. #14) Find and sketch the domain of the function in R2. In [sin- ()] (x, y) x2+y² %3D -

A: This is the problem of multi-variable functions.

Q: Show that r =1+i, x2 = 1– i is a solution of (3+ i)x1 + (1+ i)x2 = 4+4i

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Q: 2. At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

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Q: and

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Q: tind the remaininn parts of the spherical trinngles 95 09' 7" C 79°18'29", C= 900

A: Given: a=95°09'17''c=79°18'29°C=90° To find: Parts of spherical triangle

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A: We have to solve given problems:

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Q: 7くt<12 t.

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Q: 1 F(s) : (s-2)(s-4)(s-8)

A: Use the Laplace table.

Q: J(s) = s(s +2s +2)

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Q: Suppose P(A) = P(B) = 0.2 and P(AN B) = 0.1. What is P(AU B)?

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Q: 1.) s 10e-35 2.) s² +4 se 3.) s² +1

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Q: Let W = {(0, x, y, z): x + 6y- 9z = 0} be a subspace of R. Then a basis for W is: O (0,6,1,0),…

A: Basis for a subspace of a vector space

Q: 1. Use the Euler, improved Euler and Runge-kutta methods to solve the following ODES: C. y co) = し…

A: Forst we will use the Euler's Method then improved Euler's Method and in last we will use Runge…

Q: Find the Laplace transform of 0 2 (t – 6)² + 2 cos

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Q: Let W = {(" ) :a + 2c = 0 and b-d = 0} be a subspace of M2.2. Then dimension of W is equal to: O 4 O…

A: Dimensions of the subspace of a vector space

Q: 10 Find the value of x: to 70° degrees

A: Centeral angle and intercepted angle of a circle are same

Q: 1. Evaluate the following integrals. b. I – 2.x² +1 dx

A: Properties of integral  ∫xndx=xn+1n+1+C∫[af(t)+bg(t)]dt=a∫f(t)dt+b∫g(t)dt∫f(g(x))g'(x)dx=∫f(t)dt

Q: Find the values of w, x, y, z and Dx, using Cramer's Rule x + y + z + w = 13 2x + 3y - w = -1 -3x…

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Q: The predicted sales revenue of the ABC Company, in tens of millions of dollars, is given by f (x) =…

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Q: Points P, Q, and R are located at (/17,104°, 8), (/14, 333.4°,36.7°), and (-1,2, 3), respectively.…

A: Given points areP17, 104°, 8, Q14, 333.4°, 36.7°, R-1, 2, 3The points are converted into cartesian…

Q: Consider the series E 1+* (a) Find the series' radius and interval of convergence. (b) For what…

A: We have given a series ,  ∑n=1∞ 1 + 1n6n x9n Here , an = 1 + 1n6n x9n (a) We need to find interval…

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Q: Evaluate the integral +00 X3 dx. 1+ x2 0.

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Q: • MMD7;10 Let M = Then M is a basis for M2,3 O the above M3,2 the above None of the mentioned

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Q: Let M = {(, ¿ )-G i )G : DC : D Then M is a basis for M2,3 the above M3,2 the above O None of the…

A: Given that     M=110000, 110010, 100101, 100001

Q: Let S = {a, b, c, d}, and let f1: S → S, f2: S → S and || f3: S → S be the following functions: fi =…

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Q: Which of the following sets is linearly independent in P2 ? {-1+ 2x,5x², –2 + 4x} the above set O…

A: A subset f1, f2, f3, ... , fn of a vector space ℙm is said to be linearly independent if…

Q: Solve the differential equation dy + y = 4xy³, y(0) = 1 dx

A: We have to solve the given initial value problem dydx+y=4xy3,  y(0)=12 .