Example: Solve the following system of linear equations using Crout method. 1 1 -4 -1) x2 = (2 0 -1 (4 (X1' 4 \X3. Answer: x1 = 0.4028 x2=-0.6111 x3 = 0.8472

Q: Given two lines L1 : x =t+1, y = 3t + 1, z = 2t – 1, and L2 : x = 2t – 2, y = 2t + 3, z =t +1,…

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Q: Solve the differential equation dY AY dt for (; 1). vm - () 3 Y(0) = A =

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Q: For the function y =In (1-x), determine its a. MacLaurin Series expansion up to fifth degree. b.…

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Q: Express the complex number below in polar form - 3+Jai ? a. 253 (cos s%G+ i sin sã ) 6. 3 + 3. d.…

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Q: gcd(334'517º, 210579l1312). Determine the value of æ. Let x O 5 O 180 O 20 O 60 O 220 O none of the…

A: The given problem is to find the gcd of the given two numbers in the exponent form. Given…

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A: Given, A veterinarian has instructed Harrison to give his 75-lb dog one 325-mg aspirin tablet for…

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

Q: Q7-8. Is it possible to convert a present value of an ordinary annuity table to the present value of…

A: Given:To convert  a present value of an annuity of an ordinary table to the present value of an…

Q: Find a primitive root (i.e. a primitive (p? – 1)st root of unity) in F3[i], and write down the…

A: F3i : It is the unique field of three elements. It can be defined as the ring of integers of modulo…

Q: PROBLEM # 1 t3uy +5uz, FOR THE VECTORS A= Ux B= 2 Ux + 4uy + Guz, and C=3ux +4uy +5uz, Sko SHOW THAT…

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Q: A compact disk spins at a rate of 200 to 4000 revolutions per minute. What are the equivalent rates…

A: As per the company rule, we are supposed to solve one problem from multiple problems. Therefore…

Q: Tank # 1 initially holds 50 gals of brine with a concentration of 1 lb/gal, while Tank # 2 initially…

A: Given: Tank1: The volume of tank 1=50 gals x1(t)= amount of salt at time tx1(0)=50 gals× 1…

Q: 1-x 2 3 If 0 x 0 = 0, then its roots are: (a) 1 only (b) 0,1 (c) 0 only (d) -1,0,1 Select the…

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Q: 11.1 Can you suggest a method for using the reduced-form (11.4) and (11.5) to obtain an estimate of…

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Q: At a salsa lesson there are five boys: Adam, Bob, Chad, Dave, and Evan, and five girls: Fay, Gail,…

A: Option b that is 120 ways

Q: Prove the following statement using an element-chasing argument. If ACBUC and AN B= Ø then A C C.

A: Let x be any arbitrary element in the set A.  Then as A is a subset of B U C, x must be an element…

Q: Find the directional derivative of V.U at the point (4, 4, 2) in the direction of the corresponding…

A: We have to find the directional derivative of ∇·U at the point 4,4,2 in the direction of the…

Q: 5 =DA

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Q: 2. (2x – 3y +1)dx– (3x+2y-4)dy = 0

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Q: To have more depositors, new investment products must be made to the small businesses and single…

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Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: The gradient vector field for a function f:R2→Rf:R2→R is given in the attached image: f has a…

A: a) point where the function f has a saddle point at the point D and H some vector are positioned…

Q: f (t) = sin? 4t + cos? 4t 4+s А. s2 +16 С. s2 +32 В. s(s2 +16) D. s2+16

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Q: Q1:- Solve the following DEs:- xy2-cos x sin x y' = У(1-x?)

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Q: Find the values of x,y and z using Gauss Jordan method.

A: We have given a system of equations ,  3x + 4y + z = 102x - 3y + 5z + 9 = 0x + 2y - z = 6 This…

Q: Compute log z dr 1+r² 3.

A: Given integral is  ∫0∞logx1+x2dx

Q: The measure of arc BC is 97 degrees. What is the measure of angle BCE to the nearest 100th? C D Type…

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Q: In the past 20 years, Wonderful Water Park had eighteen million, four hundred twenty thousand…

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Q: Since we have sin(r +y) sin(r) + sin(y), the function sin(r) is a linear transformation.

A: We know T: V--->W  is said to be linear transformation if, T(x+y)= T(x)+T(y) for all x,y in V…

Q: Solve the equation xcosy dy+(x+2)siny dx=0.

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Q: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order…

Q: Formulate a LP model for the OECS bank that will maximize net returns from the loans division and a…

A: formulate a L.P model for the OECS bank that will maximize net returns from the divisions and a…

Q: Determine whether each of the following statements is true or false. You do NOT need to explain. Let…

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Q: Find the solution. dy y dx A y = -3x B 3x c y = c-3 y = c+x

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Q: Estimate one real root of f (z) = 0.95z - 5.9e + 10.9z -6 using three iterations of Newton Raphson…

A: This is a problem of Numerical analysis.

Q: On July 3, the ABC corporation closed at $43.67. This was a $0.47 increase from the close the day…

A: Given on July 3 the ABC corporation closed at $43.67. this was a $0.47 increase from the close the…

Q: For this exercise, we will define the universal set to be the set G = {-3, –2, – 1, 0, 1, 2, 3, ...,…

A: We see, G = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6} D = {-3, -2, 2, 3} E = {1, 2, 3, . . . . . , 10} [as…

Q: 4. Curl of f (x, y, z) = 2xyi + (x² + z²)} + 2zyk is a) xy? î- 2xyzk & irrotational b) 0 &…

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Q: f(x) 2 4 8. 10 12 14 CO

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Q: 5. In previous problems dealing with two species, one of the animals was the predator and the other…

A: (b) we have given the system A dxdt =-5x+2xydydt =-4y+3xy we have to determine all the equilibrium…

Q: f(t) = t sinh 5t 5s 5s С. (s2+25)2 А. (s2-25)2 10s 10s В. (s2-25)2 D.- (s2+25)2

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Q: Show that for every positive function f on R there is a monotone increasing sequence of integrable…

A: We need to show that for every positive function f on ℝ there is a monotoneincreasing sequence of…

Q: 21 then find the value of (- A2 + 6 A)? 4 If A 3 -2 1. -2 [2 07 0 2 [2 4. elect the correct…

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Q: SAP

A: Given, f has a derivative on an interval I, and f' has successive distinct zeros at x=1 and x=5. To…

Q: ctor space? If not, why not? 7. Let C denote the set of all convergent sequences of real numbers…

A: see attachments pls

Q: Which one is not equal to o V(x + 3)³ dx. lim, 100 E i=n-1 (음 + 3)3. O lima-00 1ri=n-1 Li-0 2i+1 +…

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Q: Let f(z) = sin z. Use the Maximum Modulus Principle to find the maximum value of f(z)| as %3D z…

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Q: A standard dorm bedroom at most collegue 10ft wide by 15ft long. A LEGO 2by4(2*4) brick is 0.90cm…

A: The formula to calculate the volume of a cuboid is V=lbh, where l, band h are the length, breadth…

Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: f(t) = t5e4t 120 А. (s-4)6 24 С. (s-5)6 120 В. (s-4)5 24 D. (s-5)5

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