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Q: 3.1. Prove that the square of a rational number is rational, using direct proof.
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Q: > Σ Write nCnxn+2 + (n- 1)C,x"-1 as one power series. | n=0 n=1
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Q: Question 8 The following function is homogenous of degree what? f(x, y) = Vx²y² + y +x 1 other/not p...
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Q: Use Newton Raphson Method to find the Positive root x of the following function, start with x,-0.04 ...
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Q: Plz solve this particular soloution like the example that i attached Solve using second method that ...
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Q: Use Euler's Method to find a numerical solution of the differential equation dy y 3+ dx With initial...
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Q: Find the local extreme values and saddle point of the function f(x, y) = 2x3 + 2y3 – 9x? + 3y? – 12y
A: The given problem is to find the local extrema values and saddle points of the given function of two...
Q: 8. - 2] -3 -2 3 2 -1 2 -4 Given A= and B = and C = 8 and D= 5 3 4 - 7 4 4 8
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Q: Derive the following rules from the Logical Equivalence Rules. 1 Absorption Laws 2 Material Equivale...
A: This is a problem of logic.
Q: Use the Condorcet method to determine the winner of the election. Four students are running for pres...
A: We make the comparison for the following pairs A and BA and CA and DB and CB and DC and D A and B ...
Q: 5. Prove that if a matrix A is invertible and diagonalizable, then matrix A-1 is also diago- nalizab...
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Q: Don't use calculator to solve.
A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approxi...
Q: Find the first, second, and third divided differences for the given values 3 4 1o 17 26 fo|5
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Q: 4. Find the general solution to the differential equation y²y" = y/ (where y' = )
A: To find solution of the differential equation: y2y''=y'
Q: a) Find the 4th approximation of the positive root of the function f(x)=x-7 using the bisection meth...
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Q: Let n > 2 and let æ1, x2, ... , Xn+1 € R with x; x1 for all 2 j Hint: You may use the elementary fac...
A: “Since you have asked multiple questions, we will solve the first question for you. If you want anys...
Q: 1. (C'B)A" 3 4 B 3= 4 2 A = -1 C = 3. 1 2. tr(4ET – D) 1
A: This is a problem of linear transformation.
Q: Use Green's theorem to evaluate the line integral I of the one-form W = + æ sin? (y)) dæ + (x² cos(y...
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Q: Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocit...
A: Distance (Mpc) Velocity (km/s) 51.8 4,590 12.2 1,234 271 17,695 46.2 3,752 58.2 5,118 46...
Q: Sunset bus leaves lautoka at 7.15 am andreaches Pacific harbour at 10.15 am covering distance of a 2...
A: Time from 7:15 am to 10:15 am is 3 hours, Total distance is 210 km The average speed of the bus is...
Q: Writing logical notations to compound statements p: Man is rational. Let q: A century is 100 years. ...
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Q: Find x if the vectors a = i+j+2k ; b = xi -j+k;c = 3i - 2j - k are coplanar or linearly dependent. %...
A: Introduction: The scalar triple product is another type of product that deals with both scalar and c...
Q: Question 2 (Round to 2 decimals when needed) Solve for the optimal x*, y*, and 1* of the following p...
A: For the solution of ghe problem follow the next steps.
Q: A large tank contains 100 gallons of brine in which 10 lbs. of salt is dissolved. containing 0.2 lbs...
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Q: Find the Taylor Series for vx centered at x = 1. (If not possible to write in Summation Notation, wr...
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Q: dy Find -given that dt dx x2 + y? = 2x + 4y, x = 3 y = 1, and 7 dt dy dt
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Q: Let V = R?. For (u1, u2), (v1, v2) E V and a €R define vector addition by (u1, u2) H (vı, v2) := (u1...
A: From the given formula of the vector addition, it is obtained that u1, u2⊞v1, v2=u1+v1+3, u2+v2-3. S...
Q: net price is RM 1,565.20, find the value of p.
A: Since you have asked multiple questions here, we will solve the first question for you. To get the s...
Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...
A: Given:y=2x3-15x2+36x-14
Q: Discretize the differential equation y"+y' +4ty= {t – )), y'(0) = 2, y'(3) = -2 with step-size h =
A: The differential equation given is as follows y''+y'+4ty=δt-32, y'0=2, y'3=-2 The central difference...
Q: Evaluate SS 5ex+y+" dV over B where B = {(x, y, z) : x² + + z² < 1}. Take = 3.
A: The integrals in the form ∭f(x,y,z)dV is called a triple integral. In this problem, we have to evalu...
Q: -4 9 Figure out whether the matrix B = is diagonalizable or not (i.e. whether R2 -4 8 admits a basis...
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Q: Given constants a,b,c, and d such that x2+ax+12 has factors of (x+4) and (x+b), and x2+cx-4 has fa...
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Q: Writing logical notations to compound statements Let p: Man is rational. q: A century is 100 years. ...
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Q: 3s-2 2s2-4s+2
A: The given function is 3s-22s2-4s+2
Q: 2-Simplify first, then determine the exact value. (sin7n/24 + cos7a/24)2
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Q: Show the derivation of formula for the conversion from spherical coordinates to rectangular coordina...
A: please comment if you need any clarification. If you find my answer useful please put thumbs up.Than...
Q: Four candidates are running for mayor of Enterprise: • Cooper (C), • Vickers (V), • Brooks (B), • Sm...
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Q: Find an equation for the graph sketched below -구 -5 -4 -3 -2 -1 -2 -6 f(x) =| Preview %3D
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Q: 1. (C"B)A" 3 A = -1 B = -1 4 C = 1 2. tr(4ET – D) 1 1 1 2 6. 1 3 D = -1 1 E = -1 1 3 2 4 4. 3
A: To evaluate the given matrices.
Q: Q3: Use Euler's Method to find a numerical solution of the differential equation dy y = 3 + dx With ...
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Q: Consider the integral ? + y² + =?)-1/2 av E where E is the solid between the spheres 12 + y2 + 22 4 ...
A: Volume integration
Q: Let V be a vector space of dim 3 over R let T : V → Vbe a Linear Transformation 1. -1 given by the m...
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Q: (5) Show that if n ɛ Z+ is odd which is divisible by k distinct primes, then the congruence x2 = 1 (...
A: Chinese Remainder Theorem: If a1,a2,...,ak are integers, and m1,m2,...,mk are pairwise relatively pr...
Q: F22) Determine one of the roots of f(x)=x' +1 · using the Newton Raphson method and an initial guess...
A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation: f...
Q: Let A, B, and C be invertible matrices. Then (4C2BTA-1)-1 is equal to 글A(BT)-1C-2 None of the mentio...
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Q: Find all complex numbers z of the form 2 =x+iy such that that ZZ = = 25 and *+ y = 7.
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Q: 1 2 3 4 5 6 7 8 0 A = Calculating the inverse of A manually is probably not a pleasant work. Here th...
A: Let , A = 123456780 We need to find Inverse of A. We will Gauss-Jordan Elimination method, Since , w...
Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5) ...
A: A function is continuous in the interval, if the pen is not lifted while tracing the curve in that i...
Q: Find the domain of the following vector-valued functions. i) Ř(t) = cos t î – k ii) Š(t) = (t², VE –...
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