show that the inverse of arotation matrix is transpose,which is also arotation matrix, and it is generally not commulative

Q: ду Assume that the relation In (x°z°12) + 6(x – 1)y + 512xz + 729y°z=0 defines y implicitly as a fun...

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Q: find the apPhto Ximation of the follou) values, which Ts different between the intesors 22/7 da 2+ s...

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Q: Scott surveyed 40 friends on Facebook and asked them where they were born and where they went to col...

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Q: Which of the following statements are TRUE? Select all that apply. O If a=0 in a Taylor Polynomial t...

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Q: 4y 6. Consider the solution to the differential equation y' with y(1) = 1. 3x %3D (a) Apply Euler's ...

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Q: 11. Let S= {| -2 }. Show that u= E span S. 1 2

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Q: A circle is defined by x + y = 9. The area bounded by circle and y-axis on quadrant II and III is re...

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next ...

Q: If S = 1 +3 + 3*3 +3*3*3 + 3*3*3*3, then S = ? 121 120 241 242

A: Given S = 1 + 3 + 3*3 + 3*3*3 + 3*3*3*3

Q: 1- Find dB/dx for the follow ing functi'on a)- xy = Cot (xy) b- y Sim(hs =-メy %3D c)- y?cos () 2x+2y...

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Q: Solve the following linear system using the Doolittle and Crout’s decomposition method(s). 2x1 +x2 +...

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Q: Describe congruence conditions on p > 2 an odd prime that classify exactly when 11 is a quadratic re...

A: We have to describe congruence condition on p>2 an odd prime that classify exactly when 11 is a q...

Q: Let O be the set of Odd integers and E be the set of Even integers. Find (0-E)U(E-O). Answer:

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Q: 2z x(z) = 2 1 2

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Q: II. Determine whether or not the following sets of vectors {u , v , w} are both orthogonal and ortho...

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Q: Q. Sketch the given region and then evaluate appropriately xy şdydx 1+ x2 + y (i)

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular ...

Q: Consider the differential equation: 2 9y"y" – 6(y')² = y" When making the change of variable v = y'i...

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Q: Express the answer of the following problems in form rciso with and -Tss下 O Z: I+i 1-i3

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Q: Suppose z = 7+-8i and w = 9 + 7i. Then Re (2)=?

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Q: a) Prove that S is a subspace of R', find the dimension and two basis B1 and B2; 1. Consider the set...

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...

Q: 5. Fill in the blanks Let y be a solution of the differential equation 2 * - (). T+y-1 I+y+I where x...

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Q: In the question that follows, the "units digit" of a number is the last digit in decimal representat...

A: 41 = 4 42 = 16 43 = 64 44 =256   Conjecture:- For all n>=0, If n is odd then Unit digit of 4n is ...

Q: V.  Express each statement in “if-then” form. 4.     Each angle of an equilateral triangle has a me...

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Q: 1 1 + (1 – x)3 4 fg(x) (1 — Зx) | Find a recurrence relation for an. Note g(x) = >, an*x" %3D

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Q: a) State the condition for a matrix to have left inverse. Find the left inverse if it -4 -3] exists ...

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Q: Evaluate the Following Integral ([asin (3x) - 2 cos (3x)] csc" (3x)dx 5.

A: Evaluation of the integral

Q: Let V = P5(Q) the vector space consisting of polynomials in the variable x of degree at most 5. Let ...

A: See below for soluton.

Q: 1.8 (3-2) (7- y?) 2) (7 – s²) dz dy -1.8 -1.6 using an adaptive Gauss-Legendre Quadrature method.

A: The integral given is as follows: ∫-1.81.8∫-1.61.63-x27-y2dxdy We are asked to solve the integral us...

Q: (f) A calculator is sold under hire purchase term. A deposit of 560/- is required and a monthly inst...

A: given ,under  hire purchase term , deposit  = 560  (required) cash price of the calculator = 3820 an...

Q: 1. Give an example of mathematical model that is used in Agriculture. And explain these: a. How is ...

A: To give an example of mathematical model that is used in Agriculture.

Q: Consider the following recurrence relation and initial conditions. bk = 8bk - 1- 12bk – 2, for every...

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Q: We hit 1 on a calculator, then repeatedly hit cos button. What is the fixed point iteration? Find so...

A: According to the guidelines, we are required to answer only first two sub-questions. Kindly post the...

Q: For the vectors i and v given below, find ủ v, the hermitian products ủ into v and v into u, the Her...

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Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3. li...

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1 ddx(x+1...

Q: Use the method of undetermined coefficients to find the particular solution y, y" – 4y" + 4y' = 2x –...

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Q: Consider the function sin sin(xy) = y a)use implicit differentiation to find the derivatie y(x) at ...

A: Given that  function sin sin(xy) = y To find the derivative of tye function and equation of the tang...

Q: Consider the following set. S = {(2, 0, 0), (0, 8, 0), (0, 0, −18), (2, 5, −9)} Solve for c1, c2, c...

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Q: dx to

A: Given: ∫84x2+12dx To evaluate: The given integral.

Q: Let u be the unique solution of where (x, t) e (0, 1) x (0, 00),u(x, 0) = at ax? sin Tx, x e (0, 1) ...

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Q: Let G be a finite group and H1, H2,., H be subgroups of G. ..... (a) Show that NHi = H1N H2 n..n Hk ...

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Q: If Ax = ax for nxn matrix A, nx1 matrix x, and a E R, determine a scalar 3 with the property that A2...

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Q: lcu Iculator is a monthly

A: Solution:- We know, Hire purchase price = Required Deposit (or Down Payment) + Total Amount paid thr...

Q: tudents from a school formed four teams to collect cans for recycling during the montha of April and...

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate meth...

A: Formulas of differentiation and integration  ∫xndx=xn+1n+1+C∫1x=lnx+Cddxxn=nxn-1

Q: Let B= (b1,b2), C=(c,,c2}, be bases for R2 b1=(-5,-3), b2= (3,2), c1=(1,3), c2 = (1,2) %3D Find the ...

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Q: The number of units in Z23[x] is 30 O 22 None 28

A: We need to find number of units in ℤ23x. We know that units in ℤ23x are those elements which have an...

Q: g. cquation of axis of symmetry h. equation of directrix i. coordinate of the Focus j. coordinate of...

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Q: I. For the given vectors i and v , find the value of u · v and normalize = (3,–1,9, –10) 2. й 3D (3,...

A: 1. Given u→ = (2, 7, -1, 20)v→ = (3, -1, 9, -10)Sou→.v→ = (2, 7, -1, 20)·(3, -1, 9, -10)        = 6 ...

Q: The graph of function g is shown below. Use the graph to answer the following questions. y g(x) 3 A....

A: Consider the following figure.

Q: Q. find the apPtoximation of the follo values, which Ts dfetent betueen the intelers 22/7 dr - 2+ si...

A: We can solve this using trapezoidal rule

Q: To show that rπ/2 sin" x cos" x dx: (m - 1) (m- 3) ... × (n – 1) (n - 3)... (m + n) (m + n - 2) (m +...

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