[ 1 If A= -1 0 find x and y such that (xI +yA) = A

Q: 1. Express the followings in the form of x + iy where r, y E R.(choose one.) (a) 금+ 부 (b) ( + ) ( –…

A: Rationalise  all the term and calculate to get the final answer.   Actually as per the barteleby…

Q: Question 1 -x2 1 4a?t prove that VE If v = dv ôt

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Q: In the figure, ZY = ZX and YZ is produced to T. Prove that YT> XT. Y

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Q: 2. In each of the following, find fyzz, fryx, fxyz. 2. f(x, y, z) = lIn(xyz) + 2² tan¬'(e"Y)

A: I am attaching image so that you understand each and every step. Note:-  2nd subpart is more…

Q: If f(x) = –3x + sin(47x) for x E [0, 1], find the smallest value of c E (0, 1) which satisfies the…

A: The Mean Value theorem states that for a continuous and differentiable function f(x) on the interval…

Q: If r(t) = (V10 – t, In(t – 1), sin(2t)) - then the domain of r is О 11, 10] (1, 0) O [1, 10) O…

A: Explanation of the answer is as follows

Q: Let R be and bl#0) = iff a with unity - Let a l#0) in R- Show that and b an I.D are are associates-

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Q: Which of the following characteristic equations is primitive ? Select one: а. х3 + 1 b. х3 +х+ 1 С.…

A: Option B is correct...

Q: Solve the following forr W=4xc for c %3D C = (Type an exact

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Q: Show that (A − B )T = AT − B T .

A: Given  (A − B )T = AT − B T

Q: Given g(z)- In(8z +z), the derivative g(z) is %3D O 8z + O 9z O 72z +1 7278+1 O 72r +1

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Q: f A is a 2 x 2 with det(A) = 5, then det(4A-1) = %3D 80 -) 20 16 5

A: We have to choose the correct answer from the options according to the given condition

Q: 5. Show that for every value of the real parameter a, the equatic z° + z + a = 0 a root in every…

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Q: 3.Eliminate the arbitrary constant on the given equation: xsiny – x²y-3 = C

A: In this question we have to eliminate the arbitrary constant on the given equation.

Q: Let a e R" and let A = aaT. Show that xT Ax = (a" x)².

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Q: (2) Find the following a f a.) f (x,y) = cos (x y) -x³+y4, find D fyx and i) axaxa %3D

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Q: By using Rodrigue's formula, prove the following relation Ph+1(x) – Ph-1(x) = (2n + 1) P,(x) 4- %3D

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Q: for z = In(2® + y*). Find

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Q: Chapter 4] If f(x) = dt, where g(x) = 1," (÷) V1+t3 [1 + sin(t²)] dt, find f'

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Q: -ALef xe Rbe Such thad Xn→x, show that Yn = xi %3D 4 X.

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Q: 4. Evaluate both sides of Green's theorem, for: F = (-x²y,xy²) where C is shown in the following…

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Q: If f:(0,∞)→Rf:(0,∞)→R is defined by f(x)=xln(2x)f(x)=xln⁡(2x) for every x∈(0,∞),x∈(0,∞),  then…

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Q: HW klx) = 2x+5 ㄱ 1. Find ke-¹(x) 2. Prove by kokorklok

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Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

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Q: | 3t In(t)dt

A: We have to solve this question with the help of by parts integration. ∫fgdx=f∫gdx-∫∂f∂x∫gdxdx It is…

Q: 10.Show that Φ(t) = Ψ(t)Ψ−1(t0), where Φ(t) and Ψ(t) are as defined in this section.

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Q: 1. Rewrite c(x) x² +5x+2 in the form y = p(x) + r(x) where r has degree less than b. x-3 6(x) 2.…

A: The objective of the question is rewrite the given equation and end behavior.

Q: Given the function g(x) = :/ V4 + sin(31) dt, 2x3 use the Fundamental Theorem of Calculus Part 1 to…

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Q: Find the least positive root of f(x)=x cosx-1 as shown in Figure Q1(c). (c) -4 -6 -8 +-10 Figure…

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Q: (-1+i/3)°, by using deMoivre 's theorem

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Q: In the given figure, X > K. Prove that WY> JL. K X Y W

A: Here , we have ∠X&gt;∠K we have to prove that WY&gt;JL

Q: Integrate the following: ,S (x4 – 5æ³ + 6) dæ - 1. So(1- r)*dz su(1– 2.

A: These questions are related to indefinite integration, we will use use integration formulas and…

Q: 4. Prove that if f(x) = agx" + a,x"-1 +..+ an-1x = 0 has a positive root x = xo, then the equation…

A: Note that f0=0 and that fx0=0. So using mean value theorem there must be some 0&lt;λ&lt;x0:…

Q: Verify that u' (t – a) = 8(t – a) by solving the problem x' = 8(t – a); x (0) = 0 to obtain x (1) =…

A: What is Laplace Transformation: Laplace transformation is crucial for control system design. Laplace…

Q: Problem 3. Prove that - r = y Ay = z →x = z.

A: By proportional logic we have,         P→Q ≡¬P∨Q

Q: Prove that x" dx „n+1 + C, n + 1 for n + -1.

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Q: 2 2 2 1+ 2 t3十 Cn)和 9 Prove that

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Q: If a function f(x) = ax³ + bx2 + cx + 1, where a, b, c are integers and a > 0 is such that %3D f(…

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Q: 1. Use the Fundamental Theorem of Calculus Part II to evaluate each of the following: a) (5* +4x…

A: As per bartleby guidelines we only give first three questions answers.

Q: 2. Find the following. 5 – xy? Zy if z = 3x + Y

A: For a function in two variables, the partial derivative with respect to a variable say x can be…

Q: WD DY because ZX is a perpendicul WX = XY because of Theorem 12-8. Find the value of x to the…

A: Theorem: The perpendicular from the center of a circle to a chord bisects the chord.

Q: Write a in the form of a = a„T+a„N at t = 0 without finding T and N first if r(1)=(2+3¢+ 3¢°)i+(4+…

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Q: he joint pmf of X and Y is given below. What is E()XI-M)? Y -1 1 X 1/16 1/16 1/16 1/8 1/16 1/8 1/8…

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Q: x+1 Q1/ Prove that coth-1x = x-

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Q: Show that (A − B)T = AT − BT .

A: We have to use the properties of subtraction of matrices and matrix transpose operation. In matrix…

Q: Find f, and f and evaluate each at the given point. F(x, y) = e*y?, (In 4, 2) f(x, y) f,(x, y) =…

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Q: 24 1 a) Evaluate J x-8xy+16y² dxdy=? 2

A: Given that the double integral  To find:- solve the double integral