Show that if a, b, c ER then: (i) − ( ² ) = (-)--)) b (j) 1-¹ = 1. (k) -0 =0. (1) Prove that 0 is the only real such that Va € R, a +0=a and that 1 is the only real such that Va € R, a. 1 = a.

Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare

A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..

Q: Q2] Find the lower bound of Iz - 3|if |z - il < 1

A:

Q: If k >= 2 and x in R^ k prove that there exists y in R^ k such that y ne0 but xy = 0 Is this also…

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A: Given: A function, f(t)=sin2t,0&lt;t&lt;π0,t&gt;π To find: Laplace transform of given function.

Q: нас 2 obtain the Fis for f(x)= X-X² in the interval [-^, ^] ? Solution ht! 2 ans : = = =+ 25 (1452…

A:

Q: Prove that for a # -1, a>0,n EN IS (1+a)^ n >=1+na.

A: Here let A=(1+a)n, a≠-1, a&gt;0, n∈N and B=1+na

Q: (- co, 49/30] 2 2 4 [-4, co) (5) 2 3 3

A:

Q: (2) DE (D² D²-70³-11 0²-80-12/9=0

A: A detailed solution is given below.

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

A:

Q: 5] What is the particular solution ( yp) of the ODE ( dx +y 4e*)? a) Ae* b) Ax³e-x c) Ax2e* d) Axe-x…

A: Question 1 is soly.It is against the policy of bartalby to solve more than 1 question. Here is…

Q: sechx+cshx b) prove that e2x cshx-sechx

A:

Q: The first derivative of the function y = 4*.32x is: %3D a) 4*.6* In 36 b) 4*.32x In 4 + 4*6* In 6 c)…

A: given y=4x.32x

Q: d6 1 2-₁ {-101 = ds6(s-7)2-64, 13. If L-1 6₁)} = atbect senh(8t), the value of (a.c) is:

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Q: R4-R R² +R+1 VI zª + iz z²+z+1 R² + R (R-1)² " VZEC |Z| =R>1

A: Answer given below.

Q: how that: (f)=X*(-f) x(t) is even, then b₁=0, an= To

A:

Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: Which quantification proves a nonnegative number minus a negative number is positive? A Vxay(x 0) ^…

A: A ) ∀ x ∃ y(x&lt;y)

Q: (9) Ur = = UF'(A)) and that f Prove that f-1 (μη) = - U ΜΑ»). ΑΕΛ

A:

Q: show the function is continous dis continou or 2=(2x+3 3メ→1」Xハz F(x)ニ

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A:

Q: 3) If X ~ N(5,2). Calculate P(200<Eº,x;<300) = ?. Draw a figure. '

A: Given : X~Nμ=5,σ2=2 Let, if X~N(μ,σ2), then ∑i=1nXi~N(nμ,nσ2) For n = 50…

Q: -3 < x To nenen Is fox is odd ? even or

A: Use definition of odd and even .

Q: The statement [p^ (r→q)] → [(r v q) ^ (p→q)] is a contradiction. A a. True b. False

A: Solution :-