5.72. Evaluate the proposed proof of the following result. Result If x is an irrational number and y is a rational number, then z = x – y is irrational.

Q: 7. Apply Lagrange interpolation formula to find k, given that P2(3) = 35 2 5 f (x) 2 k 275

A:

Q: 3/4 Given: 4 2x+ 35 Prove: x= 4

A: Given: 42x+34=35

Q: (mp+nq)−(mq+np).

A: Given,  m-np-q=m·p+n·q-m·q+n·p It is to be proved.

Q: Did I prove p is not equal to 0 correctly? p is not equal to 0 by what?

A: You have proved correctly .   This can also be seen as If p= 0  Then 1/x = 0  and x= infinite or…

Q: - - 9. - [1.0001 x* H. Verify Let A 6 = the error %3D 1.0001 formula |r* – ô|| ||r|| < K(A)-

A: Let A=2112, b=33, x^=1.00011.0001, x*=11. Verify the error formula x*-x^x*≤KArb.

Q: Q5: Define nilpotent element. Are 1 and 3 nilpotent elements of Z9?

A:

Q: 7. If [G: H] = 2, prove that gH = Hg (18 from 6.5)

A:

Q: If n^2+6n+11 = x^2+y^2 for positive integer n, x and y prove [xy/2] is composite. Note: [t]…

A: Given :              n2+6n+11 = x2+y2              t ≤ t

Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: Arg (zz) = 0, whenever :+ 0

A:

Q: 1. • If r + 1| < o, prove that |r³ + 1| < 0.331.

A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .

Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: + 2?R eraluate l F x di Where is me cuwe pron G0,0) ho Q,2,)

A:

Q: MOse the intermediate value Fun ction to Show that ex=3X Somewhere between X=0 and X=1.

A:

Q: 4. What is the value of k ?( Let P(t) = 246.7 and P(0)= 226.5 at t =10) А. 0.00243 В. 0.000854 С.…

A: As bartleby expert we are required to solve only one question.  Answer : k= 0.00854 Hence option C…

Q: Prove that P(X = n) = 1. 00 %3D

A: Given that  We have to proof that  ∑nP(X=n) =1

Q: 4. Find all values of x satisfying In[(2x + 1)(x +2)] = 2 In(x+2). Verify the values of x you found…

A:

Q: For what value(s) of tt does the equality ⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩ hold…

A:

Q: Prove that re" = 3 – x² for some negative value of x. [Hint: Use the IVT]

A: According to the given information it is required to prove that: xex=3−x2 for some negative value of…

Q: Prove L{a coskt}= -at S+a

A:

Q: VI. Write the following in the Roster Method. 1. E><s} 2. {x\x is an odd integer between 0 and 10}…

A: According to our policy at Bartleby, I can solve only one question. We need to write the given set…

Q: For positive integers n and k (k sn+ 1), the kth term of (a + b)n is given by

A: The binomial expansion of (a+b)^n is

Q: Following is a Discrete structure questions

A:

Q: Need help proving this     −z = (−1)z.

A: Same basic concept of Mathematics  Like  (-) *(-) = + (-) *(+) = -

Q: Here defined the hyberbolie functim diretly in telm of The enponential furictim ;). simh(x) This is…

A: Since you have asked a question with multiple subparts, we will help you with the first three…

Q: Need a detailed proof

A: Given:A rational t &lt; 2.To show: t = rs for some rational r and s with r2 &lt; 2 and s2 &lt; 2.

Q: Which of the following is the smallest, positive value of n for which -i" is equal to -i? (1) n=1…

A:

Q: 6. so be it r = 3xi + yi – 2zk and f (r) : -- where |r| = r find all of grad(f) and div (-)

A:

Q: Then k is equal to

A: We know that integration of density function over whole range of x, is always 1. We will use this…

Q: (11) If f(x) is a p.d.-fand fla)=√ at ² 04x61 Ind the value of a ae 12x ≤2 O elsewhere

A:

Q: For 1. find the value of so that by'=3 at y=1- y O 12 O 3 to this aacu A Moving to the next o ntr

A:

Q: - is a real num 1S y+z= 6, 4x +

A:

Q: Q: Prove that : sin' ne -de = na for all n e N. sin' e

A: solution is given below

Q: What is UF, where F = 0? Prove the correctness of your 5. answer / computation. 6. Use notation by…

A:

Q: For #9 & 10 solve for all x in the interval [0,2x). Round to 3 decimal places only where necessary.…

A:

Q: For what value (3) of k must A= / 3 4 3 k 6 have an invers determine A for k=1 2 3D

A:

Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour…

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: O None of these Oe equal to the above Vdows O is equal to the above O is equal to the above 434

A:

Q: 5. For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,1=n(""C,). r-1

A: Given n and r non negative integers with  1≤ r≤ n. We need to prove (n-r+1)nCr-1=n(n-1Cr-1)

Q: 482Sim? - созж 2 eqon by roing ē? f(²)= find root of above co newston phasor

A: Newton Raphson method :   Steps : Step-1: Find points a and b such that a&lt;b and…

Q: Find integers s and t so that s· 201 + t · 302 = 1 . S %3D

A:

Q: The current i (in uA) in a DVD player circuit is given by i = 2.0-0.50t, where t is the time (in us)…

A:

Q: 10.) For n>Liestablish that the in teger nc an't 5) is of the form ok. or n21, establish the in nz1…

A: To establish given relation we will use first principle of mathematical induction. For this we will…

Q: 4.By applying the Convolution Theorem to calculate L-1 is obtained: Determine the value of (a+b): a…

A: We have to find the solution.

Q: uming that there are 80 insects at t = 0. ve your answer as a whole or exact number.)

A: y' = 250 + 6t + 0.3t2 y = 250t + 3t2 + 0.1t3 + C

Q: Which value for z is a counterexample to the following statement? For all positive values of x, x >…

A: counter example = an example that opposes or contradicts an idea or theory.

Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.