Show that п ()- = 1- 1 and п,

Q: Prove that neQ

A: Given ddxxn=nxn-1

Q: 11 Prove that

A: Laplace Transformation: Given a function Ft defined for all real t≥0, the Laplace transform of Ft is…

Q: (Rって。) disconn. Conn. or

A:

Q: prov

A: we have to prove ,  (xx)x=x(xx)

Q: Is this true or false?

A: We want to check the following statement is true or false. If the P(A) =0.3 then P(Ac ) = 0.4

Q: In 9 - x= 16, how would you come to a conclusion if x can't be considered negative?

A: Consider the given equation

Q: When you round 32445.34 to 2 significantdigits, your response would be

A: Rounding to significant figures means rounding a number to nearest tens, hundreds,  thousands etc.…

Q: If (0,1) ~ (-1,1) and (-1,1) ~ R. Deduce that (0,1) ~R

A:

Q: 3. Use the Racetrack Principle to show that: In x 1

A: The Racetrack Principle :-

Q: 2. prove that

A: I solved through matrix form.

Q: 3Prive that tan'u. _ du 144?

A: We will differentiate the problem with respect to X. We will use China Rule formula to solve the…

Q: Let S be the s

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Q: 2. Show that In (- - ) = ( + 2nn)i where n = | .... .... ..

A: Consider the following expression: x=ln-12-32iex=-12-32icosx+isinx=-12-32i

Q: -, first prove that )" 6.

A:

Q: )Is 6 consistent for 0?

A: part D) Condition for consistency: Pθ^-θ≤∈→1 as n→∞. From the given information, H=αβ Therefore,…

Q: 2. Prove that L(cashkt)= ki 52-K2

A: To prove that  L(cosh(kt))=ss2-k2

Q: ди(х,у) а) ди(х,у) = 0 ду ди(х,у) ди(х,у) b) ax - и (х, у) ду

A: (a) We have given a partial differential equation ,  ∂u(x,y)∂x - ∂u(x,y)∂y = 0 We will use…

Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: How many counterexamples are needed to prove that a statement is false?

A: Suppose P(x) be the statement.

Q: How would ugraph fx):()'?

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Q: 81/ show that *if ve(Xジーズ) oif v=(

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Q: ist of at least one woman is

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Q: Which condition would prove AJKL ~ AXYZ?

A: Here we have to find the ratio between two sides such that the given 2 triangles will become…

Q: that prove

A: Given, D⊂R2 be a disk containing the origin and g:D→R is a  function given by…

Q: Is there any theorem about ∞ + 0 = ∞?

A: No, there is no such theorem for this.

Q: 2. Show that 1 2 = (1 - )( - )(? y)

A:

Q: Which of these will prove the 10th step and the reason ?

A: Given : To find : The statement 3 and give the reason.

Q: Determine the p.f. of the number of heads that will be obtained

A: a fair coin is tossed 10 times independently. Each trial is independent Finite number of trial…

Q: 2 Prove Ccos(n (ulx)] duc)

A:

Q: 4. Demonstrate that Re(iz) = -Im(z);

A:

Q: iiion 125 correct to three

A: To find the approximation of (25)^1/3

Q: in the interva

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Q: 2. Show that (i) tan 48° tan 23° tan 42° tan67° =1

A:

Q: Obtain the DE of the family of lines passing through (3, –4).

A:

Q: 1- 9/if it of Prove that yś(-)- TT

A: In the question it is asked to prove y'(0)=π for the given function y=2xcos-1(2x)-1-4x2.

Q: Prove: ДАВС — ДCDA %23

A:

Q: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Q: 5. Demonstrate that Im(iz) = Re(z).

A: It is required to demonstrate the problem 5. Problem 5 is solved below in detail.

Q: Find the number of arrangements of the digits {0,1,2,3,4,5,6,7,8,9} such that the first digit is…

A: We need to find the total number of arrangements of digits 0,1,2,3,4,5,6,7,8,9 such that the first…

Q: Prove: 4 x,,x2x, ER, then |x, +x, +.. + x,| s |x,|+|x,|+... + |x,|

A:

Q: and y If a = -, then æ =

A: The value of angle is  α =-π3 To evaluate : the terminal point Px,y on unit circle.

Q: what is the value of in 1

A:

Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: Show to put nowi

A: The sample mean from a group of observations is an estimate of the population mean.

Q: 6. Show that Autoq(Q[3], 5]) is finite.

A: To show: Autℚℚ35,53 is finite.

Q: Prove that tim 51

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let flr) - ea Than S() -

A: Given: f(x)=1x2+18. So,         f'(x)=1x2+18'        =-8x2+19x2+1'        =-8x2+19· 2x…

Q: new employees, two of = that are lined up in a row.- -obability that the married

A: To find:  a. The probability that the married couple will have adjacent desks. b. The probability…