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Q: If ADEF ARST, then we can conclude that ZS

A: Given, Triangle DEF is congurent to Triangle RST

Q: Prove that neQ

A: Given ddxxn=nxn-1

Q: Show that [x, p;] = iħ.

A: note :  As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: 1) Evaluate whether y, and y, are uncorrelated 2) Evaluate whether y, and y, are independent

A: Given, y1y2 = 111-1x1x2 So,  y1 = x1+x2y2 = x1-x2 And, Mean is 0 and Variance is 1 So, E(xi) =0…

Q: prove th na

A: The equation given is ,  ∇×F¯θ=1rsinθ∂Fr∂ϕ-1r∂r·Fϕ∂r. The curl of the function is given as, curl…

Q: prove that 2. catX+c

A: We use that- sin2x + cos2x =1  so that 1-cos2x= sin2x

Q: ! the value on AD tame

A: Given that, AB¯ and AD¯are tangents to the given circle. AB¯=5x2+9AD¯=19 We have to find the value…

Q: Prove that no (nº.2)

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Q: (a,b) is measurable.

A: (a,b) is an open interval.  Open intervals are measurable.

Q: Let S be the s

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Q: 2. Show that cÃ=cA.

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Q: Given and prove

A: Given,

Q: Find the bonded be aren

A: In this question, the concept of the definite integral is applied. Definite Integral A definite…

Q: Prove that MSE(Ô) :

A: Consider, MSEθ^=Eθ^-θ2 Here, θ is parameter and θ^ is an estimator              =Eθ^-Eθ^+Eθ^-θ2 add…

Q: Suppose csc(4) =2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: Let а в %3D Compute e. To be clear, a, B are constants.

A: Given, A=αβ-βα Determine the value of eA.

Q: Notice that h is definec this.)

A:

Q: that prove

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

Q: Show that [my] is o(ny)

A: In the question, it has to be xy instead of xy. So, we are solving the question by taking xy. To…

Q: Use the given information to prove that ADEF ADGF.

A: We need to find out the reason and complete the proof .

Q: Determine unher the or cliverges.

A: Here we have to determine the given sequence is divergence or convergence.  We have,

Q: Show that di = s> 0.

A: Laplace transform

Q: Prove than any pair of elements in H can be mapped to the positive y-axis by an element of SL(2, R).

A: According to the given information, it is required to prove that any pair of elements in H can be…

Q: limf, is measurable 00 ylan ihi

A: GIVEN a statement

Q: (a, b) is measurable.

A: The answer is given as follows :

Q: If ADEF ARST, then we can conclude that ZR

A: Explanation of the solution is given below...

Q: If ACX,find A' for(X.I)

A:

Q: Verify S Tokes' Theorem To 2.

A: Introduction: We know that stoke's theorem is given by the formula, ∮CF.dr=∬s2∇×F·n.dσ

Q: F(p), then prove that

A: simple use of integral transformation

Q: Express the given terminating decimal as

A: Given, the terminating decimal                 0.46

Q: Consider the following theorem.

A: Given, Where, And We have evaluate the integral,

Q: Use the definition to prove that {(-

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Q: of the give ess your ans

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Q: Use Lemma 5.4.3 to find RT if RS 6 and VR = 4.

A:

Q: (a, 0) is not measurable.

A: In this question, we check the given set is measurable or not. here we use the condition of Lebesgue…

Q: (a) Prove the following property: (:) - (.".)

A: Hey, since there are more than two questions posted, we will answer the first question. If you want…

Q: SHOW THAT 30 to Xン0

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Q: Let T, >0 be given. S

A: Given,                      Tt=KTxx, 0<x<L, t>0,                   ...(1)        T(0, t)=0,…

Q: let pcoc) =e" Since). oc G C-},3)

A: The given function is Fx=exsinx, where x∈-π2,π2.  If f'(x)>0 at each point in an interval I, then…

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: ve that the are lengh - loj secx from

A: Introduction: The formula for the arc length for the curve y=f(x) from a to b is given by,…

Q: Let X1,..., Xn be Show that Y = min(X1,. %3D Show that

A: From the given information, X1, X2,.....,Xn are independent, Xi~expλi The density function for Xi…

Q: Show that if ƒ′′> 0 throughout an interval [a, b], then ƒ′ has at most one zero in [a, b] . What…

A: Given:

Q: as, consider the different

A:

Q: Check Al That Apply nent an imege of exactly one element

A: This is a problem of function.

Q: observe that the

A: Given,      A=615-23-5-6-2-4202

Q: Suppose that fo sf,:X-gy and g,-3 YoZ Prove that (Hint : First use ce) to show that gfe g,, and then…

A:

Q: Construct AB congruent to XY

A: Given query is to construct congruent segments.