Consider the problem min 12 s. t. 1+ r2| <1, IEX R.

Q: الموضوع : Ex: 4.3. Show That the sets Z\Y and Y/x disjoint, and 7\x=67 U Tet x ≤ y ≤ 7 be three sets…

A:

Q: ( 11 ) Σ n=1 (2n+3)!'

A: The given series is

Q: We ThiFrSal Memo No Date 9. 3x-7=2 9x+5y: 32 2/12x-7y=18 J4x+24=0

A:

Q: a) How many arrangements of "MATHEMATICS" are possible when 'H' immediately follows one of the 'T's,…

A: a)  Given : Total number of words =11 A repeated 2 times M repeated 2 times  T repeated 2 times…

Q: P is of degree 2; P(0)=4; zeros -1, 4?

A: Write the standard form of polynomial with the help of zeros.

Q: 4. The two triangles in figure (b) above overlap where R1 and R2 denotes the region occupied by the…

A:

Q: Show that S1 = S2 if and only if Si U S2 = S1 N S2.

A:

Q: Find a. S2, du. 2+u A. In (2+u)+C 1, B. -Inu +C 2 C. 2 In u +C D. In(2+u)+C

A: To find : ∫12+u du

Q: Name the preimage of R'. T' T V' R' R Your answer: O T O V O R

A:

Q: hat is the answer to this?

A: we have to write linear equation that gives the rule for the table  x f(x) 5 12 6 13 7 14…

Q: Indicate whether the two sets are equal. D = {x: x is a natural number less than 3}, E = {1, 2, 3}

A:

Q: Question 2 Negate the following statement Vz ay [(P(x) < QU) A (Q(x) < P(y))] - (P(2) = 00)

A: This santence cab be written as

Q: If m&lt;DAX = 70. find the measure of &lt;XAB.

A: The given figure is as shown below : We can see, m∠DAB=90°

Q: Consider the problem min a2 – (21 – 2)³ + 3 subject to a2 >1 Which is the value of u*?

A:

Q: The solution set for X satisfying both |x – 1| 1 is O a) None of these O b) (-o, 3] O c) (1, 3] O…

A: Given: x-1≤2 &amp; x&gt;1 We know that; if x≤a , a&gt;0 then -a≤x≤a And If x&gt;a , a&gt;0 then…

Q: D. Finc the sum to infinity of the geometric sequ ence, 1. E4, 16, 4, 1, ...

A:

Q: Supply reasons for each of the first three steps given below. = 450 + (32+50) = 450+ (50 + 32) =…

A: Here, to give the reasons to for each of the given steps.

Q: 6. Consider the diagram below. ot 62° Solve for x. Enter your next step here

A: Here we find the value of angle x in degree.

Q: If X represents a geometric variable with p = 0.7 then Pr(X>250) is equal to Select one: O (0.7)250…

A: Obtain the probability that P(X&gt;250)   The probability that P(X&gt;250) is obtained below as…

Q: -10 If AXT = B, then X= Let A = %3D 0 2

A:

Q: 38) - con A) 0 sec B) 5π T, 13л 5т D) 0 3 12 12

A: Find the value of x which satisfy sec(x/2)=cos(x/2)

Q: Solve dudt+ut−1=5t+3 subject to u(−2)=−1

A:

Q: Solve each of the DE's + 4)y= 4cos

A: The solution for the above question is as shown below.

Q: Given: &lt;1 = &lt;2;&lt;4=&lt;5 What can you prove about PQ and RSI Be prepared to give your…

A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

Q: 2. Suppose A and B are independent. If Pr[AU B] = .6 and Pr[A] = .4, find Pr[AN B']. %3D

A: We have to find Pr(AnB') :

Q: Algebraically Show the given equation 2-In(3) + +In(16) 36

A: Here ln is the natural log whose base is e ln(a)=loge(a)…

Q: 3. nn'+n+lo nニ

A: We have to find if the given series is convergent or divergent.

Q: 1) Solve the O.DE. qiven below y'+ 3yt= tye"

A:

Q: ,show that r → s can be derived from the following premises: p → (q → s),¬r V p, q

A:

Q: Which of the following is nota possible rvalue? A. 1.6 О В. -0.6 С. 0.3 ) D. -0.3

A: In this case, we need to identify the correct option.

Q: In AHIJ, HJ is extended through point J to point K, mZJHI = (x+ 12)°, (x- 3)°, and m/IJK = (5x –…

A:

Q: If s=5√t+4, then ds/dt =

A: Given s=5t+4

Q: The solution set for x satisfying both 1| 1 - is O a) None of these b) (-∞, – 1) U (1, 3] ОФ (1, 3]…

A:

Q: 5. Use the in verse motrices to find CAB) (AD ond (2A 22 ー1 4 /- 3. B. 11 2. 3. 3. 2. 2- 2. N/-

A: Given The given inverse matrices are A-1=12114-121123432-2,…

Q: If x~G(2,3), then 2X Y ..... .... ... 3 1²(2) O 2 JuI x?(4) الخيار 1 x²(1)

A: Given that  X~G(2,3) Then (2/3)X~

Q: If we know P(X = i) = 2/3n2 , i = 1, 2, ..., 6 then E(X) would be?

A:

Q: QUESTION 54 YT TX If TV || XZ in AXYZ, then YV VZ V O True False QUESTION 55

A:

Q: make v the subject 1/f=1/u+1/v

A:

Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

A:

Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: generally true? Prove / disprove this.

A: P(x+y|x)=probability of (x+y) given x. P(y|x)=probability of y given x.

Q: Question 33 Suppose p is true, q is true, r is false, s is false. Then (svp)A(-rv-s) is T/F? . A)…

A: Here : ∧ : AND operation ∨ : OR operation ~ : Negation operator The truth table for AND , OR :…

Q: Suppose we want to prove the statement Vx E N, P(x) → Q(x + 1). Select the assumption we should make…

A: Assume that P(x) is true.

Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

Q: Derive its dual problem parumeter min E Ix;IP st. ehere x= (XいP ER ,A ERMP, AERY be

A:

Q: If is a non-negative measüráble functic sa real number then Sa fx)dx = 1 Sf(x)dx E %3D

A: