D) What is (goh) '(I)? E) Is h(R) countable?

Q: which of the folowiny -xト! is -3x 2 へ pove seies fore =e.e e E (-)"(-3x) n ハン 0 37 B. e (3x)" nこO *ス…

A:

Q: 3 2 If A = use the Cayley-Hamilton theorem to determine A?. 5 1

A: We can solve this by using given information

Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

A:

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

A:

Q: d) 85% of all students finish the activity in less than secon Submit Question

A: X~N( μ = 38.6 , ? = 6.3 ) μ = 38.6 , ? = 6.3 Z-score =( x - μ )/?

Q: 11. What theorem is used to prove that BD 1 AC? C В. D A

A:

Q: Integrate  sinnuelog(cosu) . Where n=744

A:

Q: 2. Is * commutative? If it is commutative, show it. Otherwise, give a counterexample.

A: Given, * a b c d e a a b c d e b b c a e c c c a b b a d b e b e d e d b a d c

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

A:

Q: 4. Consider A={m,a,t,h}; C={x:x=3n,1šns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n 56,nEN} What is CUD? *

A: Here given that                         A={m, a, t, h}                         C={x:x=3n, 1≤n≤4,…

Q: 1S prove that (a + b) = a² + b².

A:

Q: O Determine rand s so that, 3.

A:

Q: 4. Prove that 3i² + i = n(n+ 1)?

A:

Q: Q.2) Evaluate cln 7 cln 2 cln 5 e(z+y+3) dzdydr In 6 In 4

A: Given triple integral is ∫ln6 ln7∫0ln2∫ln4ln5 ex+y+z dz dy dx   Note:- ex+y+z =ex ey ez

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

A: Suppose P(x) be the statement.

Q: Find the probablity that in one day, the student is studying a. less than I hour b. between 2 and 3…

A: The random variable X be the total number of hours spent by a student to study The probability…

Q: Arnold says that 25 = 3, and he uses the picture in Figure 3.30 to support his conclu- sion. What is…

A: Given that: According to Arnold reasoning:  223=45

Q: So 3 Vit7x dx U-substiutson.

A: Use u substitutions to integration

Q: Prae that x4 -5x +3 is ineducible ouer Q

A: Given polynomial is f(x)= x^4 -5x^3 +3

Q: Con sider Sam ple X,, X2,.., Xg from a NC8,4). Find the Coverage Probabilit a of interval [x-2, +2].

A:

Q: What is the dimension of P,?

A:

Q: What is the general rule to evaluate I N,where N is any positive

A:

Q: 3. Evaluate using convolution theorem: ਕਰ S(514)

A:

Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....

A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…

Q: resubmit

A: We know about 3 important coordinate System which are Cartesian Coordinate System represented as…

Q: 4 Show that DE B0) n s+ Ø

A: We will use basic knowledge of metric space (or general topology) to answer this question.…

Q: According to boolean algebra x.(1 + y) =?

A: We will use the following 3 rules : (i) Distributive law : a•(b+c) = a•b + a•c  (ii) Identity law :…

Q: 1. When is the object at rest? Your ansiôier

A:

Q: In ALMN, LN is extended through point N to point O, m/NLM = (x – 4)°, mZMNO = (4x – 17)°, and m/LMN…

A:

Q: in= aRo can direetly /KT. by gomma fometion, We write Jo a Kox2 &KT 2

A: If you have any doubts in the solution please ask me  in comments i will reply you as soon as…

Q: founth worlar is

A:

Q: 1 Compute the quantity, w, using w = W •W - 4 - 5 LO

A: The given vector is w=2-4-5. We know that if a=a1a2a3 and b=b1b2b3 are two vectors, then the dot…

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: Solve the BVP on interval Lo, nJ) 2 %3D 2.

A:

Q: show that yon=exp[-S pesde]Sesplspeade 7 grods 4c is the sotommian solurion to rhe D. E ý+PO)y sgoo…

A:

Q: 17) wheat is dhe ra dius of covegone corvegence 3"n! (x-4)" Given い= 5" (url)!

A:

Q: In yz can be written as : 1 In x - In y + In z a O 4 1. In x- In y- Inz b O 4

A: I have Provided this answer in step-2.

Q: Is it true or false A" |=| A|"?

A:

Q: What is KN + IK? GHI J KLM N -4 -3 -2 -1 0 1 2 3 4 KN + IK =

A: It is given that,     We have to find the value of KN+IK.

Q: B increases as µ approaches from µo, when Ho is false True or False

A: Given problem Given that   B ( β )  increases as μ approaches from μ0, when Ho is false . Ans)…

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

Q: In the diagram below, prove that AKLM = AKNM. K

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

Q: 9 show Itat Ihe maclayvin Sevies For Hense is メ+ メ t.. 4- X

A:

Q: (b) Using Venn Diagram to prove that (A U B)e = A° N B° ?

A: To prove the following using Venn diagram A∪Bc=Ac∩Bc First consider the left hand side  Set A

Q: D. Let Find 2,-

A: We will find out the required value.

Q: ) Evaluate, using Cauchy formula C:2- (a) zz-l dz dz (6) ( e

A:

Q: By 2 Cas X the Same. way prove that

A: Prove that J-12x=2πx cosx

Q: uppose that X~N(µ, o²) and that P(X 3.6) = 0.6554, what are the alues of u and o?

A:

Q: (35 Show that the following grephes are Hameltonian 8) e a) d c) a ol

A:

Q: How do I subsitute X= Ztan into Ha):" ) How do I simphtiy asuming Ok Be

A: Solution : We have given a function fx = x4 + x2   To find : Substitute x = 2 tanθ into the given…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.