1.lomple te He proof of the property below by suppling the justification for cach step. Let ond let c be Proof bea vector spore, let v be on elenent of V scolor. Then ca = -V. (-DVtv = (く+Iv (-1) V tv = (-1)V (-1)v tv = O(v) (-1) V+v=0 %3D ((-1)Vtv) + -V= (-vtv)t-V (E)v+(Vt-v)= vt (ut -V) (-1)Vt0 =-r to (-1) U= -V

Q: Question 5: If a = ~q and KB = (p (q v r) ^~p, prove using the analysis method (proof based on…

A: We know

Q: Solve the fallowbag inequality with patrametesm' ual + 20 2/1-m tm 2. 20

A: We are given an inequality: x-mx2+x≥21-mx+m Where m a real parameter We need to solve the  given…

Q: 5) Proof that: var (3₂)ARI when p= 0 = ß₂ Exy Σ.χ2

A: To prove thatwhen (i.e., when the autocorrelation coefficient is zero), let's consider the…

Q: X+Y 4- If X ~Exp(Ø) , Y ~Exp(Ø) then g = О a) Еxp (20) O b) U(0,1) c) Chi-square with 2 degrees O d)…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: Vld = Valid It is possible to solve this problem using truth table. This is a discrete math…

A:

Q: 5 -2 3 Which of the following could be a value for v? Suppose that - = -20 and that u = a) v = b) v…

A: Given that , u→.v→=-20 and u→=5-23, Now we have to find the value of v→.

Q: a+ib a) If x+ iy = prove that x? + y² = 1. a-ib

A:

Q: f+ h) – r (4) TC If f(x) = cot(x) ,then lim %3D h-0 A) 1 B) – 2 C) 0 D) 2 II

A: Option B  ie -2 is correct answer. Proceed as shown

Q: (d) Prove or disprove that, for any universal set U and predicate P VxU, P(x)][3x € U, P(x)]

A: We have to prove or disprove that, for any universal set and predicate  .

Q: Do bisection method for iv) only.

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: Hoist meihanism with a colera tion finu dis Plucement *こV1+o.256 ;PVニomis Sz3m for もこos and…

A:

Q: 18. Trangle 7(6,4, U(–4, 2, V2,-–3) is maped onto ATU'V'. a. Triangle TUV is mapped onto ATU'V…

A:

Q: 33) In quadrilateral RSTU, Es I ST and ŪT I diasgned If RS =6,ST = 8, and 12U = 15, find UT %3D

A: We can easily solve this problem by using Pythagoras Theorem in both the triangles (one by one).

Q: 0.5(マ+1) 221 if x(z) = x (2) す! (そ-1)(マ-0.6)

A:

Q: use Parsevol's theoverm to find u if fit)-Ae'

A:

Q: Question 2) Prove that the following expression whether tautology or not? Show all the steps of your…

A: Tautology: A tautology in is a compound statement (premise and conclusion) that always produces…

Q: (ove) V (IAS) (0~1) V (1~VO)~ (pv~e) ^ (~p^r) :. LAS

A:

Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: ut (X, Tof) be the cofinita to p. Jet A = {1,3]. etス=R B= Co1) %3D Fnd Ā ļ B.

A: Here given that X=R  Let A={1,3} and B=(0,1)

Q: wok ha) z!lx Determine tHe domain and Range of It

A:

Q: verify that wxy x/x + y) yze* + (1/xy) + If w = u+vr2 3uv23, find wur- If v = y In (x2 + z4), find v…

A: Note : There are multiple questions. Here is the solution of first question. Given function is :  w…

Q: the second image is not loading?

A: Here we will use the ratio test for convergence of series

Q: Pargilelogram ABCD With Al-4,-3) BL-1, 4),C(5,66), D(2,-1) transiafe according to the roe (xiy)->(x…

A:

Q: ) Let à = psin(4)u, + p² Ug %3D Evaluate $ Ã. dl given that L is the contour of the following…

A: Given, A→=ρsinϕup→+ρ2uϕ→ The given diagram can be drawn as,

Q: 6) Use Classteal Version step by step tnduding flue S finds of Eo Caiy, 2) thou the shetch of the…

A:

Q: 8f 6- A 4- 2. TE -8 -6. -4 -2 2. 6. 8 2- -4- F -6- -81 If point D is translated 6 units right and 4…

A: 6 units right implies change in x coordinate 4 units up implies change in y coordinate

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

A:

Q: Given: mlln, t rans v.k m23 = x²-3X mLb = (x+4)x-s) Find: X and mL4 H15 No hwe column format Yes,…

A: We have given two parallel lines and there is a transversal. We have to find the unknown angle

Q: Find L{t*e* } (s-3) 2 (s-3)2 1 (s-3)2 2 (s-3)3 2 (s-3)

A: We find Laplace transform of t2e3t

Q: X-Geometridp=2) Let a. P(X> 3) b. P(X>3|X ≤4)

A: GeometricWe have to find given the probability.

Q: se two-column proof and by proof by element arguments answer both numbers for upvote Statement…

A: The statements to be proved are as follows: 3. R∩S'=R'∪S' De Morgan's Law 4. M-K∪L-K=M∪L-K

Q: why when I use dot product my ans is just 98 deg but for cross product I have 81.97 deg too

A: Let's find angle by using cross product.

Q: True or fab if f(S)=f(E)

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.