1. (True, False) Given two mutually exclusive events (A,B), the joint probability of A and B is P(AB) = P(A) x P(B) .

Q: If the seeedof an dbjectis given by ve) what is its eoríthen x al a to dime + = 2 it the object was…

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Q: +... If 2 = e1#1+a202+..tan#n, where a + a + .. + a, = 4. Find 42 22

A: Let us consider a function z=f(x1,x2,x3,⋯⋯⋯⋯,xn) then the partial derivatives is given as  ∂z∂x1,…

Q: the relationship between income and consumption, where x is income and y is consumption; Y=4+0.5*X.…

A: According to the provided information, the relationship between income and consumption, Y = 4+0.5*X…

Q: Let X be a r.v. with p.d. f. ,x = 1,2,3, ... f(x): e.w. The value of a is: N I3

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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: Which of the following is false? A. Ine =1 В. еxp (0) — 1 C. In1=0 D. exp(In0)=0

A: Use the basic property of number.

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

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Q: 14 18 27 A) 21 С) 14 B) 28 D) 20

A: Solve for x

Q: 4. [7.4 & 7.5] If... a = i +3j - 2k, and b=i-3j-k, and c=2i+j-k, then... a) Determine (ā- 2b) b)…

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Q: e. 3(v+ w)

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Q: EX: EXPress i w X.+24+2 where. w and. w in termsfu.amal.V. Z24. o..... ...

A: Chain rule: If w is differentiable function of x, y, z and x, y, z are differentiable functions of…

Q: which of the following is not a property of r? 1) r does not depend on the units of y or x. 2) r…

A: Correlation between two variables measure the strength and direction between two variables. It…

Q: Use the following information about Wal-Mart stock. 52 weeks VOL NET HI 52.05 LO STOCK 41.69 WMT DIV…

A: First, we need to calculate the cost of the shares without the broker's commission. This can be done…

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and…

A: given population mean=40000 population sd =5000  probability that a randomly selected tire will have…

Q: Given that v = and w =. Find

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Q: In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The…

A: Given information: The table is given below,   Goalkeeper Jump       Left Center Right Kick…

Q: Could I have this handwritten I cant tell what the work means

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Q: - the relationship between income and consumption, where x is income and y is consumption;…

A: Givenx is incomey is consumptiongiven equation is y=4+0.5*x

Q: Construct RM so that it bisects &RAT Construct HG || EF.

A: Given quation there are two subpart . so in first subpart ask that angle bisect here first i define…

Q: 769° 45° C. a) What is the measure of <ADB?

A: We can find the measure of angle ADB as below

Q: H.W 1.: Use Cayley-Hamilton to find 4 -1 A' and A Where A = [2 1 1 0 1 0 11 2 ]

A: Find characteristics polynomial and use caylay hamilton theorem

Q: sequence otherwire. show that the Se

A: I have given an answer in step 2.

Q: If z is a function of two independent variables x and y then the value of p is a) b) c) d)

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Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

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Q: 3. Prove the pythagorean Theorem

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Q: X X P(X=x) 0,10 0,20 0,30 0,40 2 3 4 5 P(2<X<4)=??? O A) 0,20 B) 0,10 C) 0,40 D) 0,50 O E) 0,30

A: Given observations

Q: Evaluate y ds, C: z = t, y = t, -1<t<7

A: Given  C; x=t2  , y=t        , -1 ≤t≤7

Q: What is the length of RS? W R x - 3 V x+5

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Q: The answer is not given or I am unable tp see it.

A: Given data  Normal distribution μ = 71 σ = 7 N = 550 empirical rule : approximately  68 -95- 99.7 %…

Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: 4. 13. Vydy 14. x/3 dr 15. t1/4 dt 1/16 16. t5/2 dt dt 17.

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Q: 6. Write.a.Ct).in. the farm..aaT.T+ a. N. a..r(t).=(tcost). .+ (tsint.) j.+t ..to.

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Q: 2. Let T=

A: Given that, T=22-1-163201 We have to find adjoint T.

Q: 7. Р(6, 4)/4! ANSWER ! 15

A: We have to find given formula.

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.