tan 3x lim x→0 \ e2x – 1 3/2 O 1/2 O 2 O 2/3

Q: 以一 3-Va

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Q: Define 2 – t, 0 2 Use the Laplace transform to find the solution to the initial value problem: y"…

A: We have to solve given problem:

Q: 7) Prove that for every natural number n, the cartesian product of n copies of IN is countables

A: To prove that the cartesian product of n copies of the set of natural numbers, IN, is countable for…

Q: 5 x is: 1 -1 The general solution for x' = a) x(1)= q| +C2 b) x(e)-a,+e 1 -2t te -21 +C2 -2t 2t c)…

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Q: If P(X|Y)= P(r)=- then P(Xnr)is 4 12 (b) 12 (c) 12 (d) None

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: beazol Example 8. A bag contains 3 red, 6 white and 7 blue balls what is the probability that two…

A: Given,no.of red balls =3no.of white balls=6no.of blue balls=7Total no.of balls=16

Q: Plz help asap 5…

A: we can use the formula:where: CI = Confidence interval p̂ = Sample proportion Z = Z-score…

Q: Suppose X1,X2..X10 are independent N(H,02) random variables. Z1,Zg.Z5 are independent N(0,1) random…

A: It is given that X1,X2,X3,…,X10 are i.i.d random variables with N(µ,σ2) and Z1, Z2, Z3,…,Z5 are…

Q: A boiler has four identical relief valves. The probability that any particular valve will open on…

A: Given: P(Open)=0.92 The probability of closed is: P(close)=1-P(Open)=1-0.92=0.08 Number of trials…

Q: Consider the following matrix: 3 3 A = 5 4 0. 1 (a) Determine whether this matrix is diagonalizable…

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Q: d the probability that a score is from 185 to 210. d the probability that a score is from 160 to…

A: As per your request I have solve only (d) option Given Mean =201 Standard deviations=21

Q: Ex: We flip a coin 4 times. What is the probability we will have 2 Heads. Assume X is the binomial…

A: Given that  n = 4 , p = 0.75 , q = 1 - 0.75 = 0.25 X ~ Binomial (n = 4 , p = 0.75) X : Number of…

Q: Let p be the population proportion for the following condition. Find the point estimates for p and…

A: From the provided information,Sample size (n) = 834From which 105 plan to join the armed forces in…

Q: Verify Existence & Uniqueness for the differential equations below. (a) For which values of zg and…

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Q: Tes 4-) Calculate the of the function derivative y sin² ((512)-x) Sin (x+6)

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Q: 2) Use Lagrange multipliers to find all extreme values of f (x, y,z)= 2x+2y+z subject to x + y² +z²…

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Q: The equation for the regression line that predicts the probability of default in percent using FICO…

A: Solution: Let X be the FICO credit score and Y be the percent. From the given information, the…

Q: 1. ADEF is a right triangle. Find the measure of the missing parts of ADEF. Determine the six…

A: As per guidelines we have to solve one question

Q: 4. (i) Let G = Z24 Z30. How many Abelian groups are there which all have the same size as G, are all…

A: (1) It is given that  G = ℤ24⊕ℤ30. We have to find the number of Abelian groups which all have same…

Q: e* + 3x³ lim 4ex + 2x² 00 1/2 1/4

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Q: A psychologist specializing in marriage counseling claims that, among all married couples, the…

A: From the provided information, Population proportion (p) = 0.79 Sample size (n) = 220 out of which…

Q: Answer: 13 Look at the diagram on the right. 12 cm a. Determine the length of PQ. 6 cm Answer: 12 cm…

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Q: If P(X\r)=P()=; then P(Xnr)is 4 12 7. (b) 12 (c) 12 (d) None

A: The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates…

Q: Question 2 of 6 Let X and Y be random variables with E(Y) = 5, Var(Y) = 6, E(X) = 3, Var(X) = 4, and…

A: Let X and Y be random variables with E(Y) = 5, Var(Y) = 6, E(X) = 3, Var(X) = 4, and Cov(X, Y) = 0.…

Q: 10. Multiplication Rule for Counting A sales representative must visit four cities: Omaha, Dallas,…

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Q: 3. Find the inverse Laplace transform of the given functions. 1 a) F(s) = %3D s(s+1) S+6 b) F(s)= s?…

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Q: (2n)! Let a, = then n!n" 1 a) an | e 2 b) а, > e 4 c) an e d) a, > о

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Q: Consider a Poisson distribution with a mean of three occurrences per time period. (a) Write the…

A: Given: It is given that a Poisson distribution with mean of 3 occurrence per time period  It means,…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.