An incomplete proof of the alternate interior angles theorem follows. Complete the proof by providing all missing statements and reasons. m n 3 F 1 2

Q: Determine the set ⋂ n=1 to ∞​ (−1−1/n,1+1/n) (intersection of open intervals)

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Q: Find P (-1.5 < or equal to Z < 0.2) where Z ~ N (0,1)

A: We will use Standard Normal table to find the required probability.

Q: 1. Complete the first sentence only of the proof by contradiction for the following statements: а)…

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Q: 97 Show thet the senas- + a+/ (uhese conveages if B>« and diverges if B0, B>0)

A: Find the convergence and divergence of the given series           1+α+1β+1+α+12α+1β+12β+1+....

Q: 5. Determine the largest interval that pλ can lie in to approximate p to at least two significant…

A: To determine: The largest interval that pλ can lie in to approximate p to at least two significant…

Q: If S:= { / N - ¼/m : N,MEN, find wfs and sup 5

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Q: Give the condition which ensure that Je-| < 1 where z E C.

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Q: 2. Statement such as a < a is an example of: Function Equation Expression O Inequality

A: Inequality: An inequality is a relation which makes a non-equal comparison between two numbers or…

Q: Suppose Z∼N(0,1). Then P(2 ≤ Z ≤ 3) is the same as

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Q: Let X1, X2, be a nequence of ... independent and identically distubuted rvs, each having frñite mean…

A: The Chebyshev's Inequality:                    Let X be a random variable. If X has finite mean μ,…

Q: 5.-find the exponential Ronction fa)= ab? tha satisfies the condition f(0) = -4 and f(-3) = - 500

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Q: Let n 22. Prove that the equation y" = 2r" has no solution in positive integers.

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Q: Use Simpsons 1/3 rule to evaluate of e-x2 over the interval 0.2 to 1.5 using 6 segments ?

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Q: Evaluate the bound of the error if the Trapezoidal rule applied to S (x)dx . Given that 5 k is…

A: Apply formula of trapezoidal error

Q: -Prove that 2x² - 8x = 22 has at least one soution on the interval IVT. [5,10] by using

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Q: 2.59 Find || f |sup if a) f(x) = x on (-1, ). So if x E Q, b) f(x) = – x² .2 if x ¢ Q. -

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Q: 62. Let D be the domain bounded by y = x2 +1 and y = 2. Prove the incquality 4 20 (x² dA 3

A: The domain is y=x2+1 and y=2. Sketch the domain D as shown below.

Q: 19) fiud eq uilibrium Point for the demond arol Supplie fumetion of Dq = - 1.259+ 475 and S) =…

A: Given D(q) = -1. 25q + 475 S(q) = -1. 125q + 266 For Equilibrium, D(q) = S(q)  0.125q = 209 q = 1672

Q: Find ||f||sup if - f(x) = x on (-1,1). -. f(x) = 0 {²-2² if x EQ, -x² if x #Q, for all x ER.

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Q: Suppose that Z~N(0,1). Then find Pr(2.78 < Z < 2.84)

A: Given data, Z~N(0,1) That is Mean=0 Standard deviation=1 P(2.78 &lt; Z &lt; 2.84)=?

Q: Find Pr (|w| < 0.2)  where W ~ N (-1,4)

A: From the given information, W follows normal distribution with mean µ=-1 and variance σ2=4.

Q: 4. For each positive integer i, let A, = {x € R| -<x < } = (-;;4) a. Find U-, A;. i=1 b. Find N 4:-…

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Q: 2. K42

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

Q: 6.

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Q: 2- Find the set of lower bounds and the set of upper bounds of the following sets in Q, if it…

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

Q: 2. Rewrite each of the implications below using all 4 forms: (1) only if, (2) is sufficient, (3) is…

A: (a) If a function f is differentiable, then f is continuous.Only if: Only if f is continuous, is f…

Q: 225g If p = f(q) = then what is the marginal revenue for q = 31? q+4

A: The marginal revenue can be calculated by the derivative of the total revenue with respect to…

Q: 2) Let a,bE Q such that a<6. Prove that ax <bx.

A: The statements can be proved by analyzing the results from the given statements. The other methods…

Q: 9:Find the absolute exlemum Verlues of flx) x²-4x+24 over the interNal Cl,41

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Q: 15 Let (x+1) {x-2}" 20 g"k) = concave upX-) on what interval(s IS (NOte: Crinen gil but aske about…

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Q: Which formulas are tautologies? Select all that apply. (p-q)-(p¬q) O-(-piq) pvp O-(-p^ (pv q)) → q

A: The given formulas are p→q↔¬p∧¬q, ¬¬p∧q, p∨q and ¬¬p∧p∨q→q. To determine which formulas are…

Q: 5) Given f(x) = V1 -x² , the range is: a) O (-∞; -1] b) O [-1, 1] c) O All real numbers d) O [[0,…

A: The graph is shown below:

Q: 5.) For nzIiecove that teger 1prove 'Dirision Algarithme ncntl) (2ntl16 is an in integer Use the

A: To prove that, for n≥1, nn+1(2n+1)6 is an integer

Q: Let Xipnnig Xu~N(Po²). Find Consistent estimator of M using a chebychev's inequality.

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Q: II. Let U = R I= {x €R|x - 14x + 45x = 0 J= {x €R|x s6} S = {x €R| |2x| > 2}. } Find the following.…

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Q: given diffperential alility veufy that the indicaled function Ia Solution Eqrua ti'on In Somd cases…

A: According to the given information it is required to prove that y’+2xy=1; wherey=e−x2∫0xet2dt+C1e−x2

Q: Consider the following statements: P : x is odd, Q:x is positive, R:-4< x < 3, S : |x| < 2. Find all…

A: See the detailed solution below.

Q: Consider the following statements: P:x is odd, Q: x is positive, R: -4 <x < 3, S: æ| < 2. Find all…

A: The given statement is a logical if-then statement. So this statement becomes false only when S is…

Q: 4) Fund the interval of x-value on which the Carve is Con Cave up and Con Cave dawn 3 fex) = +x-3X

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Q: SatisBieg let furiy,t| =*+}, show that $ Sutis Bieg the Mean vulu Theonem ou and a=l11,b=l3131,then…

A: As per the guideline, I am only solving the first question. Kindly repost the other question…