Suppose P(Xi=1)=pi=1-P(Xi=0),  i=1,2 if p1> p2 show that X1>( greater than equal to (st)) X2

Q: Find a point c satisfying the conclusion of the MVT for the func y(x) = 2e* on the interval [0, 5].…

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Q: 5. Find the on the interval [0, 4]

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Q: of 14 that Suppose newly-baked cupcakes are taken out of the oven which is set at 100 degrees. Room…

A: We will use Newton's law of cooling to solve this question.

Q: 5. For k(x) = 3 × - 6, determine kª(8) -

A: To find the required value we need to find the value of x for which k(x)= 8. 4x/5 -6 = 8 4x= 70…

Q: The t-table has entries for areas of 0.10, 0.05, 0.025, 0.01, and 0.005. In contrast, the χ2-table…

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Q: Section II Assume that 90% of all light bulbs of a certain brand last longer than 750 hours. Suppose…

A: Here we have to find the probability for geometric distribution.

Q: 2. Assume that x > -1. Prove that (1+ x)" >1+ nx for n = 0, 1, 2, ....

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Q: Find the product and addition of the approximate numbers x, = 32.452 and x, = 24.3595 all of whose…

A: x1=32.452 and x2=24.3595 To Find: a) Product and addition of the approximate numbers. b) Relative…

Q: 9. For |x|<1, prove that 8x 16x 24x 1-x1+x 1-x 2 8x 8x = 1+ (1 – x)? (1+x2 (1-x)? ...

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Q: of x so that the greatest possible amount of light is admitted.

A: Given, A Norman window shape of rectangle surmounted by a semicircle. Perimeter of the window is…

Q: The American Court Reporter Institute finds that the average student taking Elementary Machine…

A: Given : the average student taking elementary Machine shorthand will progress at the rate given…

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: 29. For |x|<1, prove that 24x 1-x 16x 8x 1 + 1-x1+x ....... 8x &r = 1+ (1- x) (1 +x)2 ' (1-x)2 ...

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Q: Q\ Determine a condition on |x - 1| that will assure that * 1 |x² – 1| <

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Q: 7. The equation x² + ax + b = 0, has two real roots a and B. Show that the iteration method (i) Xk-1…

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Q: 9. If f(x) # 0f and f(x) is relatively prime to Or, what can be said about f(x)?

A: Relatively prime elements: Two elements f(x), g(x) ∈ F[x] are said to be relatively prime if…

Q: 1. Find homogenous solution of the following rule. 2. Find complementary solution of x (Xp) using I

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

Q: For males (that is, Gender=1), as weight increases one unit, the predicted/estimated average resting…

A: Given, The given output shows that resting heart rate is an dependent variable and weight and gender…

Q: If f(x) has odd degree and negative leading coefficient, as x goes to -∞, then f(x) would go to

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Q: Suppose that a certain country conducted tests of a certain type of bomb in 2009 and 2013, and…

A: Define X1: random variable for the power of the explosive in the year 2009 X2: random variable for…

Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: 6. Find f'(1) if Ax) = nx

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Q: Show that 100 1 arctan(100) – arctan(2) + 1 1 < arctan(100) – arctan(2) + 1+ 1002 1+ k2 k=2 1+ 22

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Q: An arbitrary point x of 0.1 is chosen. Since it is known that x> = 5, what is the existence of x> =…

A: x is an arbitrary point of (0,1)  and x ≥0.5x≥78=0.8

Q: 4. Find all values of x satisfying In[(2x + 1)(x +2)] = 2 In(x+2). Verify the values of x you found…

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Q: Show that when x increases from 1 to 1.25 and when it increases from 2.75 to 3, the value k of grows…

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Q: We now need to attempt to find an exact value for n such that P(r ≥ 1) = 0.99. Clearly, if the…

A: We have to fill blank of P(r ≥ 1) = 1 − P ( ___ )

Q: 15 Using intermediate value theorem, the equation x² + = 4x has a solution over ]3,4[ 12,31 O 11,21…

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Q: 5. For z=x2siny show that 332 332 = дудхду дугдх

A: Topic = Derivative

Q: Given: 3(x + 2) = 15 Prove: x = 3

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Q: Q 4. (a). Show that limit *1, does not exist if (5-4x S(x)=. -)- {ax-2 for x <1] for xz1]

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: Since x^4+x-8 is a polynomial it is continuous.Answer: f(x)=x^4+x-8 is continuous on the closed…

Q: ν4-x (h) N(x)=; In|x|–1

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Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: Find a positive number x such that the sum of 9x and is as small as possible. x = Does this problem…

A: Let, the sum be denoted by f(x) So, f(x) = 9x + 1/x  So, f'(x) = 9 - 1/x² &amp;, f"(x) = 2/x³

Q: 6. Prove from first principles (with ac- 6 argument ) that लेग ½ lim 7--1

A: 1x2+1-12=2-x2+12x2+1                               =2-x2+12x2+12+x2+1…

Q: (7- 2n)(n+ 3) 1- 2n 3n* – 11n +9 V 9n + 4n + 1

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Q: If #1 = 5, ,x2 = 3, an = -4xn-1 + 5xn 2, Vn 2 3. Find the general tem an

A: Characteristic equation is: r2=-4r+5r2+4r-5=0r+5r-1=0r=1,-5

Q: 1. Find one real root of g (x) = In(x*) = 0.70 between 1 and 2. How many number of iterations were…

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Q: What are the value for sup e-* = е x>0 and inf e * - = XER

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Q: 1. Find one real root of h (x) = 3x² – 2x = 0.5 with an error less than 5% on the interval from -1.5…

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Q: 6. Given that -뿔 (금) (규 R(x) 4! 1+. for x E (-, 3), where & is between x and 0, find an upper bound…

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Q: Two real numbers X and Y are chosen at random in the interval (0, 1). Compute the probability that…

A: Selecting two points x and y from the interval (0,1) is identical to selecting a single point from…

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ with False position method. Use initial…

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Q: "8 does not divide x^2– 1 if x is even". prove it directly

A: We need to prove  8 does not divide x2 - 1 , if x is even. OR if x is even, the 8 does not divide x2…

Q: The Domain of f (z) is [3, 00) and range of f(z) is [2, 3], then Select one: O a. domain of f(x) is…

A: Suppose we have a function f(x) whose inverse is f-1(x). Then the domain of the inverse function…

Q: For the IVP y' = 999e-t-1000y with y(0) = 1 would Forward or Backward Euler be a better choice for…

A: We are given the following IVP y'=999e-t-1000y with y(0)=1. Now, we need to identify whether Forward…

Q: 16) * Find y' if y In (x2-8), when x 4

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