5.54. If the arithmetic mean of two unequal positive real number 'a' and 'b', (a > b), be nwice as great as their geometric mean, show that a : b = (2 + V3) : (2 – V3)

Q: 9 Find all the criticonl numbers of tthe function 3. メ2+メ

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Q: 4. [5] Please find in interval notation the values of x for which this expression is real. Show…

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Q: 8х + 7 State the domain of the function f(x) = in interval notation. 9х + 2

A: A detailed solution is given below

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Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

A: The solution is given below

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A: In this question, the concept of the finite differences method is applied. Finite Difference Method…

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A: Using simpson rule with n=4 .

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Q: 3.1.3 Compute the absolute errors for the above questions. Which of the two rules performed better?

A: 3.1.3. Hint: The formula to obtain the error is estimated value-actual valueactual value.

Q: 6. If ANML ~ASRL find the value of x. M. R 28 24 Зх - 1 x+7 S N Sign o

A: we have to find the value of x

Q: 405 10. A person rans the same race track for five consecutive days and is timed as-follows: Day(x)…

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Q: Suppose X=N(10, 1.924)Pr(X is greater than 7)

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Q: (a) Someone has claimed that since 14 is itself a multiple of 7, then there are more multiples of 7…

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Q: Suppose that the possible values of æ is the interval (-3, ). This means that: - x -3 -3 < x < 3

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Q: Given two nonnegative numbers a and b such that a + b = 4, what is the difference between the…

A: Given ,          a+b=4             b=4-aGiven expression=a2b288   fa=a24-a288…

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

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Q: Suppose that f(0)=−4 and f′(x)≤6 for all values of x. Use the Mean Value Theorem to determine how…

A: Here given  f′(x)≤6 for all values of x. Thus there exist c between 0 to 4 such that f'c≤0

Q: Evaluate dz using Simpson's one third rule with 6 intervals.

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Q: On the first four exams, Steve's grades are 72,77, 87, and 93. There is still one more exam and he…

A: Find the range of grade in the fifth exam.

Q: 3. Use the given graph of f(x) = vx to find a number 8 such that IVx - 20.4 x48 then if yA y Vr 2.4…

A: Consider the second inequality.

Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the…

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: If $500 is deposited in a bank account paying 3.5% interest com- pounded monthly, then the account…

A: VN=5001+0.03512N The graph is,

Q: 8. What is the value of c guaranteed to exist by the Mean Value Theorem if m(x) = x4 - 3x over the…

A: The answer for the above question is as shown below.

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

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Q: Suppose that 3 < f'(x) < 5 for all values of r. Use the Mean Value Theorem to find values for the…

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Q: 5. Show that Ax) = Inx² - 1- In/3, if f'(x)= and (2) = 0. x- 1 Justify your answer.

A: To show that f(x)=ln|x²-1|-ln√3

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Q: Find Let to (n)=0x8-1 UMVUE for ajo их --x b) 8- ~fginj खरा k). 08. 6+1/010

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Q: 5. Show that if X~F.m, then X-1 ~Fm.,

A: The probability density function of a random variable X:It is given that the random variable X…

Q: Uつ40+OLU 1ontい し いun 人 の-メS1-Xメーメを interval 3. 3. poutnd to factor p) いUtas0 -use the test -Point…

A: Let's find.

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A: From the given problem:   fx=e3x2+lnxa,b⇒2,10   As we know that the expression for the step size is:…

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A: Consider the given function.

Q: Show All Work and Label/ 16. What is the p-value that corresponds to z = -1.32?

A: z-value=-1.32

Q: 21, Referring to Example 50.9, show that G(Q&2, i/3)/Q(i 3) ~ (Za, +).

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Q: Is the number 0.5 above the interval (0.15,0.33)?

A: Given, Interval (0.15,0.33)

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Q: 8) Find what va lues of x salisfy the fellowing inequality: 3x -1 >2 2x +5

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Q: Use the mean value theorem to establish the following inequalities: x-1 b) 1 -

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Q: For which positive numbers a is it true that a" > 1 + x for all x?

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Q: Represent graphically the set of values of z for which 3 < 2 2 + 3

A: According to the given information, it is required to represent the given function graphically.

Q: 8х + 7 State the domain of the function f(x) in interval notation. 9ж + 2

A: Given,f(x)=8x+79x+2

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A: We have to find the rule

Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

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Q: Suppose that 2 < f'(x) < 4 for all values of æ. Use the Mean Value Theorem to find values for the…

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Q: Suppose that f(2) = 16 and that f'(x) 2 - 3 for all x in the interval [2,7]. Determine the smallest…

A: This question is based on Mean value theorem.

Q: A recent study showed that 90% of all people have a commute time to work of 15 minutes or more. The…

A: Given information- We have given that 90% of all people have a commute time to work of 15 minutes or…

Q: 2. Assume that any distance of 100.00 m. can be taped with an error of ±0.02 m if a certain ing…

A: