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

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = } (-x? + 10x - b, x24 satisfies…

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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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A: 3x+5&lt;1

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A: The solution is given below

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Q: 8. Use finite differences method to classify the following relations as linear, quadratic or…

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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: 2. Height travel by the rocket in first 6 seconds is given by s = (5 103) || In (T00-4) dt- 180…

A: I am attaching image so that you understand each and every step.

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A: To solve the given problem of mean value theorem.

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

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

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Q: (c) Use a calculator to verify that x = 62, x = 10 = 1042, y = 650, y = 95,502, and xy = 9,765. %3D…

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Q: 4. Check whether the Mean Value Theorem can be applied to the function f(x) = 4x2 – 8x + 4 defined…

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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

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

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

A: Follow the procedure given below.

Q: If a box with a square cross section is to be sent by the postal service, there are restrictions on…

A: volume of the box,V(x)=x2104-4x

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

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Q: (b) Using the mean value theorem, prove the inequality, (1+x)“ >1+ ax, where a >1 and x > 0.

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Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

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Q: 11. Determine three positive numbers x, y and z whose sum is 10 that produce a maximum value for the…

A: x,y and z be the three positive numbers whose sum is 10that produce a maximum value for x2yz

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…

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A: 1) Given data:   The given expression for the product of the squared of the first number and the…

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.

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

A: GivenTest 1=76100           Test 3=86100Test 2=79100            Test 4=x100Find x , such that…

Q: If you are asked to find L4 for f(x) = edz) + In(x) on the interval [2,10], what would the value of…

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

Q: 0 0 which satisfies the implication when N = 2022. (ROUND TO FIVE DECIMAL PLACES WHEN NECESSARY.)

A: Let f(x) be defined for all x is not equal to a over an open interval containing a. Let L be a real…

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

A: Given, Interval (0.15,0.33)

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

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

A: Give that, A recent study showed that 90% of all people have a commute time to work of 15 minutes or…

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: 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…

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Q: Q: A- find for the functions: - In =) + In(3x2) = In(3) %3!

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