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olya-2409 [2.1K]
2 years ago
9

Selected values of the twice-differentiable function h and its first and second derivatives are given in the table above. What i

s the value of ∫41xh′′(x)ⅆx ?.
Mathematics
1 answer:
Elena L [17]2 years ago
3 0

Answer:

Step-by-step explanation:

∫41 xh''(x)dx=41[x∫h''(x)dx-∫{1∫h''(x)dx}dx]+c

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Add 22+14. Then multiply 12. Then divide by 2
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What is the answer beteen 8 and 10 when you divided by a fraction and a whole number
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The answer is 8and 10 when you divided is 0.8
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What is the quotient when the fraction 1/3 is divided by the whole number 6?
dsp73

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\frac{1}{18}

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2 years ago
(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an
Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>
  • The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
  • Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

To know more about the maxima, here

brainly.com/question/17184631

#SPJ1

4 0
1 year ago
9. A store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of jeans for $62.50, what
Serga [27]

Answer:

B. 12.50.

Step-by-step explanation:

62.50 x .20 = 12.5

Hope this helps and good luck.

3 0
3 years ago
Read 2 more answers
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