(Continuation of Exercise 73.) Use the Max-Min Inequality to find upper and lower bounds for c0.5 dx and 5dx. Add these to arrive at an improved estimate of Lite ;dx. 1 + x2

Q: 1. 4. Use the Min-Max inequality to find upper and lower bounds for dx 1+x2

A: Given integralI=∫0111+x2dxfx=11+x2We can observe that fx is decreasing function .

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A: We need to find derivative.

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A: Positive numbers x and y,x+y=75xy2 is maximized

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A: Given that x>0. We have to find the maximum value of  x1x5.

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A: local linear approximation formula for g(x)g(x)=g(a)+g'(a)(x-a)

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (3.97)3

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A: Follow the procedure given below.

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Q: Find Positive nombers X$ Y Such that X+y = 78 and 24xy a is maximized

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Q: True or False: The linear function y = mx + b , where m ≠ 0 has no maximum value on any open…

A: true, the function y = mx +c has no maximum value in any open interval Reason: the graph of y = mx+c…

Q: 4. Which of the following function has an absolute minimum on (-o, +00)? (a) ƒ(x) = 5 – 3x² (b) f(x)…

A: Given: To identify which function has an absolute minimum on (-∞, +∞) a) f(x)=5-3x2 b) f(x)=x5+3x2…

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Q: | (1 – a*)dæ (1 — а?) а

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Q: Vx² - 5x +1 a) lím V4x +3x

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Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. kx2…

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Q: True or False: The linear function y=mx+b, where m≠0 has no maximum value on any open interval.…

A: The linear function y=mx+b, where m≠0 has no maximum value on any open interval.

Q: Find the number in the interval [ – 1, - 0.25] so that the sum of that number and its square is…

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