6. Let a, x, and y be real numbers and let e > 0. Suppose that |x-a| < e and |y-a| < e. Use the Triangle Inequality to find an estimate for the magnitude of |x – y|.

Q: Use the Mean Value Theorem to establish e > 1+ x, x > 0. Answer:

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Q: Find the lowest value of y = 8 +x 6 in the interval ≤ x ≤4. 2

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Q: The answers go with in the interval [0,4].

A: According to guidelines ,I am doing first 3 subparts. Repost for next question.

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A: We have to find the following conditions from the given information

Q: Given the function y = 4x – 11, the third differences will all equal O a) 12 O b) 4 O c) 24 d) 8

A: For a cubic sequence, the third difference is a constant . Take arbitrary values for x and calculate…

Q: Let A= (1,3] and B= (2,6] this is interval notation find the following a. A U B b.A n B c. B-A d. A…

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Q: b.) have a maximum value f(7)=3? c.) have a maximum value f(2)=5?

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Q: 3. The speed, in km/h, of a certain car t seconds after passing a police radar location is given by…

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Q: a) x-intercept: c) Domain: b d

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Which open interval corresponds to the open ball B(-3, 0.5)?

A: Solution:  We know that on real Line, the open balls are defined by  B(x,∈)=x-ε,x+ε    ....(1) where…

Q: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

A: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

Q: 4.The height, h, in metres, of a BMX rider t seconds after leaving a jump can be modelled by the…

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Q: so² + 15t+ 2, where t is the time in seconds, and h is the height i How long is a puck in the air if…

A: It is given that,  The given model is,  h(t)=-5t2+15t+2