Let a < b be real numbers, and let T Qn [a, b]. Prove that sup T = b. =

Q: Let Z∼N(0,1). Find P(-2<Z<1).

A: From the provided information,Z~N (0, 1)The probability P (-2&lt;Z&lt;1) need to be calculated.

Q: Prove: If a &gt; 0, then (1/a) &gt; 0.

A: It is given that a&gt; 0.It is known that if ab &gt; 0 then a &gt; 0 or b &gt; 0 or a&lt; 0 or b…

Q: he following table shows the value V, in dollars, of product t years after it is purchased T | 0 | 2…

A: Here in the given question, there are 4 observations and the cost in dollars V is decreasing and…

Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: best Rank 2 approximation F ind weth respect to I|F|l the where to A -1 2 -1

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Q: Let 0 &lt; a &lt; b. Use the Mean Value Theorem to show that

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Q: Prove.

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Q: Sketch the regien enclosed by the given curueS Y = xe*

A: Question- Sketch the region enclosed by the given curves: y = x2 e(-x) &amp; Y= x e(-x)

Q: 6. Prove that |xy| = |x|ly| for all real numbers x, y.

A: The given problem is to prove the following statement. Given statement is |xy|=|x||y| for all real…

Q: 4. Find an upper and a lower bound for the set E= x +1 : -1 < x2 +1

A: Given: E=x+1x2+1:-1&lt;x≤2

Q: Let R = (6, 5). Calculate the length of OR. ||OR||

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Q: Let fo find t

A:

Q: Show that for any positive integers i and j with i > j, we have T;(x)T;(x) = [Ti+;(x) +T;-j(x)].

A: we have to show, for any positive integers i and j with i&gt;j TixTjx=12Ti+jx+Ti-jx Now, we know…

Q: [t was wrong

A:

Q: Find all values of z such that z5 =1 - i.

A: Given: z5=1-i, To find: All values of z.