b) Let X₁, X₂, Xn-f(x) = {0x-(0*) x>1 e. w. find Suff. Comp. St.

Q: Find the value of the constant c that makes the following function co f(x) = = uous [cx + 7 cx² 7 if…

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Q: = E R is ² +1' 38. The range of the function y A. -Sus} B. -}

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Q: f X~N(196,20), find x such that Pr(X < x) = 0.563.

A: Given data  X~N(196,220) Normal distribution with mean=196 and standard deviation =20 P(x&lt;X) =…

Q: 2. a. f(x) = (x+2)/(x +4). Use the Mean Value Theorem on the interval [0, 4] to find all values of x…

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Q: 5. Let f(x) = x-3x73. Use calculus to determine the critical numbers for the function.

A: Consider the  provided function, fx=x-3x23 Find the critical point of the critical point. Find the…

Q: Find f. f"'(t)  = t   - √t

A: To find f"(t) we integrate f"'(t)

Q: TI. ExereISC Find the x-value of all points where the functions defined as follows have any relative…

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Q: d) P(-х <X —9 <х) %3D 0.95. X = i e) Р(-х <X—9 < х) %3D0.99. X =

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Q: 4. Solve for k s.t. the function is continuous 9 – x2 f(x) = x # -3 x +3

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Q: Find constants a and b such that the function 3– bx, if x>-2 f(x)=- -1, if x=-2 ax – bx, if x<-2 |…

A: Given query is to find the value of a and b.

Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: Ex:- f: [2₂2] →IR xzo f(x) = { } 2 Show that fERE 2, 2] and find S²fdx

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Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

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Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0…

A: To find For what values of b is f is continuous at x=2.

Q: let f(x)= x2 . Find the value c in the interval (0,3) so that fave = f(c).

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Q: for t < -2 t+ 6 f(t) = for -1< t < 2 t2 -- t \3t - 2 for t 2 2

A: Given- ft=t2           for t&lt;-2t+6t2-t     for  -1&lt;t&lt;23t-2      for          t≥2   To Find-…

Q: f(a) = ca + 4 if a E (-∞, 2] I ca -4 if a e (2, 00) if a E (2, ∞)

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Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: Given f(x) = x + 4, x < 0. Find (f-1)' (5) 10 1 2 | 29

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Q: On which of the following intervals is f(x) = x x-7 concave down? (-00, 3) A. (4, 5) O B. В. (5,6) O…

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Q: Let f(x)= x³+1. Then (fof)'(1)= O 20 O 36 O 3 O 9

A: Please refer to the image below

Q: Given f„(x, y) = cx (x - y), 0 < x < 2, – x <, y <.x, and 0 elsewhere, (a) evaluate c, (b) find…

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