2/ Let the Polf fext = then E(X) is 2. 225 (30-x) 225 ③2x815 15 ≤x≤ 30

Q: is intea rable Primitive aR 2 > X 3 1 2. 1 ラメラ 。 (今さ うx 31 ラ× %3D >入う。

A: we have Fx=0            0≤x<12x-1    1≤x≤2and fx=1     0≤x≤12    1≤x≤2 i The primitive of a…

Q: (е) АПС ofreR|- ofxeR/-: o{xeR/- R-3 < x < 0 or 7 < x s o {xER-3 < x < 0 or 7 < x < 9 33x< 0 or 7 <x…

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Q: 4.ca) Deferroine the values of a and b Tat make the function ford continuous for all real numbers.…

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Q: Solve the ineguality (Sobmit answer in interval notation x(1 -x²) ³ 73( 1-x²)3

A: The inequalities can be solved by first simplifying the side of inequalities. Then use…

Q: Use f(x) = x² + x + 12 and g(x) = x - 3 to answer the following. 12) Find: f(g(x)) (5 josxs…

A: Function

Q: 8. Determine values of a and b so that the following function is continuous. f(x) = (2+3x-2x2 2-x…

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Q: O There are Two incorrect formulas for the following function x² + 2x-3 = 0, 0≤x≤2 True False

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Q: (- 0,a) is measurable.

A: Note that, every interval is measurable.

Q: Determine with reason whether the given arithmetic function is completely manipulative.  f(n) = n^3

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Q: Find the range (i) x+5≥ 1. (ii) x+5> x-21. (iii) x+5<\x²+2x+31.

A: We can solve the range of 'x'.

Q: Let f(x) = 4x%/1 and g(x) = 2x/² . Find (fg) (x) and L(x). Then evaluate fg and for x = 16. %3D…

A: Use function composition and division rule

Q: 10. Find the open interval of monotonicity where the following function is increasing, decreasing,…

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Q: 3x + 4, f(x) = }x? - 5, 5, x 2 8. evaluate: f(-1.5) = f(6.5) =

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Q: Reducing Expressions Write an entire steps, showing every step and naming each rule that is used. 1.…

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Q: 28/8<y+9/4<35/8  what is the interval notation

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Q: If X ~ N(80, 144) then find (90< x<100).

A: GivenX~N(80,144)Mean(μ)=80variance(σ2)=144standard deviation(σ)=144=12

Q: Say whether function f(x) = 5x7 - x9 + x4 is .7 a) Odd o b) Even O c) Neither O

A: Find your answer below

Q: x2 + 3 x < -4 3x 5 -4 < x < –1 Find the following where M(x) = -1 < x < 2 5x +1 4 < x <7 2x + 8 7 <…

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Q: If fixgy is continuons and x is connected, then so is f(x). 50

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Q: X~N(253, 39).  Find P(260< X < 340).  (Round to 3 decimal places.)

A:

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: 44. 5x + x2 S 15 X1 + x2 s7 X1, X2 2 ()

A: There are two inequalities in i-system. Hence we will introduce two slack variables, s1 and s2.…

Q: Q3 Suppose that X ~ N(-8, 14). Find:

A: Consider X as a random variable that follows a normal distribution with mean (-8) and standard…

Q: 4- |x - 2| + 4 < 10

A: Absolute rule: If x&lt;a and a&gt;0, then -a&lt;x&lt;a. The given inequality is x-2+4&lt;10.

Q: For the piecewise function, find the values h(-4), h(3), h(5), and h(7). - 3x - 14, for x < - 4 h(x)…

A: From the given function

Q: de Ja V(z- a)(b – x) ‚a < b

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Q: Express {x : 2 &lt; Ix - 11 &lt; 6} as a union of two intervals.

A:

Q: Solve 1. (x+4)(x+2)(x-3)≤0 2. (x+3)2 (x-1)2 > 0

A: 1. (x+4)(x+2)(x-3)≤0 (x+4)(x+2)(x-3) = 0 x +4 = 0       or    x+2 = 0         or x-3 =0 x= -4…

Q: Refer to Example 3 to find a value of 8 > 0 such that 1 then 1 If 0 < |x – 3| < 8, < 10-4 3 - - -

A: Consider : 1x-13&lt;10-4 if x-3&lt;δ. Find δ. Since,…

Q: f(x) = {-2x + 3 if x <3 3 if x ≥ 3 ain why it does not exist.

A:

Q: What is the statement x > 5 in interval notation? O [5,0) O (5,00) O [5.0]

A: To determine: x &gt;5 in the interval notation.

Q: 4 11 -10 For the given function, determine consecutive values of x between which each real zero is…

A: Givenf(x)=-7x4-8x3-4x2+8x+12  To find  Consecutive numbers between real zeros of f.