In general, if X₁₂X₂, ...., Xn EG (X₁, X₂, --- ₂ xn) -¹ prove that. - _Xn²¹ Xn-1² x=²¹x₁¹

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: if f(x1,x2) = e-*-*2, 0 < x1 < o, 0 < x2 < o, F(x1, x2) = e-Xie-x2 + e-X2 True False

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Q: In(x² – 5x) = ln(x) + In(x – 5) True False

A: Let us verify the given statement as shown below

Q: The inverse of 4 - 3 X – 2 k(x) - is ... 4 + 2 x + 3 k- (x) k- (x) = 4 (x + 3) + 2 %| k-' (x) = 3 4…

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Q: Given So (x) = exp{- (Ax + Bx² + D* – } In D Calculate |10930 ƒor t = 10 round to 4 decimal places…

A: t|10q30 is the probability that a life aged 30 years will survive the next t years and will die…

Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: If f(x) = g(h(3x)), then f'(x) is equal to which of the following? Og'(h '(3x)) Og'(h(3x))h (3x)-3…

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Q: Given f(x) = -5√x fractions. f'(x) = 5 2√√√√x + 3 X من * 8, find f'(x) and its domain in interval…

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Q: IF X' + ㅗ X² 970 + then (x-2)(x-4) (x-4) (x-8) = ?

A: If Find the value

Q: What is the length of EF? y 4 8 units 10- 7 units 4 2 units -10 -8 -6 4 10x -2- 6 units -4- -6 -8

A: solution of the given problem is below ...

Q: 1.) Simplify the following: (a) (ln 2 + ln 3)/ ln 36 (b) e^−2 ln x (c) ln(e(^−x^2)) 2. Let f(x) =…

A: 1. (a) ln2+ln3ln36=ln2×3ln62=ln62×ln6=12=0.5 b) e-2lnx=elnx-2=x-2=1x2 c) ln(e-x2)=-x2 SInce,…

Q: In and f'() =8. What is

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Q: 4) z = loge(7 + j)*

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Q: II. Find the first derivative of the following functions 1) S(x) = [√² + (x¹+4)*]* 10

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Q: If g(1) = 4 and g' (1) = 3, find f' (1); where f(x) = g(x). Give an exact answer either in terms of…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: e (1? + Зх — 4) dx. 4) d.r.

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Q: E 40 (X) + (²²) (+) (A(+1) = 20₂² (e (t))

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Q: | (2/x-1)? dx= 4/x-ln x'+x+c. 1. 4/x+ln x*+x+c. 3. (-4)/x-ln xª+x+c (-4)/x-ln x+x+c.

A: Given: I=∫2x-12dx for evaluating given integral, first we expand given expression so, I=∫2x-12dx…

Q: pose f'(x) = √(x+3) and f(1) = 0. Find a formula for f(x) and show all of your work.

A: Given query is to find the function.

Q: If X~BET(1,2) then E(X)= (1 2/B (1/B

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Q: 109. ff(x)=x4 tan x³ -x In (1+x²), then the value of (b) 1 (c) da f(x) dx4 at x = 0, is: (d) 1 15

A: Use the properties of add and even function.

Q: If h (x) = (x² – 2x 43 04/0 0 - 12/25 3 00 - (x² – 2x − 1) ³, then h' (0) =? - 43

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Q: X912 65. f dx is equal to - √1+x" (A) = log(x² + √√x+1)+c 7/2 (C) 2√1+x" +c HT (B) log +C x" 11/2…

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Q: Suppose g and h are functions such that g (x) = ln (1 + h (sqrtx)). Find g'(4), given that h'(2) = 1…

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Q: Suppose that 9(g(x))³ + 10x = 9x²g(x) + 40, and that g(4) = = −4. Find gʻ(4). g'(4) = ▶

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Q: 2. In (x + 2) + In 2 = 3 | 4. log:9 – logs (x+ 10) = 1 6. log, (x² +3x) – log, (x + 5) = 1

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Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: If ln x + ln(x − 3) = ln(7x), then z

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