If E[X] = 2 and E[X2] = 8, calculate the following correctly. a) E[(2+4X)2]. b) E[X2+(X +1)2].

Q: IV. Solve the following equations. 9. 8. 14-2x-5 + 2 = 34 10. log, (6 – 4n) = log6(3 – n) - 1+x 11.…

A: As per bartleby expert policy only first individual question is to be answered. Kindly repost…

Q: |Example 6.12. Prove with the usual notations, that (i) hD = log (1 + A) = - log (1- V) = siiih- (E)…

A: Please find step by step solution below:

Q: Find the exact solution for e2x−2ex−35=0. If there is no solution, enter NA.   If there is no…

A: Given  equation e2x - 2ex  - 35 = 0

Q: 4. If p = a + b + c a. Determine the range of g(x) = e b. If aa = bb = c . -12x-11 ab log.(ab) _ bc…

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Q: ) f(x) Log2 x ,x= 32 b) F (x) = Log3 x , x=1 c) f(x) = Log 4 X, x= 2 d) F(x) = Log10 x, x= 1/100 e…

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Q: Find the exact solution for e2x−2ex−48=0.   If there is no solution, enter NA.   Enclose…

A: Given- e2x−2ex−48=0 we have to find the exact solution for the give equation.

Q: 6. Suppose you drop a golf ball onto a hard surface from a height h. The collision with the ground…

A: Disclaimer: Since you have multiple sub parts of question, we will solve first three part for you.if…

Q: a. If (ln x)/x = (ln 2)/2, must x = 2? b. If (ln x)/x = -2 ln 2, must x = 1/2? Give reasons for your…

A: Take a function y= 2lnx - x*ln2

Q: Find the exact solution for e2x бе — 27 — 0. If there is no solution, enter NA. Enclose arguments of…

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Q: solve for x in the following equation: log2(x-2)- log2 (x-5)=3 a. x=38/7 b.x=27/5 c.x=6 d.…

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Q: 5.-find the exponential Ronction fa)= ab? tha satisfies the condition f(0) = -4 and f(-3) = - 500

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Q: 10)Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after x years can be…

A: Given the amount of Carbon-14 remaining in a sample of 100 milligrams after x years is given by:…

Q: (1+ax 1-ax dx Evaluate log x1-x

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Q: Find the exponential function y = ab whose graph passes through the points (3, 108). y = > Next…

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Q: f the exponential generating function is (ex-1)3, find a formula for a

A: To find the sequence an for the below exponential generating function. fx=ex−13

Q: Does F(x) = -r³ have a cycle of prime period 2? Justify your answer.

A: Given : F(x)=-x3 Now, we have to check whether it's period is 2 or not. We will plot graph of this…

Q: Evaluate the expression, ln (1/e2)  without using a calculator. If evaluation is not possible, state…

A: Evaluate: ln1e2

Q: (1) If the general solution of the PDE is Zr e+g(x-logz) then find the PDE.

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: 17. Find the root of 3x – e-x = 0.

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Q: QUESTION 3 Solve the equation for y in terms of x. In y+9 In x = 1.3863 1.3863 y =' O y- O y=4-x9…

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Q: 1. Find the exponential function f(x) = Cb* whose graph s given. %3D (3, 24) (1, 6)

A: Algebraic equation from the graph of the function.

Q: Question 4 Find the value of x5 in 1 decimal places (positive value) using Secant Method (5th…

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Q: 5. Solve for the values of "x" in the equation ey+1 = In x + x² – 1

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Q: Question 2 d Let ar cos log3(x)) = ksin(f(x)) g(x)In3 Compute k+f(9) + g(-3)

A: As we know that: The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And ddxlogax=1xlna   From…

Q: Log 2 = 0.301, log 3 = 0.477,  log 5 = 0.699 and log 7 = 0.845 Using this information only, find:-…

A: According to the given information, The given log values are:

Q: A radio active element (x) has a half-life of 38 hours. Initially, x = x.. Determine the amount of…

A:

Q: 1. log 7x 2. log,10a log 5(7)-log5(x) log 5(10)-log5(a) 3. logs 4. log;7x log 5(5)-log5(a) 5. log,x…

A: Use property of log

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: 4. Solve the following logarithmic equations. a. 2logx = log2 + log(3x – 4) d. logx + log(x – 1) =…

A: The logarithmic properties; 1). logbmp=plogbm 2). logbm·n=logbm+logbn 3). logbmn=logbm-logbn 4). If…

Q: 64 = x 98. log5 625 = x 99. 1og3 104. e-2r+1 = 13 1 102. e2x = 3 101. e = 10 103. e2r+5 = 8 105.…

A: We use logarithmic properties

Q: How large does x have to be, so that e^(-x/10)<0.1?

A: We need to find the values of x for which the following inequality holds good.

Q: Example 9: Solve the following for the exact value of x a) log,xlog, 27+2 log, 2-log, 3 b) logx+log…

A: Refer to the question we need to find the value of x of the provided logarithm equations as,

Q: Solve for A: AR+AT=E

A:

Q: 1. Given that z=8-6i, write its exponential form. Round off decimal answers up to 3 decimal places.

A: Here, a=8b=6

Q: 1 Find E(- X4

A: Let X have Gamma Distribution : The pdf of Gamma Distribution is given by f(X)=αλΓλl-λxxλ-1, λ>0

Q: Determine a possible exponential function E such that E(1) = 4 and E (2) = 16.

A:

Q: 1. 52+3i 2. (2 + 3i)2-i 3. i 4. log(6 – i) 5. In(2 – j) 6. e(2+1)(3-j) 7. 5(1 – i)10 8. In(5 –…

A: To Evaluate each expression in polar form: 1) 52+3i2)(2+3i)2-i  3)ii

Q: 2. Which of the following is equivalent to the expression: 2+3 log2 (x + 1) – log (2x – 1)? 2(x+ 1)3…

A: The given expression is: 2+3log2(x+1)-log2(2x-1)

Q: 8. In general a logistic model has an equation of this form: A F(t) = 1+ Be-kt where A > 0, B and k…

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Q: 9. Find the exponential functions of the form f(x) = ab* that pass through 1 1) (-2, 32) and (1,-) 2…

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Q: log(2– 3i) = %3D 2.56 -0.98 i + 2kT 2 2.56 -0.98 i +i 2KTT 2 2.56 -0.98 i +i 2kTt O -2 2.56 +0.98 i…

A: We have direct formula for logarithm

Q: 16 24 8 log. Z. to

A: Given logay16z24x58

Q: solve for e in e6x =5

A: e6x =5

Q: ■ Example 8.21. Using Euler-Maclaurin formula, find the value of log 2 from d

A: Problem is solved using Euler-Maclaurin Formula.

Q: T + log, (V27 - 2") sin 24-1 + log, (log; (915) + п1+(-1)17 + 1) + (-1)5 + (-1)27 (-1)766 25 – 24 –…

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Q: 1) loga (x") = r loga(x) 2) loga (x · y) = loga x + loga y 3) loga (=) = loga (x) – loga(v) Example…

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Q: The principal value of tan- (2i) is :Select one 1 +i-log, 3 .a 1 log, 3+ i- .b 2 2 c. None of these…

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