If In x + In(x - 7) = ln(7x), then x =

Q: If $4,000 is invested at 7% compounded continuously, how long will it take for it to grow to $6,000,…

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Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration

Q: look at attachment need for reference

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Q: Solve for x x/12.4=4ft 6in/6ft 3 in

A: 1 ft=12 inch 4 ft 6 inches =4(12)+6=54 inches 6 ft 3 inches =6(12)+3=75 inches

Q: Suppose that in a certain area the consumption of electricity has increased at a continuous rate of…

A: topic- exponential function

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

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Q: 2) 12

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Q: population

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Q: 3. How long will it take $5000 to triple if it is invested at 7.5% compounded continuously?

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Q: Compute sinh(ln 5) and tanh(3 ln 5) without using a calculator.

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 3 years

A: The formula used: A=Pert

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Consider the following exponential function: y=abx                                  ...... 1 Here,…

Q: Show that ln11 + e2x 2 = 2x + ln11 + e-2x2.

A: Here we have to prove that;  ln(1+e2x)= 2x+ln(1+e-2x)

Q: By using Mean Value Theorem, show that ln(1+x)  0

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Q: Express in terms of sums and differences of logarithms. 2 In In 3 3x y 2 3 3x y

A: Given:ln23x3ywe need to express this logarithm in terms of sums and differences.We know thatln (ab)…

Q: How would I calculate the principle value of  ln(-ie)

A: Given, z=lne-i Convert e-i to polar form. For a complex number a+bi  polar form is given by,…

Q: Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are ne units 3.1…

A: Given: μ=population mean=3.1x=data point=6 We know that the critical value of z for 99% confidence…

Q: 6) In(x²) = (ln x)²

A: These are all unrelated problems since anyone can be solve without any help of another. So by…

Q: 2. Express in terms of sums and differences of logarithms In 2 3x³y (In 2 divided by 3x³y)

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period.2…

A: Given: P=12,104  dollarsr=0.062t=2  years

Q: Suppose that you have $2500 to invest at 4% compounded continuously.  The accumulated amount after…

A: Given investment amount $2500 and rate of interest r=4%=4100=0.04. Compounded continuously. The main…

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 4 years.

A: Given : Invest amount ( P ) = $ 12,104 . Interest rate ( r) = 6.2 %  Period ( t) = 4 years

Q: As an active environmentalist who is interested in the impact of climate change on sea level, you…

A: Given: Mount Kinabalu is 4095m above sea level at the beginning of year 2015 . However, due to…

Q: A CERTAIN RADIOACTIVE MATERIAL IS KNOWN TO DECAY AT A RATE PROPORTIONAL TO THE AMOUNT PRESENT. IF…

A: Given that, after one hour, the 10% of the material is decayed. find the expression of the material…

Q: 2-if y³ = ln xx

A: Please refer to the image below

Q: Determine whether the following statement is true or false, and explain why. (ln 3)4 = 4 ln 3

A: We know that, ln an=n ln a ; n is an integer

Q: The population of Northern Cascadia is growing at a rate of 20% every 3 years. Assuming that it…

A: Topic: percentage

Q: - In 8 e³ -5 ln(

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Q: As an active environmentalist who is interested in the impact of climate change on sea level, you…

A: Let Pn represents the elevation of n years for Mount Kinabalu.   At the beginning of the year…

Q: Suppose that $10,000 is invested at rate k, compounded continuously, and grows to $15,851.32 in 7…

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Q: Expand ln 3√y3z2/x4 as a sum, difference and/ or the consent multiple of logarithms.

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Q: If the present population (x = 0) is 9000, what population size is expected in 144 years?

A: Given dervitative function - dNdx = -400x+256where,N = number of total school population.x = number…

Q: Suppose that all car owners fill when their tanks are exactly half full. At the present time, an…

A: Given that (1) The number of customers per hour arrive at a single pump gas station λ=7.5 the time…

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: fx=lnx,  gx=ln2x

Q: Find the absolute maximum and minimum values of ƒ(x) =10x (2 - ln x) on the interval [1, e2 ]

A: The given function is  ,fx=10x2-lnx on interval 1 , e2. To find the absolute maximum and minimum…

Q: How is ln x affected if x is multiplied by et?

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Q: express ln 3√4 in terms of ln 2 and/or ln 3

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Q: What initial investment at 8% compounded continuously for 5 years will accumulate to $50, 000?

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Q: If lnx+ln(x−4)=ln(7x)lnx+ln(x-4)=ln(7x), then x=x=

A: Given equation is lnx+lnx−4=ln7x......1 We have to find the value of x. Use property lnm+lnn=lnmn…

Q: A man wishes his son to receive 0200, 000 ten years from now. What amount should he invests if it…

A: Given query is to find the the investment to get 200000 in ten years.

Q: Šolve. In(-x + 1) – In(3x + 5) = ln(-6x + 1)

A: To solveln-x+1-ln3x+5=ln-6x+1

Q: 2. If the upper and lower sums are used with regularly spaced points to compute de ,how many points…

A: Given:

Q: How large do we have to take x so that 1/x

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Q: Give 5 example of integrals yielding natural log functions with solution

A: The integral examples are:

Q: An average of 20 cars per hour arrive at the drive-inwindow of a fast-food restaurant. If each car’s…

A:

Q: If $3000 is invested at 5% interest, find thẻ välue of the investment at the end of 5 years if the…

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: 11) Suppose that $6500 is invested at 4% for 3 years. Find the total amount present at the end of 3…

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Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: