Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 199907: If the population in New York was 107.4 million in the year 2006 and it continues to grow at an annual rate of 1.43% then the population in 2028 will be
107.4(1.0143)14 power.
Find the predicted population in 2020 to the nearest 10th of a million
My team mates and I can not figure out how to lay out the equation for this one.
So we thought 2020=2006= 14yrs. and 2028-2020 = 8 yrs difference.
then multiply the 1.43 x 12 x 8 ????? I'm/were confused.
Click here to see answer by jim_thompson5910(28595)  |
Question 200331: not sure if I have the right area
consider the following
6x^3/5+5square root symbol x inside-6/3square root symbol x inside
use the power rule for differentiation to find f'(x). Give your answer using the form below where B>D>F
f'(x)=Ax^B+Cx^D+Ex^F
can someone help please
Click here to see answer by solver91311(16885)  |
Question 200488: For the exponential functions e^x and logarithmic function logx graphically show the effect if x is halved. Include a table of values for all for functions. Please can someone graph this for me my calculators on my system cannot do these and I am clueless. Thank You.
Click here to see answer by solver91311(16885) |
Question 200746: find the relative maximum and relative minimum values of the function below.
f(x)=x^3+9x^2+15x-7
relative maximum: -5, _____
relative minimum: -1, ______
can not figure out the _____ part
can someone help please
thanks
Click here to see answer by RAY100(1637) |
Question 200743: can someone help please
My teacher is asking which of these statements is/are true select all that apply
1. if F(x)=f(x)*g(x), then F'(x)=f'(x)*g'(x)
2. if c is a constant, then d/dx(c*f(x))=c*d/dx(f(x))
3. if c is a constant, then d(c)/dx=0
4. if F(x)-f(x)+g(x), then F'(x)=f'(x)+g'(x)
5. if F(x)=f(x)*g(x), then F'(x)=f(x)*g'(x)+g(x)*f'(x)
6. none of these
7. if k is a real number, then d(x^k)/dx=kx^k-1
thanks a bunch
Click here to see answer by jim_thompson5910(28595) |
Question 201242: Write the transformed function f(x) = 8^x is horizontally compressed by a factor of 2.
How would i slove this?
In general functions are compressed horizontally by a factor of two when you replace the 'x' in the function with '2x'.
The solution for this particular problem would be:
f(x) = 8 ^(2x)
This can be simplified...
f(x) = 8 ^ (2 * x)
f(x) = (8 ^ 2) ^ x
f(x) = 64 ^ x
Click here to see answer by jsmallt9(3296) |
Question 201313: not sure how to set up and do
an airport shuttle has an average of 1200 passengers per day and charges 15 per ride. Each 1 dollar increase in fare results in a loss of 50 riders. What should the fare be to maximize the revenue?
can someone help please
thanks
Click here to see answer by stanbon(57354) |
Question 201333: question on worksheet. can someone help please thanks thanks
Suppose that a population that is exhibiting exponential growth triples after 8 years. What will the population be after 16 years if the original population was 10000?
Click here to see answer by Alan3354(30993)  |
Question 201606: which of the following statements is/are true-select all that apply
if f'(x)>0, then f(x) is increasing
if f(x) is increasing, then f'(x)>0
if f(x) is increasing, then f(x)>0
if f(x)>0, then f(x) is increasing
I am so confused can someone help please
thanks
Click here to see answer by J2R2R(94)  |
Question 201612: Using the function
y=(4x^2-8x+3)^4 find y' using the chain rule(extended power rule)answer in the form y'=A(Bx^2-Cx+D)^e(fx-G)
note all answers are integers
which I got what is 4(4x^2-8x+3)^3 but can not figure out (fx-g) part and then it ask now use y' to find the equation of the tangent line at the point (2,81)
y=_________________ x-_____________
thanks
Click here to see answer by jsmallt9(3296) |
Question 201601: Determine where the graph of the function is concave up and concave down (if you need to enter use infinity or - infinity)
f(x)=x^3-15x^2+12x+6
concave up
concave down
can someone help please
thanks
Click here to see answer by RAY100(1637) |
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