the table gives a total U.S expenditure for health services and supplies selected years from 2000 and projected to 2018.
year $(billion)
2000 1264
2002 1498
2004 1733
2006 1976
2008 2227
2010 2458
2012 2746
2014 3107
2016 3556
2018 4086
a. find an exponential function model to these data, with x equal to the number of years after 2000. b) use the model to estimate the U.S expenditure for health services and supplies in 2020.
2.The percent of boys age x or younger who have been seually active are given below.
Age cumulative percent seuual active girls cumulative percent sexual active boys
15 5.4 16.6
16 12.6 28.7
17 27.1 47.9
18 44.0 64.0
19 62.9 77.6
20 73.6 83.0
a). Creat a logarithmic function that model the data using an input equal to the age of the boys.
b) use the model to estimate the percent of boys age 17 or younger who have been seually active
c. compare the percent that are sexually active for the two genders, what do you conclude.
3). if $12000 is invested in an account that pays 8% interest, compounded quaterly, find the future value of this investment
a) after 2 year. b) after 10 years.
4).if $9000 is invested in an account that pays 8% interest, compounded quaterly . find the future value of this investment
a) after 0.5 year b)after 15 years
5. Grandparents decide to put a lump sum of money into a trust fund on their gtanddaughters 10th birthday so that she will have $1000000 on her 60th birthday. if the fund pays 11% compounded monthly. how much money must they put in the account.
6.At the end of t years the future value of an investment of $25000 in an account that pays 12% compounded quaterly is
S=25000(1+0.12 /4t )^4t dollars.. a) How many years will the investment amount to $60000.
In: Math
Arguments & Standard Form
Find an article from google scholar (topic is
irrelevant just need something that will be easy to understand).
Examples might be college drinking, overcrowding in prisions, Apple
phone issues, really anything etc, etc. Please copy and past the
link where you got it from though, it doesn’t need to be in any
format.
One argument needs to inductive, and the other has to
be deductive. After copying and pasting the passge rewrite the
passage (probably a paragraph) in standard form. Please indicate
which passage in inductive and which is deductive. Lastly, if
possible if it can be explained why they might be inductive and
deductive.
In: Math
a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5)) on the circle disk with the center of origin and radius 4.
b) Also calculate the maximum the value MaxBorder that the function assumes on the border.
In: Math
1) Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.
a(t) = 7i+ 4j, v(0) = k, r(0) = i
2) Find the tangential and normal components of the acceleration vector.
r(t) = 5(3t − t3) i + 15t2 j
In: Math
1. Given parametric equations below, find the values of t where the the parametric curve has a horizontal and vertical tangents.
a) x=t^2 - t, y= t^2 + t
b) x= e^(t/10)cos(t), y= e^(t/10)sin(t)
2. Find the arc length of the graph of the parametric equations on the given intervals.
a) x= 4t+2, y = 1-3t , −1 ≤ t ≤ 1
b) x= e^(t/10)cos(t), y= e^(t/10)sin(t), 0 ≤ t ≤ 2π
In: Math
1. Given parametric equations below, find dy/dx , equations of the tangent and normal line at the given point.
(a) x = t^2 , y = t^3−3t at t = 1
(b) x = cos(t), y = sin(2t) at t = π/4
2. ) Given parametric equations below, find d^2y/dx^2 and determine the intervals on which the graph of the curve is concave up or concave down.
(a) x = t^2 , y = t^3−3t
(b) x = cos(t), y = sin(2t)
In: Math
Find the equation of the circle ((x-a)2 + (y-b)2 = r2 ) that goes through the points (1, 1), (0, 2), and (3, 2). [Hint: subtract equations.]
In: Math
The following DEs are not solvable as written. Perform the given variable change to turn them into something that you are equipped to solve (e.g. either linear, separable or exact) and then find the general solution. Your answer should be in the form y(x)=...y(x)=...
a) dydx=x2+y2−2xydydx=x2+y2−2xy using u=y−xu=y−x
b) xdydx−y=x2−y2−−−−−−√x>0xdydx−y=x2−y2x>0 using u=yxu=yx
c) dydx=y(xy3−1)dydx=y(xy3−1) using u=1y3
In: Math
Consider the function below.
f(x) =
| ex |
|
3 + ex |
Find the interval(s) where the function is decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
Find the local maximum and minimum values. (If an answer does not exist, enter DNE.)
Find the inflection point. (If an answer does not exist, enter DNE.)
Consider the function below.
f(x) =
| x2 |
| x2 − 16 |
Find the interval(s) where the function is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
Find the inflection point. (If an answer does not exist, enter DNE.)
local minimum value
In: Math
Solve the inequality. (Enter your answer using interval notation.)
(x + 5)2(x + 2)(x − 1) > 0
In: Math
a)
Find the value of the Wronskian of the functions f = x^7
and g = x^8 at the piont x = 1.
b)
Let y be the solution of the equation y ″ − 5 y ′ + 6 y = 0
satisfying the conditions y ( 0 ) = 1 and y ′ ( 0 ) = 2.
Find ln ( y ( 1 ) ).
c)
Let y be the solution of the equation y ″ + 2 y ′ + 2 y = 0
satisfying the conditions y ( 0 ) = 0 and y ′ ( 0 ) = 1.
Find the value of y at x = π.
d)
Let y be the solution of the equation y ″ + 6 y ′ + 9 y = 0
satisfying the conditions y ( 0 ) = 0 and y ′ ( 0 ) = 1.
Find the value of the function f ( x ) = ln [ (y(x))/(x)] at x = 1.
e)
One of solutions of the equation y ″ − y ′ + y = x^2 + 3x + 5
is a function of the form y = A*x^2 + B*x + C.
Find the value of the coefficient C.
f)
One of solutions of the equation y ″ − 2 y ′ + 2 y = ( x + 1 ) e^x
is a function of the form y = ( A*x + B ) e^x.
Find the value of the coefficient B.
In: Math
Shane (famous Western movie name of the star character) settles down in Wyoming Territory. He lives the same distance from General Store (-78,202), the Saloon is (111, 193) and the Courthouse (202, -106). What are coordinates of Shane's home?
How far is Shane's house from the place mentioned?
What is the equation passing through the General Store, Saloon and Courthouse?
In: Math
A manufacturer estimates that production (in hundreds of units) is a function of the amounts x and y of labor and capital used, as f(x,y)=[ 1/3x-1/3+1/3y-1/3]-3. Find the number of units produced when
8 units of labor and 27 units of capital are utilized. Find and interpret
fx (8,27) and fy (8,27).
What would be the approximate effect on production of increasing labor by 1 unit?
A) The number of units produced when 64 units of labor and 125 units of capital are utilized is ___
B) fx( , ) =
c) fy=( , )
d) The approximate effect on production of increasing labor by 1 unit would be ___ units
In: Math
perform a rotation of axes with a suitable angle of rotation (no xy term) and identify the related conic.
1. x2-xy+y2=2
2. x2-3y2-8x+30y=60
In: Math
A lamina occupies the region inside the circle x^2 + y^2 = 6x, but outside the circle x^2 + y^2 =9.
Find the center of mass if the density at any point is inversely proportional to its distance from the origin.
In: Math