Use the Alternating Series Estimation Theorem to estimate the
range of values of x for which...
Use the Alternating Series Estimation Theorem to estimate the
range of values of x for which the given approximation is
accurate to within the stated error. Check your answer
graphically
2. If the values of x in problem range from 2 to 25, should you
use this model to predict the mean value of y when x =
a. 3 ?
b. -3 ?
c. 0 ?
d. 24 ?
3. Fitting a straight line to a set of data yields the following
prediction line: Y = 16 - .05x
a. Interpret the meaning of y intercept, b0
b. Interpret the meaning of slope, b1
c. Predict the value for...
Use the table of values to estimate S ^6 0 f(x) dx, use three equal subintervals and the
(only solve part D)
Left end points
Right end points
Midpoints
When f is an increasing function, how does each estimate compare with the actual value? Explain your reasoning
x
0
1
2
3
4
5
6
F(x)
-6
0
8
18
30
50
80
D. Also find L6, R6, T3, and T6. Remember that Tn is the average of Ln...
Use the values provided to complete the questions below.
a. What values are out of range?
b. Are they high or low?
c. Which abnormal value concerns you the most?
d. What nursing assessments must you perform because of
this?
e. What priority nursing intervention would you anticipate?
Why?
Test
Value
Glucose
83
BUN
14
Creatinine
0.7
Sodium
133
Potassium
6.1
Chloride
111
CO2
24
Linear regression question If the range of the x-values are
from x=100 to x=150, why might we be reluctant to
use our data to perform a hypothesis test on β0?
Use the remainder theorem to find the remainder when f(x) is
divided by x-1. Then use the factor theorem to determine whether
x-1 is a factor of f(x).
f(x)=4x4-9x3+14x-9
The remainder is ____
Is x-1 a factor of f(x)=4x4-9x3+14x-9?
Yes or No
At a relative maximum of a curve y(x), the slope dy/dx is zero. Use the following data to estimate the values of x and y that correspond to a maximum point.
2.a Use Rolle's Theorem to prove that if f ′ ( x ) = 0 for all
xin an interval ( a , b ), then f is constant on ( a , b
).
b True or False. The product of two increasing functions is
increasing. Clarify your answer.
c Find the point on the graph of f ( x ) = 4 − x 2 that is
closest to the point ( 0 , 1 ).
Use the factor theorem to show that x+2 is a factor of f(x). The
find all real zeroes for the polynomial given that x+2 is a factor
of f(x). f(x) = x^3 -5x^2 -2x +24
Consider the iterative method below designed to sum a range of
values from x to y.
public static int fun(int x, int y) {
int ans = 0;
for(int i = x; i <= y; i++)
ans = ans + i;
return ans;
}
Which of the following recursive methods are algorithmically
equivalent to the iterative method shown above:
I.
public static int fun(int x, int y) {
if(x == y)
return 0;
else return x + (x + 1,...