1. Show that for any number r 6= 1,
1 + r + r2 + + rn =
2. Which of the following expressions would be used to determine the partial fraction
(x2 1)(x2 + 3)
Cx + D
Cx + D
x 1 (x 1)
string person; i int grade; s struct Simple_window3 : Window cfw_ Simple_window3(Point xy, int w, int h, const string& title ) : Window(xy,w,h,title), button_pushed(false), mole2(Point(175,325),160,75," PLAY AGAIN? ", cb_next), mole3(Point(400,325),125,75
Math 231 Worksheet #23 Solutions
1. Which is larger, 3
or 34 ?
(3)(3 1)(3 2)(3 3)
3(3 1)(3 2)(3 3)
2. If limn |c|cn+1
n=0 cn (x + 4) ?
Math 231 Worksheet #18 Solutions
1. (Ratio test and Radius of convergence.)
(a) Consider a power series
n an = L. What is
the radius of convergence of the power series?
an+1 xn+1 an+1 an+1
ECE 391 MP1 Grade Sheet
Full Interface for each function
Commenting within function bodies
No errors/warnings in user-level test harness compilation
No errors/warnings during kernel compilation
Math 231 Worksheet #24 Solution
1. Consider the following.
x = et ,
Eliminate the parameter to find a Cartesian equation of the curve. Then sketch the
curve and indicate with an arrow the direction in which the curve is traced as the
Math 231 Worksheet #21 Solutions
1. You have a mystery function f . You know the following about it:
f (1) = 2, f 0 (1) = 0, f (2) (1) = 5, f (3) (1) = 1, f (4) (x) = x
Write an algebraic expression that approximates f (2) to at least 100
Math 231 Worksheet #17 Solutions
1. Can you use the Ratio test to determine the convergence of
= lim (n+1) = lim
Ratio Test: lim
an n 1 n n + 1
Why or why
Ratio Test is inconclusive and so no.
Math 231 Worksheet #22 Solutions
1. (Dif. Eq). Power series can be used to solve differential equations. Suppose that a
country has at time t a population p(t), and that the rate of change of the population
is given by p0 (t) = 2p(t).
(a) If we represent
Math 231 Worksheet #16 Solutions
1. Determine if the series is absolutely convergent, conditionally convergent or divergent.
n2 n + 1
n5 + 300n3 + 2
Since nn5 = 1n this series will diverge by limit comparison with the divergent
Study Guide for U.S. History Final Exam
Brown v. Board of Education- A 1954 case in which the Supreme
Court ruled that separate but equal education for black and white
students was unconstitutional.
Plessy v. Ferguson- An 1896 case in which the Supreme
Influential Person Essay
Bouncing down the dirt road next to the early morning fog resting on the lakes
surface, we rode in the hayride and listened to the hum of the tractor engine. Loose
wooden boards on the trailer floor shifted around and the clanking
simple ENGN112 course header to be used for the first few weeks It provides the most common standard headers (in the global namespace) a and minimal exception/error support. Students: please don't try to understand the details of headers just yet. All
/ / for Simple_window only (doesn't really belong in Window.h)
u using namespace Graph_lib; / Simple_window is basic scaffolding for ultra-simple interaction with graphics / / it provides one window with one "next" button for ultra-simple