# Solutions to homework 1

Solutions to homework assignment #1 1 sketch the curve r=1+cos 0 2ˇand nd the area it encloses –1 –05 0 05 1 05 1 15 2 figure 1: the curve r=1. 2 math 215b solutions to homework 1 3 (12marks)showthatforaspacex, thefollowingthreeconditionsareequivalent: (a) every map s1 → xis homotopic to a constant map, with image a point (b) every map s1 → xextends to a map d2 → x (c) π 1(x,x 0) = 0 for all x 0 ∈ x deduce that a space xis simply-connected iﬀ all maps s1. Step 6: we fail to reject h 0 at the 005 level of significance we do not have sufficient evidence to conclude that the proportion of defective units exceeds 1. Solutions to homework 1 math 316 1 describe geometrically the sets of points z in the complex plane deﬁned by the following relations 1=z = z (1.

Solutions to homework 1 fm 5021 mathematical theory applied to finance 11 what is the diﬀerence between a long forward position and a short forward position when entering into a long forward contract, a trader agrees to buy the underlying asset for a certain price at a certain time in the future. Get professional help with household payroll and tax compliance for nannies, housekeepers and senior caregivers at homework solutions we have offered payroll help since 1993 and continue to deliver top-quality services to. View homework help - solutions to homework 1 from acct 2050h at minnesota e1-2 matching financial statement items to financial statement categories lo1-1 according to its annual report, p&gs more. Solutions to homework 4 dog does not select cancer 3 1 4 total 36 38 74 solution the dog got ^p b = 33=36 = 0:917 or 917% of the breath samples correct and ^p.

Some solutions to homework #1 math 435 { spring 2012 certainly there are many correct ways to do each problem #2 from page 50 suppose g is a nite set with a associative binary operation satisfying the rule ab = ac implies that b = c and also that ba = ca implies that b = c we want to prove that g is a group. 1 £a2 where a1 and a2 are (nonzero) commutative rings with identity solution: if a1 and a2 are (non-zero) commutative rings with identity, then (10) and (01) are nontrival idempotents of a1 £ a2.

View step-by-step answers to math homework problems from your textbook try a sample math solution for a typical algebra, geometry, and calculus problem. Solutions to homework 5 debasish das eecs department, northwestern university [email protected] 1 problem 417 we want to run dijkstra algorithm whose edge weights are integers in the range 0,1 ,w where w is a. Solutions to homework 3 section 34, repeated roots reduction of order 00q 1) find the general solution to y 2y0+ y = 0 answer: the characteristic equation is. Ma203 linear algebra - solutions to homework 1 2 (h) consider the following system of equations : 2x − y − 3z = −8 x + 2y + z = 1 4x − 4y − 5z = −2.

Solutions to homework assignment #3 chm 152 spring 2002 1327 we know that half of the substance decomposes in a time equal to the half-life, t1/2. Solutions to homework 1 - math 170, summer session i (2012) (1) in class, we had used pigeonhole principle to show that if we choose any 6 numbers. Solutions to homework 1 statistics 302 professor larget textbook exercises 213 rock-paper-scissors rock-paper-scissors, also called roshambo, is a popular two-player game often used to quickly determine a winner and loser in the game, each player puts out a st (rock), a at hand (paper), or a hand with two ngers extended (scissors.

## Solutions to homework 1

Solution: the hard part is to translate the above into an equation the area of the region which lies below the graph of y= f(x), above the x-axis, and between the lines x= 0 and x= a, where a 0 is. Solutions to homework 1 210 a the two jobs are identical, so the order does not matter when selecting two applicants, the sample space is { jim, don , jim, mary. Ex 116: consider each matrix in exercises 5 and 6 as the augmented matrix of a linear system state in words the next two elementary row operations that should be performed in the process of solving the system.

A 20 npv 10 \$818 11 = − + = b 5 npv 5 \$955 11 = + = c 10 npv 20 \$1091 11 = − = b if only one of the projects can be chosen, project c is the best choice because it has the highest npv c if two of the projects can be chosen, projects b and c are the best choice because they offer a higher total npv than any other combinations 3-12. Solutions to homework 1 debasish das eecs department, northwestern university [email protected] 1 problem 1 the algorithm will print gcd and lcm of x and y. Solutions to homework 1: matlab basics contents problem 0 problem 1 problem 2 problem 3 problem 4 problem 5 problem 0 load('homework1mat') problem 1 set1 = randn(1. Line y= 2 asymptotically as x1 the solutions that begiat at y= 2 will stay on the line y= 2: the solutions in the region y 2 are always increasing however, as they approach the line y= 2, they must level out since the derivatives when y= 2 are zero these solutions must tend to the value 2 as x1. Fall 2006 physics 140a °c xun jia (october 2, 2006) problem #1 in each of the following cases indicate whether the structure is a bravais lattice if it is, give 3 primitive vectors if it is not describe it as bravais lattice with as small as. Solution to homework 1 23-3 induction base case: for k=1, which means n=2 nlogn gives 2log2=2, which means the base case holds hyposthesis: suppose the solution holds for k, induction step: for k+1, which means n=2k+1, we have: t(2k+1)=2t(2k+1 /2)+2k+1 =2t(2k)+2k+1 by the induction hypothesis, we have: t(2k)=2k lg2k.

1 outline of solutions to homework 1 problem 13: for convenience we place the cube with one corner at the origin and the cube in the positive quadrant. Solutions to homework #8 1 let p3 be a prime prove that 3 p = ˆ 1 if p 1 or 11 mod 12 1 if p 5 or 7 mod 12 in two di erent ways: (i) using quadratic reciprocity. 53 + n + 1 = 53 + (n − 6) + 7, and by the induction hypothesis, there are integers a and b such that 53+(n−6) = 7a+10b, so 53+n+1 = 7(a+1)+10b therefore any number of cents greater than 53 can be formed using 7 and 10 cent stamps (13 # 30) show that 2n n2 whenever n is an integer greater than 4 we proceed by induction on n. Solutions to homework 1 question 1: prove that a function f : x −→ y is continuous (calculus style) if and only if the preimage of any open set in y is open in x. Math homework help and answers choose your math subject elementary education pre-algebra algebra geometry integrated math algebra 2 trigonometry precalculus calculus probability statistics college algebra discrete math finite math linear algebra differential equations business math abstract algebra analysis advanced mathematics complex. Ee364a homework 1 solutions 21 let c ⊆ rn be a convex set, with x 1 ,xk ∈ c, and let θ1 ,θk ∈ r satisfy θi ≥ 0, θ1 + θk = 1 show that θ1x1 + θkxk ∈ c (the deﬁnition of convexity is that this holds for k = 2 you must show it for arbitrary k) hint use induction on k solution. Solutions to homework assignment 1 1 (10pts) solve the following ﬂrst order pde and ﬂnd where the solution is deﬂned in the x¡y plane ux +xyuy = 0u(x1) = x2 solution: by the method of characteristics.

Solutions to homework 1
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