Math 17A Homework
Classical Homework Assignments
These problems are NOT required for submission. Even though these problems are optional, you are responsible for knowing how to solve all of them and are highly encouraged to try as many as possible.
Solutions are provided by Dr. Kouba.
HW#1: Section 1.1 (pg 13): #3ab,4a, 5ab, 8, 12, 15, 18, 20, 25, 28, 30, 31, 44, 46, 47, 51, 52, 55, 59, 62, 63, 65, 67, 71, 74ab, 75ab, 77abc, 81a, 82b, 84c, 87, 90, 102 ... Solutions
HW#2: Section 1.2 (pg 34): #1, 2, 7, 8, 12, 16, 31, 33, 36, 56, 58, 69bcd, 70, 75, 81bde, 82adf, 83c, 84d, 99 ... Solutions
HW#3: Section 1.3 (pg 52): #1, 2, 5, 6, 8, 9, 11, 15, 17, 23, 30, 100 ... Solutions
HW#4: Section 2.1 (pg 67): #1, 4, 5-9, 12, 13, 17, 20, 22, 26, 29, 37, 42, 47, 54 ... Solutions
HW#5: Section 2.2 (pg 67): 2, 9, 10, 19-22, 26-31, 34, 38, 39, 43, 45, 49, 50, 72, 75, 78, 81, 83, 88, 91, 93, 96, 100, 105, 106, 109 ... Solutions
HW#6: Section 2.3 (pg 88): #1, 3, 6, 8, 9, 12, 14, 15, 20, 21, 24, 55, 57 (Make a conjecture about the behavior of Nt/Nt-1 as t gets large.) ... Solutions
HW#7: Section 3.1 (pg 101): #(Use arithmetic and algebra as done in class to write solutions to limit problems) 2, 3, 6, 7, 9, 10, 11, 13, 21, 23, 24, 26, 28, 29, 32, 34 (Use algebra and approved shortcuts.), 36, 41, 47, 49, 50, 54 ... Solutions
HW#8: Section 3.2 (pg 108): #3, 5, 7 (Insert f(x)=a if x=3.) , 8-12 ... Worksheet 1 ... Solutions
HW#9: Section 3.3 (pg 113): #1-3, 8-10, 13-16, 18-24, 27, 29 ... Solutions
HW#10: Section 3.4 (pg 118): #1, 4ac, 5-16, 19, 20 ... Solutions
HW#11: Section 3.5 (pg 122): # 2, 4, 5, 7, 9a(first use the IMVT to prove that the equation is solvable. Change the function from 3x^3-4x^2-x+2 to 3x^3-4x^2-x+3) ... Complete the Bisection Method in the following TABLE by assuming that f(x)=ln(x+1)+x-1 is solvable on the interval [0, 1] and estimating the value of the solution to two decimal places ... Solutions
HW#12: Section 4.1 (pg 143): # (Use the limit definition to compute all derivatives.) 1, 2, 5, 10,13, 21, 23a, 24a, 25, 26, 30, 35, 38, 39, 42 (Assume that s'(t)=3-2t.), 49, 51, 58, 64, 67, 68 ... and ... Worksheet 2 ... Solutions
HW#13: Section 4.2 (pg 149): # 1, 4, 6, 10, 16, 18-20, 25, 30, 32, 37, 44, 50, 60, 64, 67, 69, 73, 75, 78 (Note that the point (0,-1) is NOT on the graph of y=x^2.), 80 (Note that the point (-1/2,-3) is NOT on the graph of y=x^2+2x.) ... Solutions
HW#14: Section 4.3 (pg 158): # 1, 4, 6, 9, 17, 23, 26, 28, 35, 36, 38, 43, 47, 48, 49, 52, 65, 72, 73, 83, 87, 94 ... Solutions
HW#15: Section 4.4 (pg 172): # 2, 5, 9, 12, 16, 17, 19, 24, 27, 34a, 35b, 37, 38, 43, 47, 48, 50-55, 60a, 61, 63, 65, 69-71, 74, 80, 86ab ... Gravity Problems ... Solutions
HW#16: Section 4.5 (pg 177): # 1, 5, 6, 9, 11, 13, 14, 17-19, 21, 24,27-29, 32, 37, 41, 44, 46, 48, 51, 55, 56, 57, 59 (on interval [0, 2 pi]), 60 (on interval [0, 2 pi]), 63, 65, 69, 70, 71, 73 (on interval [0, 4]) ... Solutions
HW#17: Section 4.6 (pg 181): 1, 4, 8, 9, 11, 13, 14, 17, 20, 21, 24, 29, 33, 37, 42, 49, (Use the limit definition of the derivative to solve problems 53-56.) 53-56, 59, 60, 61, 64, 70, 71, (For the following two problems assume that dW/dt=kW for radioactive decay, so that W=W(0) e^{kt}, where W(0) is the initial amount of radioactive material.) 72, 73 ... and ... I. Initially, a bacterial culture weighs 50 grams. In 4 hours it weighs 85 grams. Assuming exponential growth, find the growth equation for this culture. a.) What is the mass of the culture in 6 hours ? b.) When will the culture have a mass of 200 grams ? ... II. The half-life of radioactive radium is 1600 years. If a sample containing 20% of the original amount remains, how old is the sample ? ... and ... III. Estimate the percentage of carbon-14 in Kwaday Dan Sinchi by assuming he died in 1400 and the half-life of carbon-14 is about 5730 years. ... Solutions
HW#18: Section 4.7 (pg 192): 2, 5, 7, 11, 15, 26, 31, 34, 36, 37, 45-47, 49, 51, 58, 60, 63, 67, 71-73, 76 ... Solutions
HW#19: Section 4.8 (pg 198): # 2, 3, 9, 11, 17, 22, 32, (Use the differential for the remaining problems.) 37, 38, (Only estimate the maximum absolute % error for f in the next 3 problems.) 41, 43, 44, 45, 46 ... Solutions
HW#20: Section 5.1 (pg 213): # 35, 36, 38, 40, 41, 44, 48, 55 ... Solutions
HW#21: Section 5.2 (pg 222): # (Do Detailed Graphing using these INSTRUCTIONS for the first nine problems.) 2, 6, 7, 10, 14, 15, 17, 19, 20, 29, 30, 33, 42 ... Solutions
HW#22: Section 5.3 (pg 235): # (Do Detailed Graphing using these INSTRUCTIONS for all problems.) 1, 2, 7, 12, 14, 16, 22 (Assume domain is all x-values. Assume that limit (x to infinity) of x/e^x is 0.), 28, 33, 36, 37 (Rewrite the function to be f(x)= (2x^2-6)/(x+2). Note that oblique asymptote means the same as tilted asymptote.) ... Solutions
HW#23: Section 5.3 (pg 243): # 1, 3-6, 9, 11ab, 13, 17, 19a ... and ... Worksheet 3 ... Solutions
HW#24: Section 5.5 (pg 252): # 2, 3, 6-9, 11, 13, 14, 15, 19-21, 23, 24, 26, 30, 33, 35, 37, 38, 40, 42-44, 49, 52, 58, 60, 61, 63, 66 (Assume that a=1.) ... Solutions
HW#25: Section 5.7 (pg 266): # (Find solutions to THREE decimal places for problems 1, 3, and 5.) 1 (Assume x>0.), 3, 5, 6, 8a ... Solutions
Written Homework Assignments
Read, Reflect, and React Prompt #1
Read, Reflect, and React Prompt #2
Read, Reflect, and React Prompt #3
Read, Reflect, and React Prompt #4
Read, Reflect, and React Prompt #5