the first swing is 40 inches. How far does the bob travel in coming to rest? ELABORATE Exercise Problems: 1.How many terms of the sequence -9. -6.-3.... must be taken so that the sum is 662 2. Find the 39th term where the 4th term is-8 and d = 5. 3. Find the 63rd term where the 7 term is 23 and d = -0.3. 4. In a pile of logs, each layer contains one more log than the layer above. and the top layer contains just one log. If there are 105 logs in the pile, how many layers are there? 5. An uncle places a sum of money in a savings account for a nephew when he is born. On each succeeding birthday for the nephew, the uncle deposits $10 operty of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmiting in any form or by any means, actoric, mechanical, photocopying, recording, or otherwise of any part of the coument, without the prior written permission of sty probed 28 29/67 more than on the preceding birthday. The total of the first 21 deposits is $3675. How large was the 1" deposit? 6. Determine x so that x, 2x + 7, 10x-7 will form a G.P. 7. Insert the specified number of geometric mean a. Six, between 1 and 128 b. Six, between 0.3 and 3,000,000 8. An investment for an oil acreage paid a man, in each year after the other. three times as much as in the preceding year, if the investment paid $45.375 in the first five years, how much did it pay in the 1 year and in the 4th year? EVALUATE Practice Problems: Show complete and orderly solutions. Enclose final answers. 1. Of one hundred participants in the seminar, 89 are Civil Engineers 30 are Geodetic Engineers 20 are Sanitary Engineers 19 are both Civil and Geodetic Engineers 2 are both Sanitary and Geodetic Engineers 10 are both Sanitary and Civil Engineers 1 is a Civil, Geodetic and Sanitary Engineer a. How many participants are Civil Engineers only? b. How many participants are Geodetic Engineers only? How fani painon DIFICAL
the first swing is 40 inches. How far does the bob travel in coming to rest? ELABORATE Exercise Problems: 1.How many terms of the sequence -9. -6.-3.... must be taken so that the sum is 662 2. Find the 39th term where the 4th term is-8 and d = 5. 3. Find the 63rd term where the 7 term is 23 and d = -0.3. 4. In a pile of logs, each layer contains one more log than the layer above. and the top layer contains just one log. If there are 105 logs in the pile, how many layers are there? 5. An uncle places a sum of money in a savings account for a nephew when he is born. On each succeeding birthday for the nephew, the uncle deposits $10 operty of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmiting in any form or by any means, actoric, mechanical, photocopying, recording, or otherwise of any part of the coument, without the prior written permission of sty probed 28 29/67 more than on the preceding birthday. The total of the first 21 deposits is $3675. How large was the 1" deposit? 6. Determine x so that x, 2x + 7, 10x-7 will form a G.P. 7. Insert the specified number of geometric mean a. Six, between 1 and 128 b. Six, between 0.3 and 3,000,000 8. An investment for an oil acreage paid a man, in each year after the other. three times as much as in the preceding year, if the investment paid $45.375 in the first five years, how much did it pay in the 1 year and in the 4th year? EVALUATE Practice Problems: Show complete and orderly solutions. Enclose final answers. 1. Of one hundred participants in the seminar, 89 are Civil Engineers 30 are Geodetic Engineers 20 are Sanitary Engineers 19 are both Civil and Geodetic Engineers 2 are both Sanitary and Geodetic Engineers 10 are both Sanitary and Civil Engineers 1 is a Civil, Geodetic and Sanitary Engineer a. How many participants are Civil Engineers only? b. How many participants are Geodetic Engineers only? How fani painon DIFICAL
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:the first swing is 40 inches. How far does the bob travel in coming to rest?
ELABORATE
Exercise Problems:
1.How many terms of the sequence -9, -6. -3, .. must be taken so that the sum is
662
2. Find the 39h term where the 4h term is -8 and d = 5.
3.
Find the 63rd term where the 7m term is 23 and d = -0.3.
In a pile of logs, each layer contains one more log than the layer above,
and the top layer contains just one log. If there are 105 logs in the pile, how many
layers are there?
4.
5.
An uncle places a sum of money in a savings account for a nephew when
he is born. On each succeeding birthday for the nephew, the uncle deposits $10
eparty of and tor the excusive use of SLU. Reproductior, storing in a remevai system, derbuting uplcading or posting onine, or transmiting in any form or by anyg
Tans, astrerie, mechanca, photoceng, racording, or oherwise of any part of this cooument wtout the prior witan pemasion of S ty prohted 28
29 / 67
more than on the preceding birthday. The total of the first 21 deposits is $3675.
How large was the 1" deposit?
6.
Determine x so that x, 2x+ 7, 10x -7 wil form a G.P.
Insert the specified number of geometric mean
a. Six, between I and 128
b. Six, between 0.3 and 3,000,000
7.
An investment for an oil acreage paid a man, in each year after the other.
three times as much as in the preceding year, if the investment paid $45.375 in
the first five years, how much did it pay in the 1" year and in the 4" year?
8.
EVALUATE
Practice Problems:
Show complete and orderly solutions. Enclose final answers.
1. Of one hundred participants in the seminar,
89 are Civil Engineers
30 are Geodetic Engineers
20 are Sanitary Engineers
19 are both Civil and Geodetic Engineers
2 are both Sanitary ond Geodetic Engineers
10 are both Sanitary and Civil Engineers
1 is a Civil, Geodetic and Sanitary Engineer
a. How many participants are Civil Engineers only?
b. How many participants are Geodetic Engineers only?
c. How many participants are Sanitary Engineers only?
2. Given that U - (x:sxS 10., x is an integer).
G= (x:x is a prime number),
H= (x:xis an even number).
P= (1, 2, 3, 4. 5).
List the elemernts of:
a. H'n (GUP) b. (PUHUG)'n GN H)
3. The 5th term of an A.P, is 15 and the first tem is 3. What is the sum of the first 10
terms?
4. The number 28, x + 2, 112 form a geometric progression. What is the 10th term?
5. There are 6 geometric means between 4 and 8748. Find the sum of the terms.
6. Find the fourth term of the progression 1/2, 1/5, 1/8.
eparty at and tor the ve e of SU Raproductor, mng in a meva systam, dmung uplnading or pesting onina, or transmitng nany tormor by an
nens, eetoric, medherical, photocopyng, recordng, or oherwe of any cert of the dooument witout the pro witen pemission of SLU. icty prohbted 29
DIFICAL
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