Trigonometry plus MyLab Math with Pearson eText -- Access Card Package (11th Edition)
11th Edition
ISBN: 9780134307008
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Chapter 8.2, Problem 14E
To determine
To graph: A
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Solve the oblique triangle with sides,
a
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13.2 m, b = 37.3 m, c =
Assume that,
a is the side opposite to ZA,
b is the side opposite to B,
c is the side opposite to C.
Enter answers accurate to .
If there is no solution, enter DNE.
ZA =
38.6 m.
LB =
ZC =
O
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Please solve with steps
Find all solutions of the equation answering as an expression, using n as the variable, in the form
a+bn
Chapter 8 Solutions
Trigonometry plus MyLab Math with Pearson eText -- Access Card Package (11th Edition)
Ch. 8.1 -
CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 8.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 8.1 -
CONCEPT PREVIEW Fill in the blank(s) to...Ch. 8.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10E
Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Concept Check Identify each number as real,...Ch. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Concept Check Identify each number as real,...Ch. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 -
Concept Check Identify each number as real,...Ch. 8.1 - Write each number as the product of a real number...Ch. 8.1 -
Write each number as the product of a real number...Ch. 8.1 -
Write each number as the product of a real number...Ch. 8.1 - Prob. 24ECh. 8.1 - Write each number as the product of a real number...Ch. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Find each product or quotient. Simplify the...Ch. 8.1 - Prob. 35ECh. 8.1 -
Find each product or quotient. Simplify the...Ch. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Write each number in standard form a + bi. See...Ch. 8.1 - Prob. 42ECh. 8.1 -
Write each number in standard form a + bi. See...Ch. 8.1 - Write each number in standard form a + bi. See...Ch. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 -
Find each sum or difference. Write answers in...Ch. 8.1 - Find each sum or difference. Write answers in...Ch. 8.1 - Find each sum or difference. Write answers in...Ch. 8.1 - Find each sum or difference. Write answers in...Ch. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.1 - Prob. 59ECh. 8.1 - Find each product. Write answers in standard form....Ch. 8.1 - Prob. 61ECh. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.1 - Prob. 67ECh. 8.1 - Prob. 68ECh. 8.1 - Prob. 69ECh. 8.1 - Prob. 70ECh. 8.1 - Prob. 71ECh. 8.1 - Prob. 72ECh. 8.1 - Prob. 73ECh. 8.1 - Find each quotient. Write answers in standard...Ch. 8.1 - Prob. 75ECh. 8.1 - Prob. 76ECh. 8.1 - Prob. 77ECh. 8.1 - Prob. 78ECh. 8.1 - Find each quotient. Write answers in standard...Ch. 8.1 - Prob. 80ECh. 8.1 - Prob. 81ECh. 8.1 - Prob. 82ECh. 8.1 - Prob. 83ECh. 8.1 - Prob. 84ECh. 8.1 - Solve each equation over the set of complex...Ch. 8.1 - Prob. 86ECh. 8.1 -
Solve each equation over the set of complex...Ch. 8.1 - Prob. 88ECh. 8.1 - Prob. 89ECh. 8.1 - Solve each equation over the set of complex...Ch. 8.1 - Solve each equation over the set of complex...Ch. 8.1 - Prob. 92ECh. 8.1 - Prob. 93ECh. 8.1 - Prob. 94ECh. 8.1 - Prob. 95ECh. 8.1 - Prob. 96ECh. 8.1 - Simplify each power of i. See Example 9. i25Ch. 8.1 - Prob. 98ECh. 8.1 - Prob. 99ECh. 8.1 - Prob. 100ECh. 8.1 -
Simplify each power of i. See Example 9.
101.i23
Ch. 8.1 - Prob. 102ECh. 8.1 - Simplify each power of i. See Example 9.
101. i23
Ch. 8.1 - Prob. 104ECh. 8.1 - Simplify each power of i See Example 9. i-13Ch. 8.1 - Prob. 106ECh. 8.1 - Prob. 107ECh. 8.1 - Prob. 108ECh. 8.1 - Prob. 109ECh. 8.1 - Prob. 110ECh. 8.1 - Prob. 111ECh. 8.1 - Prob. 112ECh. 8.1 - Prob. 113ECh. 8.1 - Prob. 114ECh. 8.1 - Prob. 115ECh. 8.1 - Prob. 116ECh. 8.1 - Prob. 117ECh. 8.1 - Prob. 118ECh. 8.1 - Prob. 119ECh. 8.1 - Show that -3 + 4i is a solution of the equation x2...Ch. 8.2 - CONCEPT PREVIEW For each complex number shown,...Ch. 8.2 -
CONCEPT PREVIEW For each complex number shown,...Ch. 8.2 - CONCEPT PREVIEW For each complex number shown,...Ch. 8.2 - CONCEPT PREVIEW For each complex number shown,...Ch. 8.2 - CONCEPT PREVIEW For each complex number shown,...Ch. 8.2 - CONCEPT PREVIEW For each complex number shown,...Ch. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Graph each complex number. See Example 1.
9. -3 +...Ch. 8.2 - Prob. 10ECh. 8.2 - Graph each complex number. See Example 1. 2 + 2iCh. 8.2 - Graph each complex number. See Example 1. 2 2i 3Ch. 8.2 -
Graph each complex number. See Example 1.
13....Ch. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Graph each complex number. See Example 1.
16. 2
Ch. 8.2 -
Find the sum of each pair of complex numbers. In...Ch. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Find the sum of each pair of complex numbers. In...Ch. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Find the sum of each pair of complex numbers. In...Ch. 8.2 - Prob. 29ECh. 8.2 - Write each complex number in rectangular form. See...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 -
Write each complex number in rectangular form....Ch. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 -
Write each complex number in rectangular form....Ch. 8.2 - Write each complex number in rectangular form. See...Ch. 8.2 - Prob. 42ECh. 8.2 - Write each complex number in trigonometric form...Ch. 8.2 - Prob. 44ECh. 8.2 - Write each complex number in trigonometric form...Ch. 8.2 - Prob. 46ECh. 8.2 - Write each complex number in trigonometric form...Ch. 8.2 - Write each complex number in trigonometric form...Ch. 8.2 - Write each complex number in trigonometric form...Ch. 8.2 - Write each complex number in trigonometric form r(...Ch. 8.2 - Write each complex number in trigonometric form...Ch. 8.2 - Prob. 52ECh. 8.2 - Write each complex number in trigonometric form...Ch. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Write each complex number in its alternative form,...Ch. 8.2 - Prob. 59ECh. 8.2 - Write each complex number in its alternative form,...Ch. 8.2 - Prob. 61ECh. 8.2 - Write each complex number in its alternative form,...Ch. 8.2 - Prob. 63ECh. 8.2 - Prob. 64ECh. 8.2 - Prob. 65ECh. 8.2 - Prob. 66ECh. 8.2 - Prob. 67ECh. 8.2 - 68. The graph of the Julia set in Figure 11...Ch. 8.2 - Concept Check Identify the geometric condition (A,...Ch. 8.2 - Prob. 70ECh. 8.2 - Prob. 71ECh. 8.2 - Concept Check Show that z and iz have the same...Ch. 8.3 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.3 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.3 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.3 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.3 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.3 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.3 - Find each product. Write answers in rectangular...Ch. 8.3 - Find each product. Write answers in rectangular...Ch. 8.3 - Find each product. Write answers in rectangular...Ch. 8.3 - Find each product. Write answers in rectangular...Ch. 8.3 - Find each product. Write answers in rectangular...Ch. 8.3 - Find each product. Write answers in rectangular...Ch. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Find each product. Write answers in rectangular...Ch. 8.3 - Find each product. Write answers in rectangular...Ch. 8.3 - Find each quotient. Write answers in rectangular...Ch. 8.3 - Find each quotient. Write answers in rectangular...Ch. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Find each quotient. Write answers in rectangular...Ch. 8.3 - Find each quotient. Write answers in rectangular...Ch. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Find each quotient. Write answers in rectangular...Ch. 8.3 - Prob. 28ECh. 8.3 - Use a calculator to perform the indicated...Ch. 8.3 - Use a calculator to perform the indicated...Ch. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Use a calculator to perform the indicated...Ch. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - 41. The alternating current in an electric...Ch. 8.3 - Prob. 42ECh. 8.3 - (Modeling) Impedance In the parallel electrical...Ch. 8.3 - Prob. 44ECh. 8.3 - Consider the following complex numbers, and work...Ch. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Consider the following complex numbers, and work...Ch. 8.3 - Consider the following complex numbers, and work...Ch. 8.4 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.4 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 8.4 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.4 - CONCEPT PREVIEW Fill in the blanks to correctly...Ch. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Find each power. Write answers in rectangular...Ch. 8.4 - Find each power. Write answers in rectangular...Ch. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Find each power. Write answers in rectangular...Ch. 8.4 - Find each power. Write answers in rectangular...Ch. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - For each of the following, (a) find all cube roots...Ch. 8.4 - For each of the following, (a) find all cube roots...Ch. 8.4 - For each of the following, (a) find all cube roots...Ch. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - For each of the following, (a) find all cube roots...Ch. 8.4 - For each of the following, (a) find all cube roots...Ch. 8.4 - Prob. 29ECh. 8.4 - For each of the following, (a) find all cube roots...Ch. 8.4 - Find and graph all specified roots of 1. second...Ch. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Find and graph all specified roots of i. third...Ch. 8.4 - Find and graph all specified roots of i. fourthCh. 8.4 - Find all complex number solutions of each...Ch. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Find all complex number solutions of each...Ch. 8.4 - Find all complex number solutions of each...Ch. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Find all complex number solutions of each...Ch. 8.4 - Solve the cubic equation x3 =1 by writing it as x3...Ch. 8.4 - Solve the cubic equation x3 = -27 by writing it as...Ch. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Use a calculator to find all solutions of each...Ch. 8.4 - Prob. 58ECh. 8.4 - Prob. 59ECh. 8.4 - Prob. 60ECh. 8.4 - Prob. 61ECh. 8.4 - Prob. 62ECh. 8.4 - 1. Find each product or quotient. Simplify the...Ch. 8.4 - Prob. 2QCh. 8.4 - Write each of the following in rectangular form....Ch. 8.4 - Solve 3x2 x + 4 = 0 over the set of complex...Ch. 8.4 - 5. Write each complex number in trigonometric...Ch. 8.4 - 6. Write each complex number in rectangular...Ch. 8.4 - Write each of the following in the form specified...Ch. 8.4 - Find the four complex fourth roots of 16. Write...Ch. 8.5 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 8.5 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - For each pair of polar coordinates, (a) plot the...Ch. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - For each pair of polar coordinates, (a) plot the...Ch. 8.5 - Prob. 18ECh. 8.5 - For each pair of polar coordinates, (a) plot the...Ch. 8.5 - For each pair of polar coordinates, (a) plot the...Ch. 8.5 - For each pair of polar coordinates, (a) plot the...Ch. 8.5 - Prob. 22ECh. 8.5 - For each pair of polar coordinates, (a) plot the...Ch. 8.5 - Prob. 24ECh. 8.5 - For each pair of rectangular coordinates, (a) plot...Ch. 8.5 - Prob. 26ECh. 8.5 - For each pair of rectangular coordinates, (a) plot...Ch. 8.5 - Prob. 28ECh. 8.5 - For each pair of rectangular coordinates, (a) plot...Ch. 8.5 - Prob. 30ECh. 8.5 - Prob. 31ECh. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Prob. 35ECh. 8.5 - For each pair of rectangular coordinates, (a) plot...Ch. 8.5 - Prob. 37ECh. 8.5 - Prob. 38ECh. 8.5 - For each rectangular equation, give the equivalent...Ch. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Prob. 45ECh. 8.5 - Prob. 46ECh. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - Prob. 55ECh. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8.5 - Prob. 58ECh. 8.5 - Prob. 59ECh. 8.5 - Prob. 60ECh. 8.5 - For each equation, find an equivalent equation in...Ch. 8.5 - Prob. 62ECh. 8.5 - Prob. 63ECh. 8.5 - Prob. 64ECh. 8.5 - Prob. 65ECh. 8.5 - For each equation, find an equivalent equation in...Ch. 8.5 - Prob. 67ECh. 8.5 - For each equation, find an equivalent equation in...Ch. 8.5 - Prob. 69ECh. 8.5 - Prob. 70ECh. 8.5 - Prob. 71ECh. 8.5 - Prob. 72ECh. 8.5 - Prob. 73ECh. 8.5 - Reference question: Based on the results in...Ch. 8.5 - Prob. 75ECh. 8.5 - Prob. 76ECh. 8.5 - Prob. 77ECh. 8.5 - Prob. 78ECh. 8.5 - Prob. 79ECh. 8.5 - Prob. 80ECh. 8.5 - Prob. 81ECh. 8.5 - Prob. 82ECh. 8.5 - (Modeling) Solve each problem.
83. Orbits of...Ch. 8.5 - Prob. 84ECh. 8.5 - Prob. 85ECh. 8.5 - Prob. 86ECh. 8.5 - Prob. 87ECh. 8.5 - Prob. 88ECh. 8.5 - Prob. 89ECh. 8.5 - Prob. 90ECh. 8.5 - Prob. 91ECh. 8.5 - Prob. 92ECh. 8.6 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 8.6 - Prob. 2ECh. 8.6 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 8.6 - Prob. 4ECh. 8.6 - Prob. 5ECh. 8.6 -
CONCEPT PREVIEW Match the ordered pair from...Ch. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - Prob. 9ECh. 8.6 - Prob. 10ECh. 8.6 - Prob. 11ECh. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Prob. 25ECh. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - Prob. 28ECh. 8.6 - Prob. 29ECh. 8.6 - Graph each plane curve defined by the parametric...Ch. 8.6 - Prob. 31ECh. 8.6 - Prob. 32ECh. 8.6 - Prob. 33ECh. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.6 - Prob. 37ECh. 8.6 - Prob. 38ECh. 8.6 - Prob. 39ECh. 8.6 - Prob. 40ECh. 8.6 - Prob. 41ECh. 8.6 - Prob. 42ECh. 8.6 - (Modeling) Do the following. See Examples 6-8. (a)...Ch. 8.6 - Prob. 44ECh. 8.6 - Prob. 45ECh. 8.6 - Prob. 46ECh. 8.6 - Prob. 47ECh. 8.6 -
48. Simulating Gravity on the Moon If an object...Ch. 8.6 - Flight of a Baseball A baseball is hit from a...Ch. 8.6 - Prob. 50ECh. 8.6 - Prob. 51ECh. 8.6 - Prob. 52ECh. 8.6 - Prob. 53ECh. 8.6 - Prob. 54ECh. 8.6 - Prob. 55ECh. 8.6 - Prob. 56ECh. 8.6 - Prob. 57ECh. 8.6 - Prob. 58ECh. 8 - Write each number as the product of a real number...Ch. 8 - Write each number as the product of a real number...Ch. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Perform each operation. Write answers in...Ch. 8 - Prob. 23RECh. 8 - Perform each operation. Write answers in...Ch. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 -
Write each complex number in its alternative...Ch. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Prob. 75RECh. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Julia Set Consider the complex number z = - 1 + i....
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- One of the simplest robots an engineer could make is a robot with only one "link," as shown in Figure 1a. The grasping end of this robot can only move in a circle of fixed length L. Using trigonometry, determine the x and y locations of the grasping end in terms of the fixed length L, and the variable angle 0 per Figure 1b. Create a MATLAB script that calculates this x, y position for any L and 0, and creates a plot of this configuration. (Recall: when we are plotting points, we use the plot ([x values], [y values]) command and put the x and y values of the points inside the square brackets [i.e. plot([0 x], [0 y]). Use this script to find and plot the configurations below: a a. L = 10,0 = 45° b. L= 10,0 = π/3 = c. L 5,0 205° d. L= 15,0 = -2/3 b Ꮎ ✗ yarrow_forwardCalculate the length x. Give your answer to 2 s.f. 11 cm 60° 44° x Not drawn accuratelyarrow_forward4. (10 points) Answer the questions as they relate to the graph shown. 2 From the ONE cycle shown, starting at the red star, does the graph look like a sine or cosine function? Is it reflected over the x-axis or not? What is the maximum value? What is the minimum value? What is the amplitude? What is the period? What is the phase shift? What is the vertical translation? Find A, B, C, and D Write the equation for the curve shown. -TT/4 0 TT/4 TT/2 3TT/4 2arrow_forward
- Make Variational formulation for Problem and finite element Meth J'4 2'4 H +24=1XEUT AX dy' ALUS in 12 and 4 = 04 = 0 on r on → - E Û + x ű + u = f,xe I = (OIL) and U(0)=0, U(L) = 0 ④- ((1+x) 4) = 0 x6 I= [0,1] and (0) = 0, 1) = 1 ⑤-(all) - § xe [art] du (o) = ko (46) g.), au (L) = k(u(L)-9) Where do and fare given funtions Ko Ko veg are given.arrow_forwardIs the LHS and RHS equal? How to prove it using trigonometric identities?arrow_forwardHow can we determine the limits of integration on a triangular area, giving some examples if possible? 8arrow_forward
- Make Variational formulation for Problem. and finite element Methad Du 4 8X2 21144 +24=1 XE56, uecent प Auf in IL and 4 = ou = 0 on r = U= On → - E ÿ + XÚ + u=fXCI = (OIL) 1 and 4(0)=0, 4(L) = 0 ④- ((1+x)) = x+ I = [0,1] 4 and u(0) = 0, 1) = 1 xe fail au (0) = ko (l(s) -9.), au (L) = K₁(U(L)-9) Where do and fare given funtions Ko, KL, go ove g₁ are given.arrow_forwardPlease help and explain how to solve this step by step please. this is my homework and I'm a bit confusedarrow_forwardQ1: A consider the model problem (au')'=f x = [0, L] -Sean). au'(0) = ko(u(0) - go) au' (L) =k,(u(L) - g₁) Where a > 0 and fare given functions, ko, k₁, go and g, are given parameter. Find the variational form and finite element method. Q2: Consider the variational problem with bilinear form a(u,v) = f(u'v' +u'v + uv)dx corresponding to the differential equation -u" + u' + u =f Prove that a() is V-elliptic. Q3: Consider the general problem -V. (a Vu) + b. Vu+ cu = 0, in n. VugN on მი Where a, b and c are constant 430 on Find the variational form and finite element method. 2- Prove that the bilinear form a(u, v) continuous. 3- Prove that the linear form (v) continuous. Q4: consider a region R, O≤ x ≤30≤ y ≤3 as shown in figure, that is decomposed into four triangular sub regions, designated K1, K2, K3, K4. The vertices of these regions are the nodes V1, V2, V3, V4, V5. There is only one interior node, V₁. The coordinate of the node are given in matrix V. The triangles are defind by…arrow_forward
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