Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 11.1, Problem 1E
Solve each equation:
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1) a) Determine which functions are solutions of the following
linear differential equation:
y"- 6y' + 9y=0
i) e³x
isė
зх
23x
ii) xe ³x iii) x² ³x iv) (x+3) e³x
3×
хе
b) Find the Wronskion
хе
the set of functions that you fand
for
as the solution of the differential equation above
from a)
c) What does the result that you found from b) imply?
conici
2) Perform a rotation of axes to eliminate the xy-term,
identify and sketch the graph of the following a
5x²-2xy + Sy²=24=0
Chapter 11 Solutions
Elementary Technical Mathematics
Ch. 11.1 - Solve each equation: x2+x=12Ch. 11.1 - Solve each equation: x23x+2=0Ch. 11.1 - Solve each equation: x2+x20=0Ch. 11.1 - Prob. 4ECh. 11.1 - Solve each equation: x22=xCh. 11.1 - Solve each equation: x215x=54Ch. 11.1 - Solve each equation: x21=0Ch. 11.1 - Solve each equation: 16n2=49Ch. 11.1 - Solve each equation: x249=0Ch. 11.1 - Prob. 10E
Ch. 11.1 - Solve each equation: w2+5w+6=0Ch. 11.1 - Solve each equation: x26x=0Ch. 11.1 - Prob. 13ECh. 11.1 - Solve each equation: c2+2=3cCh. 11.1 - Solve each equation: n26n60=0Ch. 11.1 - Solve each equation: x217x+16=0Ch. 11.1 - Solve each equation: 9m=m2Ch. 11.1 - Solve each equation: 6n215n=0Ch. 11.1 - Solve each equation: x2=108+3xCh. 11.1 - Solve each equation: x2x=42Ch. 11.1 - Solve each equation: c2+6c=16Ch. 11.1 - Solve each equation: 4x2+4x3=0Ch. 11.1 - Solve each equation: 10x2+29x+10=0Ch. 11.1 - Solve each equation: 2x2=17x8Ch. 11.1 - Solve each equation: 4x2=25Ch. 11.1 - Solve each equation: 25x=x2Ch. 11.1 - Solve each equation: 9x2+16=24xCh. 11.1 - Solve each equation: 24x2+10=31xCh. 11.1 - Solve each equation: 3x2+9x=0Ch. 11.1 - A rectangle is 5 ft longer than it is wide. (See...Ch. 11.1 - The area of a triangle is 66 m2, and its base is 1...Ch. 11.1 - A rectangle is 9 ft longer than it is wide, and...Ch. 11.1 - A heating duct has a rectangular cross section...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Prob. 4ECh. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.3 - A variable voltage in an electrical circuit is...Ch. 11.3 - A variable electric current is given by i=t27t+12,...Ch. 11.3 - A rectangular piece of sheet metal is 4 ft longer...Ch. 11.3 - A hole in the side of a large metal tank needs to...Ch. 11.3 - The area of the wings of a small Cessna is 175...Ch. 11.3 - The perimeter of a rectangle is 46 cm, and its...Ch. 11.3 - The perimeter of a rectangle is 160 m, and its...Ch. 11.3 - A rectangular field is fenced in by using a river...Ch. 11.3 - The dimensions of a doorway are 3 ft by 7 ft 6 in....Ch. 11.3 - A square, 4 in. on a side, is cut out of each...Ch. 11.3 - A square is cut out of each corner of a...Ch. 11.3 - The area of a rectangular lot 80 m by 100 m is to...Ch. 11.3 - Prob. 13ECh. 11.3 - A border of uniform width is printed on a page...Ch. 11.3 - A company needs to build a ware house with...Ch. 11.3 - A 2000-ft2 storage building 9 ft high is needed to...Ch. 11.3 - A landscaper is laying sod in a rectangular front...Ch. 11.3 - A rectangular forest plot contains 120 acres and...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Simplify: j3Ch. 11.5 - Simplify: j6Ch. 11.5 - Simplify: j13Ch. 11.5 - Simplify: j16Ch. 11.5 - Simplify: j19Ch. 11.5 - Simplify: j31Ch. 11.5 - Simplify: j24Ch. 11.5 - Simplify: j26Ch. 11.5 - Simplify: j38Ch. 11.5 - Simplify: j81Ch. 11.5 - Simplify: 1jCh. 11.5 - Simplify: 1j6Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11 - Prob. 1RCh. 11 - Solve for x:3x(x2)=0Ch. 11 - Solve each equation by factoring: x24=0Ch. 11 - Solve each equation by factoring: x2x=6Ch. 11 - Solve each equation by factoring: 5x26x=0Ch. 11 - Solve each equation by factoring: x23x28=0Ch. 11 - Solve each equation by factoring: x214x=45Ch. 11 - Solve each equation by factoring: x2183x=0Ch. 11 - Solve each equation by factoring: 3x2+20x+32=0Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - The area of a piece of plywood is 36 ft2. Its...Ch. 11 - A variable electric current is given by the...Ch. 11 - Draw the graph of each equation and label each...Ch. 11 - Draw the graph of each equation and label each...Ch. 11 - Express each number in terms of j: 36Ch. 11 - Express each number in terms of j: 73Ch. 11 - Simplify: j12Ch. 11 - Simplify: j27Ch. 11 - Determine the nature of the roots of each...Ch. 11 - Determine the nature of the roots of each...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - A solar-heated house has a rectangular heat...Ch. 11 - A rectangular opening is 15 in. wide and 26 in....Ch. 11 - Solve each equation: x2=64Ch. 11 - Solve each equation: x28x=0Ch. 11 - Solve each equation: x2+9x36=0Ch. 11 - Solve each equation: 12x2+4x=1Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Draw the graph of y=x28x15 and label the vertex.Ch. 11 - Draw the graph of y=2x2+8x+11 and label the...Ch. 11 - Express each number in terms of j: 16Ch. 11 - Express each number in terms of j: 29Ch. 11 - Simplify: j9Ch. 11 - Simplify: j28Ch. 11 - Determine the nature of the roots of 3x2x+4=0...Ch. 11 - One side of a rectangle is 5 cm more that another....
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