Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made p…
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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For the part circled in pencil, how did we get this? 

Student: Jessica Clements Date: 05/04/21 Course: MTH-14 n/16 cos 4x dx 'Click to view the table of general integration formulas. F(x)dx = F(b)-F(a) a Let F(x) = f(x)dx = F(b) - F(a). To evaluate the integral, first find F(x). %3D F(x) =- sin 4x+ C 4. Because of the subtraction, a constant in F(x) will not affect the value of E(b)- F(a). Thus, there is no need to include the constant C. 1/16 cos 4x dx =F 16 - F(0) %3D T/16 1 sin 4x %3D Next, find F 16 금) 1 %3D F 16 sin 4 4. 16 2 1 4/2 Find F(0). 1 sin 4(0) F(0) %D 4 = 0 Finally, evaluate the integral. %3D
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Transcribed Image Text:Student: Jessica Clements Date: 05/04/21 Course: MTH-14 n/16 cos 4x dx 'Click to view the table of general integration formulas. F(x)dx = F(b)-F(a) a Let F(x) = f(x)dx = F(b) - F(a). To evaluate the integral, first find F(x). %3D F(x) =- sin 4x+ C 4. Because of the subtraction, a constant in F(x) will not affect the value of E(b)- F(a). Thus, there is no need to include the constant C. 1/16 cos 4x dx =F 16 - F(0) %3D T/16 1 sin 4x %3D Next, find F 16 금) 1 %3D F 16 sin 4 4. 16 2 1 4/2 Find F(0). 1 sin 4(0) F(0) %D 4 = 0 Finally, evaluate the integral. %3D
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