Find the domain of r(t) and the value of r(to).NOTE: Round your answer to two decimal places when needed.r(t)cos(πt)iln(t)j + √tDomain is: Choose oneNOTE: Enter your answer in terms of i, j, and k.r(17)==16k; to 17=

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Answered: Find the domain of r(t) and the value…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter55: Introduction To Circles

Section: Chapter Questions

Problem 26A

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By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form x2+y2+Dx+Ey+F=0, we see that D=2h,E=2k, and F=h2+k2r2. Therefore, the center and the length of a radius of a circle can be found by using h=D2,k=E2 and r=h2+k2F. Use these relationship to find the center and the length of the radius of each of the following circles. x2+y2+4x14y+49=0
Solve the following exercises based on Principles 11-14, although an exercise may require the application of two or more of any of the principles. Round the answers to 3 decimal places where necessary unless otherwise stated. a. If radius x = 7.500" and y = 4.500", find PM. b. If radius x = 8.000" and y = 4.800", find PM.
Solve the following exercises based on Principles 15-17, although an exercise may require the application of two or more of any of the principles. Round the answers to 3 decimal places where necessary unless otherwise stated. AB and CB are tangents. a. If y = 137.20 mm and ABC = 67.0, find (1) 1 and (2) x. If y = 207.70 mm and 1 = 33.8, find (1) ABC and (2) y.
For T:R5R3 and nullity(T)=2, find rank(T).
Write a CNC G-code program to machine the part in the following figure, so that the tip of the tool follows this path: rapid movement to a point above P8, with z=4 . using absolute dimensioning change to tool "4, with a clockwise spindle speed of 2500 rpm, with coolant on and a feed rate of 14 in./min using incremental dimensioning -rapid movement to 4 in. above P1 -rapid movement to lower the tool to be 0.1 in. above the top surface of the part -move the tool to be 0.5 in. below the top at a 14 in./min feed rate -follow the path around the perimeter to points P2 through PI, ending at P1, using the 14in„/min feed rate turn off the spindle and coolant use absolute dimensioning to return to the start point end the program

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Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when needed. Domain is: Choose one NOTE: Enter your answer in terms of i, j, and k. r(17) = r(t) = cos(at)i ln(t)j + √t - 16k; to = 17