cubic centimeters \"Just need the answer\" \"Just need the answers\" \"Just need
ID: 2828008 • Letter: C
Question
cubic centimeters
"Just need the answer"
"Just need the answers"
"Just need the answer"
Use linear approximation or differentials to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.080000 cm thick to a hemispherical dome with a diameter of 75.000 meters. Use linear approximation, i.e. the tangent line, to approximate 81.2 as follows: Let f(x) = x. The equation of the tangent line to f(x) at x = 81 can be written in the form y = mx+b where m is: Using this, we find our approximation for 81.2 is One side of a right triangle is known to be 20 cm long and the opposite angle is is measured as 30^{circ}, with a possible error of plusminus 1 degree . Use differentials to estimate the error in computing the length of the hypotenuse. What is the percentage error rounded to the nearest hundredth of a percent.?Explanation / Answer
1)v=(2/3)pir^3
dv=2pir^2 dr
dv=2*pi*(75/2)^2 *0.08
dv=706.858=707cm^3
3)A)1degree=pi/180radians
sin30=20/x
==>x=40
sin theta= 20/x
cos theta dtheta=-20/x^2 dx
dx=(x^2 /20)*cos theta dtheta
=(1600/20)*(cos30)*(pi/180)
=1.21 cm
B)1.21/40 *100
=3.02
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.