The function f(t) is defined by f(t) = { -3t +2, 0


The function f(t) is defined by<br>f(t) = { -3t +2, 0<t<1<br>-6,<br>1<t<4.<br>Let f (t) denote the periodic extension of f(t), with period 4.<br>Evaluate f (-3.4), f (), ƒ (4.2), ƒ (6) and state the value to which the Fourier series of f(), FS(t), converges for each of the following values: t = 0,t = 0.3,t = 1,t = 4.<br>Enter all your answers correct to one decimal place.<br>• A: Enter f (-3.4): 0.2<br>B: Enter f (0): -6.0<br>• : Enter f (4.2): (1.4<br>• D: Enter f (6):[<br>• E: Enter FS(0):[<br>• F: Enter FS(0.3):|<br>• G: Enter FS(1): |<br>• H: Enter FS(4):<br>

Extracted text: The function f(t) is defined by f(t) = { -3t +2, 0<><1 -6,=""><><4. let="" f="" (t)="" denote="" the="" periodic="" extension="" of="" f(t),="" with="" period="" 4.="" evaluate="" f="" (-3.4),="" f="" (),="" ƒ="" (4.2),="" ƒ="" (6)="" and="" state="" the="" value="" to="" which="" the="" fourier="" series="" of="" f(),="" fs(t),="" converges="" for="" each="" of="" the="" following="" values:="" t="0,t" =="" 0.3,t="1,t" =="" 4.="" enter="" all="" your="" answers="" correct="" to="" one="" decimal="" place.="" •="" a:="" enter="" f="" (-3.4):="" 0.2="" b:="" enter="" f="" (0):="" -6.0="" •="" :="" enter="" f="" (4.2):="" (1.4="" •="" d:="" enter="" f="" (6):[="" •="" e:="" enter="" fs(0):[="" •="" f:="" enter="" fs(0.3):|="" •="" g:="" enter="" fs(1):="" |="" •="" h:="" enter="">

Jun 04, 2022
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