(3) h(x) = sin^-1x

1.本題正確答案的選項為何?在下面表格每個選項右邊欄位的 中打勾(1 分)

2.請評估並在下面表格中寫出每個選項為正確或錯誤的理由。(4 分)

(1) f(x) =

(2) g(x) = log₂(x² + x + 1)

(4) F(x) =dt 

(1) dx

(2)(cos3 x + 1)tan x) dx 

(3) ∫2x dx

(4)dx

3. (15%) Suppose that the source of current in an electric circuit is a battery. Then the power output P (in watts) obtained if the circuit has a resistance of R ohms is given by where E is the electromotive force in volts and r is the internal resistance of the battery in ohms. If E and r are constant, find the value of R that will result in the greatest power output. What is the maximum power output?