Instructions

For the following questions answer them individually

Question 41

Question 42

# Let $$f:[0, \infty)$$ \rightarrow R be a continuous function such that $$f(x)=1-2x+ \int_{0}^{x} e^{x-t} f(t) dt$$ for all $$x \in [0,\infty]$$ Then, which of the following statement(s) is (are) TRUE?

Instructions

For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer

Question 43

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Question 44

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Question 45

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Question 46

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Question 47

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Question 48

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Question 49

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Question 50

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