7528204
Description
Quiz by Jackie Grant, updated more than 1 year ago
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Created by Jackie Grant
almost 8 years ago
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Question 1
Question
\( { \rm If} \ y = x^2 +7, { \rm \ differentiating} \ y \ {\rm with \ respect \ to} \ x\ {\rm gives}\)
Answer
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\( x +7 \)
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\( x +C , \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
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\( 2x +7 \)
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\( 2x \)
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\(0.5 x^3 +C , \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
Question 2
Question
\( x = 3 \cos ( \pi t + \frac{2\pi}{3} ), \ {\rm find \ the \ value \ of } \frac{dx}{dt} {\rm when} \ t=1.0. \ Note \ the \ angle \ is \ measured \ in \ radians. \)
Answer
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\( -0.86 \)
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\( 8.2 \)
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\( 0 \)
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\( -2.6 \)
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\( 1.5 \)
Question 3
Question
\( { \rm If} \ y = 6e^{2x} , { \rm \ differentiating} \ y \ {\rm with \ respect \ to} \ x\ {\rm gives}\)
Answer
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\( 12e^{2x} \)
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\( 6xe^2 \)
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\( 6e^{2x} \)
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\( 6xe^{2x} \)
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\( 12e^x \)
Question 4
Question
\( { \rm If} \ y = 2{\rm sin}(2x+\pi), { \rm \ differentiating} \ y \ {\rm with \ respect \ to} \ x\ {\rm gives}\)
Answer
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\( 4 {\rm cos}(2x+\pi) \)
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\( 4x{\rm cos}(2x+\pi) \)
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\( 4 {\rm sin}(2x+\pi) \)
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\( 4x {\rm sin}(2x+\pi) \)
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\( 2x {\rm cos}(2x+\pi) \)
Question 5
Question
\( { \rm An \ arrow \ is \ fired \ which \ travels \ with \ vertical \ motion \ described \ by } \ y = -5t^2+10t .\)
\( { \rm \ It \ hits \ a \ target \ at \ t=1.5s. \ Is \ the \ arrow \ ascending, \ or \ descending \ when \ it \ hits?}\)
Answer
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\( {\rm Ascending }\)
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\( {\rm Descending }\)
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