Quiz

Calculus: Maths Diagnostic

Jackie Grant 5 questions Updated 18 Jan 2017

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Questions in this quiz (5)

1\( { \rm If} \ y = x^2 +7, { \rm \ differentiating} \ y \ {\rm with \ respect \ to} \ x\ {\rm gives}\)
1. A\( x +7 \)
2. B\( x +C , \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
3. C\( 2x +7 \)
4. D\( 2x \)
5. E\(0.5 x^3 +C , \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
2\( { \rm If} \ u = 2v^{-3} +6v, { \rm \ integrating} \ u \ {\rm with \ respect \ to} \ v\ {\rm gives}\)
1. A\( -v^{-2} +3v^2 +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
2. B\( -0.5v^{-4} +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
3. C\( -0.5v^{-4} +12v^2 \)
4. D\( -4v^{-2} +12v^2 +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
5. E\( -v^{-4} +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.} \)
3\( x = 3 \cos ( \pi t + \frac{2\pi}{3} ), \ {\rm find \ the \ value \ of } \frac{dx}{dt} {\rm when} \ t=1.0. \ Note \ the \ angle \ is \ measured \ in \ radians. \)
1. A\( -0.86 \)
2. B\( 8.2 \)
3. C\( 0 \)
4. D\( -2.6 \)
5. E\( 1.5 \)
4\( {\rm Calculate} \ J \ {\rm where} \ J= \int^{0.90}_{0}(17000 +12000x - 28000x^{2})dx \)
1. A\(1.3 \times 10^{4} \)
2. B\( -1.9\times 10^{3} \)
3. C\( 4.6\times 10^{3} \)
4. D\( 2.7\times 10^{4} \)
5. E\( 1.2\times 10^{4} \)
5\( {\rm Calculate} \ I, \ {\rm where} \ \epsilon = 17.6, {\rm \ is \ a \ constant \ and } \ I= \int^{0.47}_{-0.22}\frac{2\epsilon}{f^4}df . \)
1. A\(-1.2 \times 10^{3} \)
2. B\(-9.9 \times 10^{2} \)
3. C\(3.9 \times 10^{2} \)
4. D\(0 \)
5. E\(-1.4 \times 10^{2} \)