Maths
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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Integrate dy/dx= (x + 4)(x - 2) | y = 1/3x^3 + x^2 - 8x
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12x2 - x - 6 | (3x + 2)(4x - 3)
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2^x = 24 | log2^x = log24 xlog2 = log24
x = log24/log2 x = 4.585
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The number of bacteria in a food medium being studied in a lab t minutes after observation is given by: N= 12 * 10^3+0.02t What is the initial number of bacteria present? | N= 12000
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The number of bacteria in a food medium being studied in a lab t minutes after observation is given by: N= 12 * 10^3+0.02t After how many minutes will the food medium contain 25000 bacteria?? | t= 15.94 minutes
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Differentiate 3x^2 + 2x - 6 | dy/dx= 6x + 2
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Find the equation of the curve that passes through (2,6) and has a gradient function dy/dx= 3x^2 - x + 2 | y= x^3 - 1/2x^2 + 2x - 4
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The distance, s, in meters, traveled by a particle is given by the formula s= 80t - 12t^2. Find the expression for velocity, and hence find the initial velocity. | v= 80 - 24t
initial velocity= 80m/s
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A rock is thrown vertically with an initial velocity of 40m/s from a point 5m above ground. The velocity of the rock after t seconds is given as: v= (40 - 10t) m/s Find s (t) | s (t)= 40t - 5t + c
s (t)= 40t - 5t + 5
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A rock is thrown vertically with an initial velocity of 40m/s from a point 5m above ground. The velocity of the rock after t seconds is given as: v= (40 - 10t) m/s Find the maximum height | When s'(t)=0, t= 4seconds
s(t)= 85m
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Simplify (2x^4)^3 * 3x^2 | 8x^12 * 3x^2 = 24x^14
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Factorize x^2 - 6x + 16 | (8 - x)(x + 2)
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Factorize 2x^2 - 2x - 12 | 2(x - 3)(x + 2)
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Simplify 2x+6/x+3 | 2
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Solve 12x - 11 = 15x + 10 | x = -7
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Solve x^2 + 6x + 2 | x= -5.631, -0.369
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Find dy/dx when y= x^2 + 4x - 7 at the point (2,5) | dy/dx= 2x + 4 - 4 OR dy/dx= 2x
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Created by:
RubySwann
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