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Maths
Question | Answer |
---|---|
Integrate dy/dx= (x + 4)(x - 2) | y = 1/3x^3 + x^2 - 8x |
12x2 - x - 6 | (3x + 2)(4x - 3) |
2^x = 24 | log2^x = log24 xlog2 = log24 x = log24/log2 x = 4.585 |
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 |
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 |
Differentiate 3x^2 + 2x - 6 | dy/dx= 6x + 2 |
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 |
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 |
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 |
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 |
Simplify (2x^4)^3 * 3x^2 | 8x^12 * 3x^2 = 24x^14 |
Factorize x^2 - 6x + 16 | (8 - x)(x + 2) |
Factorize 2x^2 - 2x - 12 | 2(x - 3)(x + 2) |
Simplify 2x+6/x+3 | 2 |
Solve 12x - 11 = 15x + 10 | x = -7 |
Solve x^2 + 6x + 2 | x= -5.631, -0.369 |
Find dy/dx when y= x^2 + 4x - 7 at the point (2,5) | dy/dx= 2x + 4 - 4 OR dy/dx= 2x |