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Maths

QuestionAnswer
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
Created by: RubySwann