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The population N(t) of a species of micro-organism in a laboratory setting at any time t is established to vary under the influence of a certain chemical at a rate given by dN/dt=t-2et show that N(t)=t-2et+c.hence if N(0)=400 determine the population when t=5



The function f: R^2 to R , defined by f(x,y)= 1-y^2+x^2, has an extremum at (0,0).

True or false with full explanation



lim [x^2 sin(1/x)/(sinx) =1

x to 0

True or false with full explanation


The function f: R^2 to R , defined by f(x,y)= 1-y^2+x^2, has an extremum at (0,0).

True or false with full explanation


A real- valued function of three variable which is continuous everywhere is differentiable.

True or false with full explanation


question #213175


For the box of problem 1, Find how fast the volume increase as b increase


Prove from first principles that the function f(x,y) = xsin y + y cos L



integral fraction numerator dx over denominator x square root of x to the power of 4 minus 16 end root end fraction


suppose that f(x) is the number of pounds of beans you can buy for x dollars. Let g(y) be the inverse function. what does g(y) represent?


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