5. Let f:[0,1]→ R be defined by m if x = ", is in lowest terms f(x) = {n lo if x e Q° or x = 0 a) Show that fis Riemann integral on [0,1] b) Find f(x) dx

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

A: The exponential growth of any polpilation is given by the equation -y(t)=y0ektwhere y0 is the…

Q: Simplifyx.x/

A: simplify

Q: Solve the DF simul DE OF simul toneasy! erly. √2 + 5x (e)-2y(t) d₂ de dy dy = t. + 2x(₁) ry(E)=0.

A: The given system of differential equation is         dx/dt + 5x(t) - 2y(t) = t         dy/dt + 2x(t)…

Q: 1 is subtracted from the cube of a number

A: 1 is subtracted from the cube of a number.Let the number be xSo, we have1 is subtracted from the…

Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of…

A: Population model

Q: out

A:

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

A:

Q: lim

A:

Q: A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of…

A:

Q: A bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.