Suppose that an initial population of 10,000 bacteria grows exponentially at a rate of 2% per hour and that y=y(t) is the number of bacteria present t hours later. a) Find an initial-value...

Suppose that an initial population of 10,000 bacteria grows exponentially at a rate of 2% per hour and that y=y(t) is the number of bacteria present t hours later. a) Find an initial-value...

solve the initial value theorem. dy/dt=1/t, y(-1)=9

Find the equation of the tangent line to the graph of y=f(x) at x f(x)=ln(-x) x=-e^3

y=log(sin^5(x))

integrate from pi/6 to pi/2 (x+16/(sinx^2))dx

An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled in, the circular containment area shrinks. If the radius of the area decreases at a constant rate...

∫(secθ⁄cosθ) dθ

A closed rectangular container with a square base is to have a volume of 3456 in3. The material for the top and bottom of the container will cost per $4 in2, and the material for the sides...

A rectangular page is to contain 30 square inches of printable area. The margins at the top and bottom of the page are each 1 inch, one side margin is 1 inch, and the other side margin is...

how does 3-1/9=3 8/9? please and thank you.

how does 3-1/9=3 8/9? please and thank you.

A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 4ft/s. How rapidly is the area enclosed by the ripple increasing at the end of 12s?

At what point is the tangent line to the curve y^3=2x^2 perpendicular to the line x-2y-10=0 ? (x,y) format

Find d^2y/dx^2 x^6y^2-4=0

X2-4Y2+7=0 3X2+Y2=31 X+Y+1=0 X2+Y2+6Y-X=-5

Carletta has $10,000 to invest. as her financial consultant you recommend that she invest in treasury bills that yield 6%, treasury bonds that yield 7%, and corporate bonds that yield 8%. Carletta...

Solve each equation on the interval 0≤θ<2pi tan θ=2 sin θ

cos θ=-sin(-θ) solve each equation on the interval 0≤θ<2Π

in order to get half of 2/3 do I divide by 2 or 1/2? in general when I want to find the half of something do I divide by 2 or 1/2? Why? (I am getting confused)

I am lost