A bacterial culture has an initial population of 10,000. If it’s population declines to 4,000 in 4 hours, when will it’s population be 2530? Assume that the population decreases according to the exponential...

A bacterial culture has an initial population of 10,000. If it’s population declines to 4,000 in 4 hours, when will it’s population be 2530? Assume that the population decreases according to the exponential...

a. Find the mass of the bar. BFIns the mass of the left third of the bar. c. Find the mass fo the right half of the bar

A circular swimming pool has a diameter of 10 m. The circular side of the pool is 3 m high, and the depth of the water is 1.5 m? The acceleration due to gravity is 9.8m/s^2 and the density of...

A radioactive substance follows the decay equation dA/ dt= kA. If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two decimal places.)

Calculate the area of the region bounded by the two curves, y = 4 - x2 and y = x + 2. The answer is meant to be 9/2 but I just cannot get it!!! Maybe my bounds are incorrect......

I cant find the concavity of this function but I found the increase/decreae and everything else.

Find the area that is outside r = 2 but inside r = 4 cos θ. Type your answer in the space below and give 3 decimal places. If your answer is less than 1, place a leading "0" before...

Using Euler's Method with a step size of h = 0.3, estimate the value for y(0.9) for the differential equation 3 times dy dx plus 5 times y squared equals the sine of x, with y(0.3) = 5.

So I have the problem "f(x)=(x^3)-(3x^2)-1,x>=2, find the value of (df^-1)/dx at the point x=-1=f(3)" I keep on getting the answer as 9 but the book says 1/9 and I have no idea why. Could...

I need help with this task. cx(x^2/a^2+y^2/b^2)=y^2,x=b^2/c

The solid S has a base described by the circle x^2+y^2=36. Cross sections perpendicular to the x-axis and the base are rectangles whose height from the base is one-ninth its length. What is the...

a) e^x b) square root of 2x c) x d) none of these

the product of 1/6x and dy/dx equals y times the square root of the quantity 3x squared - 1.

a) 87.75 b) 15.75 c) 11.25 d) 6.75

Polar Curve and straight line segment.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1

how do we find the points of discountity of f(x)=8x/5x^2-1? If i made the denominator =0 i would get squared 1/5 and then when i will plug it back it will be undefined or am i doing...

As lim x approaches -3 of x^2-3x/x^2-9 1.how can you solve it in a step by step i am really confused 2. When finding the sided limit we subsitutw in the original function or after...

g(t)= ∫0t((1/1-x)+(1/(1+x)^2))dx

Possible answers include: A. (3, -2) B. (0, 1/4) C. (-2, -1) D. (-5,-6)

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