09/22/20

A population grows from 11,000 to 19,000 in three years.

A. Assuming the growth is exponential, find the annual growth rate.B.  Assuming the growth is exponential, find the continuous growth rate.

09/17/20

Find the function

The population density x miles from the center of a city is given by a function is given by Q(x) = Ae^(-kx) Find this function if it is known that the population density at the center of the city... more

Find the average rate of change of ​f(x) = -3x^2 + 6 over each of the following intervals:

Find the average rate of change of ​f(x) = -3x^2 + 6 over each of the following intervals:​(a) From 1 to 3​(b) From −2 to 0​(c) From 3 to 6

08/21/20

Two trains leave a station

A train leaves the station at 3:00pm and travels east at 65mph. Another train leaves the station at 4:00pm and travels in the same direction at 75mph. At what time will the second train overtake... more

08/20/20

Statistics task

Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull one marble, record it’s color, remove it from the box and draw another marble. What is the... more

08/20/20

Let f be the function given by f(x)=2^x^2.

Selected values of f are given in the table below. If the values in the table are used to approximate f′(0.5), what is the difference between the approximation and the actual value of f′(0.5)?x ... more

08/20/20

College Algebra

Mmaximize the function f(x y)=2x+3y in the region determined by the following constraints. 3x+2y<18. 3x+4y>12. X>0. Y>0

simplify. x((x+5)^-1/2) - sqrt(x+5)

Help me with math please

What amount P should be invested at 8% per annum, compounded annually, so that $2000 will be available after 7 years?

Someone Please help me. Please

A super large tank was initially filled with brine solution of 20 liters.  At some point, fresh water starts to flow in at a rate of 8 liters per minute, and the well mixed solution flows out at... more

I need help understanding this math problem

A cubic function has roots of -3, 1/2, 2, and a y-intercept of 6. Determine the function. Find the value of P(2).

08/19/20

Given that csc(θ)=5/2 and π/2 <θ< π, find cot(θ).

08/19/20

Can you please help me with this question?

There are 6 blue and 9 red marbles in a bag. Three marbles are picked at random. What is the probability (%) of picking 2 blue and 1 red marble?

08/19/20

Calculus in physics (2)

If the current position of the object at time t is s(t), then the position at time h later is s(t+h). The average velocity (speed) during that additional time h is (s(t+h)−s(t))h . If we want to... more

08/19/20

Calculus in economics

Problem Set question: The cost, in dollars, of producing x units of a certain item is given byC(x)= 5x−4 sqrt(x-4). Find the production level that minimizes the average cost per unit.  The number... more

08/18/20

Difficult parabola question(s)

Premise: The reflector if a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maximum reception we need to replace the antenna at the focus.... more

05/22/20

derivatives calculus

Find the First derivative of the following functions from the First Principles:(4x+3)1/2

05/21/20

Graph a function

Graph of a function with the given listed belowcontinuous for all real numbers xfirst derivativef" (x)>0 if |x| <2 and f'(x) <0 if |x| >2f" (2)=0lim x approaches infinity f(x)=1f is an... more

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