Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days. The current population of the colony is known to be 588 mosquitos; that is, P(0) = 588. If P'(0) = 127 mosquitos per day, estimate the size of the population in 17 days. 2747 Preview Mosquitos (round to nearest whole number)

Q: What rules do you know for calculating derivatives? Give some examples.

A: Given:What rules do you know for calculating derivatives? Give some examples.

Q: What is the derivative of y if y = x2 + 5x + 15 evaluated at x = 2? Round you answer to three…

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Q: Estimate the instantaneous rate of change of y(x) 4 at the %3D x+ 1 point x = - 2

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Q: Find the derivative of the function. y = xe-x8 %3D y' = %3D

A: Given: y=xe-x8

Q: I am given an equation, 2x^2-6xp+50p^2=21400 (p=dollars and x=items). The price is increasing at a…

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Q: Hi! Can you explain how to determine when an object is slowing down using higher-order derivatives?…

A: The objective of this question is to understand how to determine when an object is slowing down…

Q: I need more help with finding the slope of the line tangent using the instantaneous rate of change…

A: Slope of the tangent = limit h->0 (f(x+h)-f(x))/h

Q: The concave down, decreasing nature of the second half of the derivative curves looks correct to me,…

A: we need to explain that why the concave down, decreasing nature of the second half of the derivative…

Q: If we had a graph of a half circle that is concave down in the first and second quadrant, what would…

A: If we have a graph of a half circle that is concave down in the first and second quadrants,we have…

Q: Please provide me with the solution and work to the question. Please try to dumb it down so I can…

A: (a) The f(x) is maximum at x = -4 and minimum at x = 2.So x = -4 and 2 are the critical…

Q: Find the derivative of the function. y = xe¬x/ y' = %3D

A: ddxxe-x7

Q: value

A: We have to find the equation of lie from the given information

Q: Use the power rule to obtain the derivative of the first term. 10(x-1/3) = 10( dx Submit Skip (you…

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Q: Please see the attached image and answer the

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Q: I’m not sure how to consistently understand and do derivatives. Every time I start understanding…

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Q: The monthly cost for a company that sells designer shoes is given by where C' is the cost, in USD,…

A: Given, .Where C is the cost in USD and x is the pair of shoes sold each month.

Q: How did you get from step 2 to the solution? I dont understand your example. Am I taking the…

A: The answer is in step 2.

Q: i have two answers but am not sure which one is the correct answer and i need help to solve it i add…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: