After t months on the job, a postal worker can sort L(t) = 700-400e-0.5t letters per hour. Determine the average the worker can sort during the first 3 months on the job. Type your answer in the space below rounded to the nearest whole number. The worker will sort an average of letters per hour.

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A: Given problem:- What is the solution of the given ODE*   xy' +y= √x

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A: if z is function of x and y. Also x and y are of function t then derivative of z w.r.t "t"  is…

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A: solving the problem by finding the value of the future value.

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A:

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Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

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A: Here Z is function of x and y so first we have to integrate w.r.t z then x and y.

Q: Problem #1: Using lim 0 6x³ 8x 2 at x = -2, f(x+h)-f(x) h Find the slope of the tangent line y =

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A: To solve the given differential equation.

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Q: Q2): For each of the following functions,determine if f(x) is convex, concave, or none of these.…

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A: topic- quadratic equations and derivatives

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

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Q: Vadas/3-V169 3. Construct a sign analysis for the second derivative function and then use it to…

A: Explanation of the answer is as follows

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Q: Given Cost and Price (demand) functions C(q) = 110q+45000 and p(q) = -2.7q+800, what profit can be…

A: Given cost and price (demand ) function C(q) = 110q+45000 and P(q)= -2.7q+800q, what profit can be…

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A: Integrate the equation.

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Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = <-4, 7>, what is v(n-m)?

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A: Using derivative

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