A company estimates that its sales will grow continuously at a rate given by the function s'() = 1405 where S' (1) is the rate at which sales are increasing, in dollars per day, on day t. (A) Find the total accumulated sales for the first 5 days (B) Find the total accumulated sales from the 2nd day through the 7th day (Round to three decimal places as needed)

Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

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Q: Suppose that the demand for x units of a product is x = 9,000 – 90p where p dollars is the price per…

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Q: d. y= x² + y x + cos y

A:

Q: The graph of f(x) = /x is shifted 4 units to the left. Then the graph is shifted 6 units upward. A)…

A: The graph of has its domain in the interval . It is shifted to the left by 4 units and then upward…

Q: 2. A photographer uses a light meter to measure the intensity of light from a flash bulb. The…

A: According to giver that. The intensity for the flash bulb, 2. measured in function of the distance…

Q: Which of the following functions grows fastest? A x^x B x^1,000,000,000,000 c) x!…

A: Find value at x=1,2,3 .... And then compare

Q: A bacterial culture began with 7500 bacteria it's growth can be modeled using an expotential…

A: N = 7500·2t36 Now, when t = 72 N = 7500·27236 N = 7500·22 N = 7500×4 = 30000

Q: Find the increasing and decreasing intervals of the function f'(x)= -3/(x-1)2. Then find the local…

A: f'x=-3x-12

Q: The expected demand is subjected to increase from 9,287 MW is 2005 to 19,064 MW in 2014. Following…

A: The exponential growth model is, P = P0eat, where P0 is the initial amount, a is the growth rate, t…

Q: estimate the instantaneous rate of change at the point indicated

A: To find the instantaneous rate of change we will find y'(x) We use the power rule

Q: What is the period of time ''t'' required for the initial infection rate ''I(t=0)'' to double in…

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Q: For each of the following sequences, if the divergence test applies, either state that lim an does…

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Q: A 600 gallon tank is initially half full with pure water. A mixture containing a concentration of 1…

A: Let, the volume function be vt

Q: (a) A kitchen sink has a volume of 15 L. If the drain is closed and the sink is initially empty,…

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Q: For each item in the left column, choose the most appropriate number from the right column

A: Slope of tangent at A  =  (2000 - 1000) ÷ (1920 - 1800)  =  1000 ÷ 120 =  8.33  ( very close to 9 )…

Q: The Population of a small town,p, is modelled by the function p(t)=10 050 + 255t-20t^2, where t is…

A: Solution :- p(t)=10050 + 255t-20t2 (a) The average rate of change of a function ft on an interval a,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.