population of a slowly growing bacteria after t hours is given by p(t)5t^2+20t+90. how fast is the bacteria growing after 4 hours

Q: d. Lim (1-3x)^5/x

A: The answer is - 1/e15

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A: The solution is given below in detailed

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A:

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A:

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A: Given,          limx→∞5x-3-42x-2+9

Q: The total profit (in dollars) from the sale of x calendars is ... P(x) = 22x - 0.06x² - 400 %3D Find…

A: The sale corresponding to x calendars is P(x) = 22x – 0.06x2 – 400.

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A:

Q: 2x2 (b) lim 2x 24 - - x - 4

A:

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Q: 2. Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially,…

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Q: Find the limit L.

A: limx→-2 4x+5

Q: (i) Limx→∞5x−3 − 42x−2 + 9= (ii) Limx→∞(x − 3)2 x 22− 2x − 3=

A: (i) Consider the given limit as limx→∞5x-3-42x-2+9. Evaluate the above limit as follows:…

Q: A culture of bacteria initially contains 153 cells and grows at a rate proportional to its size.…

A:

Q: Solve y''-y'=xex using reduction of order. do not use formula.

A: Given: y''-y'=xex To find: Solution of given differential equation using reduction of order method.

Q: 7x3 – 4x + 2x6 lim с. 5x3 — Зх2 x--00 7x3 - 4x + 2x6 lim d. 5x9 — Зх2 x00 7x3 - 4x + 2x lim 5x3 —…

A:

Q: – 5x I lim 2x(1–5x) 7x² +3

A:

Q: The length of a rectangle is increasing at arate of 5 cm per second and its width is decreasing at…

A: Given :- The length of a rectangle is increasing at a rate of 5 cm per second and its width is…

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Q: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

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Q: 8. lim (2x – V9x² + x + 5 n-+00

A: limx→∞2x-9x2+x+5

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Q: A rectangular window is topped with a semicircle. The height of the rectangular part is 1 more than…

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Q: Limx→∞  (5x^−3 − 4)/2x^−2 + 9

A:

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Q: The mass of a cube in grams is M = x + 0.1x*, where x is the length of one side in centimeters. If…

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Q: A dirty lake was contaminated by a toxic substance. The lake has a volume of 1.2M liters of water…

A: The given information is: Total volume of water contained in the lake = 1.2M=12,00,000 Amount of…

Q: true or false  if a person works at the rate of 2/15 of the job per hour, then at the end of 3…

A: The work done by the person in 1 hour = 215 The work done in 3 hours = 215×3=615 Therefore, 615 of…

Q: he quantity demanded weekly of a certain type of tire is related to its unit price by: p + x^2 =144…

A: The given demand equation is p+x2=144 where the price p is in dollars and x is measured in thousands…

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Q: Lim 5X-1 - 3 J5メ-1 2. メ→2 8-2X

A: use L'Hospital rule to solve given problem...

Q: lim 7x + 3. x-2

A:

Q: An average young person in the United States gains weight at the rate of 16(x - 10)-1/2 pounds per…

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Q: Suppose that a person learns y items in x hours, as given by y= 30x, 0sxs9. Find the rate of…

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Q: Lim 4x + 5 X-0 5x2 + 3x b.

A: Given

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A: Given: 6.limx→122x-577.limx→14x2+13x-3x-7

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Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution

Q: lim→−2 x^2+4x+4

A: we have to evaluatelimx→-2 x2+4x+4

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Q: A culture of bacteria initially contains 1200 strands. If the rate of increase in the population of…

A: Equation that formulates the growth is as follows. Pt=P0ektPt is the population after t minutesP0 is…

Q: (i) Limx→∞ 5x−3 − 4 / 2x−2 + 9 (ii) Limx→∞ (x − 3)2 / x2/2 − 2x − 3

A: We have to solve given problems:

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A: "Since you have asked multiple questions. We will solve the first question for you. If you want any…

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Q: (d). Lim    x +6x3     x →0   4x + 7x²

A:

Q: Find the average rate of change of f(x)= 2xsquared - 9 on the interval [5,b]. Your answer will be an…

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Q: A rectangle is expanding with time. The area of the rectangle is increasing at a rate of 12 cm2/min.…

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