Q2. The number N of bacteria in a culture at time t is given by N = 2000 (30+ te -70). 1 Determine the largest number of bacteria in the culture during the interval [0,50], where t is measured in hours, and state the time at which this occurs.

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A: Function f differentiable at x=a

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A: Using to chain rule :

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Q: Find | of ax 11 of and ay for the function f(x,y). f(x,y) = g(t)dt (g continuous for all t) X

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Q: If f(x) = 5x² − 5x + 31, evaluate lim_f(9 + h) − f(9) h→0 h If an answer does not exist, enter DNE.

A: given

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A: Given:We are required to find:

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A: Fundamental theorem of calculus

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A: 1+cos(theta)=1/2, 0<=theta=<2piFind the value of theta lies in the given interval.

Q: u = -9i+4j Find: -5u

A: u=-9i+4jFind -5u.

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A: Given

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Q: We have determined that A = 36 and B = -6. Therefore, we have the following. A 6x + 1 30 (6x + 1)(x…

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Q: Use the graph of g in the figure to find the following values or state that they do not exist. a.…

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Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

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Q: Examine the graph of y = f(x) in the vicinity of x = c, and then select which statements are true.

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Q: 10. The position of an object moving in a straight line is given by: S(t) = -2t³ + 5t² - 10t +20 (S…

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Q: 3. Differentiate and simplify in fully factored form. a) f(x) = (1+x²2) 3 b) y = (3x² + 4)²(3 + x³)5

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A: We can find the critical point of the function .

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