he size of an unborm fetus of a certain species depends on its age. Data for Head circumference (H) as a function of age (t) in weeks were fitted using the formula = - 29.21 + 1.837? - 0.57511 log t. dH ) Calculate the rate of fetal growth dt -) Is dH - larger early in development (say at t= 8 weeks) or late (say at t= 36 weeks)? 1 dH ) Repeat part (b) but for fractional rate of growth H dt dH Ise integers or decimals for any numbers in the expression. Round to four decimal places as needed.)

Q: An environmentalist finds that a certain type of tree grows in such a way that its height h(t) after…

A: Given An environmentalist find that a certain types of tree grows in such a way that its height h(t)…

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A: a) At t=0, distance=0 miles At t=1, distance= 12 miles So the average speed in the time interval…

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A:

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A: Let f(x) = ln x) and g(x) = e-x Let f(x) and g(x) be positive for x sufficiently large,  a) f(x)…

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A:

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A: Given query is to find the rate of change of carbon monoxide after 2 years.

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A:

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A: Given that , The radioactive material is known to decay at a rate proportional to the amount…

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A:

Q: Differentiate g (†) = 4 log, ( t ) – In ( t )

A: Given g(t)= 4log3(t)-ln(t) Now we have to differentiate g(t) as shown below

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A:

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A:

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A: The solution are next step

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A: To explain the given problem

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A: Number of lung cancer cases occurring within the group are modeled using the function - N(t) =…

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A: Let us assume that the rate of change of the amount of material is proportional to the amount of…

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A: The exponential distribution is always related to the amount of time till a specific event occurs.…

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A:

Q: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

A:

Q: y = (1 – x³)(log2x)(cot²x)

A:

Q: S (log æ + – 5x) dx =?

A:

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A: The rate at which the height of the tree changes is given by,h'(t)=3t2+t    ft/yr…

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A: What happens to the rate of change of the logarithmic function y = loga x as a becomes larger?…

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A:

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A: use derivative for finding the instantaneous rate

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Q: What is the average rate of change of log(x) on the interval [1, 10]? 1 1 10 1/9

A: Note down few values of log(x). log(10)=1 log(1)=0

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A: Slope is defined is as differentation of function at given value of x.

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A:

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A: N=5001-3t2+22

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A:

Q: ) An environmental study estimates that t years from now, the level of carbon monoxide in the air of…

A: Given that :-the level of carbon monoxide:Q(t)=0.01t3+0.1t+2.2 ppm.Q(5)=0.01(5)3+0.1(5)+2.2…

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A: Given that: log99

Q: = log z in the regio

A:

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A:

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A: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

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A: Here,  Given P(t)=1.6t2-15t+46we have to find P'(t)differentiate P(t) with respect to t, we…

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Q: What is the instantaneous rate of change of A with respect to s when s is 4.00?

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Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Let f(x)=5ln x       and g(x)=ln x,

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A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.