An environmentalist finds that a certain type of tree grows in such a way that its height h(t) after t years is changing at the rate of h'(t) = 3t² +t ft/yr from planting up to a certain period of time. If the tree was 2 feet when it was planted, how tall will it be after a year?

Q: Use a table of integrals to find the indefinite integral.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Evaluate, with an exact value, the definite integral º -1/1+a dx.

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Q: -du и

A: Given: ∫1udu

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Q: 24 [ 0 At³e(-0.4t) dt

A: Since you have asked multiple question, we can solve first question for you. If you want other…

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Q: Help finding the integral ∫3(2?+5)^3 dt

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Q: st ما cz-x)dx

A: we have given integration ∫ 162-x2dx

Q: 4 Given f(x) dx =-5 and f(x) dx = 3, use the properties of definite integrals to find f(x) dx.

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Q: 2.2 (e-x* + 1) dx 0.5

A: Topic-integration

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Q: Find a function f(x), such that f"(x) = 3sin(4x). %3D

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Q: 1+ 2x

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Q: Sã 7 (x-1)√√x²-2x-48 dx

A: The given integral is .The aim is to find the value of the integral.

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.