4cos^2x use power reducing identities

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: lim V2 XH

A: function is well defined , for calculating limit directly put the value of x and we will get the…

Q: lim x→−2 (3x^4+2x^2−x+9)

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Q: Find F if del-F = (2xy, (x^2 + 20y^3))

A: We have to find out

Q: Find the inverse of: f(x)= x^2 - 2x + 5

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Q: Find the inverse of g(x)=b(x-a)^3+c

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Q: f an object’s position, in yards, after t minutes, is given by s(t)= 850-80t-2t^2+3t^3, find the…

A: The expression for the acceleration is:

Q: Are the functions below power functions? If it is a power function, write it in the form y=kx^p and…

A: Given,          The function is in the form of y=kxp.

Q: lim (-In x) : 1|

A: Property of limit: limx→akfx=klimx→afx Calculation: The limit can be obtain by using the above…

Q: Determine which of the following functions are entire. Justify your answer:…

A: The objective of the question is to determine if the given function is entire. An entire function,…

Q: State Odd and Even Functions Under Multiplication ?

A: Let f:D→R be a function, Then f is said to be even function if f-x=fx ∀ x∈D and  f is said to be odd…

Q: exp(x) = ex ?  Is it just a matter of notation, or does exp( ) mean something else?

A: Yes this is true exp(x) = e^x  exp(x) is command in coding language to type e^x

Q: f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the…

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Q: 6/x-1/x/x-1

A: Known fact:

Q: For each function f, give O(f) using any of the properties in the last 4 slides. In each case,…

A: We know, f(x) = O(g(x)) if f(x) < cg(x) for some positive integer c, and x > x0 for some x0.…

Q: integrate (2x+1)/(x^3-x^2+x) with respect to x the same expression written differently for clarity:…

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Q: If y=(X+3)(X-5)^7 then find y`

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Q: Expand (x − 1)^5 using any method of choice

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Q: Thanks, I don't know why ak does not contain z^K

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Q: the rational expression to lowest terms. Identify all numbers that mus (4t-8)/(t^(2)-4)

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Q: Find the coefficient of x^0. (X^2 +1/x)^15

A: In this question we have to find the coefficient of x0

Q: Find A if possible. If not, write “not defined". 1 8. A= 1 6 A- ) 3 1 9. А%3 9. 3

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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.