Evaluate the following limits or indicate that they diverge. (a) lim 2² 1+∞ (b) lim ∞04-1

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: Identify the degree of the following polynomial. 8x^(2)+\sqrt(4x^(6)), where x>=0

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Q: Find the latus rectum of this 17x^(2)+7y^(2)=119.

A: Explanation of the answer is as follows

Q: Use the quadratic formula to solve for x from the equation -(1/4)x^2 + x + 10^-14 = 0

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Q: an equation for each horizontal translation of f(x)=x^2+3 8) 3.7 units ri

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Q: your work and your entire proce ivide: (10x^(4)-x^(3)+4x^(2)-2)/(2x-1)

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Q: ∫dv/v^2

A: Given, ∫dvv2

Q: Rearrange the f(x) =  2x^4-x^3-9x^2+4x+1 so that x is on the left-hand side of the equation.

A: The function: f(x) can be rearranged using basic algebraic operations.

Q: Transform into standard the funct y=(x-1)^(2)+9

A: Given,  y=(x-1)^(2)+9

Q: State the domain and range for the function f(x)=2x^2 - 7.

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Q: sec x)^2 - 1

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Q: state the domain in interval notation for y= 3x^4 - (√2)x^2-22/3

A: Given the polynomial function .

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3)…

Q: What is the standard form of y = (3/200)x^2 ?

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Q: Describe the end behavior of f(x) = 2/7x^5+6x^3-8.

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Q: y = 2x/sqr(x^2 + 1) - find the deriviative using chain rule and explain each step clearly and show…

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Q: find the derivate of y=x^3(5^-x)

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Q: Given f(x) = 3x^2+4 and g(x)=-3x, calculate f(g(x)). Show all work

A: Given Function, f(x)=3x2+4g(x)=-3x We have to find, f{g(x)}=?

Q: The demans equation for a certain product is 5p^2 + q^2 = 1300, where p is the price per unit in…

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