Vertex = (2, 2)
Range = {f(x): f(x) >= 2}
To simplify i^82, divide 82 by. the answer is 20 with remainder 2
42 drank iced tea
60 drank either water or lemonade
So the ratio would be 42:60 or 7/10 as a fraction.
So D is the correct answer
The tangent to
at the point (0, 5) has a slope equal to the derivative evaluated at
.
![y=x^4+5e^x\implies y'=4x^3+5e^x\implies y'(0)=5](https://tex.z-dn.net/?f=y%3Dx%5E4%2B5e%5Ex%5Cimplies%20y%27%3D4x%5E3%2B5e%5Ex%5Cimplies%20y%27%280%29%3D5)
This tangent passes through the point (0, 5), so its equation is
![y-5=5(x-0)\implies y=5x+5](https://tex.z-dn.net/?f=y-5%3D5%28x-0%29%5Cimplies%20y%3D5x%2B5)
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
![y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5](https://tex.z-dn.net/?f=y-5%3D-%5Cdfrac15%28x-0%29%5Cimplies%20y%3D5-%5Cdfrac%20x5)