Let y = f(x) be a particular solution of the differential equation dy/dx = 1 / xy with f(1) = 2. (a) Find d2y dx2 at the point (1, 2).
(b) Write an equation for the line tangent to the graph of f at (1, 2) and use it to approximate f(1.1). Is the approximation for f(1.1) greater than or less than f(1.1)? Explain your reasoning.
(c) Find the solution of the given differential equation that satisfies the initial condition f(1) = 2.

853.3

step-by-step explanation:

what i would say the best answer is a. 40.5

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: