|suppose that the auxiliary equation of au 5 (x)by(4(x) cy' '(x)dy' '(x)ey'(x)fy(x) multiplicity 2), r = 3, and r = 12 i. select all possible linearly independent solutions of the differential equation = 0 has solutions of r = 8 (with oy=9e3t cos(12t) -e 3t y6 sin(12t) yet sin(12t) y4 cos(12t) = - 3test y9est y= - 10e3

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

7,24

step-by-step explanation: