Problem 1: consider the initial value problem y' + (1/4)y = 3 + 2cos(2t), y(0) = 0. (a) find the solution of this initial value problem and describe its behavior for large t. (b) determine the value of t for which the solution first intersects the line y = 12.
problem 2: find the value of latex: y_0y 0 for which the solution of the initial value problem y' - y = 1+ 3sin(t), y(0) = latex: y_0

yes

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

9x