Find the differential of each function. (a) y = tan (5t)

Alright, lets get started.

The given equation is :

Differentiating with respect of t

Derivative of tan is

But here we have tan (5t), so we have too use chain rule here

  :    Answer

Hope it will help :)

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.