What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 3 − x2?

(C) 4

Step-by-step explanation:

Let us first construct a rectangle ABCD, in which A is the point at lower right hand corner and B,C,D are the points marked according to A,

Now, let A=

B=,

C=

and D=

Then the area of rectangle is given as: BA×AD

=

A=

Taking the derivative with respect to p, we have

=

Now, =0

⇒=0

⇒

⇒

Since, wehav eto find the greater area, therefore we will take p=1.

Now, substituting the value of p in (A), we have

Greater area= A==

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

2 over 5 and 4 over 15

don’t know last one sorry

step-by-step explanation: