If 5x2 + y4 = 21 then evaluate the second derivative of y with respect to x when x = 2 and y = 1. round your answer to two decimal places. use the hyphen symbol, -, for negative values.

-77.50

Step-by-step explanation:

We take first derivative

Derivative of x is 1. Derivative of y is dy/dx

Derivative of x^2 is 2x

Derivative of y^4 is 4y^3(dy/dx)

Now isolate dy/dx

Subtract 10x on both sides

Divide both sides by 4y^3

Now we take second derivative. Apply quotient rule

Derivative of -5x is -5 and derivative of 2y^3 is 6y(dy/dx)

Replace dy/dx ,

Now plug in x=2  and y=1

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.