Just need answers for these 5 questions. No work shown needed.

3.

Use implicit differentiation to find the following. (Round answers to four decimal places as needed. If only thex-coordinate is given, you must also find they-coordinate.) HINT [See Examples 2, 3.]4x²+ 2y²=12, (1,2)

(a) the general slope of the tangent line

(b) the equation of the tangent line at the indicated point on the graph

y=

4.

The demand equation for soccer tournament T-shirts isxy5,000=y

whereyis the number of T-shirts the Enormous State University soccer team can sell at a price of $xper shirt.Finddy/dx [x=3].

dy/dx

[x=3] = _______T-shirts per dollar

Interpret the result.

When the price is set at$3, the demand isrising/droppingby_____ T-shirts per $1 increase in price.

5.

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]x²yy²=2;dy/dx

dy/dx=

6.

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]xy⁶y=x;dy/dx

dy/dx =

7.

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]p²pq=2p²q²;dp

dq

dp/dq=