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

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3.Use

implicit differentiation to find the following. (Round answers to four decimal places as needed. If only the x-coordinate is given, you must also find the y-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 isxy − 5,000 = y

where y is the number of T-shirts the Enormous State University soccer team can sell at a price of $x per shirt. Find dy/dx  [x = 3].

dy/dx

x = 3] = _______  T-shirts per dollar 

Interpret the result.

When the price is set at $3, the demand is rising/dropping by _____ T-shirts per $1 increase in price.

5.

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]x2y − y2 = 2; dy/dx

dy/dx = 

6.

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]xy6 − y = xdy/dx

dy/dx

7.

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]p2 − pq = 2p2q2dp

dq

dp/dq = 

 
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