1. Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx / dy. y 4 + x 2y 2 + yx 4 = y + 7
{image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Find an equation of the tangent line to the curve {image}   at the point ( 1, 1 ).
none of these
{image} 1. 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. The curve with equation   {image}   is called a kampyle of Eudoxus.   Find an equation of the tangent line to this curve at the point (1, 1).
{image}
none of these 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. Find the tangent to the ellipse   {image}   at the point (1
Find the tangent to the ellipse   {image}   at the point (1.5, {image} ).
{image}
none of these 1. 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. The figure shows a lamp located three units to the right of the y - axis and a shadow created by the elliptical region {image} . If the point ( - 6, 0 )is on the edge of the shadow, how far above the x - axis is the lamp located? {image}
h=2.5
h=1.8
h=1
h=4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50