test2_practice_1

test2_practice_1 - Practice for MAT 265 Test 2 1. Find the...

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Practice for MAT 265 Test 2 1. Find the equation of the tangent line to the curve x 2 xy y 2 = 7 at the point − 1,2 . 2. A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 65 ft above the ground, a bicycle moving at a constant rate of 17 ft/sec passes under it. How fast is the distance between the bicycle and balloon increasing 3 seconds later? 3. The diameter of a tree was 10 inches. During the following year, the circumference grew 2 inches. Use differentials to determine how much the tree's diameter and cross-section area grew. 4. Air is being pumped into a spherical balloon so its volume is increasing at a rate of 2500 ft 3 / sec . How fast is its diameter increasing when the radius is 75ft ? Round your answer to 4 decimal places and include units. Recall the volume of a sphere is 4 3 r 3. 5. Use logarithmic differentiation to find the derivative of the following functions a) f x = x sin x b)
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test2_practice_1 - Practice for MAT 265 Test 2 1. Find the...

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