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TZand has Authored 24 Questions  | A.  B.  C.  D.  Replace 6 with 2 · 3, so 6 20 = (2 · 3) 202 20 · 3 20Now just collect the powers of 2 and 3 and subtract the exponents:  |
| A. -3/14 B. 3/14 C. -4/12 D. -12/4 We differentiate term-by-term to get  . Substituting x=1, y=1 we get 4 + 2 y' + y' + 9 y'=0, so y'=-4/12 |
| A.  B.  C.  D.  The relationship between radius and volume for a sphere of radius r is  , so we differentiate implicitly with respect to t to get the relationship for the rates  . The balloon is half full (one half of a cubic foot) when  , which we solve to get  , and we have that  so we have  which we solve to get  |
| A.  B.  C.  D.  The acceleration is given by  so when t=1the acceleration is |
| A. y'(x) = (2) (4/5) (1+2x)-1/5
=(8/5)(1+2x)-1/5 B. y''(x) = (2)(-1/5)(8/5)(1+2x)-6/5
= (-16/25)(1+2x)-6/5 C. y'''(x) = (2)(-9/25)(-7/5)(1+2x)-11/5
= (197/125)(1+3x)-11/5 D. y'''(x) = (2)(-16/25)(-6/5)(1+2x)-11/5
= (192/125)(1+2x)-11/5 y'''(x) = (2)(-9/25)(-7/5)(1+2x)-11/5
= (197/125)(1+3x)-11/5
is not a derivative of
y = (1+2x)4/5 |
| A.  B.  C.  D.  Using the quotient rule we find that,  Hence,  |
| A.  B.  C.  D.  First multiply so that,  Hence, |
| A.  B.  C.  D.  Using the chain rule we find,  |
| A.  B.  C.  D.  Using the product rule we find,  . |
| A. 8 B. 0 C.  D.  Using the chain rule,  . or  Hence   So the answer is |
| A. -12 B. -24 C. 0 D. Undefined. Using the chain rule,  . Since both  and  are undefined at y = 0, the answer is undefined. |
| A. 2/5 B. 5/2 C. 5/4 D. 4/5 By the chain rule,  and  |
| A.  B.  C.  D.  First simplify: this gives  Now it is easy to use the quotient rule:  by the quotient rule. This can be simplfied to |
| A.  B.  C.  D.  by the quotient rule. |
| A.  B.  C.  D.  by the chain rule. |
| A.  B.  C.  D.  by the product rule and the chain rule. |
| A. Glue. B. Tar. C. Fruit. D. Syrup. The Sugar Maple is one of the most important Canadian trees and the major source of sap for making maple syrup. |
| A. Alerce. B. Giant Sequoia. C. Norway Spruce. D. Huon-pine. A Norway spruce clone named Old Tjikko, carbon dated as 9,550 years old, is the oldest living tree. |
| A. Malus domestica. B. Applus tastica. C. Rosaceae. D. Fructus arborus. The apple is the pomaceous fruit of the apple tree, species Malus domestica in the rose family Rosaceae. It is one of the most widely cultivated tree fruits. |
| A. Australian eucalyptus B. Coast redwood C. California pine. D. Douglas fir. The tallest living tree today is the Mendocino Tree, a coast redwood (Sequoia sempervirens) found at Montgomery State Reserve near Ukiah, California, USA. In September 1998, it was 112 m (367.5 ft) tall, with a diameter of 3.14 m (10 ft). |
| A. Arbutus. B. Maple. C. Douglas Fir. D. Irish Pine. Arbutus is a genus of at least 14 species of flowering plants in the family Ericaceae, native to warm temperate regions of the Mediterranean, western Europe, and North America. |
| A. Pine. B. Maple. C. Oak. D. Arbutus. Oak trees are native to the northern hemisphere, and includes deciduous and evergreen species extending from cold latitudes to tropical Asia and the Americas.
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| A. Pine. B. Oak. C. Maple. D. Redwood. Pines are coniferous trees in the genus Pinus, in the family Pinaceae. They make up the monotypic subfamily Pinoideae. There are about 115 species of pine. |
| A. Oak B. Pine C. Maple D. Cypress This is a picture of Acer platanoides (Norway Maple). It is a species of maple native to eastern and central Europe and southwest Asia, from France east to Russia, north to southern Scandinavia and southeast to northern Iran. |
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