Salvation

Calculus 1 Take Home Due 29/11/10 1. Differentiate. Simplify if necessary. a) f(t) =[pic] b) y = ln [pic] c) y = [pic] 2. a) use the definition of derivative to calculate f[pic](x), given f(x) = 4-[pic] (no credit for any(prenominal) other method) b) rise an equation of the tangent line to the writhe at x = 1 3. Evaluate following limits. If a limit does not exist, justify why. a) [pic] b) [pic] 4. Sketch the graph of f(x) = [pic] charge intercepts, asymptotes, local max and bit points, and points of inflection. Indicate intervals where the graph is dished up and concave down. For your beginning f[pic] (x) = [pic] 5. The volume of a global balloon increases at a rate of 2 cuboidal cm/sec. How fast is its universal gas constant increase at a time when the radius is 10 cm? (V=[pic]r3) 6. Integrate. Simplify if necessary. a) [pic][pic] dx b) [pic][pic]dx c) [pic][pic] 7. A rectangular tend of battlefield 50 square feet is to be surrounded on triad sides by a fence costing $2 per rail behind and on one side by a brick hem in costing $6 per running foot. What should be the gardens dimensions to minimize the cost of fencing? 8.

An object is impel now upward with the initial velocity of 16 ft per consequence from the height of 32 ft. Acceleration (due to gravity) is -32 ft/sec a) lend one self integration to find functions v(t) and ! h(t), velocity and height after t seconds. b) What is the maximum height reached by this object? c) How long does it piddle away the object to hit the ground? 9. a) notice [pic] using inherent differentiation, given x siny + y sinx =(x+y)[pic] b) Use linearization or differentials to pass judgment [pic] 10. Find the absolute maximum and minimum of the...If you want to go bad a full essay, order it on our website: BestEssayCheap.com

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