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) role the definition of derivative to calculate f[pic](x), given f(x) = 4-[pic] (no credit for either other method) b) rise an equation of the tangent line to the arc 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 patelliform up and concave down. For your beginning f[pic] (x) = [pic] 5. The volume of a ball-shaped balloon increases at a rate of 2 cubiform 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 prat and on one side by a brick ring costing $6 per running foot. What should be the gardens dimensions to minimize the cost of fencing? 8.

An object is impel flat upward with the initial velocity of 16 ft per help from the height of 32 ft. Acceleration (due to gravity) is -32 ft/sec a) custom integration t o 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 wanton the object to hit the ground? 9. a) notice [pic] using unverbalised differentiation, given x siny + y sinx =(x+y)[pic] b) Use linearization or differentials to uncut [pic] 10. Find the absolute maximum and minimum of the...If you want to strike a full essay, order it on our website: BestEssayCheap.com

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