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) modus operandi the definition of derivative to calculate f[pic](x), given f(x) = 4-[pic] (no credit for whatsoever other method) b) rise an equation of the tangent line to the roll 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] argue intercepts, asymptotes, local max and bit points, and points of inflection. Indicate intervals where the graph is planoconcave up and concave down. For your beginning f[pic] (x) = [pic] 5. The volume of a spherical balloon increases at a rate of 2 cuboid cm/sec. How fast is its universal gas constant c hange magnitude 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 protect costing $6 per running foot. What should be the gardens dimensions to minimize the cost of fencing? 8.

An object is impel at one time upward with the initial velocity of 16 ft per stake from the height of 32 ft. Acceleration (due to gravity) is -32 ft/sec a) use integrat ion to find functions v(t) and h(t), velocit! y and height after t seconds. b) What is the maximum height reached by this object? c) How long does it piss the object to hit the ground? 9. a) notice [pic] using unspoken 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 engage a full essay, order it on our website: BestEssayCheap.com

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