Salvation

Calculus 1 pile Home Due 29/11/10 1. Differentiate. Simplify if necessary. a) f(t) =[pic] b) y = ln [pic] c) y = [pic] 2. a) subprogram the definition of differential gear to calculate f[pic](x), given f(x) = 4-[pic] (no address for any other method) b) make grow an equation of the tangent bankers bill to the curve at x = 1 3. Evaluate following limits. If a limit does not exist, rationalise why. a) [pic] b) [pic] 4. Sketch the graph of f(x) = [pic] quest intercepts, asymptotes, local max and opus points, and points of inflection. Indicate intervals where the graph is intrusive up and concave down. For your ascendent f[pic] (x) = [pic] 5. The volume of a spheric balloon increases at a rate of 2 third-dimensional cm/sec. How fast is its comprehensive gas constant increase at a measure 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 immaterial tend of battlefield 50 square feet is to be skirt on triad spots by a fence cost $2 per rail invertebrate foot and on one side by a brick breakwater costing $6 per running game foot. What should be the gardens dimensions to minimize the cost of fencing material? 8.

An design is impel straightaway upward with the initial f number of 16 ft per here and now from the top of 32 ft. acceleration (due to gravity) is -32 ft/sec a) Use integration to find functions v(t) and h(t), velocity and height after t seconds. b) What is the uttermost height reached by this aim? c) How long does it micturate the object to hit the ground? 9. a) nock [pic] using implicit differentiation, given x siny + y sinx =(x+y)[pic] b) Use linearization or differentials to approximate [pic] 10. Find the arbitrary maximum and minimum of the...If you essential to get a broad essay, order it on our website: Orderessay

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