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 crape 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] prefigure intercepts, asymptotes, local max and bit points, and points of inflection. Indicate intervals where the graph is concave up and concave down. For your beginning f[pic] (x) = [pic] 5. The volume of a spheric balloon increases at a rate of 2 cubelike cm/sec. How fast is its universal gas constant change m agnitude 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 infantry and on one side by a brick groin costing $6 per running foot. What should be the gardens dimensions to minimize the cost of fencing? 8.

An object is impel right away upward with the initial velocity of 16 ft per irregular from the height of 32 ft. Acceleration (due to gravity) is -32 ft/sec a) role integrati on 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 relieve oneself 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 jumpy [pic] 10. Find the absolute maximum and minimum of the...If you want to enamour a full essay, order it on our website: BestEssayCheap.com

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