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) mapping the definition of derivative to calculate f[pic](x), given f(x) = 4-[pic] (no credit for some(prenominal) other method) b) rise an equation of the tangent line to the edit out 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] demonstrate intercepts, asymptotes, local max and bit points, and points of inflection. Indicate intervals where the graph is concavo-concave up and concave down. For your beginning f[pic] (x) = [pic] 5. The volume of a world-wide balloon increases at a rate of 2 cuboidal cm/sec. How fast is its universal gas constant change 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 nibble and on one side by a brick palisade costing $6 per running foot. What should be the gardens dimensions to minimize the cost of fencing? 8. An object is impel outright upward with the initial velocity of 16 ft per indorse from the height of 32 ft. Acceleration (due to gravity) is -32 ft/sec a) intake 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 have the object to hit the ground? 9. a) notice [pic] us! ing unexpressed differentiation, given x siny + y sinx =(x+y)[pic] b) Use linearization or differentials to evaluate [pic] 10. Find the absolute maximum and minimum of the...If you want to stool a full essay, order it on our website: BestEssayCheap.com

If you want to get a full essay, visit our page: cheap essay