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) subroutine 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 turn 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] repoint 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 worldwide balloon increases at a rate of 2 cubic cm/sec. How fast is its universal gas c onstant 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 derriere and on one side by a brick wall costing $6 per running foot. What should be the gardens dimensions to minimize the cost of fencing? 8.

An object is impel forthwith upward with the initial velocity of 16 ft per certify from the height of 32 ft. Acceleration (due to gravi ty) is -32 ft/sec a) manipulation integrat! ion 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 excrete the object to hit the ground? 9. a) notice [pic] using inherent differentiation, given x siny + y sinx =(x+y)[pic] b) Use linearization or differentials to imagine [pic] 10. Find the absolute maximum and minimum of the...If you want to proceed a full essay, order it on our website: BestEssayCheap.com

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