Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y =3/x upper sum : lower...

Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y =3/x upper sum : lower...

Estimate the area under the graph of f(x) = 1/(x+4) over the interval over the interval [0,5] using eight approximating rectangles and right endpoints. Rn= ? Repeat the approximation...

(a) was government consumption increasing or decreasing during this period? (b) determine whether the graph of the government consumption function is concave up or concave down and explain what...

I need help with my college calculus/business calc homework. Here are the questions. 1. Draw the graph of the following function f defined on the real line...

A long level highway bridge passes over a railroad track that is 100 feet below it and at right angles to it. If an automobile traveling 45mph (66ft/s) is directly above a train engine going 60mph...

A street lamp 20' high creates a shadow of an owl. The owl is descending to a mouse vertically below. When the stationary mouse is 10' from the foot of the lamp, the owl is 15' vertically above and...

Approximate the area under the curve y=x3 from x=3 to x=6 using a Right Endpoint approximation with 6 subdivisions.

The amount of trash, in tons per year, produced by a town has been growing linearly, and is projected to continue growing according to the formula P(t)=59+4t. Estimate the total trash that will...

F(x)=(2x^2)+(3x)+4, L=3, c=-1, epsilon=0.005 Find delta>0 such that for all "x" 0<|x-c|<delta and |f(x)-L| < epsilon

A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50...

h(x) = e^(ax) for x≤ 0 = √(x+b) for x>0 for which values of a and b will h(x) be differentiable at x= 0 ? if it is differentiable,...

A shopkeeper calculates that for each reduction of $1 in the price of a $50 pair of jeans, another customer will buy a pair. Show that if 10 customers will buy the jeans at full price, sales receipts...

The number x of printer cartridges that a store will sell per week and their price p (in dollars) are related by the equation x^2 = 1680 − 5p^2 If the price is falling at the rate of $1...

Use graphs and tables to find the limit and identify any vertical asymptotes of the function. limit of 1 divided by the quantity x minus 8 as x approaches 8 from the left

The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative

A population P obeys the logistic model. It satisfies the equation dP/dt= 0.17P(1-P/8600) for P>0. a) the population is increasing when ? <P< ? b) the...

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and...

A curve C is given by the equation: x2 + y2 = (2x2 + 2y2 − x)2 (a) Find all points (0, y) on the curve C, where y≠0. (b) At each of the points found...

Find the fifth roots of 243(cos 300° + i sin 300°).

Consider the following function: h(x)=x^3-8x^2-2x locate any relative extreme points. Relative maximum and relative minimum