Graph 3 members of the family of curves that have f(x) = -x+1 as a common derivative. Help!?

Graph 3 members of the family of curves that have f(x) = -x+1 as a common derivative. Help!?

A biatholon is organized for swimmers and speed walkers. The first leg will require swimming from a launch 4 km from the shore of the lake. The second leg involves a walk to the finish line which...

Two people walk away from the same location at the same time. The first person travels east at a rate of 2.5 m/s. The second person travels south at a rate of 1.5 m/s. At what rate is the distance...

A 7m ladder is leaning against the wall. When the top of the ladder is slipping down at a rate of 2m/s, how fast is the bottom moving when it is 4m away from the wall? HELP!?

(1/(a+h) - 1/a)/h

The centroid of a region R in the xy-plane is the point {SuperStar[x], SuperStar[y]} where SuperStar[x] is the average value of f[x,y] = x on R and SuperStar[y] is the average value of g[x,y]...

You decide to warm your house by lighting your wood fire place. The smoke is coming out the chimney in the shape of an inverted right circular cone, the diameter of which is equal to its height. If...

A fish is being reeled in at a rate of 30cm/s from a bridge 4m above water. At what rate is the angle (in rad/s) between the line and the water changing when there is 8m of line out?

A fish is being reeled in at a rate of 30cm/s from a bridge 4m above water. At what rate is the angle (in rad/s) between the line and the water changing when there is 8m of line out?

A construction worker pulls a 5m plank up the side of a building under construction by means of a rope tied to the end of the plank. The opposite end of the plank is being dragged along the ground...

A pebble is dropped into a still pond, causing ripples in the form of concentric circles. The radius r of the outer circle is increasing at a rate of 25cm/s. When the radius is 100cm, at what rate...

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer...

Find the Taylor or Maclaurin polynomial Pn(x) for the function f with the given values of c and n. Then give a bound on the error that is incurred if Pn(x) is used to approximate f(x) on...

a box is to be constructed from a square piece of material of side x by cutting out a 2-inch square from each corner and turning up the sides. express the volume of the box as a polynomial in the...

A solid is formed by attaching a hemisphere to each end of a cylinder. If the total volume is to be 120cm3, find the radius (in cm) of the cylinder that produces the minimum surface area. Express...

If the price of each ticket to a concert is $16, a total of 4000 tickets will be sold. For each $1 increase in price, ticket sales will decrease by 100. What should the ticket price be set at in order...

While you were out cross country skiing, you make a perfectly shaped spherical snowball. Unfortunately the temperature increases and the volume of your snowball decreases at a rate of -1cm/min. At...

The height h of a right triangle is increasing at a rate of 1 unit/s. Find the rate at which theta (in rad/s) is changing when h =8. HelP!?

The height h of a right triangle is increasing at a rate of 1 unit/s. Find the rate at which theta (in rad/s) is changing when h =8. Help!?

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