Finding Distance In Exercises 23-28, find the minimum distance from the curve or surface to the given point. (Hint: Start by minimizing the square of the distance.)
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Calculus: An Applied Approach (MindTap Course List)
- Optimal popcorn box A small popcorn box is created from a12" x 12" sheet of paperboard by first cutting out four shadedrectangles, each of length x and width x/2 (see figure). Theremaining paperboard is folded along the solid lines to form abox. What dimensions of the box maximize the volume of the box?arrow_forwardParametric Representation. In Exercises 7-10, find a parametric representation of the solution set of the linear equation. x+y+z=1arrow_forwardProjectile Motion In Exercises 75 and 76, consider the path of an object projected horizontally with a velocity of v feet per second at a height of s feet, where the model for the path is x2=v216ys. In this model (in which air resistance is disregarded), y is the height (in feet) of the projectile and x is the horizontal distance (in feet) the projectile travels. A ball is thrown from the top of a 100-foot tower with a velocity of 28 feet per second. (a) Write an equation for the parabolic path. (b) How far does the ball travel horizontally before it strikes the ground?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning