1.) Find and equation of the tangent to the curve at the point corresponding to the given value of the parameter x= cos t + sin 2t, y= sin t + cos 2t (t=0)

2.) Find dy/dx and d^2/dx^2 for which values of t is the curve concave upward x= t + ln t, y = 1 - ln t

What is the size of the settlement : what is the size of the settlement? (F) If you were the plaintiff, would you like to see a higher or lower interest rate? |

Write an expression for the cost of one big stone in locket : Let us consider the price of a cube shaped stone of edge length L inches. The cost of the raw stone is proportional to its weight which is proportional to cube of its length, i.e. L*L*L or L^3 (read "L cubed") . |

State what is the length of the house from ground level : If the roof of the home makes a 45 degree angle with the base of the home, what is the length of the house from ground level to the peak of the roof? |

Do the cans contain more than 950 mg of sodium per serving : A consumer's group is concered that the soup contains more sodium that what is listed on the can. A sample of 30 cans had a mean sodium content of 975mg per serving and a sample standard deviation of 60mg. Do the cans contain more than 950 mg of s.. |

Explain find and equation of the tangent to the curve : Find and equation of the tangent to the curve at the point corresponding to the given value of the parameter x= cos t + sin 2t, y= sin t + cos 2t (t=0) |

Use the definition of the derivative to find the derivative : Use the definition of the derivative to find the derivative of the following function. |

Estimate the distance d traveled during this period : The velocity graph of a car accelerating from rest to a speed of 105 km/h over a period of 30 seconds is shown. Estimate the distance, d traveled during this period. (Use M6 to get the most precise estimate. Round the answer to two decimal places... |

Find what is the probability that none selected is a woman : What is the probability that none selected is a woman? Enter your answer with 3 decimal places. |

Show the marginal product of labor and the value of marginal : Labor is the only input used by a perfectly competive firm. It hires workers for $50 a day. The firm's production function is shown in the following Table. Each unit output sells for $10. a.) complete the table to show the marginal product oflabor .. |

## Compute numerical linear algebra-normsBased on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product. |

## Volume of solid revolving xDescribe your question and receive a step-by-step response, usually within an hour or two.Find the volume of the solid bounded by x^2/(16 ) + y^2/9 = 1 revolving about the x-axis: |

## Find the speed of each trainthe speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 210 miles. Find the speed of each train. |

## Find the rate at which the distance from the planeA plane flying horizontally at an altitude of 2 mi and a speed of 520 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans.. |

## Find the volume enclosed by a hypersphere with radiususe an n-tuple integral to find the volume enclosed by a hypersphere with radius r in n-dimensional space. |

## Construct a truth table for given relationConstruct a truth table for given relation - Construct a truth table for each of the following |

## Description of recursionDetermine whether each of these proposed definitions is a valid recursive definition of a function f from the set of non negative integers to the set of integers. |

## Associated discrete distribution skeletonThe aim of the project is to determine, for any fixed grid constants, an appropriate discrete skeletons from multivariate data so that the memory computational effort is minimal. |

## Application of differential calculus in economicsApplication of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.) |

## How many of each type of coin does he haveSeptimus has 58 coins in nickels, dimes and quarters. The number of nickels is three less than twice the number of dimes. The total value of the coins is $7.40. How many of each type of coin does he have? |

## Write the contrapositive of the following statementWrite the contrapositive of the following statement: |

## Applications of derivativesAn isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph of f, where f(x)=12-x^2 for x is greater than or equal to 0 and f(x) is greater than or equal to 0. |

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