# Application of derivatives Questions and Answers

Calculus

Application of derivativesGiven the region bounded by y 2x 3 1 y 8x 1 and x 0 Sketch this region using the window size of 0 3 2 17

Calculus

Application of derivativesIf f x 9x 3 sin z 3 cos z then f x 9 9 3 Round your answer to the nearest hundredth 3 cos z cos z 3 sin z o and f 4

Calculus

Application of derivativesA ladder 10 ft long leans against a vertical wall If the lower end is being moved away from the wall at the rate of 6 ft sec how fast is the height of the top changing this will be a negative rate when the lower end is 6 feet from the wall The height of the top is changing at a rate of Simplify your answer ft sec 10 ft ft sec 10 ft when the lower end is 6 feet from the wall X y

Calculus

Application of derivativesThe volume of a cantaloupe is approximated by V The radius is growing at the rate of 0 4 cm week when the radius is 7 1 cm How fast is the volume changing at that moment The volume is changing at a rate of about Round to one decimal place as needed weeks cm week cm cm week cm week

Calculus

Application of derivativesomework Section 7 3 omework Determine the quantity needed riangle must be the same to m

Calculus

Application of derivativesD A territory shares a 1 8 kilometer border with an area of about 6 87 square kilometers and has a maximum height of 423 meters a Determine the length of the border in mil b Determine the area of the territory in squ c Determine the height of the rock in feet

Calculus

Application of derivativesA restaurant has a main location and a traveling food truck The first matrix A shows the number of managers and associates employed The second matrix B shows the average annual cost of salary and benefits in thousands of dollars Complete parts a through c below Restaurant Food Truck a Find the matrix product AB AB Managers Associates 4 24 2 7 720 128 254 44 Simplify your answer A Salary Benefits Managers 42 Associates 23 8 4 B

Calculus

Application of derivativesK A basketball team sells tickets that cost 10 20 or for VIP seats 30 The team has sold 3210 tickets overall It has sold 163 more 20 tickets than 10 tickets The total sales are 61 940 How many tickets of each kind have been sold How many 10 tickets were sold COCOS

Calculus

Application of derivativesAbigall Henderson has 1890 00 budgeted for spending money on an upcoming trip to Country A and Country B Country A s currency is trading at 1 20 per currency A and Country B s currency is trading at 1 50 per currency B She plans to spend more time in Country A so she wants to have four times as much of currency A as currency B Set up and solve a system of equations to model this problem and explain what the answer means in practical terms Complete the equation that represents the total cost of purchasing currency Let x be the number of currency A and y the number of currency B x1 2 y1 5 1890 00 Do not include the symbol in your answers Do not simplify Use integers or decimals for any numbers in the equation Complete the equation that represents the relationship between the number of currency A and number of currency B 0 Do not simplify Use integers or decimals for any numbers in the equation

Calculus

Application of derivativesCounty A County B County C The population y in the year x of the counties listed is approximated by the given equations where x 10 corresponds to 2010 and y is in thousands Solve this system of equations and interpret the answer x 20y 66 x 10y 26 y 4 Points 2 of 4 Save What does the answer represent Select the correct choice below and if necessary fill in the answer boxes to complete your choice in the year OA Two counties had the same population of B All three counties had the same population of in the year C There will be infinitely many times when the three counties will have the same population D There will never be a time when all three counties have the same population D

Calculus

Application of derivativesQuestion 3 6 2 13 Write an augmented matrix for the following system of equations 5x 5y z 1 7x 9y 6z 8 y z 2 he entries in the matrix are www