Category Archives: Calculation

1—x4 J ,c4(1+x2+x4)dx, Does it give you an elementary antiderivative? How do you know?

Problem 3. A. (5 points) (a) Try using Wolfram Alpha to solve the integral, 1—x4 J ,c4(1+x2+x4)dx, Does it give you an elementary antiderivative? How do you know? (b) Use a substitution of the form u = xk + X-k (for some positive integer k) to solve the integral j..ilFx4(1+x2+x4) (HINT: After your substitution, you […]

Discuss How many feet does it take to stop an ambulance at the following speeds (the vehicle weight is approximately 11,000 pounds)? Dry pavement 60 MPH Wet Pavement 60 MPH Dry pavement 40 MPH Wet Pavement 40 MPH

Research the following information: How many feet does it take to stop an ambulance at the following speeds (the vehicle weight is approximately 11,000 pounds)? Dry pavement 60 MPH Wet Pavement 60 MPH Dry pavement 40 MPH Wet Pavement 40 MPH Take the number of feet found under dry pavement conditions and actually walk outside […]

Six people from different occupations were interviewed for a survey, and their annual salaries were as follows: $12,000, $20,000, $25,000, $37,000, $67,000, and $125,000. What is the mean annual salary for the six people?

Class Information folder. These problems are also due Wednesday, October 7 by 11:00 am. NO late papers will be graded. TEST 2 PART 2: Each part counts 3 points. Solve and answer each problem. 29. Six people from different occupations were interviewed for a survey, and their annual salaries were as follows: $12,000, $20,000, $25,000, […]

Complete and submit. Determine the type of function and give the regression equation. Find the value of y when x=10.

Complete and submit. Determine the type of function and give the regression equation. Find the value of y when x=10. What value of x will yield a y value in excess of 10,000? 1. x 0 1 2 3 4 y 3 6 12 24 48 2. (0,5) (2,10) (4,15) (6,20) (8,25) 3. (0,4) (2,13) […]

Why does the yield change through time but the coupon rate does not?Explain

3 | P a g eClients Financial Questions: (25 marks) •Your client considered investing in either debt securities or equity securities and would like to know what are the main characteristics that distinguish the return on debt securities from the return and on equity securities? (12 marks) •Why does the yield change through time but […]

The variables y and t satisfy the differential equation Ti1 = (y + 2)sin2t. Also, when t = 0,y = 0. Find the exact value ofy when t = 714. You must use calculus and give the results of any integration needed to solve this problem (e) The diagram shows how the curve y = ex intersects with the curve y = kx0.5 + 1 when k = 4 and k = 5. Find the area of the space between y = ex and y = kx0-5 + 1, when the x-coordinates of the points of intersection are 0 and 2.

(e) The variables y and t satisfy the differential equation Ti1 = (y + 2)sin2t. Also, when t = 0,y = 0. Find the exact value ofy when t = 714. You must use calculus and give the results of any integration needed to solve this problem (e) The diagram shows how the curve y […]

Check that the gap between total cost and total variable cost is the same at all output levels.  Explain why this relationship is so important and demonstrate clear insightful and critical thinking

· Assess data (in the table below) related to a small lawn mowing business. Angela hires students at $40 a day to mow lawns. Regardless of the number of students she hires, Angela leases five lawn mowers for $200 a day. The following table gives the daily output: Labor (students per day) Total Product (lawns […]

A cylinder is placed within a cone as shown, so that the top of the cone and cylinder share the same plane and centre. The cone is of height 18cm and radius 3cm. What height must the cylinder have if its volume is to be maximum? You must use calculus and show any derivatives that you need to find when solving this problem. You do not have to show that the height you find will give a cylinder of maximum volume.

(e) A cylinder is placed within a cone as shown, so that the top of the cone and cylinder share the same plane and centre. The cone is of height 18cm and radius 3cm. What height must the cylinder have if its volume is to be maximum? You must use calculus and show any derivatives […]