Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

1. Evaluate the given limits, showing all working:

27_mathmatics eqution.jpg


2. Using first principles (i.e. the method used in ex 1, Washington 2009, Section 23.3 – Using definition to find derivative) find the derivative of each function and then evaluate the slope of the tangent line at the given point.

a). y = 12x2 - x3; (1, 11)

b). y = x/x - 1; (-3, 3/4)

3. The cross section of a hill can be approximated by the curve of y = 0.3x – 0. 00003x3 from x = 0 to x = 100 m. The top of the hill is level. How high is the hill?

4. A rectangular solid block of ice is melting such that the height is always twice the edge of the square base. Find the expression for the instantaneous rate of change of surface area A with respect to the edge of the base e.

 5. a) During each cycle, the vertical displacement s of the end of a robot arm is given by s = (t2 - 6t)(2t2 - t + 1) where t is the time. Using the product rule find the expression for the instantaneous velocity of the end of the robot arm. 

b) The amount n (in g) of a compound formed during a chemical change is n = 8t/2t2 + 3, where t is the time (in s). Find dn/dt for t = 3.0 s using the quotient rule.

6. The displacement s (in m) of an object as a function of time t (in s) is given by s = 3 √4 +9t
Using the Chain Rule find the values for:

i) The initial velocity.
ii) The velocity at t = 3 s.
iii) The initial acceleration.
iv) The acceleration at t = 3 s.

7.  a) A lens is described by the ellipse x2 - xy + y2 = 7 Use implicit differentiation to find the slope of a light ray tangent to the lens at  (1, −2 ).

b) Find the derivative of  x sec y - 2y = 2sin x cos x= −  without using a calculator.
 
b) Differentiate y = In(2x - 1/1 + x2)  without using a calculator.

8. For each of the following find:

i) The gradient of the graph at a given point
ii) The equation of the tangent line at that point
iii) The equation of the normal line at that point

a) y = 4x3 at the point (2, 32)

b) y = 1/2x at x = 1/4

9. a)  The distance d that can be seen from horizon to horizon from an airplane  varies directly as the square root of the altitude h of the airplane. If d = 213 km for h = 3950 m, find d for h = 5250 m.

b) The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V = 250 cm3when T = 200°

C and P = 130 kPa, what is the volume when T = 170°C and P = 130 kPa?

c) The acceleration of gravity g on a satellite in orbit around the earth varies inversely as the square of its distance r from the centre of the earth. If g = 8.7 m/s2 for a satellite at an altitude of 400 km above the surface of the earth, find g if it is 1000 km above the surface. The radius of the earth is 6.4* 106 m.

10. The time t required to test a computer memory unit is directly proportional to the square of the number n of memory cells in the unit. For a particular type of unit, n = 6400 for t = 25.0 s. Find the instantaneous rate of change of t with respect to n for this type of unit for n = 8000.

Math, Academics

  • Category:- Math
  • Reference No.:- M91049
  • Price:- $40

Guranteed 36 Hours Delivery, In Price:- $40

Have any Question? 


Related Questions in Math

Resolve the given vector into its x-component and

Resolve the given vector into its x-component and y-component. The given angle θ is measured counterclockwise from the positive x-axis (in standard position). Magnitude 2.76 mN, θ =237.65° The x-component A Subscript x = ...

Suppose that you want to enclose a rectangular area at the

Suppose that you want to enclose a rectangular area at the back of your house using the house as one side of the enclosure and fencing on the other three sides. If you have a total of 320 feet of fencing to use for this ...

As an international marketer how might you use a middleman

As an international marketer how might you use a middleman in your distribution strategy for the international transaction? How would the middlemen functions of your international strategy differ from a purely domestic o ...

Applying key skillsnbspplease respond to the

"Applying Key Skills" Please respond to the following: Describe the key skills you learned in this course. Explain how you expect to use those skills in your future academic, personal, and / or professional life. Recomme ...

A researcher wants to test the association between 3 stress

A researcher wants to test the association between 3 stress levels and 6 choices of favorite color in mature adults. The chi-square value computed was 12.37. at the 0.10 level what should the researcher conclude? a. with ...

Some machines require two registers for certain

Some machines require two registers for certain single-precision values. Suppose that the result of a multiplication of single-register quantities requires two consecutive registers, and when we divide a=b, the value of ...

Preparenbspan excelreg spreadsheet containing the

Prepare  an Excel® spreadsheet containing the following: Rhode Island  SELECT VARIABLES:  Snap Participants, Wic participants, Snap authorized stores, wic authorized stores Construct  a frequency table and histogram for ...

Assignment conflict resolutionconflict resolution is a

Assignment: Conflict Resolution Conflict resolution is a necessary skill for any manager or leader. In this assignment, you will examine the difference between conflict and competition. You will also explore ways of dete ...

A hardware store stocks eight types of pipes one of which

A hardware store stocks eight types of pipes, one of which is stainless steel (SS). Assuming there are at least 20 pipes of each type, how many ways can a total inventory of 20 pipes be distributed among the eight differ ...

1 construct a syntax-directed translation scheme that

1. Construct a syntax-directed translation scheme that trans-lates roman numerals up to 2000 into integers. 2. Construct a syntax-directed translation scheme to translate postfix arithmetic expressions into equivalent pr ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro