Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

Answer all problems showing all working:
problem1) Everybody’s blood pressure varies over the course of the day. In a certain individual the resting diastolic blood pressure at time t is given by B(t) = 80 + 7 sin (πt/12), where t is measured in hours since midnight and B(t) in mmHg (mm of mercury). Find this person’s diastolic blood pressure at
a) 6:30 AM
b) 10:30 AM
c) Noon
d) 8:00 PM

problem 2) After the switch is closed in an LCR electrical circuit (one with a resister, inductor and capacitor), the current t seconds later is I(t) = 0.8e-3tsin10t. Find the current at the following times
a) t = 0.05s
b) t = 0.1s
c) t = 0.25s
d) t = 0.5s

problem3) Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function

b(t) = 7.9-2.1 cos(Π/156t)

where t is measured in days.
a) Find the period
b) Find the maximum and minimum brightness values
c) Graph its function

problem4) The frequency of oscillation of an object suspended on a spring depends on the stiffness k of the spring (called the spring constant) and the mass m of the object. If the spring is compressed a distance a and then allowed to oscillate, its displacement from its starting point is given by

f(t) = a cos√(K/mt)

a) A mass of 10g is suspended from a spring with stiffness k = 3. If the spring is compressed a distance 5 cm and then released, find the equation that describes the oscillation of the spring.
b) Find a general formula for its frequency of oscillation (in terms of k and m).
c) How is the frequency affected if the mass is increased? Is the oscillation faster or slower?
d) How is the frequency affected if a stiffer spring is used (larger k)? Is the oscillation faster or slower?

problem5) Memphis, Tennessee, and New Orleans, Louisiana, lie approximately on the same meridian. Memphis has latitude 35°N and New Orleans has latitude 30°N. Find the distance between these two cities. (The radius of the earth is approximately 3960 miles).

problem 6) An irrigation system uses a straight 30m sprinkler pipe which is capped at one end and arranged so that all water is released directly downwards and pivots around a central point. Due to an obstacle the pipe is allowed to pivot through 280° only. Find the area irrigated by this system.

problem7) From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship form the base of the lighthouse?

problem8) To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, the star is observed at two different times exactly 6 months apart, and its apparent change in position is recorded. From these two observations,1SE2can be find outd. (The times are chosen so that 1SE2 is as large as possible, which guarantees that 1OSis 90°.) Alpha Centauri, the star nearest the earth, the measured angle 1SE2 has been found to be 0.000422°. Estimate the distance to this star. (Use 9.3 x 107 miles as the distance from the earth to the sun)

1734_distance of stars.jpg

problem9) The time in seconds that it takes for a sled to slide down a hillside inclined at and angle θ is

t= √(d/16 sin θ)
where d is the length of the slope in metres. Find the time it takes to slide down a 2 km slope inclined at 30°.
problem10) A 50-foot pole casts a shadow on the ground.
a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this first)
b) Find the angle θ of elevation of the sun when the shadow is 20 feet long.

problem11) A pilot is flying over a straight length of road. He determines the angles of depression of two mileposts, 5 miles apart, to be 32° and 48°.
a) Find the distance of the plane from one of the mileposts.
b) Find the elevation of the plane. (hint the angle of depression is between the flight line of the plane and the milepost)

problem12) Two boats leave the same port at the same time. One travels at a constant speed of 30 km/hr at a bearing of 50° and the other on a bearing of 110° at a constant speed of 26 km/hr. How far apart are the two boats after 2 hours?
problem13) A 125-foot tower is located on the side of a mountain that is inclined at 32° to the horizontal. A guy wire is to be fitted to the top of the tower and anchored at a point 55 feet downhill from the base of the tower. Find the shortest length of wire needed.

Math, Academics

  • Category:- Math
  • Reference No.:- M9404

Have any Question? 


Related Questions in Math

Questionnbspannuities or lump sums75 to 150 wordsin this

Question:  Annuities or Lump Sums? (75 to 150 words) In this discussion, please answer the following question and post your response to the discussion board. Please keep in mind, in order to remain eligible for full cred ...

1 generalize the computation of ershov numbers to

1. Generalize the computation of Ershov numbers to expression trees with interior nodes with three or more children. 2. An assignment to an array element, such as a[i] = x, appears to be an operator with three operands: ...

A debt of 25000 is to be amortized by making payments of

A debt of $25,000 is to be amortized by making payments of $1500 atthe end of each month. The interest rate is 12% compounded monthly. a. What is the outstanding principal after the 12th payment? b. What is the size of t ...

On january 15 1990 anders brought an action against barnes

On January 15, 1990, Anders brought an action against Barnes for breach of a contract for the sale of electronic parts. The breach occurred on January 10, 1986, and Anders discovered the breach on January 20, 1986. The s ...

You are going to design an advertisement for a new

You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a nu ...

Data is collected on 20 teenagers to see if there is a

Data is collected on 20 teenagers to see if there is a correlation between GPA and hours spent in athletic pursuits each week. If r= -0.4, at the 0.05 level is there a negative correlation between GPA and athletic pursui ...

Geometry math discussion questionsdiscussion

Geometry Math Discussion Questions DISCUSSION QUESTIONS 1. Triangle LMP has coordinates L (3,4), M (6,6), and P (5, 5). A translation maps point L to L' at (7, -4). Find the coordinates for M', and for P', for this trans ...

Creating your own math questions serves as a highly

Creating your own math questions serves as a highly effective method of concept review. Share a mathematics concept in the form of a potential exam question. Your concept can be something that proved to be a challenge to ...

Exploring different businessit alignment frameworks

Exploring different business/IT alignment frameworks, methodologies and tools: Architecture: Enterprise Architecture [TOGAF] Governance: Business Performance Management [Balanced Scorecard] IT Governance [COBIT, ITIL] Co ...

In 450 words with referenceshow would you describe apples

In 450 words with references: How would you describe Apple's (or United Way) brand strategy? Discuss other brand strategies marketers use to develop brand loyalty. Give a detailed description of what in involved with the ...

  • 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