Explore BrainMass
Share

# Basic Calculus

### Solving Precalculus Problems: Probability Rolling

I'm having trouble writing equations for word problems. I would like help in figuring out how to set up the right equations in order to find solutions to the following problems: 1) Marlene rides her bicycle to her friend Jonâ's house and returns home by the same route. Marlene rides her bike at constant speeds of 6 mph on l

### Physical and Social Domains

What are the most signification concepts that you have learned about the physical and social domains on the basis of your reading and experience with children? Explain why you chose these concepts. You can include personal experiences also.

### Precalculus for technology

#46 Convert each degree measure to radians. 174degrees 50 minutes #58 Convert each radian measure to degrees, write answers to nearest minute. 9.84763 #84 Find the distance in kilometers between each pair of cities, assuming they lie on the same north south line. Farmersville CA, 36degrees North and Pen

### Precalculus- please show me the work

Please show me steps to solve it: 1) The populations of termites and spiders in a certain house are growing exponentially.The house contains 100 termites the day you move in. After 4 days, the house contains 200 termites. Three days after moving in, there are two times as many termites as spiders. Eight days after moving in,

### Precalculus: ant population on ships

A ship embarked on a long voyage. At the start of the voyage, there were 500 ants in the cargo hold of the ship. One week into the voyage, there were 800 ants. Suppose the population of ants is an exponential function of time. (a) How long did it take the population to double? (b) How long did it take the population to triple?

### Precalculus

Please help with the following posting. Provide step by step calculations for each. Your Grandfather purchased a house for \$55,000 in 1952 and it has increased in value according to a function y = v(x), where x is the number of years owned. These questions probe the future value of the house under various mathematical mode

### Precalculus for technology is depicted.

7.4 #20 use an identity to write each expression as a single trigonometric function value or as a single number. 1-2sin^2(22)(1/2degree) #30 express each function as a trigonometric function of x. cos 3x #56 write each expression as a sum or difference of trigonometric functions. 8 sin 7x sin 9x #58 write each expression

### Precalculus for technology is reiterated.

7.1 #2. if cos (theta) = -.65, then cos(-theta) = _______ #8. find sin (theta), cot (theta) = -(1/3), (theta) in quadrant IV #26 find the remaining five trigonometric functions of (theta), cos (theta) = (1/5), (theta) in quadrant I #56 write each expression in terms of sine and cosine, and simplify so that no quotients appea

### Angular velocity question

a) A body of mass m kg is attached to a point by string of length 1.25 m. If the mass is rotating in a horizontal circle 0.75 m below the point of attachment, calculate its angular velocity. b) If the mass rotates on a table, calculate the force on the table when the speed of rotation is 25 rpm and the mass is 6 kg.

### Calculating Time Needed to Empty Tank

Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?

The equivalent impedance Z of two impedances Z1 and Z2 in parallel is given by the formula 1/Z = 1/Z1 + 1/Z2 . If Z1 = 3 + j2 and Z2 = 1 - j3, calculate Z giving your answer in the following form: r(cos 0 + j sin 0) where 0 is in radians. Take 0 as theta.

### Convergent or Divergent

Determine whether the series is convergent or divergent by expressing the partial sum as a telescoping sum. If it is convergent, find its sum. The sum from n = 1 to infinity of 2 / (n^2 +4n +3).

### Calculate the marginal cost

The total cost (in dollars) of producing x food processors is C(x)= 2500+90x-0.2x^2 (x-squared) (A) Find the exact cost of producing the 61st food processor. (B) Use the marginal cost to approximate the cost of producing the 61st food processor.

### Calculus Example Question

In a certain memory experiment, subject A is able to memorize words at a rate given by (first attachment) In the same memory experiment, subject B is able to memorize at the rate given by (second attachment) How many more words does subject B memorize from t = 0 to t = 15 (during the first 15 minutes)? a. 16

### Estimate the value of the quantity.

Estimate the value of the quantity. A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2 second intervals. Estimate the distance the paper travelled using Right-Endpoints. *** Table Is Attached *** Answer Options: a) 116ft b) 212ft c) 28ft d) 232ft

### Velocity help

Velocity ds/dt (in meters/second) of a projectile is given by ds/dt=-9.8t+16 Find the displacement s of the object after 4 seconds if the initial displacement is 48m. Please show work

### Velocity of a Propelled Object

If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per sec, then its height after t seconds is given by the equation h=-16t2+80t+96 where h is in feet. After how many seconds will the object reach a height of 196 feet?

### Sample size: Penny abolition

A researcher wishes to estimate, with 90% confidence, the percentage of adults who support abolishing the penny. His estimate must be accurate within 2% of the true proportion. a) Find the minimum sample size needed, using a prior study that found that 24% of the respondents said they support abolishing the penny. b) No preli

### Series Convergence: Determining Alpha Values

Fix a positive number alpha and consider the series: sum_{from k=1 to infinity} 1/([k+1][ln(k+1)]^alpha) For what values of alpha does this series converge? Please explain how the values of alpha were obtained. Please see attached document for the problem in equation form.

### Simplifying Limits and DNE's

1. Evaluate the following limits. a) lim 2x^2 + 0x - 18/x^3 - 27=______. x->3 b) lim (9x + 6)^-1 - 24^-1/x - 2=_______. x->2 2. Let f(x)= {x^2 + 1, x<-4 {-3x + 2, -4<x<5 { 2/x, 5<x a) lim f(x)=________. x->-4^- b) lim f(x)=________. x->-4^+ c) lim f(x)=

### Marginal Cost of Food Processors

The total cost (in dollars) of producing 'x' food processors is C(x)=2400 + 60x - 0.7x^2 (a) Exact cost of producing the 41st processor = 3.3 The part that I do not understand how to do: (b) Use the marginal cost to approximate the cost of producing the 41st food processor. I know I start off with: C'(x)=(d/dx) (2400

### Differentiability in R^n

Suppose that 0<r<1 and than f: B(0) --> R is continuously differentiable. If there is an alpha>0 such that |f(x)|<=||x||^alpha for all xeB_r(0). Prove that here is an M>0 such that |f(x)|<=M||x|| for xeB_r(0)

### Summation Notation to Infinity

Calc Questions & Answers 1) Make a List of 10 Mathish words or terms that were covered in this Calculus class and provide a brief definition (more than 10 words) 2) If Zero * Infinity is considered Non-Sense, What is Zero divided by Infinity? Give a 25 word or so explanation. 3) Write the sum 2 + 4 + 6 + .....+ 98 + 1

### Find the average value for intervals

Consider the function f(x)= 4-x^2 a) Find the average value of f on the interval (0,2) b)Determine the number c that satisfies the mean value theorem for integrals for f on the interval (0,2) c)sketch the graph of f

### Find the distance traveled.

A particle moves along a line so that its velocity at time t is v(t)= t^2-t-6 m/s a) Find the displacement of the particle during the time period 2< or equal to t< or equal to 4 and interpret the result. b) Find the distance traveled during this time period.

### Derivatives and Trigonometry Functions

I need the full calculations as well as the answers. If I can see how you got from A to B to C I can figure it out, just the answers wouldn't help.10 basic problems. Find the First Derivative K(x)= 1/ (x^4)-(x^2)+1 G(t)= square root of 6t+5 G(x)= 6/[(3x^2)-1]^4 F(r)=[(r^2)-(r^-2)]^-2 Find the Limit lim

### Precalculus Problems

Please see attached for the details of the problems.

### Liouville's theorem

Suppose that f(z) = u(x , y) + i*v(x, y) (where z = x + i*y) is ENTIRE and not constant. Use Liouville's theorem to prove that v(x, y) is unbounded. Under what conditions can a function that is harmonic everywhere be bounded?

### Calculus: uniform continuity

Please refer to the attached file for the proper formatting. Suppose I C R and J C R are intervals, f : I --> J is uniformly continuous, and g : J --> R is uniformly continuous. a) Give the definition of h=g dot f. What is its domain? b) Prove that h is uniformly continuous.

### Moment of Force Exerted in Mechanics

I'm having some trouble understanding how to get to the answer. The answer is in the book. -( 25.4 lb x ft)i - ( 12.60 lb x ft) j - ( 12.60 lb x ft) k . A 6- ft- long fishing rod AB is securely anchored in the sand of a beach. After a fish takes the bait, the resulting force in the line is 6 lb. Determine the moment about A