Compute the value of the following improper integral

Compute the value of the following improper integral ∫(5(ln(x)))/x^(8)dx, from 1 to infinity =Does the series ∑ (5(ln(n)))/(n^(8))dx, from n=1 to infinity converge or diverge? Hint:Use integration... more

solve this as quick as you can

Rectangle A has a length of 5 inches and a width of 3 inches. Rectangle A has the same area as Rectangle B, but has different dimensions. The width of Rectangle B is 50% shorter than the width of... more

Exponential and Logarithm

The Mendes family bought a new house 8 years ago for $126,000. The house is now worth $156,000. Assuming a steady rate of growth, what was the yearly rate of appreciation? Round your answer to the... more

Using Exponential and Logarithmic Functions

The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of... more

07/09/15

Rates of Change

A ladder AB of length 5 m has one end A leaning against a vertical wall. The other end B rests on the horizontal ground. When A is at a height of 4 m, it slides down the wall at the rate of 2m... more

07/09/15

Rates of Change

N is a fixed point on the circumference of a circle, centre O,radius 8 cm. A variable point P moves around the circumference such that θ (or ∠PON) increases at a constant rate of π/2 rad. per... more

Trigonometry

Given that  cosθ=-4/√53 and that the terminal side is in quadrant II, find the length of the third leg and  the other five trigonometric function values.

if ? is in quadrant IV, what can be a value of cos?

trigonometry help

motorboat takes 4 hours traveling 192 km upstream. 3 hours down stream. What is the rate of the boat in still water & what is he rate of the current

A motorboat takes 4 hours to travel 192 km going upstream. The return trip takes 3 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Find the rate at which the water level is rising when the water level is 2 cm

An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is... more

30 helpppp

a freight train leave the town and goes north at the rate of 40 miles per hour a second train starts North 3 hours later If the rate of the second train is 56 miles an hour ,in how many hours... more

Physics: temperature

Using the correct relationship between temperature in Celsius and Fahrenheit, what one temperature has the Fahrenheit value equal the Celsius value?

07/06/15

tough question

GIVEN THAT SINθ= -11/61 AND θ IN QUADRANT IV DETERMINES SIN 2θ, COS 2θ, TAN 2θ. WHICH QUADRANT IS 2θ IN.     SIN 2θ=     COS 2θ=    TAN 2θ= 

07/06/15

cannot figure out

USE THE HALF-ANGLE IDENTITIES TO EVALUATE EXACTLY?   SIN 15°=

07/06/15

Solve x^4 + x^2 – 2 = 0. (Multiple Choice)

a. x = ±1 or x = ±ib. x = ±1 or x = i√2c. x = ±1 or x = ±2d. x = ±1 or x = √2

07/06/15

Which is the derivative of y = /x3 + 3x - 16/2

 Calculus Question

07/06/15

what is the derivative of y = x100/100 - x50/50 + 50

Calcus question I don't understand the concept.

07/06/15

Differentiation

The tangent to the curve y=ax^2+bx+2 at (1,0.5) is parallel to the normal to the curve y=x^2+6x+4 at (-2,-4).Find the value of a and b.

07/05/15

solve problem

GIVEN THE FUNCTION VALUE AND THE QUADRANT RESTRICTION. FIND θ?   CSC θ = -1.0403,   INTERVAL (270°, 360°)    

07/04/15

a 100kg car starting from rest runs down a 30degree slope. If length of slope is 20meter . what is the speed of the car at bottom

Mass=100 kg Angle= 30 degree Distance= 20 meter Speed =?

07/04/15

Find the Area

Find the area between the graphs of f and g. f(x)=x2+3, f(x)=(√(x)) +3

07/04/15

Excluding stoppages the speed of a bus is 54km/hr and including stoppages it is 45km/hr. For how many minutes does the bus stop per hour.

Excluding stoppages the speed of a bus is 54km/hr and including stoppages it is 45 km/hr. For how many minutes the bus stop per hour. 

07/03/15

Kinematics

A particle P moves in a straight line so that its displacement, s m, from a fixed point O , t seconds after passing through point A one the line , is given by s=t^3-3t^2-9t+30. Calculate (a) the... more

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