06/29/16

number of tangents

Find number of points where tangents does not exist for the curve y =sgn(x2 -1 )

06/29/16

differentiation of a function

Prove dy/dx = sec x for y= ln tan(π/4 + x/2)

Can Someone help me

Using a wheel and axle machine, a force of 100 N applied to the rim of a wheel can lift a load of 80 kg .The diameters of the wheel and axle are 1 m and 80 cm respectively. Determine the actual... more

04/08/16

physic - projectile

Which of the following is INCORRECT? (assume a constant take-off velocity) a. At a take-off angle of 10o and 75o, the distance traveled is similar but the time is much longer for 75o.b. At a... more

Use inverse functions

2 cos^2 x +7 sin x =5

How can i find b?

A 43 mg of a vaccine is given to a patient to prevent measles. The vaccine leaves the body at a rate of5.2% per hour. b-The number of milligrams of vaccine in the body after h days is how many... more

Equation of circle given center and tangent line

What is the equation for a circle which has its center at (1, 2) and is tangent to the line -3x+2y= 14. Solve using your algebra skills; DO NOT USE CONSTRUCTIONS!!!!   The equation of a circle is... more

03/20/16

A school has 690 Pupils and teachers altogether.

A school has 690 Pupils and teachers altogether. There are 3 times as many girls as boys, there are 25 more teachers than boys. How many pupils are there? How many teachers are there?

A Salty Tank

A very large tank initially contains 15 gallons of saltwater containing 6 pounds of salt. Saltwater containing 1 pound of salt per gallon is pumped into the top of the tank at a rate of 2 gallons... more

12/06/15

Series converges or diverges

∞ ∑ (2n+3)/(n2+3n+1) n=0

Heat Transfer

Suppose a lake has a layer of ice 12 cm thick on its surface. The top of the ice layer is cooled by the atmosphere to -5.45° C. The lower surface is in contact with water at 0.0° C. The thermal... more

Calculate the freezing point and boiling point of each of the following solutions:

Calculate the freezing point and boiling point of each of the following solutions:       1)  the freezing point of the solution: 153 g of sucrose, C12H22O11 , a nonelectrolyte, dissolved in... more

A butcher has some hamburger that is 18% fat and some that is 12% fat. How many pounds of each should be mixed to make 81 lb of hamburger that is 14% fat?

How many pounds of 18% fat and how many pounds of 12% fat? Requires two answers

PROBABILITY

A bag contains 6 red balls and 6 blue balls. 5 balls are selected at random. Find the probability of selecting 5 red balls.

if h(x)=cscx, find all values of x on (0,360) where f'(x) = h'(x)

if h(x)=cscx, find all values of x on (0,360) where f'(x) = h'(x)

10/22/15

my question is linearize y=f(x)=-3x^2+2x=5 at x 0 (x zero)=-2 , thank you!

this is a calculus question from my univ hw.

10/22/15

Calculate the change in internal energy of the following system: A balloon is cooled by removing 0.651 kJ of heat. It shrinks on cooling, and the atmosphere doe

Calculate the change in internal energy of the following system: A balloon is cooled by removing 0.651 kJ of heat. It shrinks on cooling, and the atmosphere does 386 J of work on the... more

Modelling Linear Systems

It took a patrol boat 5 hours to travel 60km up a river against the current, and 3 hours for the return trip with the current. Find the speed of the boat in still water and the speed of the current.

Modelling Linear Systems, using Volume, Percentage and mL

What volume, in millilitres, of 60% hydrochloric Acid sol. must be added to a 100mL of a 30% hyrdrochloric acid sol. to make a 36% hyrdrochloric acid sol.?

The owner of a fourplex rented four apartments for different amounts with a mean rental of $650. One of the apartments was extensively remodeled and the owner

increased the rent of that apartment from $525 to $825. What is the new mean rental of the four apartments?

A trench is being dug by a team of labourers who removes V cubic metres of soil in t minutes, where V=10*t-(t^2)/20.

V=10*t-(t2)/20   a) State the logical domain of the function, i.e. the values of t during which soil is being removed.b) At what rate is the soil is being removed at the end of 40 minutes ?c) Are... more

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