Find the values of the zeros of a polynomial

QUESTION: Two of the zeros of x4 - 12x3 + 59x2 - 138x + 130 are a+ib and a+2ib. Find a and b and hence, factorise the polynomial over the real field.    I assume that you just need to make... more

Finding unknown values and solving Q(x) = x^3 - 6x^2 + ax + b

Question: The polynomial Q(x) = x^3 - 6x^2 + ax + b has one zero (1 - i√5), where a and b are real. Find the values of a and b and solve the equation for Q(x) = 0. Note that 'i' represents the... more

12/29/15

Evaluate the indefinite integral. (Remember to use ln(|u|) where appropriate.)

Evaluate the indefinite integral. (Remember to use ln(|u|) where appropriate.)   ∫  dx/(tx+k)  t≠0

12/28/15

A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. Its maximum cruising speed is 90 mi/h.

A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s^2. Its maximum cruising speed is 90 mi/h.   (a) What is the maximum distance the train can travel if it accelerates... more

12/28/15

What happens when a cone is immersed in a cylinder?

A cylindrical container of base radius 8 cm is filled with water to a depth of 10 cm. (The height of the container is more than 10 cm). A solid right circular cone of base radius 6 cm and height h... more

Can't solve this!!I tried to solve this couple of times.Please direct me!!

4/x+2 =3x/x-1 -3    Ans:x=-2,x=-3,x=-4,x=-5            

12/27/15

Relative Extrema

 list the relative extrema and inflection points for f(x)=(x3/3)+6x2+1

12/23/15

Rolle's Theorem & Second Derivative Test Question

Okay, so when going over some problems to prepare for a test that is coming up soon, I have these two questions im not sure on. I know these types of questions will be on the test, so I need help... more

12/18/15

Two sides of a triangle are 15 and 31. Can the third side be 45? Why or why not?

This is for my Geometry Exam. I need it urgent. I believe it was no because of the Pythagorean Theorem, but others say there is another way with another method. Someone please help.

12/17/15

I have 5 questions I need help with. Please and thank you for everyone who can help.

I have 5 questions I need help with. Please and thank you for everyone who can help.1. Write the possible products and determine if the reaction will occur. Include which products are insoluble and... more

12/17/15

Calculate the empirical formula

Calculate the empirical formula of the following compound containing 15.8% carbon and 84.2% sulfur

12/14/15

Pre-laboratory excercises

The thermol decompostion of calcium carbonate produces two by-products, calcium oxide (also known as quicklime) and carbon dioxide. Calculate the volume of carbon dioxide produced at STP from the... more

12/13/15

How much work must be done on a 20-kg go-cart to increase its speed from 5 m/s to 10 m/s?

A. 250 J B. 750 J C. 1,000 J D. 100 J

12/10/15

Please help solve the below word problem

1 step stair uses 1 block 2 step stairs uses 3 blocks 3 step stair uses 6 blocks how many does 10 step stair use? how many blocks for a 37 step stair? how many blocks will be needed to build a... more

Help with this word problem

A total of $10,000 is invested in two accounts. One account earns 6% per year. And the other earns 4% per year. If the total interest in the first year is $560. How much is invested in each account?

12/07/15

Which bullet will hit the ground first?

A bullet is shot horizontally out of a gun at 200 per hour and an identical bullet is dropped from the same height at the same time. Which bullet will hit the ground first?

12/07/15

a farmer has two rectangular gardens from 200 yards of fencing, they are planted beside each other so they share a side.

two rectangular gardens are made from 200 yards of fencing. the gardens are planted beside each other so they share a side. If the farmer wants the total area to be as large as possible, what... more

12/07/15

Precalc fountain question

fountain 1 has a water jet that sprays water from a location on a wall 12ft above the ground. The water reaches it's maximum height at a point 20 ft above ground and 4 ft from the wall. Write a... more

Write a nuclear equation for these two processes

When isotope 27 Al is irradiated with alpha particles the                     13 products from each aluminum nucleus are a neutron and a nuclide that emits positrons to give the stable isotope 30... more

12/06/15

What is the derivative of h(x)=x(sin(x))^x?

 What is the derivative of h(x)=x(sin(x))^x?

12/06/15

trigonometry

find all solutions in the interval [0,2pi)2sin^2 theta + sin theta = 0Please help me. thank you.

12/06/15

Does the following series converges or diverges?

∞ ∑ (n2-3n+5)/(n3+4n-1) n=1

12/05/15

Find the limit of lim (x --> 0) (tan(6t)) / sin(2t)

Find the limit of   lim (x --> 0) (tan(6t)) / sin(2t)     ANSWER:  3 #41, p197

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