01/01/14

Which of the following?

Which of the following is true about the graph of y=ln abs(x^2-1) in the interval (-1, 1)?   a) It is increasing. b) It attains a relative minimum at (0, 0). c) It has a range of all real... more

12/30/13

Find the value?

  Let y=x*sqrt(1+x^2). When x=0 and dx=2, find the value of dy. Answer: 2

how to write an exponential function

Andrew measures the amount of a very unstable substance to be 100 moles.  The half-life of  this substance is 3 days (after 3 days, half is gone).   How will I write an exponenential function... more

12/29/13

For what non-negative value?

For what non-negative value of b is the line given by y=-1/3x+b normal to the curve y=x^3?   Answer: 4/3    

12/28/13

What's f(x)?

If ∫ x^2*cos x dx=f(x)-∫ 2x sin x dx, what's f(x)?   Answer: x^2*sin x+C    

12/28/13

If n is a non-negative integer?

If n is a non-negative integer, then ∫ x^n dx from 0 to 1=∫ (1-x)^n dx from 0 to 1 for?   a) no n b) n even, only c) n odd, only d) nonzero n, only e) all n   Answer: E    

12/27/13

What's f'(1)?

If f(x)=(x^2+1)^(2-3x), what's f'(1)?   f'(x)=-3*ln(x^2+1)*(x^2+1)^(2-3x) f'(1)=-3*ln(2)*2^(-1)   But the answer is (-1/2)*ln(8e)    

12/27/13

how do i write and solve a system of linear equations for a story problem

scott orders a 3 topping pizza for 15.25 and a 5 topping pizza for 17.75. write and solve a system of linear equations to find the price of a plain cheese pizza (no toppings) and the cost of each... more

12/27/13

Find the largest delta?

Find the largest delta that could be used successfully with an arbitrary e in an epsilon-delta proof of limit of (1-3x)=-5 as x approaches to 2?   Answer: delta=e/4    

12/25/13

For what function?

∑ ((-1)^n*x^n)/n! is the Taylor series about zero for what function?   Answer: e^-x    

12/23/13

Without using a calculator, determine the number of real zeros of the function f(x) = x.3 + 4x.2 + x – 6.

how do i determine the number of real zeros of the function 

12/21/13

The area of the closed region?

  The area of the closed region bounded by the polar graph of r=sqrt(3+cos theta) is given by what integral? Answer: ∫ (3+cos theta) dθ from 0 to pi How can you find this?

12/20/13

word problems and turning them into algebraic equation to slove

 The Tile company tiles rectangle areas. Ted lays the center tiles. Mary comes along and borders the area with gray tiles. ( For example, in a 1x3 area, Ted would lay the three center tiles and... more

word problems and turning them into algebraic equation to slove

This will be hard to visualize, but I'll try to explain.   Suppose that n3 sugar cubes are stacked to form an n x n x n cube. ( cube is 6 cubes wide, 6 cubes length and 6 cubes in height ) The... more

12/20/13

word problems and turning them into algebraic equation to slove

Yet another farm problem to set up and solve..... Tina looks out into the barnyard and sees pigs, chickens and ducks. She counts 38 heads and 86 feet. Knowing that that the sum of the number of... more

12/19/13

What's the closest integer approximation?

Let R be the region enclosed by the graph of y=sin e^x^2, the x-axis, and the lines x=-1 and x=1. What's the closest integer approximation of the area of R?   Answer: 2   Since it's x-axis,... more

12/17/13

All but 2 wore white. All but 2 wore yellow. All but 2 wore red. How many total?

THis is a question on my 4th grade grandson's homework.

12/17/13

perpendicular or parallel lines

1) Which describes the lines represented by these equations?     y=1/6x+6 y=2/12x+6   a. conincident lines b. intersecting lines c. parallel lines d. vertical lines   2)  Which best... more

Easy grade 9 math! Help!

A skier takes 2 min and 24s to complete a run of 1.8km. Determine the average speed of the skier, in m's.   (We are currently learning about linear equations. If that helps at all!)   Please help! more

Easy Grade 9 math help!

At a school dance, the student council sold cans of pop and bags of chips. The price of a can of pop is one and a half times the price of a bag of chips. The pop sells for $0.90 and they sold... more

12/16/13

What's the maximum speed?

A compressed spring has 16 J of potential energy. What's the maximum speed it can impart to a 2 kg object?   Answer: 4.0 m/s

12/16/13

What's the potential energy?

A force of 10 N stretches a spring that has a spring constant of 20 N/m. What's the potential energy stored in the spring?   Answer: 2.5 J

12/15/13

at what price will the manufacturer sell the maximum number of drills?

A manufactureer determines that the number of drills it can sell is given by the formula D= -3p^2 + 174p - 310 where p is the price of the drills in dollars

12/15/13

Find dy/dx for the relation? (Please check my answer)

Find dy/dx for the relation 2xy^2+3*ln(y)=x^2-3y^3 at the point (3, 1).   I got 2/21 as the answer but the book says 1/6. Am I right? Can you show complete work so I see the procedure?

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