Find the cardinal number for the set given below.

{x|x is a continent whose name begins with the letter Y}   The cardinal number of the given set is what?

01/13/16

Speed and wind speed

An airplane takes 3 hours to travel a distance of 1800 miles with the wind. The return trip takes 5 hours against the wind.  Find the speed of the plane in still air and the speed of the wind.  

01/13/16

describe and correct the error

t^2-5t=7 discriminant = (-5)^2-4(1)(7)=25-28=-3 discriminant is negative, so there are no real solutions.

HIgher Derivatives and Applications

Which point on the curve y-x^2 is nearest to the point (3,0)?

01/12/16

The minute hand of a clock is 5 inches long. What distance does its tip move in 20 minutes?

This is a precalculus question.

01/12/16

b. Convert your distance from school to home from miles to inches. (Express with 2 sig figs in scientific notation.)

1. Use Dimensional Analysis to solve the following problems.   can some one show me the steps with answ

01/12/16

Prove the identity cot^2x - cos^2x= cos^2x - cot ^2x

Pre calculus 

01/10/16

Vertex form is y = a(x - h)^2 + k. How do you write the quadratic function y = -3x^2 + 18x + 7 in vertex form?

y = 3(x - 3)^2 + 34 y = -3(x + 3)^2 + 7 y = 18(x - 3)^2 + 7 y = -3(x - 3)^2 + 34 y = -3(x + 3)^2 - 74

Find their rate

Along the beach, a man and a woman walks towards each other. If they are 1 km apart and the man walks twice as fast as the woman, they will meet in 10 minutes. 

01/09/16

Let f(x)=(x^2)/1-x. Determine (limx->1+) xf(x)

how do I solve this? 

Let f(x)=x^3 +x+1. Let L be the tangent line to f(x) at point P=(2,11), and let M be the line passing through P and perpendicular to L. Find equation of M.

How do I solve this?  Do I have to find the slope of x^3+x+1 at (2,11) first? How do I do this

01/09/16

Logarithms

Use log 2=M, log 3=N, log 5=P and the properties of logarithms to evaluate the following expressions            b            b             b   (a) log 15          b   (b) log 8        ... more

01/09/16

Math problem

What is the domain of the function f(x)= (1/3)log (2 square root of 2x-10)                                                                        3 I found (-5/4,∞) is this correct?

01/09/16

Logarithms

Question 1 Write the expression log  x-2 log  y+log  z   in the formlog P                                    5           5       5                          b   I came up with 2log (xyz) but i... more

01/09/16

Use the second derivative test to find the relative extrema for f(x) = –x^4 + 18x^2.

 Use the second derivative test to find the relative extrema for f(x) = –x^4 + 18x^2.

01/08/16

What is the value of the expression 12c5

Trying to solve this problem too

01/08/16

Identifying linear equations

State whether or not the following equation is a linear equation. Give a reason foryour answer.y + 2z −1/2 = cos(3) − x

Find the Equation of the plane

Find the equation of the plane which contains the point ( 2/3, −1, 3) and has normalvector 3i − 2j + 9k. Also, find another two points on this plane which are differentfrom ( 2/3, −1, 3).

01/08/16

Vertex form is y = a(x - h)^2 + k. If a quadratic function has the vertex form of y = 3(x + 7)^2 - 2

then what is the reflection point for the y-intercept? (Hint: After you calculate the y-intercept, reflect the point in the axis of symmetry.) Remember to type your point in the form (x,y) without... more

01/08/16

Vertex form is y = a(x - h)^2 + k. How do you write the quadratic function y = -3x^2 + 18x + 7 in vertex form?

Vertex form is y = a(x - h)^2 + k. How do you write the quadratic function y = -3x^2 + 18x + 7 in vertex form? A.  y = -3(x + 3)^2 - 74B.  y = 18(x - 3)^2 + 7C.  y = -3(x + 3)^2 + 7D.  y = 3(x -... more

01/07/16

solving trigonometric equation

How would you solve the following trigonometric equation:   5sin^2  x +3sinx =2  -360<O<360 for the first part the sine is being squared by 2 and the whole part ( 5sin^2) is being... more

01/07/16

Exponential functions

Determine the equation of the exponential function whose graph contains points (-1,3) and (2,8/9)

01/07/16

Solving expotential equation

how to solve the following equation for x   4(7^x+2)=9^2x-3  

01/07/16

Differentiation problem

Prove that  Y=H^(7x2 +3x +2) Is the solution of the differentiation equation (14x+3) Y' - Y'' = 14Y

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