05/05/13

Find the area of the triangle?

Find the area of the triangle with vertices A(2, 1), B(5, 3), and C(6, 4).

05/04/13

Find the mass of the plate with density?

Find the mass of the plate with density p(x, y)=ky, where k is a positive constant and R is the region bounded by y=x^2 and x=y^2.

05/04/13

Evaluate the double integral?

Evaluate the double integral from 0 to 1 and x^2 to 1 of (x^3)(sin(y^3)) dy dx by reversing the order of integration. I know how to solve the integral, I just don't know how to set up the new... more

05/02/13

Find the maximal value of f(x, y)?

Find the maximal value of f(x, y)=3y+4x on the circle x^2+y^2=1.

05/01/13

Find (d^2*z)/(dx^2)+(d^2*z)/(dy^2).

z=(e^x)(cos(y)). Find (d^2*z)/(dx^2)+(d^2*z)/(dy^2).

05/01/13

3 adults and 2 children purchase movie tickets totalling $32.25. What were the costs for adult and children tickets?

A family of 5 (2 adults & 3 children) go to the movies and they pay $27.75. The group of 5 behind them (3 adults & 2 children) pay 32.25. Figure the cost per adult and per child. Show your... more

05/01/13

Find all real-number solutions: x^3-5x^2+8x-4=0

find all real-number solutions 

04/29/13

determine how many solution exist

< = angles determine how many solution exist <A = 84 , a = 25 , b=15Solutions ----< B = __ <C = ___ c=__<B= __ <C=__ c=__

04/29/13

how many solution exist

< = angles determine how many solution exist <A = 65 , a = 10 , b=20Solutions ----< B = __ <C = ___ c=__<B= __ <C=__ c=__

04/29/13

four cards are drawn in succession and without replacement from a standard deck of 52 cards. How many sets of four cards are possible?

answer options are 270,725 54,145 121,431 1,082,900 6,497,400

calculus question......

the position function s of a point is given by two dimensional quantities  where t in seconds and the y direction is affected by gravity (10m/s/s). y(t)=4t*sin(θ) - 5t2       &      ... more

04/28/13

given that f(x) = sin(x), show that f(x+h)-f(x)/h = sinx(cos(h)-1/h) + cos(x)(sin(h)/h)

given that f(x) = sin(x), show that f(x+h)-f(x)/h = sinx(cos(h)-1/h) + cos(x)(sin(h)/h) precal question  

04/28/13

use a double angle and half angle identity

write Cos^2(x/2) - Sin(2x) in terms of Sin(x) and Cos(X) . ((hint use a double angle and half angle identity ))

04/28/13

Let z=(x^2+y^2)^(3/2).

Let z=(x^2+y^2)^(3/2). What is (d^2*z)/(dx*dy) at (sqrt(2), sqrt(2))? dz/dy=3y(x^2+y^2)^(1/2) d/dx=3x(x^2+y^2)^(1/2) What should I do next?

04/28/13

Find the limit?

Find lim as (x, y)--->(0, 0) for (8x^2*y^2)/(x^4+y^4). lim as (0, y)--->(0, 0) =0/y^4=0 lim as (x, 0)--->(0, 0) =0/x^4=0 The limit is 0, right? But doesn't exist is the answer for this... more

04/27/13

Let aT be the tangential component of the acceleration?

Let aT be the tangential component of the acceleration vector of r(t)=<t-sin(t), 1-cos(t), 0>. What is (aT)^2 at t=pi/2? r'(t)=<1-cos(t), sin(t), 0> r''(t)=<sin(t), cos(t),... more

04/27/13

equation of the line

find the equation of the line passes through the point (1,-4) and parallel to the line with equation 3x-4y=12

(x-8) less than or equal to [ (40/(x+4)) - (90/(x+5)) solve for x

Another one is (6x-5 ) < (6/x)   Do you solve for x on these the way that you would if it were an equal sign rather than <> signs?

04/26/13

Let a=<2, 3, 1> and b=<-2, 5, -3>?

Let a=<2, 3, 1> and b=<-2, 5, -3>. Find the absolute value of a+b.  

04/26/13

If a bank compounds continuously, then the formula used is A = Pe rt where e

If a bank compounds continuously, then the formula used is A = Pe rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round your answer to the nearest... more

04/25/13

Find the Cartesian equation for the curve?

Find the Cartesian equation for the curve described by the polar equation r=1/(1-sin(theta)).

04/25/13

What is the y-component of r(pi/2)?

If r'(t)=<sin(t), -cos(t), 2t> and r(0)=<1, 1, 2>. What is the y-component of r(pi/2)? r(t)=<-cos(t), -sin(t), t^2> r(pi/2)=-1 So -1 is the answer?

04/24/13

Describe the transformation on the graph of f(x) = log(x)

g(x) = - log(x) + 2 Description of transformation: Equation(s) for the vertical asymptote(s): x-intercept in (x,y) form: The line does not cross over the x-axis so I'm lost with this problem;... more

04/23/13

Find the domain of r(t)?

Find the domain of r(t)=<sqrt(t^2), 1/(t-1), ln(t+1)>. Answer: (-1, 1)U(1, positive infinity) But how do you figure this out?

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