A rectangular play yard is to be constructed along the side of a house by erecting a fence on three sides, using house wall as the fourth wall. Find the demensions that produce the play yard of maximum area if 20 meters of fence is available for the project. What are the dimensions of an aluminum can that can hold 28 ounces
The population of a town will double in t= 10ln 2 / ln 67 - ln 50 Find t.
1/2[ln z + ln(z-8)]
Use the properties of exponents to condense the expression to the logarithm of a single quantity. ln y - 51n(y+3)
If a parametric surface given by {see attachment} has surface area equal to 5, what is the surface area of the parametric surface given by {see attachment}?
Write as the logarithm of a single quantity: 4log(10) x-5log(10) (x-4). The "10's" represent the mathematical form that is suppose to be on the lower write side of each log.
Evaluate the expression log(4) 64. The 4 is suppose to be on the lower right side of log.
Find the domain of the function: 3 + ln(x - 1)
Find the range of f(x) =3-e^x?
X squared + 10x - 9 = 0
I am trying to solve for P lower squared (lower 2) P lower 1 V lower 1/T lower 1 = P lower 2 V lower 2/T lower 2
3x(2x + 1) = 18
x to the third - 9x = 0.
2t² - 6t + 1 = 0
Author's explanation of a Lorenz curve: Economists use a cumulative distribution called a Lorenz curve to describe the distribution of income between households in a given country. Typically, a Lorenz curve is defined on [0,1] with endpoints (0,0) and (1,1) and is continuous, increasing, and concave upward. The points on this cu
Derive all the weights for closed Newton-Cotes formula. Please see attached for full question.
What is the difference between a sample and a sampling?
1 (a) Consider the function values... Consider a polynomial P(x) of least degree (the osculating polynomial) through the points xi=x0+i*h, i.e. polynomial that satisfies P(x0)=f0, P(x1)=f1, P'(x1)=f'(x1), P(x2)=f2 (b) Prove that df(x1)/dx = dP(x1)/dx for any smooth function f(x) (c) Construct the polynomial P(x) for the
Please solve by completing the square: 2x^2 + x - 6 = 0
The formula Q = 3.32LH^3/2 is used to find the maximum water discharge over a spillway before the water overflows the main part of the dam. Q is the discharge in cubic feet per second, L is the length of the spillway, and H is the depth of the spillway below the level of the dam. Find H when Q is 3000 cu. ft. per second and L =
Find the order of the element. Please see attached for full question.
When solving a 3 3 determinant I broke the determinant down into a sequence of 2 2 determinants, remembering to alternate the signs of the leading coefficients in front of the smaller determinants. By extension, how might I calculate a 4 4 determinant? Please show all work thoroughly. Also, what is the advantage of
A graphic artist is designing a poster that consists of a rectangular print with a uniform border. The print is to be twice as tall as it is wide, and the border is 3 inches wide. If the area of the poster is to be 680 square inches, find the dimensions of the print. The foot of an extension ladder is 9 feet from the base
1.) Divide: 5x^2y^5z67+8xyz/2x^3yz^2 2.) Solve by completing the square: x^2 +12x = 3 3.) Solve using the quadratic formula: 3t^2 - 9t = 4 4.) Solve by the factoring method: 21p^2 - 36p = 9.
1.)The ratio of strawberry ice cream lovers to vanilla is 9 to 5. If there are 144 more strawberry ice cream lovers than vanilla, how many of each are there? 2.) Find the LCD and convert each rational expression into an equivalent rational expression with the LCD as the denominator: 4/15xy^2, 3x/6y 3.) Simplify and writ
How to solve for the variable "X" The following problems have tripped me up. I can't seem to figure out how to solve them. I've tried, several times, and had my algebra teacher explain them, but I still can't get the answers. 3x - 11 = 6 2x - 7 = 3 + x 3 + 3x = 9 + 2x 3x - 3
Does the ring Z (integer) contain any ideals that are prime but not maximal? If so, give an example. If not, give a proof.
For your information, Theorem 29.3 (Kronecker's Theorem): Let F be a field and let f(x) be a non-constant polynomial in F[x]. Then there exists an extention field E of F and an alpha in E such that f(alpha) = 0 Theorem 29.18: Let E be a simple extension F(alpha) of a field F, and let alpha be algebraic over F. Let
Suppose X and Y are continuous random variable, X and Y are independent and that x>0 and y>0. The pdf of X is Fx(X) and the pdf of Y is Fy(Y). Find the expressions for the density function of Z in terms of fx and fy, if... a) Z=X/Y b) Z=XY
I am trying to find a polynomial that represents the area if the square has a side length of 1.732x + 1.414 meters.