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Basic Algebra

Jacobian of a 3-component mapping with two independent variables

I have the map f(u,v) = (2u/(1 + u^2 + v^2), 2v/(1 + u^2 + v^2), (1 - u^2 - v^2)/(1 + u^2 + v^2)), and I need help showing that the Jacobian J of this map satisfies the condition that the ijth entry of (J^T)J is given by 4/[(1 + u^2 + v^2)^2] D_{ij} where D_{ij} is the Kronecker delta.

32 Algebra Problems : Simplify, Solve for X and Word Problems

1. Multiply Simplify your answer 2. Simplify your answer. Type a fraction or an integer. Type N if the root is not a real number. 3. Subtract. Simplify by collecting like radical terms if possible. Simplify your answer. Type an exact answer, using radicals as needed. 4. Multiply and simplify. Type exponen

Quadratic Equation

(x - 13^2)= 20 give an exact and approximate solution to 3 decimal places


Log(5*6)=log(5)*log(6) is that a true statement,show your calculations

Exponential growth function

First-class postage (for the first ounce) was $.20 in 1981 and $.37 in 2002. Assume the cost increases according to an exponential growth function. A) Let t=0 correspond to 1981 and t=21 correspond to 2002. Then t is the number of years since 1981. Use the data points (0,20) and (21,37) to find the exponential growth rate

Gauss-Jordan Elimination

4x(1) + 5x(2) + 2x(3) = 11 2x(2) + 3x(3) - 4x(4) = -2 2x(1) + x(2) + 3x(4) = 12 x(1) + x(3) + x(4) = 9 Using a Gauss-Jordan Elimination process, x (1) =

Cost of cleaning pollution

Please help answer the following basic algebra problem. Provide step by step calculations. The cost in dollars of removing p% of the pollutants from the water in a small lake is given by: C = 125,000 p / 100 - p Where 0 < p < 100, C is the cost, and p is the percentage of pollution removed. (a) find the cost of elim

Relative extrema

Find all relative extrema of the following function: f(x) = x^3 - 6x^2 +15

Find x by antidifferentiating twice

F"(x)=5x^4/5 f(x)= (use C as the arbitrary constant for the first antiderivative and K as the arbitrary constant for the second antiderivative)

Line Equations : Why choose a point off the line to define a different equation?

The equation doesn't change just because you choose different points. If those points are both on the line, then generating an equation from those two points will have to result in the same line being graphed. A line stretches forever in both directions. In order for a different graph to appear, at least one point must be off t

Conic Sections : Vertices, Centers and Asymptotes

Please see the attached file for the fully formatted problems. 1. Solve the system of equations algebraically. Be sure to find all solutions! X^2+y^2=10 2x^2-y^2=17 I got not sure if it's right or missing x=2.999999976132 Y=0.999999870315 2. Find the coefficient of the term x^5 y^3 in the expansion of (4x

Word problems on Equations

(1) To find a number which tells what person in a row (if no more than 9 people are in a row) is wearing a ring on which joint of which finger, double the number of the person in the row, add 5, multiply by 5, add the number of the finger, multiply by 10, add the number of the finger joint and subtract 250. The hundreds digit te

Steve's Fishing Trip

Please see attachment. Steve has just returned from salmon fishing. He was lucky on this trip and brought home two salmon. Steve's wife, Wendy disapproves of fishing, and to discourage Steve from further fishing trips, she has presented him with the following cost data. The cost per fishing trip is based on an average of 10 f

20 Problems : Graphs, Quadratic Equations and Word Problems

Please see the attached file for the fully formatted problems. 1. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. F(x) = The vertex is ? Type an ordered pair. The line of symmetry is 2. Solve (b) Find the x-intercepts of f(x) = 3. Find t


See attached For the following functions, find (a) (fg)(x) and (b) (fg)(-3) f(x)=


Hello could anybody help me with this two problems. I had 10 problems but I am not able to do thsi two.

Operations and Production Time

Problem 2: A product under development took 135 hours for the production of its first unit. Assuming a curve of 90%: How long will it take to produce the 35th unit? How long will it take to produce a total of 60 units?

The answer to Several algebra Word problems

9.1 #108. 108. Comparing wind chills. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind. 9.2 #132. Top bond fund. An investment of $10,000 in the Emerging Country Debt Fund in 2001 was worth $24,780 in 2

11 Algebra Problems : Solve, Correlate like Terms and Graphing Inequalities

1.) Solve using the multiplication principle. Don't forget to perform a check. -1/6x = -9/10 The solution is_____. (Simplify your answer. Type an integer or a fraction.) 2.) Collect like terms. 17r + 4s - 11r - 9s =_____________. 3.) 4 > -3x + 3 or 10 &#8804; -5x + 3 4.) Solve using the multiplication principle. -7x > 1/1

Forming quadratic equations from a graph

The problem in question is attached because there is a graph involved. Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.

Polynomials, area, measurement, and data

1. Factor the following expressions: a.3a + 9b + ay -az c.4a + 8b + 12c d.-2x -4y e.5m - 15n 2.Evaluate the expressions when x=3 and y=8 a.x + 2y b.-4(y - x) c.x - y d.2x + 3y e.y - 2(x+y) 3.Find the cost per ounce of each of the following sets of products, and tell which one is the

Quadratic Equations and Functions

Please help with the attached problems Use square root property to solve each equation.. Add proper constant to each binomial so that the resulting trinomial is a perfect square then factor the trinomial Use quadratic to solve equation with real number solutions

Radicals and equations

Please see attachment. Write the following expression in simplified radical form. Find the roots of the quadratic equation: Compute the value of the discriminant and give the number of real solutions to the quadratic equation Solve the following equation for by using the quadratic formula: Find the -intercep