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    Basic Algebra

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    Simplify / Reduce the Expression (Radicals)

    Simplify the following expression: (see attachment) Hint: The first step is to make the radical a perfect cube (so that exponent equals index) so as to eliminate the radical from the denominator. Note: A radical expression of index n is in simplified form if it has: ? no perfect nth powers as factors of the radicand ?

    Law of Exponents (CD; Annual Rate of Return)

    Ronnie invested P dollars in a 2-year CD with an annual rate of return of r. After the CD rolled over two times, its value was P((1+r)2)3. Which law of exponents can be used to simplify the expression? Simplify the expression.

    Evaluate: Travel Time

    Question: After leaving moose jaw, Hanson drove 200 kilometers at x km/hr and then decreased his speed by 20 km/hr and drove 240 additional kilometers. Make a table by writing a rational expression for his total traveling time. Evaluate the expression for x=100.

    Square Root Problems

    I need help finding the solution to the following problem: The square root of X, plus the square root of (X-1) = 7 Solve for X

    Algebra Equations Graphing

    May I have step by step solutions to help me. thank you! I have the questions below as well as an attached word and pdf file. 1. Graph each equation to find the solution of the system. x - 2y = 4 2x + y = 6 2. Draw a line on the grid (the Cartesian plane) so that the system of no equations has NO solution. 3. Darle

    Estimate the price of a copper and its concentration

    Extracting metals from ore: Thomas Sherwood studied the relationship between the concentration of a metal in commercial ore and the price of the metal. The accompanying graph shows the Sherwood plot with the locations of several metals marked. Even though the scales on this graph are not typical, the graph can be read in the sam

    Gradients of vectors expressions

    See attached file for full problem description. f = r.k/|r^3| What is the gradient of f? Show that for vectors v and r and constant vector a we get: if v=(a.r)r Div(v) = 4(a.r) Curl(v) = a x r

    Inequalities

    Solve inequality^and state solution set using interval notation: x2 + x > 0

    Polynomial Interpolation Question

    16. Let P_2(x) be the quadratic polynomial interpolating f(x) at the evenly space point x_0, x_1 = x_0 + h, x_2 = x_0 + 2h. Derive formulas for the error: f'(x_i) - P'_2(x_i), i = not zero, 1, 2 Assume f(x) is three times continuously differentiable, give commutable bounds for these errors. Hint: use the error formula

    Newton-Raphson

    I need to solve a system of vector loop equations, using the Newton-Raphson method and find the (x,y) coordinates of the coupler point. This problem (NEW ATTACHMENT) is listed in "Applied Numerical Methods for Engineers and Scientists" by Singiresu S. Rao: problem 2.3, page 139.

    Polynomial Interpolation - Newton's method

    (i) Use the tabulated data and Newton's method of divided differences to (a) calculate the degree three interpolating polynomial based on x_0, x_1, x_2, x_3 and (b) calculate the degree four interpolating polynomial based on x_0, x_1, x_2, x_3, x_4. x_k || 0 | -1 | 1 | 3 | 2 y_k || 5 | 15 | 3 | 47 | 9 (Use exact arithmeti

    Understanding Alegbra.

    I am having diffilculties understanding the whole concept of Real Numbers and Their Properties, Real Numbers, Fractions, Addition and Subtraction of Real Numbers, Exponential Expressions and the Order of Operations, Properties of the Real Numbers and Using the Properties to Simplify Expressions. What I need is a break-down of th

    Spherically Symmetric Solution to the Helmholtz Equation

    Please see the attached file for the fully formatted problems. Consider the inhomogeneous Helmholz equation in spherical coordinates.... ... FIND that solution to this equation which (i) is spherically symmetric, i.e. independent of theta and phi. (ii) is finite at ... (iii) expresses an outgoing wave i.e. ... at large (