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    Basic Algebra

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    Radicals and Rational Exponents

    Radical and rational exponent notation are two ways to show the same process. ? Explain the similarities between radicals and rational exponent notation. ? Provide at least two other examples of mathematical notation or wording denoting the same process.

    Algebra : Solving Equations and Inequalities

    1) What is the solution for x (7x+1)/11=(10x-12)/6 2) What it the solution for x 2<1-4x greater or = to 8 3) Completely factored form 6x^2+21x-12 4) What it the solution for x X^2+4x-12=0 5) What it the solution for x 6x^2+8x=-1 6) What is the slope of the line between these two points (8,1) (-2,5) 7) Fi

    Radical and Rational Exponent Notation

    Radical and rational exponent notation are two ways to show the same process. Explain the similarities between radicals and rational exponent notation. Provide at least two other examples of mathematical notation or wording denoting the same process.

    Solving a linear first order differential equation

    Please help me solve this equation. I worked it out but am not sure of my answer or if I can simplify it. I used the four step method of solving a linear first order equation, so if you could solve it in the same manner, it would be appreciated. Thank you. (t+1)ds/dt +2s=3(t+1) + 1/(t+1)^2

    Product of Two Infinite Exponential Series

    Prove the following product explicitly using infinite series expressions: Here inf = infinity ( Sum_{k=0}^inf u^k/k! ) ( Sum_{l=0}^inf v^l/l! ) = Sum_{m=0}^inf (u+v)^m/m! Please see the attached file for the fully formatted problems.

    Find the Estimated Weight

    SPERM WHALE HAS THE HEAVIEST BRAIN, REACHING 9200 GRAMS THE BRAIN OF AN ELEPHANT WEIGHS 7500 AND A WHEAL BRAIN WHICH WEIGHTS 7185 GRAMS, AND EACH HALF OF ITS BRAIN WIGHS THE SAME AMOUNT AS THE OTHER, WHICH IS THE BEST ESTIMATE OF THE WEIGHT, IN KILOGRAMS

    Algebra : Solve for X and Word Problems

    An average human hair grows about 1/2 inch per month. How much does a human hair grow in 3 1/2 months? Chabely is getting ready for a backpacking trip. She packs 4 2/3 lbs of food and 5 1/8 lbs of eqiment into an 2 14 lbs backpack. What is the total weight she will be carrying? Evaluate 7/8+5/6x Solve the equatio

    College Algebra : Application Ratio and Proportion Word Problems

    The weight of an object varies inversely as the square of its distance from the center of the earth. If an object 8,000 miles from the center of the earth weighs 90 pounds, find its weight when it is 12,000 miles from the center of the earth. Please see the attached file for the fully formatted problems.

    Logarithmic functions on word problems

    This problem set is comprised of 8 questions involving logarithmic functions. Complete description of the problem can be found in the attached pdf file. 1. Question involves log to the base of 10 2. Question involves log to the base of 2 3. Question involves finding Decibel Levels 4. Word problem on Earthquake Intensity

    Steady-State Error

    Consider the following system in Fig.1 (see attached file). Determine K so that the steady state error for unit step input is zero.

    Quadratic Functions : Solving, Factoring anf Applications

    1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks: a) Solve by factoring. b) Solve by completing the square. c) Solve by using the quadratic formula. 2) For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is the l

    Quadratic Equations: Discriminants and Imaginary (Complex) Numbers

    When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. ) Explain what the value

    Cobb-Douglas Economics

    1. Let Y=L^αK^1-α, 0<α<1; let y=lnY, l=lnL, k=lnK. a.Show that this production function is linear in its natural logarithms. b.Show that the instantaneous percentage change in out put is the weighted sum of the instantaneous change in L and K, with weights α and (1-α) 2. Suppose that the production function in Questio

    Integral Calculus : Inverse function of limited quadratic equation.

    F(x) = 2x^2 - 8x, where x = or > 2 Even though I know that this particular quadratic equation does have an inverse since the domain is limited, I don't know how to figure out the formula for the inverse for a quadratic equation. I don't know how to solve for x, since there are two different x's. Thank you!

    Calculate the discriminant

    5. For a quadratic equation of the form, ax2 + bx + c = 0, how do you calculate the discriminant? What information about the equation can we learn by calculating the discriminant?