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    Basic Algebra

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    How to Graph Inequalities

    Graph {x/ x >/ -3} upside down U {x / x >/ 0}. The symbol beside the x should be a straight line, and the less than sign should have a bar under it. I did not know how to key these symbols.

    Torus surface area

    See attached file for full problem description. A torus of radius 10 (and cross cross-sectional radius 1) can be represented parametrically by the function r: where D is the rectangle given by 0 <= theta <=2pi,

    Algebra problems

    Simplify the expressions:( 54b4 x4 1/3) ( ___________), (6ax4)2 (2x)-2, 5y 4b 16bx2 ___ + ____ axy2 b

    Distance Between Points and Midpoint

    Find the distance between each pair of points. If necessary round answers to two decimal places. (2 square root of 3, square root 6) and (- square root of 3, 5 square root of 6) ___________________ Find the midpoint of each line segment with the given endpoints. (-4, -7) and (1, -3)

    Basic Algebra : Graphing

    3) x -2 -1 0 1 2 y .25 .5 1 2 4 Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. Graph Graph Type Explanation D

    Weighted Means Functions

    Please see the attached file for the fully formatted problems. Let and be positive numbers such that Show that

    Quadratic Equations and Functions (10 Problems)

    4. 2 Solve 36x + 49 = 0 2 b. Find the x-intercepts of f(x) = 36x + 49. Solve. Give the exact solution and approximate solutions to three decimal places, when appropriate. 2 6. 3x - 7 = 0 2 16. (t-2) = 25

    Radical Expressions, Equations and Functions

    Please see the attached file for the fully formatted problems. Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. 14 9 23 20. so it should like this p q r I just didn't know how to d

    Derive an Expression for the Closed Loop Transfer Function

    Derive an expression for the closed loop transfer function: h(s) = Y(s) ---- R(s) for a gain k = 10. Work i have done so far: Ea(s) = R(s) - B(s) = R(s) - H(s)Y(s) Because the output is related to the actuating signal by G(s), we have Y(s) = G(s) Ea(s) Therefore: Y(s) = G(

    Irreducible Palindromic Polynomials, Reducible and Irreducible

    3.- a) Determine the number of polynomials f(x) of degree 6 over for which f(1)=1 and f(0)=1. b) Determine the number of polynomials of degree 6 over that are reducible but have no linear factors. How this is possible, please can you explain this? Hint Consider the possible factorizations. c) Determine

    Logarithmic Equations Word Problems and Loudness of Sound

    The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear. Using the Library, web resources, and other course material, research how sound is measured. Include the following items in your posting: The formula for meas

    Algebra

    Solve and graph 52. [8x - 3(3x + 2)] - 5 > = 3(x + 4) - 2x Solve: 25. Elaine's height is 67in. Determine, in terms of an inequality, those weights W that will keep her body mass index below 25. 76. A long-distance telephone call using Down East Calling costs 10 cents for the first minute and 8 cents for each additional

    Work done in moving a rock.

    A rock with a mass of 1 kilograms is put aboard an airplane in New York City and flown to Boston. How much work does the gravitational field of the earth do on the rock? I think the gravitational field G needs to be factored in.

    Determine in terms of an inequalities

    Inequality Calculations. See attached file for full problem description. 9.1 52. [8x - 3(3x + 2)] - 5 ≥ 3(x + 4) - 2x First distribute it into the parenthesis, then move x into the left side of the inequality. Remember to change the sign if a negative number is multiplied or divided. 72. Elaine's height is 67 in.

    Explain an advantage of rational exponents over the radical sign.

    While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.

    Discriminants and Quadratic Equations

    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. Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx +

    L'Hopital's Rule, Infinite and Zero Powers and Limits

    Many students incorrectly evaluate the indeterminate forms of type 0^0 , type &#8734;^0 , and type 1^&#8734; as 1 because they think that "anything to the zero power is 1" and "1 to any power is 1." These rules are indeed true for powers of numbers. But 00 , &#8734;0 , and 1&#8734; are not powers of numbers but descriptions of l

    Algebra Word Problems

    The length of a rectangle is two less than three times the width. If the area is 373.75 ft^2 find the width.

    Examples of graphs: line, parabola, hyperbola, exponential

    Using the Library, web resources, and other course materials, find a real-life application of each graph. Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph.

    Network Diagram Depicting the Various Activities in the Project

    Recently, you were assigned to manage a project for your company. You have constructed a network diagram depicting the various activities in the project (figure 3.15). In addition, you have asked your team to estimate the amount of time that they would expect their activities to take. Their responses are shown in the following t

    Power Series : Convergence and Divergence

    1. Suppose that converges when x= -4 and diverges when x = 6. What can be said about the convergence or divergence of the following series? 2. Suppose that the power series 3. Suppose that the series Please see the attached file for the fully formatted problems.