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Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1. Round answer to three decimal places.
Find the probability that they will have a rating between 230 and 260
Discuss an example of a way you use, or can use, a system of equations in your life? Describe a situation where a system of equations has no solution, and prove it mathematically.
The "origin" of cartesian plane in math is the point where x and y are both zero. Provided a variable, origin of type Point, a structured type with two fields, x and y, both of type double.
To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled.
Statistics - Probability, A professional chef's work responsibilities include creating new dishes, shopping for ingredients and cooking the meals. On Friday, Justin, a professional chef, spent 2 hours shopping for ingredients
Probability: Working with the standard distribution curve. A company installs 5000 light bulbs, each with an average life of 500 hours and a standard deviation of 100 hours, and a distribution approximated by a normal curve
Find the inverse of the matrix.
Showing all working, solve the following pair of simultaneous equations for i1 and i2, expressing the answers to exact whole numbers:
Show that the functions 1, x and cosx are orthogonal on the interval -(pi)
Given that the y-intercept of a line is (0,-5) and the slope is 1/3, find the equation of the line in slope-intercept form. What is the x-intercept?
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
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