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a chemist needs 130 milliliters of a 68% solution but only has 33% and 98% solutions available. find how many milliliters of each that should be mixed to get the desired solution.
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
dimensions of a rectangle where its length is 11 more than its width. If the lenght was doubled and width decreased by 5 the area would be increased by 72 in squared what are the length and side eimdension.
To test this claim, a psychologist administers the WISC (an IQ score for children) to a group of students before and after completing the training program. Analyze the data to test the entrepreneur's claim
a carpenter is building a rectangular room with a fixed perimeter of 104 ft. what dimensions would yield the maximum area? what is the maximum area?
Find the solution of the following equations: Use the Euler method with the step size shown to advance four steps from the given initial condition with the given differential equation:
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1. Use "t" as your variable, t = 0 should correspond to P
Factorize the given expression - Evaluate the perfect square
What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters
A circular spa has a diameter of 12 feet. The spa is decorated with 4-inch porcelain tiles around the rim. How many tiles suround the spa?
the volume of a cone with a height of 18 millimeters is 471 cubic millimeters. find the area of the base to the nearest tenth.
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