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A thin plate occupies the region x2/4 + y2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x2 + y2 - 5y + 5, find the coldest and hottest points on the plate.
Solve using the substitution method.5x + 3y = 2x = 6 - 2y
Compute the relative growth rate.
Using formula A=Pe^rt How long would it take to double your money if you start with a principle of 2000 at 8% interest with continuous compounding. Round to the nearest hundredth's place.
Find the vertex and axis of symmetry.
To solve the quartic equation, one of the approaches is to seek squares on both sides. For example, to find x, in ax^4+bx^2+cx=d.
Solve the quadratic and algebraic expressions
Make the following equations in exponential form
Using rules of absolute value function.
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?
Determine the dot product.
Evaluating the value.
Solving the transformation of exponential model functions.
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