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In triangle ABC, a = 8, b = 9, and m<C = 135 degree. What is the area of triangle ABC?
The current in a circuit is i = 2.00 cos 100t. Find the voltage across a 100-microfarad(uF) capacitor after 0.200 s, if the initial voltage is Zero (one microfarad(uF)=10 to the power of -6 F).
Find whether x=3 is a local maximum or a local minimum and Sketch the graph - Sketch possible graphs for all four cases.
Determine the exact value of cos (α - β)- terminal side in the second quadrant
Linear Mappings, Differentiation and Linear Spaces, If l is a nonzero scalar linear function on linear space X (which may be finite or infinite) and a is an arbitrary scalar, there exists a vector x in X st l(x)=a
Using units, explain what each means in terms of the sand dune.
Suppose A is an m×n matrix and B is the n×m matrix obtained by rotating A ninety degrees clockwise on paper ( not exactly a standard mathematical transformation!). Do A and B have the same singular values? Prove that the answer is yes or give a co..
Shane invests $38,000 in bonds that earn simple interest of 3%. The interest is payable at the maturity of the bonds after 5 years. Find the total amount that Shane will receive at the end of 5 years.
What will your total payment be over the life of the loan? What are the pros and cons of doing this consolidation?
A machine produces widgets at a defective rate of 10%. A sample of 5 widgets is taken, What is the probability that less than 2 of them are defective?
Using the washer method, find the volume of the solid generated when the region bounded by the curves y=(square root of)x and y=x^2 is revolved about the x-axis.
Calculate the ratio of the area to the volume for a unit cube, a unit sphere inscribed inside the cube, and a right cylinder inscribed inside the cube.
Solve the system of equations-Solve systems of equations with two and three variables.
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