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There are two lines through the point (2,-3) that are tangent to y=x²+x. Find the x-coordinates of the points where these lines touch the parabola.
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ). (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)
Calculate the real part and the imaginary part of the complex polynomial p(z)= z^3-3z. Do the same for q(z)=(|z|^2)z + zbar. (here, z= x +iy, x,y belgon to R)
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
A 2 mile cab ride costs $1.70. A 7 mile cab ride cost $3.70. Find a linear equation that models cost as a function of distance.
uppose one person sends a letter to eight people, and the following week those eight people send a letter to eight other people. If this pattern continues, how many letters will be sent out on the sixth week?
A rectangular Piece of land is 70ft longer than it is wide. Each diagonal between opposite corners is 130ft. What are the dimensions of the parcel?
Suppose the farmer buys insurance for $3000 that pays him $20,000 in the event of a severe storm that destroys much of the crop, and pays nothing otherwise. Find the probability distribution of his profit . Find the mean, and summarize the effect ..
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
Plot the value of each strategy over time for a single interaction of the simulation. What is the total value of each strategy after six years? Do either of the strategies reach the target?
Construct a truth table for given relation - Construct a truth table for each of the following
A trapezoid with bases 4 m and 8 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate..
Determine the equation of the Straight line from the given data - Find the equation of the indicated curve, subject to the given conditions, Sketch the curve
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