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1.) y = -3/4x^2 + 6x + 6
2.) y = 1/2x^2 + 2x - 8
Label the Vertex and the Axis of symmetry
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)
Rate related problems and Determine the general expression for the car's acceleration at any time t, and show that car is decelerating 2(2/3) seconds after starting from rest.
When n is a positive integer by using mathematical induction and the formula of d/dz[f(z)g(z)]=f(z)g'(z)+f'(z)g(z) for the derivative of the product of 2 functions.
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Probability Average sale of product is 87,000 on a normal curve with a standard deviation of 4,000. What is the probability that sales will be less
State null & alternative hypotheses
Solve the following linear system using Gaussian elimination. Solve the following linear system using Gaussian elimination.
Suppose that a tribal culture was discovered in the South Pacific whose language consists of only eight letters
Estimate all the stationary points
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
In S(5) let pi=(245)(1354)(125). Write pi as a product of disjoint cycles and then answer the following questions. Determine pi^2, pi^5, pi^(-1).
Prove that there exists only one 4-regular maximal planar graph. Can you explain it step by step? Draw the graph please.
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