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1) Find the vertex of the parabola f(x) = x2 - 8x + 51
2) Solve the equation: x2 + x - 20 = 0
3) Solve the equation: 3x3 + 4x2 - 3x - 23 = 0
4) Let f(x) = x2 + x + 2 and g(x) = 3x - 5. Compute g (f (4))
evaluate the derivative of the given function by using the definition of derivative.find the derivative of the
A condo in Orange Beach, Alabama, listed for $1.4 million with 20% down and financing at 5% for 30 years. What is the monthly payment?
The successful implementation of the strategic management plan in a large corporation like Dish is highly reliant on measurement and evaluation efforts during and after the implementation phase.
A train starting at noon, travels east at 50 mph while another train leaves an hour later from the same point traveling north at 90 mph. How fast are the trains moving at 3 pm?
Find the area of the triangle POR with vertices P(-2,4,1),Q(3,1,-1),R(-1,2,-2).
The monthly charge for a waste collection serive is $32 for 100 kg of waste and $48 for 180 kg of waste. Find a linear formula for the cost, C, of waste collection as a function of the number of kilograms of waste, w.
Annual profit in thousands of dollars is given by the function, P(x) = 100vx-5 + 3,000, where x is the number of items sold in thousands, x = 5. Describe the meaning of the number 5 in the formula.
Find the second derivative of f(x)=([d]x+[b])4 and evaluate it at x=3. Find the equation of the line tangent to the following curve at x = 1. Write your answer in y = mx + b format.
question1 can the mean absolute deviation ever be negative? why or why not?question2 consider the sample of
Consider the field F2 = {0,1}, with addition defined by a+b = (a + b)mod2 and multiplication defined by ab = (ab)mod2. Let V be the vector space over F2 consisting of all ordered pairs (v, w) where v, w ∈ F2. How many linear transformations are..
A certain city block is in the form of a parallelogram. Two of its sides measure 32 ft. and 41 ft. If the area of the land in the block is 656 square feet, what is the length of its longer diagonal?
Derive the first six terms of the Taylor series about t = 0 of the solution to equation with initial conditions 0(θ) = Π/12, θ'(0) = 0 and solve equation subject to the same initial conditions θ(0) = Π/12, θ'(0) = 0 and the same coordinate axes, grap..
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