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The fifth derivative of f(x) satisfies |f^(s)(x)| less than or equal to 25000 for all x in [0.8, 1.1].
Maximum Modulus Principle: Let U be a non-empty open subset of the complex numbers C, let D(z0,r)={z ? C: |z-z0| = r}
The electric power generated by a windmill varies jointly with the square of the diameter of the area swept out by the blades.
Sometimes you need to read a linear equation and determine the slope of a lone from the equation.
An initial investment of $1000 is appreciated for 8 years in an account that earns 9% interest, compounded annually.
A company makes three products X, Y and Z. Each product requires processing by three machines A, B and C. The time required to produce one unit of each product
Under what condition would the zeros of the given function be two distinct real values?
Describe the mathematics used to solve each of these problems (you do not need to supply proofs).
A horseshoe is thrown upward from a initial height of 60 feet with a initial velocity of 40 feet per second. How long after the horseshoe is projected upward.
A student will find a problem graphing the line using any two points, with the intercepts being the most obvious.
The formula A=P(1+r)2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal).
Find the gradient of the function f : x^2y/ z at the point M(-2;3;4). What is the directional derivative of this function in the direction of vector
Identify the degree of each term of the polynomial and the degree of the polynomial.
Identify whether the slope is positive, negative, zero, or undefined.
The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 75 feet per second is a function of the time (t)
Solve the system of linear equations by substitution.Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section
The volume (v) of a gas varies directly as the temperature (t) and inversely as the pressure (p). If v=56 when t=308 and p=22, find v when t = 270 and p=18.
The minimum value.Let I be an interval in R and assume f : I?R is twice differentiable at all points of I. Suppose that a?I, f'(a) = 0
Jack and Jill went up the hill and found that their grandmother had died. She left them in her will only one possession: an antique water pail.
What is factoring by grouping? When factoring a trinomial by grouping, why is it necessary to write the trinomial in four terms?
Antonio is a simple minded carpenter. He bought a shipment of external drywall panels (12 ft x 4 ft) that he wants to use for building new houses.
Solve each equation by using the quadratic formula (what is this quadratic formula)
What constitutes a rational expression? Please give an example for reference. How would you explain this concept to someone unfamiliar with it?
Compute the discriminant of the quadratic equation 3x2+x+2=0. Briefly describe the number and type of solutions for this equation.
Two companies start up at the same time. Company A claims their annual profits follow a linear model, P(x)=10x-7 where x is the number of units sold and x=1