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Let f(x) = 7x2 + 4x + 3. Find the difference quotient limf(x+h) - f(x)
h-> 0 h
(Remember that h cannot be equal to 0). We want to let h be as small as possible without actually becoming 0, so we use the limit)
Equation given: 4.5X + 7.7Y = 12 solve for X and Y
The shape of a hill is given by z = 1000 - 0.02x^2 - 0.01y^2. Assume that the x-axis ispointing East, and the y-axis is pointing North, and all distances are in metres.3 marks (a) What is the direction of the steepest ascent at the point (0, 100, 900..
An Introduction to Economics class with 188 students meets in this lecture hall. What is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander?
assume that adults have iq scores that are normally distributed with a mean of 102 and a standard deviation of 15. find the third quartile Q3 which is the iq score separating the top 25% from the others.
A poster is to have 150 square inches of printed area. If we want a 2 inch margin at the top, and 1 inch margins at the bottom and sides, what dimensions use the smallest amount of paper.
Probability that both circuits are defective, A factory worker places 93 newly created circuits on a shelf to be checked for quality. Of these, 8 will not work correctly. Suppose that she is asked to randomly select two circuits
A particle moves along a number line such that its position s at any time t, t(greaterthan or equal to), is given by s(t)=2t^3-15t^2+24t+1. A) Find the average velocity over the time interval [1,2].
a car is traveling 50mi/h when the brakes are fully applied, producing a constant decceleration of 22ft/s^2. What is the distnace traveled before the car comes to a stop.
question two sides of a triangle measure 12 and 20. the measure of the included angle is 40. find the area of the
How many bricks will be required to build a house whose dimension is 60ft by 48 ft by 8 ft
How far should its base set away from the building wall? Explain your answers and show your calculation. NOTE: You may need to apply the Pythagorean Theorem when solving this question.
Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt.
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