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Find a linear approximation to the function f at a given point, and use it to estimate the given function value.
a. f(x, y) = √(29 - x2 - y2); (2, 3), estimate f(2.2, 2.8).
b. f(x, y) = cos (x + y + π/6); (0, 0), estimate f(0.1, 0.1).
given that there are x red marbles x-4 blue marbles and 3x2 green marbles in a bag of exactly 18 combined red blue and
sketching the graph of cosecant function and identifying its asymptotes.graph y csc 0.5x pi2 and y cos 0.5x pi2 on
The bank will close your account when the amount becomes less than 1500 AED. Write a program that accepts the amount you want to save in the bank and prints for you the depreciation (decrease) in your savings every year because of only the bank ch..
Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
for the set belowa determine the list-squares regression lineb graph the least-squares regression line on the scatter
A rabbit and a turtle have a foot race. The Turtle receives a 100 foot head start. The rabbit is tens times as fast as the turtle. How far must the rabbit run to catch the turtle?
Use the compound interest formula to find the amount of interest earned on each investment if the interest is compounded anually.
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 4x2+ 8x - 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.Part C: Solve 2x..
stone is thrown straight up from the edge of a roof, 675 feet above the ground, at a speed of 10 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 6 seconds later?
Put a ring around the equator. Now, cut it, enlarge it by 6 feet, and put it back. How far out from the earth will it be? (The Earth's radius is 4000 miles.) a) a negligible amount. b) a ladybug might be able to crawl underneath the ring.
question a weight attached to a spring is pulled down 2 inches below the equilibrium position. assuming that the
An airplane is flying on a bearing of 147 degrees at 345 kmph. A wind is blowing with a bearing of 142 degrees at 325 mph. Find the actual speed and direction of the plane.
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