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Sketch the line connecting points (-1,f(-1)) and (0,f(0)). Determine the slope of the secant line? Compute the slope called?
Graph of y=log0.5x is plotted. by inspecting graph and noting properties of log0.5x, explain some of differences of logarithms to the base less than 1 from those to base greater than 1.
Creae the table of values comprising atleast 4 ordered pairs and then draw graph of the function f(x)=2^x. Define domain and range of f.
Compute all complex zeros of polynomial function. Write exact values. Write multiple zeros as necessary. f(x) = x3 - 5x2 + 11x - 15 ; suppose that 3 is a zero of f(x).
Determine the polynomial of degree 3 with real coefficients which satisfies given condition Zero of -5 having multiplicity 2 and zero of 10 having multiplicity 1; P(0) = - 250.
The helicopter is hoverin at 3000 meters directly over eastern perimeter of the secret Air Force installation. How far should helicopter travel to intercept UFO?
Wendy took the trip with the total distance of 300 miles, part of way on the bus which averaged 40 miles/hour and part on the train which averaged 60 miles/hour. Entire trip took 5.5 hours. How lon
The given table illustrates net greenhouse gas emissions from human activities, 1990-2000 in teragrams of carbon dioxide equivalents. Draw the straight line which appears to fit the data.
In the scatter diagram from part (a) Draw the line which best appears to fit the data. Using the sketch from part b, evaluate y-intercept and slope of regression line.
The car's rear windshield wiper rotates 140°. Total length of wiper mechanism is 21 inches and wipes windshield over the distance of 13 inches. Determine area covered by wiper.
Determine angle between the side of length 2 and the side with length 3 in the isosceles triangle which has one side of length 3 and two sides of length 2.
In year 0 there are 19 lizards on the circle island. 10 years later there were 540. Suppose exponential growth, Determine year the populationn reached 1000.
Assume that the wound initially had area of 100 square millimeters. How long before wound is 10% of its original size?
The sport utility vehicle which costs $22,800 new has the book value of $11,500 after 2 years. Determine book values of vehicle after 1 year and after 3 years utilizing each model.
Population of fish in lake after time t, in months, is provided by function P(t) = 4375 / 1+6.27e-0.35t. Determine population after 15 month(s). Find carrying capacity for trout population of this l
Indicate radian measures for an angles s=1.57, s=3.14, s=4.71, and s=6.28 on unit circle. Determine quadrant in which W(13) is situated. Determine quadrant in which W(4/5) is situated.
which point is traveling faster, A or B b) which point is farther to right when t=0. At what time t do A and B have similar x-coordinate.
The Homeowner wishes to fence the rectangular garden using 60ft of fencing. The existing stone wall will be utilized as one side of rectangle, compute dimensions for which area is a maximum.
Determine equation of line in XY -plane which contains point (4,8) and makes the angle 74 degrees with positive x-axis. 2) Assume -pi/2 < theta <0 and cos{theta}=1/7.
Determine them utilizing either law of sines or law of cosines. Angle A is 22degrees opposite side length 13. Angle C and opposite side c length is unknown. Angle B is unknown opposite side b length
At noon passenger ship was 40 miles north of port traveling at 30 mph, while tanker was 30 miles east of port traveling 20 mph. Find theta to nearest 10th of the degree.
The parabolic arch has the span of 120 feet and maximum height of 25 feet. Select appropriate rectangular axes and determine equation of parabola.
The airplane traveling from Denver to Pasco should detour around the storm in Rocky Mountains. State each leg of trip with components of the vector in standard position.
Biologists seen that population doubles every 8 years, and now population is 80,000. Evaluate squirrel population 10 years from now.
The open-top box is to be constructed form the 16 inch square sheet of cardboard by cutting out congruent squares at every corner. Then determine maximum possible value of box.