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You must work on the paper alone. Include the following in the paper for every problem: Assume that direction angles of the vector are equal. Determine the angles?
Iodine-132 is the radioisotope which is used in thyroid function tests. Its half-life time is 13.3 hours. Compute relative amount of Iodine-132 in the patients body 48 hours after receiving the dos
It borrowed $2000 more than one-half the amount of the 8% loan at 10%, and rest at 9%. Total annual interest was $2220. How much did company borrow at each rate?
Determine vector equation and parametric equations for line. Line through point (0,14,-10) and parallel to line x=-1+2t, y = 6-3t, z= 3+9t. Line of intersection of planes x+y+z=1 and x+z=0.
One box is the cube with the side length x. Another box is the rectangular solid with side of length x + 1, x - 1, and x. If x > 1, how much greater is volume of cube than that of other box?
The manager purchased 12lbs of peanuts for $30. He wishes to mix $5 per pound cashews with peanuts to get the mixed batch of mixed nuts which is worth $4 per pound. How many pounds of cashews are r
In planning the retirement, Callie Daniels deposits money at 2.5% interest, with twice as much deposited at 3%. Determine amount deposited at each rate if total annual interest income is $850.
Squares of width x are removed from the 10cm by 25 cm piece of cardboard and resulting edges are folded up to form the box with no top. Compute all values of x so that volume of box is at most 17 c
The tetherball weighing 1 pound is pulled outward from pole by the horizontal force u until rope makes the angle theta degrees with pole. Write tension T in rope and magnitude of u as functions of t
Groundspeed and bearing of the plane: The plane is headed due south with the air speed of 192 mph. The wind from the direction of 78.0deg is blowing at 23.0 mph. Determine ground speed and resultin
Two rescue vessels are pulling the broken-down boat toward the boathouse with forces of 840lb and 960lb. Angle between two forces is 24.5deg. Determine direction and magnitude of equilibrant.
Compute behavior near the vertical asymptotes. Graph function. Ensure to plot at least intercepts, dashed lines for asymptotes and at least one point in every region determined by asymptotes.
Find whether function is even, odd, or neither. Graph function. Ensure to plot at least intercepts and approximate relative maximum(maxima) and minimum (minima).
Determine x-intercepts of polynomial function. Express whether graph crosses x-axis, or touches x-axis and turns around, at every intercept. 3)x5 - 22x3 + 96x = 0.
The profit that vendor makes per day by selling x pretzels is provided by function P(x) = -0.002x2 + 1.4x - 400. Determine number of pretzels which should be sold to maximize profit.
Find whether given quadratic function has the minimum value or maximum value. Then determine coordinates of minimum or maximum point by completing square to put function in standard form.
Fencing with a length of 420 meters surrounds two identical playing field with the common side. Fields can be side by side and separated by the fence. Determine larger dimension of every field.
The 15 foot long pole leans against the wall. Bottom is 9 feet from wall. How much farther must bottom be pulled away from wall so that top moves same amount down wall?
Planning the Race Track: If Mario plans to create the circular race track one mile in circumference on the square plot of land, then find minimum number of acres that he requires?
If they should pay $780 in closing costs and 6% of selling price for sales commission, then find minimum selling price for which they will get $128,000?
Assume that quantity supplied (S) and quantity demanded (D) of hot dogs at the baseball game are provided by given functions. Determine equilibrium price and quantity?
You are instructed to provide cephalexin monhydrateg over next 24 hrs divided into 6 equally spaced doses how much would you give for every day?
Wheel is connected by the axle to the grindstone of diameter 3ft. Determine angular velocity of the point on rim of grindstone?
An artifact is discovered at a certain site. If it has 72% of the carbon-14 it originally contained, find approximate age of artifact?
Write the few paragraphs which give the general strategy for graphing the epolynomial function. Ensure to state following: intercepts, degree, end behavior, and turning points.