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Water is flowing at the rate of 5m^3/ s into the conical tank. a) Determine volume v of water as function of water level h b) Determine h as the function of time t during which water has been flowi
Illustrate that t hours after 2:00 PM distance between bikes is? At what time is distance between bikes least? Compute distance between bikes, when they are closest?
The light 3m above causes boy 1.8m tall to cast the shadow s meters long measured along. Write s as the function of d, boy's distance in meters from light.
The 30-foot ladder is leaning up against the roof which is 20 feet above ground. How far from building is foot of ladder? Determine angle between ladder and the grounnd?
Determine holes, Vertical asympotote, Horizontal Asymptote, x and y intercepts, slant, domain and range (1) f(x)=(2x-5)/(x+3) (2) f(x)= (4-x)/(5-2x) (3) f(x)= (X^2-2x-8)/(x+2) (4) f(x)= (2)/(x^2-4x-
The box with open top is to be constructed from the rectangular piece of cardboard with dimensions 12 in. by 20 in. Write volume V of box as a function of x. v(x)
The underwater (but near the surface) explosion is detected by sonar on the ship 20 s before it is heard on deck. If sound travels at 6000ft/s in water and 1400 ft/s in air, how far is ship from ex
The open top box with the square base is to be constructed from 120 square centimeters of material. Find dimensions that will produce the box with characteristics?
Assume you have the function y=g(x) with domain {x|-2 <or= X <or= 7} and range {y|-6 <or= y <or= 4}. Determine the domain of y= g(-x+3). Determine the range of y=g(-x+3).
Graph of the function is y=f(x) with coordinates (-3,-2), (-1,2), (1,-2) (2,0) (5,2) find new coordinates with the transformation of y=-f(2x-6), also define all of the transformations applied in wo
Two cubical coolers together hold 30.0 L (30, 000 cm^3). If inside edge of one is 5.00 cm greater than inside edge of other, determine inside edge of each? Length of inside edges of two coolewrs ar
Determine amount of each alloy required to make 210 kg of the alloy which is 50% lead and 50% zinc. Amount of first alloy needed?
The company installs underground cable at the cost of $800 for first 50ft(or up to 50ft) and $5 for every foot thereafter. Write cost C as the function of lenght L of underground cable if L > 50
The electric current is passed through solution, and 1.6g of copper is deposited on electrode each hour. Express total mass m on electrode as the function of time t and plot the graph.
By weight, 1st fertilizer is 20% potassium, 30% nitrogen and 50% phosphorus. 2nd fertilizer has percent of 10, 30, and 60 respectively. How much of each should be mixed to get 200lb of fertilizer wit
Total of $30,000 is invested in two stocks. At the end of year, one returned 6% and other returned 8% on original investment. How much was invested in stock if total profit was $2160?
She requires to determine Q(6) and Q(10). Second model supooses that amount of contaminant reduces exponentially. Determine this exponential model.
Compute the positive number coterminal with minus 5 pi over 12. Compute 2 different exact values of t for which Sin(t) = -1/2. Two values of t must not be coterminal.
The voltage across an X-ray tube is around 43.0 kV. Assume that that the molybdenum target in the X-ray tube is substituted by a silver target. Find out: (i) The cutoff wavelength of the tube
At very bottom of the circle, an extremely sharp knife is rapidly inserted, to cut the string directly beneath the point of support. Determine how far to the right of where the string was cut does t
Determine the energy delivered to the circuit throughout one period if the operating frequency is double the resonance frequency.
Determine row at which you must sit to maximize apparent size(Vertical) of screen at your eye. Write step by step solution and describe reason for each step.
The magnetic field is all over zero. The resistivity of copper is 1.70 x 10-8 O-m and the cross sectional diameter of the copper wire is 0.800 mm. The magnitude of induced voltage in the copper wir
A clump of clay of mass 5.1 kg is dropped to the turn-table and sticks at a point 1.7 m from the point of rotation. Determine the angular speed of the clay and turn-table.
A point charge of -1.5 µC is positioned at the origin. The second point charge of 12 µC is at x = 1 m, y = 0.5 m. Determine the x and y coordinates of the position at which an electron w