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Determine rate of change of function f(x)= 3x^2-7x^2-18x-8 on given intervals:(a) -2 ≤x ≤ -1 (b) -1 ≤ x≤ 4 (c) Graph function on the calculator on interval -3 ≤ x ≤ 5 (or wider).
The mass of the block on the table is 454 N and that of the hanging block is 205 N. Avoid all frictional effects, and supposing the pulley to be massless. (a) Determine the acceleration of the two b
A jogger travels a path that consists of two parts. The first one is a displacement (A) of 2.40 km due south, and the second comprises of a displacement (B) which points due east.
Basketball is dropped from the original height of 9 feet and on every bounce, bounces up 2/3 the distance it fell. Determine how far will it have traveled by time it hits ground 4th time?
The parallel plate capacitor consists of a capacitance of 7uF if filled with a dialectric. The area of each and every plate is 1.5 square meters and the separtion among the plates is 1X10^-5m. Find
In a small town there are just two AM radio stations, one at 930 kHz and the other at 1280 kHz. a) Find out the wavelength of the radio wave transmitted by the first station?
Armature of the simple ac generator consists of 20 circular loops of wire, each with a radius of 10 cm. It is rotated with a frequency of 60 Hz in the uniform magnetic field of 900 mT. a) Determine
Clothing business finds there is the linear relationship between number of shirts, n , it can sell and price, p, it can cost per shirt. Write the linear equation in form p = mn + b which provides pri
Determine angle (s) between the normal to the plane of the loop and the field would outcome in a flux having magnitude of 1.1 ×10-2 T* m^2 ?
Consider g and h be two functions stated by g(x)=(-6+x)(-1+x) h(x)=1+4x for any real number x. Determine g/h(-3) and then compute all values which are not in domain of g/h.
At a marriage reception, you notice a small boy who looks like his mass is around 25 kg running part way across the dance floor, then sliding on his knees till he stops. When the kinetic coefficient
Determine continuous rate of growth of koala population between 1996 and 2005. Compute the formula for population as the function of years since 1996, and find population in year 2025.
Compute the speed of the center of mass when, after begining from rest, the center of the mass has fallen to 3 m. The accleration of gravity is 9.8 m/s^2. The answer must be in units of m/s.
Let the line y= -9x+9. What is the equation of line which is parallel to this line and passes through point (6,5) .
Four similar charges (+2uC each) are brought from infinity and fixed to the straight line. The charges are placed .4 m apart. Find out the electric potential energy of the group.
The number of bacteria in the definite population rises according to the continuous exponential growth model, with the growth rate parameter of 3.25% per hour. Find number of hours does it take for
The intensity of sound from a given source is measured at two points all along a line from the source. The points are separated by 13.9 m, the sound level is 76.80 dB at the first point and 66.72 dB
Pool is shaped like the cylinder with the diameter of 8 m and depth of 1.5 m. If water is pumped out of pool at the rate of 15 m^3 per hour, find how many hours does it take to empty pool?
The charged capacitors are then dis-connected from the source and joined to each other with terminals of like sign altogether. Find out the charge on each and every capacitor and the voltage across
Consider a light ray which is refracted by a prism shaped like an equilateral triangle. The incident ray is parallel with the base of prisms. Determine the net deflection of the ray, given that the in
The fishery stocks the pond with 1400 young trout. Number of trout t years later is P(t)=1400e^-0.5t. Find number of trout which are left after six months? after one year
Assume that you take a 2.0×10^2 ohm resistor and a 0.40 H inductor and prepare a series circuit having voltage source which has voltage amplitude 30 V and an angular frequency of 2.5×10
Reaction among the Mg (s) and HCl (aq) put inside a calorimeter and the thermometer registers a boost in temperature for the solution within the calorimeter.
If 5.25mL having 0.1000 M NaOH solution is required to merely neutralize the surplus acid after the 20.00 mL of .1 M HCl was added to 1.00 g of an antacid, determine the number of moles of acid whic
Determine the intensities I of given earthquakes measuring R on Richter scale (let I0 = 1). Samoa Islands in 2009, R = 8.1.