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Consider a particle moving in a circle at a fixed radius R from the origin. Determine the normal and tangential components of the acceleration vector a→ for the two cases below.
(a) The speed v is constant.
(b) The speed v is increasing linearly with time t with a proportionality constant k.
Is there a scenario where the acceleration vector is orthogonal to the direction of movement of the particle?
Concern the region bounded by: Find the volume of the solid obtained by rotating the region around the y-axis
tom and barb hace only nickels and dimes.barb has 75 cents and tom has 90 cents. both have the same number of coins and tom has the same number of dimes as barb has nickels. how many nickels does barb have?
write a polynomial function f(x) of least degree that has rational coefficients, a leading coefficient of 1, and 1, 2, and 3 as zeros.
find the work done in moving an object through the force field F=xi+y^1/2j along the curve y=x^3/2 from (0,0) to (4,8)
reboot inc. is a manufacture of hiking boots. the demand next year is expected to be 3000 4000 8000 and 7000 pair of
Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; Explain your steps.
If BCD and EFGH are rectangles with AB=10cm,BC=7cm,EF=7cm and FG=4cm,all figures accurate to the nearest cm. Find (a)the largest and (b)the smallest possible values of the shaded area.
if a function of one variable is continuous on an interval and has only one critical number then a local maximum has to
A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
Determine the dimensions to be used if the volume is fixed and the cost of construction is to be a minimum. Neglect the thickness of the silo and waste in construction.
Suppose that you have 500m of fencing with which to build four adjacent rectangular corrals. What dimensions will maximize the total area of the pen?
A strong linear relationship exists between two variables (r = 0.97). The equation of the least squares line(regression equation) is y = 15.75 - 0.55x. For what values of x should we use this equation to make predictions? Below are the ordered pai..
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