Mathematics, 06.05.2020 07:09, dijaflame67
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t),sin(t)) . Assume 0 < t < π/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y-intercept and x-intercept of the tangent line.)(a) The area of the right triangle is a(t)= 1/(2sin(x)cos(x)
(b)
lim
t ? pi/2?
a(t)= +infinity
(c)
lim
t ? 0+
a(t)= -infinity
(d)
lim
t ? pi/4
a(t)= 1
(e) With our restriction on t, the smallest t so that a(t)=2 is ??
(f) With our restriction on t, the largest t so that a(t)=2 is ??
(g) The average rate of change of the area of the triangle on the time interval [?/6,?/4] is ??
(h) The average rate of change of the area of the triangle on the time interval [?/4,?/3] is ??
(i) Create a table of values to study the average rate of change of the area of the triangle on the time intervals [?/6,b], as b approaches ?/6 from the right. The limiting value is -4/3
(j) Create a table of values to study the average rate of change of the area of the triangle on the time intervals [a,?/3], as a approaches ?/3 from the left. The limiting value is 4/3
Answers: 2
Mathematics, 21.06.2019 18:30, Angelanova69134
Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =
Answers: 1
Mathematics, 21.06.2019 20:00, yesseniaroman21
Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?
Answers: 1
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it...
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