Mathematics, 07.03.2020 02:24, katyym80
In the triangle pictured, let A, B, C be the angles at the three vertices, and let a, b,c be the sides opposite those angles.
According to the ``law of sines,'' you always have:
b/a=sinB/sinA
Suppose that a and b are pieces of metal which are hinged at C. At first the angle A is ?/4 radians=45o and the angle B is ?/3 radians = 60o. You then widen A to 46o, without changing the sides a and b. Our goal in this problem is to use the tangent line approximation to estimate the angle B.
(a) Notice that the angle B is a function of the angle A; i. e. B=f(A). Consequently, it makes sense to calculate the implicit derivative:
dB/dA
=(?3) / (?2)=
(b) Calculate
dB/dA
when A=?/4 and B=?/3; leave your answer in EXACT FORM:
(c) Write the linear approximation of f at A= ?/4:
(A ?/4) +
(d) Using (c), when A= 46o, B is approximately
degrees; either answer exactly or to three decimal places.
Answers: 2
Mathematics, 21.06.2019 19:50, Roshaan8039
Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
Answers: 3
Mathematics, 22.06.2019 00:10, megharx
Will mark the brainliest. paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each?
Answers: 1
In the triangle pictured, let A, B, C be the angles at the three vertices, and let a, b,c be the sid...
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