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 π/4 radians=45o and the angle b is π/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. 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: a. db/da? b. write the linear approximation of f

80 the answer is 80

step-by-step explanation:

i need a picture

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya