# C use the tangent line approximation at h1 to

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(c) Use the tangent line approximation at H=1 to estimate the value of H that will yield a spherical segment having volume 25 cubic inches:
Viewing Saved Work Revert to Last Response 10. 6/6 points | Previous Answers My Notes Question Part Points Submissions Used 1 2 3 4 5 6 1/1 1/1 1/1 1/1 1/1 1/1 1/5 1/5 1/5 1/5 1/5 5/5 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:
a = sin B sin A Suppose that a and b are pieces of metal which are hinged at C . At first the angle A is π /4 radians=45 and the angle B is π /3 radians = 60 o . You then widen A to 46 o , without changing the sides a and b 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: o . Our .
(b) Calculate dB dA when A = π /4 and B = π /3; leave your answer in EXACT FORM:
(c) Write the linear approximation of f at A = π /4: \$\$√3
( A π /4) + \$\$π3 (d) Using (c), when A = 46 o , B is approximately \$\$61.732 degrees; either answer exactly or to three decimal places.
Viewing Saved Work Revert to Last Response 11. 2/2 points | Previous Answers My Notes Question Part Points Submissions Used 1 2 1/1 1/1 1/5 3/5 A metal rod 1 meter in length is placed horizontally on the x -axis, with its ends located at the points P (0,0) and Q = (1,0). A second long metal rod is attached to the first one at the point Q =(1,0) and makes an angle of 45 o with the first. A third long metal rod is attached to the first rod at the point P =(0,0) and is free to rotate about P . Thus, the angle θ made by the first and third bars is free to change. For θ between 0 o and 90 o the second and third bars cross at a point R =(x,y) (see figure). (a) Find a relationship between x, y and θ ; then eliminate y by expressing y in terms of x . This gives you a relationship between x and θ of the form: (Write theta to represent θ .) = .
(b) Notice that x=0.5 meter when θ = 45 o . By approximately how many radians should you increase θ you want the x coordinate of the point R to decrease to x = 0.45 meters? Use the tangent line if approximation.20.1 Viewing Saved Work Revert to Last Response Home My Assignments WebAssign® 4.0 © 1997-2016 Advanced Instructional Systems, Inc. All rights reserved.