Q: If tanh x = 12 / 13, find the values of
If tanh x = 12 / 13, find the values of the other hyperbolic functions at x.
See AnswerQ: If cosh x = 5/3 and x > 0,
If cosh x = 5/3 and x > 0, find the values of the other hyperbolic functions at x.
See AnswerQ: (a) Use the graphs of sinh, cosh, and
(a) Use the graphs of sinh, cosh, and tanh in Figures 1–3 to draw the graphs of csch, sech, and coth. (b) Check the graphs that you sketched in part (a) by using a graphing device to...
See AnswerQ: Prove the formulas given in Table 1 for the derivatives of the
Prove the formulas given in Table 1 for the derivatives of the functions (a) cosh, (b) tanh, (c) csch, (d) sech, and (e) coth. Table 1:
See AnswerQ: Give an alternative solution to Example 3 by letting y = sinh
Give an alternative solution to Example 3 by letting y = sinh-1x and then using Exercise 9 and Example 1(a) with x replaced by y. Example 3: Exercise 9: Example 1(a): /
See AnswerQ: Find equations of the tangent lines to the curve y =
Find equations of the tangent lines to the curve y = x – 1 / x + 1 that are parallel to the line x - 2y = 2.
See AnswerQ: Use implicit differentiation to find an equation of the tangent line to
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + y2 = (2x2 + 2y2 – x)2, (0, 1/2), (cardioid)
See AnswerQ: Regard y as the independent variable and x as the dependent variable
Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx/dy. x4y2 - x3y + 2xy3 = 0
See AnswerQ: For each of the following functions (i) give a
For each of the following functions (i) give a definition like those in (2), (ii) sketch the graph, and (iii) find a formula similar to Equation 3. (a) csch-1 (b) sech-1 (c) coth-1
See Answer
