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- domain of g(t)= sin(et-1)A cable hangs between two poles of equal height and 30 feet apart. Set up a coordinate system where the poles are placed at x=−15 and x=15, where x is measured in feet. The height (in feet) of the cable at position x is h(x) = 17cosh(x/17) where cosh(x) = (e^x+e^-x)/2 is the hyperbolic cosine, which is an important function in physics and engineering. The cable is ______ feet long?riccatti equation (pls complet the soluiton from A to Z)
- sinh(0)Find the maximum and minimum values of the function. y = 4 sin(x) + sin2(x) maximum value minimum valuea) Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (4π, 0) b) Find equations of the tangent line and normal line to the given curve at the specified point. y = 6xex, (0, 0) c) Find the points on the curve where the tangent line is horizontal. y = 2x3 + 3x2 − 12x + 9
- Using trig. identities, find the maximum of y = sinx + cosx (in the first quadrant) and the corresponding angle x in degree (clearly show your work). Note that solving the problem by taking derivative of y with respect to x and setting it to zero is not acceptable (this is a calculus method).Explain the concept of Newton approximation. Present the idea in general and illustrate it using the function f(x) = e^x+x with the starting points -2 as well as 2.Finding an Equation of a Tangent Line f(x) = 7 x + 9 x ; (1, 2)
- A derivative formulaa. Use the definition of the derivative to determined/dx(ax2 + bx + c), where a, b, and c are constants.b. Let ƒ(x) = 4x2 - 3x + 10 and use part (a) to find ƒ′(x).c. Use part (b) to find ƒ′(1).#8a using Descartes's rule of signFind an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the point of tangency (x, y) on the graph of f, solve the equation f′(x) = (y0 − y)/(x0 − x) f(x) = 2/x (x0, y0) = (5, 0)