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stion 8 Solve the problem Does the graph of the function y = 5x + 10...
Find the derivative of the function. y sin-1(5x+ 1) Part 1 of 3 The function y - sin-1(5x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative dx[f(g(x))) = f '(g(x))g'(x) For the given function sin 1(5x+ 1), the "inside" function is Sx + and the foutside" function is arcsin (a) Part 2 of 3 Recall that the derivative of y sin-1(x) is 1-(5x - 1)2 Find the derivative of...
Determine all values of x, (if any), at which the graph of the function has a horizontal tangent. y(x)=x+ – 108x +8 Select one: a. x = 3 b. x= 0 and x =-3 c. x = 0 andx = 3 d. x=0 e. The graph has no horizontal tangents.
Question 28 1 pts Solve the problem. Use the graph of y = =* to graph the function. Write the domain and range in interval notation. f(x) = { 1 ++4-3 -10 Domain: (--,) Range: (-0,3)
solve both problems For the function y = x2+8 3, find and graph the coordinates of any local X-3 extreme points and/or inflection points. 4 Sketch the function y xv4- x2. What, if any, are the x-intercepts. Is the graph symmetric to the x-axis, the y-axis, or the origin? What is the domain and range?
Begin with the graph of y="Use transformations to graph the function. Then determine its domain, range, and horizontal asymptote. 10 Use the graphing tool to graph the function, C 4 2- -10 -8 4 5 Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer.) The domain of f(x)" X-7 (Type your answer in interval notation.) The range of f(x) = 6**? (Type your answer in interval notation.) The horizontal asymptote of f(x) =...
Solve the given initial value problem for y = f(x). dy = 5x - 3 where y = -3 when x = -7. dx y
By inspecting a graph of y = sin x, determine whether the function y = sin x is increasing or decreasing on the interval The function y=sin x is on the interval By inspecting a graph of y = sin x, determine whether the graph is concave up or concave down on the interval (1,21). The graph is on the interval (1,21). Minimize f(x,y)= x2 + xy + y2 subject to y = 20 without using the method of Lagrange...
Solve the following linear programming problem. Maximize: z=5x+4y Subject to: 6x-y≤16 3x+y≥12 x≥2 y≤8 The maxiumum value of 5x+4y is ____ at the point _____ (Type an integer or a simplified fraction.)
Does the graph represent a function that has an inverse function? Choose the correct answer below Yes Click to select your answer A bal is thrown upward and outward from a height of 6 feet. The height of the ball, fox). In feet, can be modeled by f(x) = -0.3x +1.7x+6 Where is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c) a. What is the maximum height of...
We do not have the methods of integrating certain functions, such as 2π 1 sin (x) dr So we will approximate this value. (1) Sketch the graph of y -1 sin( (2) Break up the interval [0, 2T] into 8 pieces (3) Connect the points to form 8 trapezoids. (4) Find the value of the function V1 +sin (x) at each of the 9 points, using a calculator as necessary. (5) Find the area of each trapezoid, add them up....