Consider the graph of y m e. 8. (a) Find the equation of the graph that results from reflecting about the line y (b...
Starting with the graph of f(x) = 2^x, write the equation of the graph that results from reflecting f(x) about the y-axis. y = ?
1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f(x) = 2x2 2x − y + 2 = 0 y = 2.Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(x) = 2(2 − x)2, (6, 32) f '(6) =
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0;
2. Use...
this two graph are one question.
N P(a,b,c) y X Find the equation of the line in the graph if a = 3, b = 8. c = 7. Select one: O a. (x = 3, z = 7} O b. {y = 8, z = 7} O c. {x = 3, y = 8} O d. (x = 3, y = 8, z = 7} N P (a,b,c) у The line when a = 3, b = 8, c...
18. Consider the graph of the function y = V7x-3. Find the equation of the secant line joining the endpoints of the interval [1,4]. (Hint: See problem #4.) A. y = x + B. y = x+; C. y = x + 1 D. None of these
a) Find the general solution of the differential equation Y'(B) + 2y(s) = (1)3 8>0. b) Find the inverse Laplace transform y(t) = --!{Y(s)}, where Y(s) is the solution of part (a). c) Use Laplace transforms to find the solution of the initial value problem ty"(t) – ty' (t) + y(t) = te", y(0) = 0, y(0) = 1, fort > 0. You may use the above results if you find them helpful. (Correct solutions obtained without Laplace transform methods...
In order to determine if a function f has an inverse from only its graph, use the In order to determine if two functions are inverses of each other from only their graphs, check to see that the graph of one function is a __ of the graph of the other function across the line The domain off is the same as the offis the same as the of its inverse function and the range of its inverse function. (a)...
Could you label and explain how to get each term?
Thank you!
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3
3. Find the equation of the tangent line to...
please draw graph as well
consider the following. Rx) - Inxº, (-1,0) (a) Find an equation of the tangent line to the graph of the function at the indicated point. (Use x for the independent variable and y for the dependent variable.) (6) Use a graphing utility to graph the function and its tangent line at the point -3 -2 h Websign Plot
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)