(v) A portion of the graph of a function f that passes through the point (c,...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) is A. z + y = e2 B. I+y e C. z+y 3. D. None of the above (7) 2 points The gradient of f(z,y, z) = ep at the point (-1,-1,2) is A. (2e2,e2,2e2). B. (-e,-e,2e2). C. (-2e2,-2e2, e) D. (-2e2,-e,-e) (8) 2 points Let f be a function defined and continuous, with continuous first...
(1 point) Consider the graph of the function f(x) shown below. (Click on the graph for a larger version) A. Estimate the integral B. If F is an antiderivative of the same function f and F(0) -50, estimate F(7): We were unable to transcribe this image (1 point) Consider the graph of the function f(x) shown below. (Click on the graph for a larger version) A. Estimate the integral B. If F is an antiderivative of the same function f...
2. The graph of a quadratic function has the vertex (1,2) and passes through the point (3,6). Find the rule of the quadratic function in the form y = ax? + bx + c. moda llamo as onson bloodanov SOC.001 M dolgo? Dodato doorni odbor bu
(1 point) Shown below is the graph of y- f'(x), NOT the graph of y-f(x). (Click on the picture for a better view.) From the information in this graph we can conclude that a good approximation to f(-5.04)- f(-5) is 0.08 Shown below is the graph of a different function, y - g(x). (Click on the picture for a better view.) Indicate the labeled point at which g(x) changes sign: a g'(x) changes sign: d g"(x) changes sign: c (1...
If we are given that the composite function g(x) = ln(f(x) passes through the point (0,1) where it has a tangent line of slope -1, then what is the value off'(0)? a) 0 b) 0-1 c) O-e d) e) Review Later Question 24 Find lim x? In(x2). X-0 a) 4 b) The limit does not exist. c) 0 d) 01 e) 2 Review Later
Find a function whose graph is a parabola with vertex (4,-6) and that passes through the point (5,-3). Your answer is f(x) =
Problem 3. Define the function: 2+_ 0 if (z,y)#10.0) if (a,y)-(0,0) f(x, v)= (a) Graph the top portion of the function using Geogebra. Does the function appear to be continuus at 0? (b) Find fz(z, y) and fy(z, y) when (z, y) #10.0) (c) Find f(0,0) and s,(0,0) using the limit definitions of partial derivatives and f,(0,0)-lim rah) - f(O,0) d) Use these limit definitions to show that fay(0,0)--1, while x(0,0)-1 (e) Can we conclude from Clairaut's theorem that()-yr(x,y) for...
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
15-16 The graph of the derivative f' of a continuous function f is shown. (a) On what intervals is f increasing? Decreasing? (b) At what values of x does f have a local maximum? Local minimum? (c) On what intervals is f concave upward? Concave downward? (d) State the x-coordinate(s) of the point(s) of inflection. (e) Assuming that f(0) = 0, sketch a graph of f. 15. y A y = f'(x) --2 0 2 6 8 x -2
6.4 A. Which answer describes the graph of the logarithmic function f(x) = Inx? (a) The graph goes through (0,1) and has r = 0 as a vertical asymptote. (b) The graph goes through (1,0) and has x = 0 as a vertical asymptote. The (c) The graph goes through (0, 1) and has y = 0 as a horizontal asymptote. (d) The graph goes through (1,0) and has y = 0 as a horizontal asymptote. (e) The graph is...