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Question 16 Find the z-intercept and y-intercept of the graph of y = f(x), where f(x)...
Let f(2) V4.1 +3. f(0) - f(a) Using the definition of derivative at a point, f'(a) = lim enter the expression needed to find the derivative at = 1. > - a f'(1) = lim 11 After evaluating this limit, we see that f'(1) = Finally, the equation of the tangent line to f(x) where x = 1 is Enter here (using math notation or by attaching in an image) an explanation of your solution. Edit - Insert Formats BI...
f(x, y, z)ds where f(x, y, z) = x=y=z and o is the portion of the plane x+y=1 lying in the first octant o between z = 0 and z= 1. [ f(x, y, z)ds = ? Edit
Evaluate the surface integral s«w.vz) as where f(x, y, z) = x - y - zand o is the portion of the plane x + y = 1 in the first octant between 2 = 2 and 2 = 3. Enter the exact answer. f(x, y, z) ds = ? Edit 46.9.2) ds =
200 In Exercises 12 and 13, find (a) domain, (b) x-intercept and y-intercept, (c) lim f(x), lim f(x), lim f(x) or lim f(x) (if possible), where a is point of discontinuity , (d) Interval of increasing and decreasing, (e) interval of concave up and down, (f) show all extreme and inflection points, and (g) sketch the graph. 12. f(x) = 1 13. f(x) = In()
Please show all work. Answers provided below Answers: (x, y, z) dS for the following: (a) f(x, y, z) x+4 , where S is the portion of the generalized cylinder y2 +4z 16 cut off by the planesx 0, x-1 and z- 0 (b) f (c) f (x, y, z)-xyz, where S is the torus given in [12](e) (x, y, z)-xyz, where S is the portion of the cylinder y + z the planes x-1 and x 2 f(x, y,...
Chapter 15, Section 15.1, Question 018 Find div F and curl F. F(x, y, z) = xz® i + 3y0j +3zyk Enter the exact answers. Enter a value in each entry area, even if the coefficients are 0 or 1 for curl F. div F= Edit curl F = ( ? Edit Di+l ? Edit j+( ? Edit k
Use the graph of y=e* and transformations to sketch the exponential function f(x) = new Determine the domain and range. Also, determine the y-intercept, and find the equation of the horizontal asymptote. Use the coordinates of the three points of the graph of y=e* to determine the corresponding points that lie on the graph of f(x) = -ex+6 Points that lie on the graph of y=e Points that lie on the graph of y=e* (-2,5) (0,1) (1,) Corresponding points that...
A B C Parametrize, but do not evaluate, //f(x, y, z) ds, where f(x, y, z) 2y22 and S is the part , where J(,y,) 3 3 and 0 Sys4 of the graph of z2 over the rectangle -2 s . Parametrize, but do not evaluate, F.n ds, where F (,-,z) and S is the sphere of radius 2 centered at the origin. Calculate JJs xyz dS where S is the part of the cone parametrized by r(u, u) (ucos...
In Problems 7–12, sketch the graph of the given function f. Find the y-intercept and the horizontal asymptote of the graph. State whether the function is increasing or decreasing. 7. f(x) = -5 + 3 9. f(x) = 3 - ()' 11. f(x) = -1 +er-3
Determine the quadratic function whose graph is given. 16) +++++++++ ++++++ + Vertex: (-1,9) y-intercept: (0,8) A) f(x) = -x2 - 2x + 8 C)f(x) = -x2 - 2x - 8 B) f(x)=x2 - 4x + 8 D) f(x) = -x2 - 4x + 8