. Sketch a graph of the function y = e" (x² – 3) showing clearly where it is concave up or concave down. Indicate the x-coordinates of any maxima, minima and points of inflection and find the asymptotic behaviour. Show all your reasoning. (A graph from a computer generated plot will receive no marks unless accompanied by thorough derivations of the regions of interest.)

Q: Consider the following function. f(x) = - Use a graphing utility to graph f on the interval [-2, 2].…

A: Given f(x)= -52x2 ∴ f'(x)= ddx-52x2=-5x We know, slope of f(x) is given by f'(x)

Q: Given y=xx+4). Plot any stationary points, inflections points, and cusps which may or may not exist.…

A: Given, y=x23x+4 Used formulas, ddxxn=nxn-1ddxconstant=0Product rule of…

Q: f (x) = 4x³ + 5x + 4

A: The given function fx=4x3+5x+4. To determine the point(s) of the curve where the tangent has a…

Q: 6. For the function f(x) =x +3x? –2 (a) State the domain. (b) Determine y-intercept. (c) ) Determine…

A: Note : As per the authoring guidelines, when multiple subparts are posted, then only first three…

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: Note. 1 and -1 are *-* + 4x b) f (x) = | some of its critical points

A:

Q: answer in slope-intercept form. Do not round until the final answer. Then round to two decimal…

A:

Q: Q.No.4: Find the absolute extreme values of the function f(x) = secx sxsThen graph the function.…

A: Given, fx = secx           -π2≤x≤π6 We have to fine the extreme values of the function, graph the…

Q: Calculate function value at x=0.8 and x=2.3 using cubic splines. Data for interpolation f. 1 1.…

A: Cubic Splines Interpolation Formula:…

Q: 14. Find a function whose tangent has slope 4x+1 for each value of x and whose graph passes through…

A:

Q: Sketch the level curve of the function y? f(z, y) = %3D 9. 16 for c = 1.

A:

Q: Consider the function. f(x) = 9x2 – 2, x = 1 to x = 2 Find the area (in square units) under the…

A: As we know that the area under the curve f(x) is : Area=∫abf(x)dx

Q: 10. For the function f(x) = x³ 3x² - 9x (a) Find the intercepts. Show work. Round to two decimal…

A:

Q: For the function f graphed below, sketch a possible graph of its derivative f'. y 3.0 2.5 2.0 1.5…

A: The derivative of a function means the magnitude of the slope of the tangent to the curve. The graph…

Q: asked to sketch graph of function f(x,y)= 10-4x-5y. The graph is given in x,y,z notation explanation…

A: We have to sketch the function                       Since we can is that it is a linear function in…

Q: Graph the function by determining the key features of the curve represented by y=3x+3(2)1/2cosx​;…

A: we have been given a function y=3x+32cos x

Q: Sketch a graph of a non differentiable function (that is, a function that fails to have a slope at…

A:

Q: . Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

A: Ux =0x&lt;01x≥0 So this step function is equal to 0 when time t is negative and is equal to 1 when…

Q: 7. Find a function so that the directional derivative is maximized when we go in the direction of…

A:

Q: 12. Find all relative extrema, and sketch the graph, for the function: f(x) = 3x* – 4x -12x² %3D…

A: Given