Consider the function f : R → R given by - 0 if a ≤0 e-1/² if x>0 f(x) = {e=1/² Sketch the graph of f.

Q: Consider the function f(x) with the following graph: 2 Compute f'(-1). 3. 2.

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Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

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Q: The function f(x)=(2-x)/(3) is continuous at

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Q: f(x) = 2 sec (-) + 1 2

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Q: f(x) is a function such that f"(x) > 0 for x # 0 and f"(0) is undefined. Sketch 2 different graphs…

A: Here we need to plot two functions such that and f''(0) is undefined.In other words f(x) is concave…

Q: Sketch a graph of the functionf:R R, given by f(x) = -2z + 8r in the range r E-1. Find all the…

A: We need to graph function and find maxima and minima.

Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

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Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

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Q: Sketch the graphs of the function f(x) = sin x .

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Q: Draw a graph of a function that satisfies the following p 1) f(x) 0 for x>0 3) f(0) = 0 %3D 4) f is…

A: Given description of function 1) f(x)&lt;0 for x&lt;0 2) f(x)&gt;0 for x&gt;0 3) f(0)=0 4) f is…

Q: Suppose that f: R → R is a function with second derivative f"(x)=x•(x+ 1)³ · (x + 5)ª . Find…

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Q: Let g(x,y)=y−6/(x+2)^2 Indicate the range of g using interval notation

A: To find the range of the below function. gx,y=y−6x+22

Q: Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right…

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Q: 17. Sketch the graph of f(x) = { 2x + 2, x ≤ −1 [x³−x, x>−1 and find the derivative. Determine…

A: 17. Sketch the graph of  and find the derivative.Determine whether  satisfies the conditions of the…

Q: Graph the curve of the function F(x)= sgn([x]+1)

A: Providing a solution to given question assuming the symbol x denotes the floor function . The Floor…