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: 2. Use a matrix to determine if the set a1, a2, az is linearly dependent or linearly independent. If…

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Q: 2. S 22+3x dx = 4 ( +c In 8.

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Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: for function f(x) = e=z²/(20²) sketch f(x)!

A: Topic :- Calculus

Q: Determine whether f(x)=sinx+cosx is an odd or even number

A: Given function is f(x)=sinx+ cosx

Q: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

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: Let f(x) f-1( – 8) = Preview

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Q: Plot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and…

A: In the question it is asked to draw diagram for f(x)=x(x-3)(x+3). Also it is asked to draw…

Q: Let f(x) = g(x) h(x) and consider the following table of values: The value of f' (-9) is Number…

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Q: Consider the function:-- f (x) = 1/2 x2   Sketch a possible graph of f' .

A: Given function is fx=12x2. To sketch a possible graph of f'. Solution: Differentiating the given…

Q: Apply Parseval’s formula to the function f(x)=x2.

A: As per the question we have the function f(x) = x2 and we have to apply Parseval's formula to this…

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: Determine f ″ ( x ) for f(x) = sec x

A: Given function: fx=secx

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: calculate the Platkin boundaries for these codes : A2(8 , 5 ) , A2(11 , 8)

A: The expression  A2(n,d) represents the maximum number of binary codewords in a binary code. Here, n…