sing the definition of convolution find the convolution of the following unctions (f*g) f(t) = {2; −1≤t≤1 Otherwise g(t) = u(t)e-t

Q: 5. Consider the function f(x)=x4 – 2x2. %3D 5a. Determine intervals of concavity. 5b. Determine…

A: Given value of f(x) , to find interval of concavity and inflection points we want to find f"(x).

Q: feter to the gGraph of the Function F in He Following fgure y = F(x) -5 2 3 4 5 6 -2 a) find the…

A: a) At x=0 , y=-2  So, F(0)= -2  Answer(a): -2

Q: Let f: N→ N be the function with the rule, f(x) = the number of letters in the English word for æ…

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Q: Which of the following is guaranteed by the Intermediate Value Theorem, if f is a continuous…

A: Let's solve given problem by using intermediate value theorem.

Q: Find the values of x for which the function is continuous. - 7 f (x) = 2 + 84

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Q: et X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is…

A: Given that  Cdf. F(x)= {0   x<0           {X3/64  , 0<=x<=4              0     , x>4

Q: Given the profit function 2x 4, -3< X s 0 A. 0< X s 1 P(x)= x + 2, 1< x < 2 . 2. 5, 2s X 3. Evaluate…

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Q: is The domain of the function f(x.y) = - Vy+ \x|-4 Select one: O None

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Q: Determine at which points f(x) is discontinuous. f(x) = X-81 The function f(x) is discontinuous at x…

A: f(x) is discontinuous at points where f(x) is undetermined.

Q: Find the area of each circle, given the radius r or the diameter d. Leave your answer in tems of t.

A: See the detailed solution below.

Q: Let f(x) = 8-x+9 + 7 For which values does f output the number 2 ? X = Is 2 in the range? O(No…

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Q: Determine the intervals on which the function is concave up or down and any inflection points. f(x)…

A: The second derivative test allows you to determine the concavity of a function  by analyzing the…

Q: 4 k If f(x) = 5 – x, evaluate >f +1 4 k=1 Answer: Submit Answer

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Q: Identify the interval(s) where h is differentiable. For each point where h is not differentiable,…

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Q: snip

A: Given, fx=2x2-3gx=4x

Q: 8. Where is f(x)= x-3 if x≤3 x² if x>3 discontinuous? O A. 3 O B. [The set of numbers 1, 2, 3, ...…

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Q: Check the continuity of |x-5| 2x-10 0, x + 5 f(x) = x = 5 at x = 5.

A: We need to check the continuity of the following function at x=5.                 Right-hand limit:

Q: 4. Given f(x) = 3(x − 2)² + 6, what are the domain and range of f(x)? - a) Domain: {x € R}, Range:…

A: The given function fx=3x-22+6 we have to find its range and domain consider the general parabola…

Q: Which of the following functions will be continuous on (0, 3)? OA. h() = 12 8² + 6| OB. g() = 7/2-16…

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Q: Let fand g be the functions from R to R defined as following; f(x) = x² + 3 g(x) = 2x - 1 find…

A: 1) Using composite functions idea 2) fro the definition of identity function  we can answer to this…

Q: x4 – 4x³ – 4 4 f(x) a) Determine the intervals on which f is concave up and concave down. f is…

A: Given function is                                                 now derivative of the function…