Find the convolution of f(t) = e (24) and g(t) S 4, 0 5 (f * g)(t) = %3D

Q: H(t) models the rate of hoverboard sales, in hoverboards per day, from an electronics store during…

A: H(t) is the rate of hoverboard sales, in hoverboards per day. To get the exact number of sales over…

Q: Find 7(1). 1 L (s + 7)3) e f(t) =

A:

Q: Use the Chain Rule to find f"(x)

A: We have to find the derivative of f(x).

Q: Find f(X) and then evalvate f at X =2 3メ+1 3x2+ 1 f(x) = %3D f (2) つ. ニ

A:

Q: f (x)> 1+3x +x a) Fincd Ts, a (x) for a E R. b) Expana and simplify T3,a (x) as much as possible.…

A: given function fx=1+3x+x3 a) find T3,ax for a∈ℝ b) expand and simplify T3,ax as much as possible.…

Q: Find F(s). F(s) = Le{(2+ (2t + 1) U(t − 1) -

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Q: The total cost incurred by time t in the production of a certain commodity is f(t) dollars. The…

A: Solution

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

A: If  P0  is initial population and r is the rate of growth, Then the population growth over the time…

Q: A store noticed that it could model its yearly profit by the function p ( t ) = 0.3 t 2 + 4.8 t − 9,…

A: The function is pt=0.3t2+4.8t-9.   Substitute 1 for t in the equation pt=0.3t2+4.8t-9.…

Q: When is f (t) increasing at the greatest rate?

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: Let f(1) = 2 and "(1) = 3. Suppose g(a) = f(a)]. Calculate g(1). %3D

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Q: S(t) = 0.1 x (100-t)0.5, 0<=t<=100. Please calculate: E(T) Var(T)

A: Solution: From the given information,

Q: 5 Find f such that f'(x) = - √x f(16) = 49.

A: f′(x)=5x,f(16)=49

Q: etermine the intervals where the function f(x) = x 2 e −x is increasing and where it is decreasing

A: Determine the intervals where the function f(x) = x 2 e −x is increasing and where it is…

Q: If f(x)=xcos x , then f'(E) equals +1 (e) 1-2 (b) (a) 2 (d) (e) none of these - 2

A: Given  f(x) =x  cosx Find: f'π2 Solution: Formula: ddx(uv) =udvdx+vdudx       ---------------(1) Let…

Q: Let g(x) = | F(t) dt, where fis the function whose graph is shown. y f 12 1 (a) Evaluate g(x) for x…

A: Given The given integral is  and the given graph is  Apply formula  The area of the right angle…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 6. A small metal bar, whose initial temperature was 20°C, is…

A: Given,Initial temperature is .Then,Then, by the formula of of Newton's law of heating we…

Q: (X),4 %3D (b) Compute the derivative of f(x). (g) 4 (x)J – (4 + x) 10xh + 5h“ – x + 8 8 + x – 2. (a)…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.