Use convolution to find ƒ (t) = L¯¹{F(s)}. = 1 son s(s²+9) 1 a. F(s) = b. F(s) c. F(s) = (s²+1)² s² (s²+16) 2

Q: b) Find f(")(x) is f(x) =

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A: Given that: f(x)=-x27+45

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A: Let's solve.

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Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: Find the values of c and d that make the function continuous. C = d= f(x) = 6x cx²+d 7x if x 2

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Q: At what interval is y=2x4-4x2 decreasing?

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Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: x(t) = ?

A: Given: x'=3-22-2x+12e-t comparing this by  x'=Ax+b The homogeneous solution:…

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A:

Q: Find the value of C if f ′ (x) = 2x2 and f (4) = 5

A: Given,    f ′ (x) = 2x2 and f (4) = 5

Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: Find the average of the function f (x)= 9x² - óx over [0, 2]. O a. Average = 10 O b. Average = 12 O…

A: Here, we need to find the average of the function f(x) = 9x2 - 6x over [0, 2].  We know that,

Q: Find the interval where the function, f(x) = 5 V3x – 2V3x + 57 is increasing?

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Q: Find  f(−6). f(x) =    x2 + 13 f(−6) =

A: Given  f(x)=x2+13 f(-6)=?

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

A:

Q: Consider the function f(x) = a. Find f1(x). b. Graph f and f x +9 2-7x together. df 1 c. Evaluate at…

A:

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: f(x) = x O A. -2 O B.

A: None of the options are correct, correct solution is given below

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Q: Aind (f.a)) when f(x)=x?+8x+15 Land ga=

A: NOTE: Refresh your page if you can't see any equations. . .

Q: 20. f(x) = x + sinx, 0≤x≤ 2π.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Q3 Pind Domain for the functionsS:- x+4 All A// P(x) = 2?-4

A:

Q: h(x) = 3x5 – 20x³ + 50x + 2e* + 3 secx

A: We know the derivatives:ddx xn = nxn-1ddxex = exddxsecx = secx.tanx

Q: ex - 32 √x +x 22

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Q: Į xe X.L(x)L4(x) = %3D Select one: a. 0 b. NOT C. 4 d. -4 e. X OO O O

A: