Find f(t) if 40 F(s) = (s2 + 4s + 5)

Q: -f xy + a3 (1

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Q: Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

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Q: Find S f(x)dx if f(x) = [2 for x<2 [x for xz2

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Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

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Q: Find f. r0 - VD + Sx), 1) -9 X) =

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Q: determine L−1[F].

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Q: dx 19. Evaluate using substitution f V5-4x-2x2

A: I have used method of substitutions

Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: Find f(t). f(t) = -6s s3 + ) u ( t -

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Q: Find g(-T" 1+h -)-2 for h<<r r

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Q: 2- Find f(t) for F(s) = s+4s+20

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Q: Calculate, f(t) from 5s² + 30 F(s) (s – 2)²(s² – 6s + 13) - |

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Q: 2s (s² + 1)² 3) Find L¹ 40 by using the convolution theorem.

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Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: Find all critical points of the function:  f (t) = 8t3 − t2

A: If f has a local extremum (maximum or minimum) at C and if f'(c) exists, then f'(c)=0. A critical…

Q: then f(0) 2s2+2s+3 905 F(s) = +2s+2)(s² +2s+5) 2905 F(s) = L{f(t)} BIKE where

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Q: Find fx, fy, fz f(x,y,z) = x – V2y² +z?

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Q: 14. The f'(4) for y = v3x2 + 1

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Q: Find De f Re ー X - 2 2SXミ-1 y = P(x) = ーX+2

A: The domain of a function f(x) is the set of all values of x at which the function is defined i. e…

Q: Find L−1[F](t) if Q) F(s)=3s/s2+4

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Q: Find f(t). ℒ−1 {(3s-1)/s2(s+1)3}

A: From the given information it is needed to calculate:

Q: t² - t dt 0, = (x)6 g'(4) =

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Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: If f(x) (t3 + 6t2 + 4)dt then f''(x) =

A: Given :fx = ∫0xt3+6t2+4dt

Q: Find f(t). 2s s3 ]) «(-| f(t) =

A: Given that  Inverse Laplace of {e^(-2s)/s^3) To find Laplace transformation

Q: 2 The Range (Ry) of y = v9 – x² -

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Q: 3 V9-y s S f(1,y)dxdy. y)dzdy. y-3

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Q: What is the counterexample of x/x=1

A: Follow the steps.

Q: Find fr, fu, and f.. -0.5 f(x, y, z) = (4x² + 6y² + 3z²) fz = fy = f: =

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Q: Find f(t). 2s + 3 s2 + 4s + 13,

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Q: Consider F = (4x°y+0, 9x³ + 5y+). Then div(F) = Aæ²y!0 + By³. What is the value of B?

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Q: -3x2 F(x) = S*" t² dt %3D

A: TO EVALUATE THE FOLLOWING INTEGRAL F(x) ∫-x3x2 t2 dt FORMULA USED- ∫abxn dx = xn+1n+1 i.e substitue…

Q: Q4. Calculate div F where F = grad(x' + y³ + z³ - 3xyz).

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Q: 2x2 f' (æ) = If f(x) = V 1+t° dt, then

A: To find the derivative of integral apply the follow rule

Q: 4. Suppose y = 3x + 2. What is Ay if x increases by 3?

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Q: The Range of y = [2x + 1] is Z. FO * 2.2 2х-1 If y = Vx? – x then y' 3. 3 Vx2-x F O

A: Given(1)-      y=[2x+1]As we know that is set of all valid output values or all valid y values…

Q: Calculate, f(t) from 4s – 6 F(s) (s – 3)²(s – 2)³

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Q: Determine {F}. F(s) = 7s² - 13s +2 s(S-1)(s-6)

A: Let 7s2-13s+2s(s-1)(s-6)=As+Bs-1+cs-6       ⇒7s2-13s+2=A(s2-7s+6)+B(s2-6s)+C(s2-s)       ⇒A+B+C=7…

Q: If f(x) = |, (t3 + 4t2 + 7) dt then f"(x) = ||

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Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

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Q: = 0 for F = yz²î +xyj + yzk

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Q: dy 6. S: y3-2y2

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Q: Find d²y/dx2 for the followi f) x2/3 + y2/3 = 1 %3D ³ g) x + y = 16

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Q: 3s F(s) = s2 – s – 6 s - 6

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Q: + Vs + es +- ds n = 3 From left endpoint s² + 1

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Q: f(x) = { Sx + 2 1-x+3 x>-2 Dano

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Q: The demand for nurses in the US between 2000 and 2015 is estimated to be: D(t) = 0.7t2 + 0.265t +…

A: Derivative indicates the rate of change. Positive derivative meaning positive slope, which indicate…

Q: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16

A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2  =0.6

Q: Suppose X has the p.d.f. fX(x) = 1/√10πe^(-(x+2)^2)/10      (a) What is E(X) and Var(X)? (b)…

A: Given  fX(x) = 1/√10πe^(-(x+2)^2)/10

Q: Q4. Find the values of the constants a, b, c so that - - F = (axy + bz³)i + (3x² − cz)j + (3xz² –…

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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.