Assume w = 4 and r = 2 when t = 0. Does the number of worms increase, decrease, or stay the same at first? Does the number of robins increase, decrease, or stay the same at first? ? What happens in the long run?

Q: (a) D = (x + z)a, (b) E = (y² – x³)a, + xyza, + (x² – z?)a.

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Q: What is t' (x) if t(x) = ? ez

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Q: The National Weather Service uses the following formula to calculate the wind chill: W = 35.74 +…

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Q: H.W. Solue the followi'ng 3. px+9y

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: dx If - = Sh(8) d®, then h(0) de = ... V(4+x2)3

A: We will make use of only the basic techniques of integral calculus to solve this question.

Q: Find the convolution f (t ) *g(t) f(t)=t^2,g(t)=cost

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Q: Let Fo(t) = 1- e-0. (a) Calculate P(K10 < 80.5). (b) Calculate e10:100

A: we have F0(t) = 1 - exp(-t/90) ⇒ S0(t) = 1 - F0(t)             = exp(-t/90)

Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: xt=0xt-1 + Et +0€t-1 assuming that ø| < 1, and E(?) = 0², E(et, &s) = 0 ts.

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Q: dy 1. If a? + e 2xy = r + (y-2), find when r 0. dr2

A: We have to find second derivative at x =0.

Q: s Vã(4 – x)dx

A: Given: I=∫19x4-xdx We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx,…

Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: 土F ×= t+t AND FIMD

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Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: Q2. If the solution of the below first order D.E is y = Cefxy) (x + xy?)y' = y3 Find the f(x, y).

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Q: Suppose V N Geom(p) withp=0.49 and that W = 2V. Find P(W > 8), giving your answer correct to two…

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Q: if dx =3 then k =2e3 %3D - Select one: True False

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Q: Find H(−2) and H'(−2), where H(x) =

A: Here we have;  H(x)=∫-2xduu2+1

Q: Suppose that SpaceX launches a rocket at seconds and that its height, in meters above sea-level, is…

A: Given: Suppose that SpaceX launches a rocket at t=0 seconds and that its height, in meters above…

Q: (c) Will it always be true that W C X f(W) S (X)?

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Q: (c) For what value of t is p(t) = n(t)?

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Q: Find the solution of given D.E x?(1 – x)?y" + 2xy' + 4y = 0 |

A: Given:- x2(1-x)2y''+2xy'+4y=0 ⇒y''+2xx2(1-x)2y'+4x2(1-x)2y=0 Standard form…

Q: 5. f(t) = e*, -n < x < 0 %3D

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Q: Find based on the given information. y = e 5y +3 = x

A: Solved below...

Q: 80. If x? – y? = 1, find d²y/dx² at the point (2, V3).

A: Given: x2-y2=1 at 2,3

Q: (a) Find the effective noise Temperature Ts of an equivalent resistor with resistance equal to the…

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Q: k+ydy=e' k+'dy=e* dy (A) True B) False

A: ∫ek+ydy=ek∫eydy

Q: If the power of the rocket handler is given by [(t – 11)(t² + 1) + 5(7t – 5)]e-0.5t Where t is the…

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Q: Suppose a E R, where a > 0, a ± 1, what is[a*]? d @ xa²-1 xa"-1. In(a) © a² a* In(a)

A: Use logarithms to find the derivative.

Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: M J 23 K N. L.

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Q: Find the the point on the line l: +t 0 | closest to the point P(3, 2, –2). ||

A: The given line is                             l: xyz=101+t00-1 and a point         P(3,2,-2)

Q: For x=e y=In 2t, find y ' when x=e. x=e• 4e 4e

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Q: d If s, t > 0, find an expression for sPx+t• ds

A: Given information: Given that s and t are greater than 0.

Q: Which of the following equations determines E(XY)? »(x, x y (х, у) ,(x,

A: we have to determine the correct option of E(XY)

Q: 3. Find CH(t) when H(t) = (et-3)(e?-) %3D

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Q: Determine the value of k if |I +k dx = 2.

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Q: Determine all values z ∈ C satisfying  e^z = −2i.

A: ANSWER :

Q: For what value(s) of k will y 1 be a solution of ty" + (t – 3)y' + ky = 2te¬2t? e2t

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Q: If f(s,t) = 2scost + 3tsins, find ,.

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Q: Find AT, ATA, and AAT.

A: Given: A=13-1

Q: If the power of the rocket handler is given by P = [(t – 11)(t² + 1) + 5(7t – 5)]e¬0.5t Where t is…

A: To find the energy we take the integral of the given power function between t=1 and t=4.…

Q: Find AT, ATA, and AAT.

A: Given: A=3-120 we know that for given matrix X=abcd , XT is given by XT=acbd similarly, AT=32-10

Q: Suppose V Geom(p) with p = 0.09 and that W = 2V. Find P(W 2 8), giving your answer correct to two…

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Q: F.n) ds, w e given by

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Q: d(a*) Suppose a E R, where a>0, a +1 what is dr A xa*-1

A: To find:ddxax

Q: Find x E {0, 1, ... , 12} for which 1010 = T in Z13.

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Q: For x=In /t y=2, find y" when

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