2. 2 +3+5t t(2n-1)=h(2n-1s (2nt) %3D 3. for all nz I

Q: Question number 7 please

A:

Q: 1 7) Find the antiderivative: S 3x2-6x+12

A:

Q: Find y(t) for the following: + 글e- 2 –5s Y (s) = s-3

A:

Q: 4. 5 Show that if y%= x+4 then dx (x+4)** %3D %3D 16. dx. 2 (x+4)² **n Hence, find the value of|

A:

Q: Find y(0) and y(inf) for the following: a.) Y(s) = (0.9*(s+1))/(2.1s^2+5s+16) b.) Y(s) =…

A: Consider the calculation for the sub-part (a). Substitute s = 0 in Y(s) and simplify to calculate Y…

Q: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

A:

Q: 1. The number of bacteria in thousands in a refrigerated food is given by N(t) = 20t – 20t + 120 for…

A:

Q: The tanh$ (2x) sech (2x) dx is equal to O A. None of the choices in the list. O B. tanh (2x) +C OC.…

A: Given integral is  ∫tanh52xsech2xdx

Q: Solve (x² + 4)y' = 2xy In|x] = In(y? + 4) +C O Option 1 Inlyl = In(x² + 4) +C

A:

Q: Find the most general antiderivative. 2 4.9 #13 f (x)

A: The general antiderivative of f(x) is F(x)+C, where F is a differentiable function.

Q: d the general solution of the following first order x = 5x1 – 6x2 + 3e2t x2 = 3x1 – 4x2+e²

A: Rewrite given equation as (D-5)x1+6x2 =3e2t              ...(1) 3x1+ (D+4)x2 =et…

Q: 3s L-1 (s+2)² O 3e-2 (1 – 2t) O In () 4 6te² O 3e-24 (1 + 2t) O 3 t e2t 3te-2t O 3e2' (1 + 2t) O {(e…

A: We have to find

Q: Q2. If the solution of the below first order D.E is y = C ef(x.y) (x³ + xy²)y' = y3 Find the f(x,…

A:

Q: 3. Sy? e2y dy

A:

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

A:

Q: Find y(t) for the following: 8 1 + s - 3 Y(s) -2s * e

A: Consider the given function, Ys=8s+e-2s×1s-3 use the inverse transform rule which states that, if…

Q: 2 Calculate e(0) and e(0) for 1.98z E(z) = (z? – 0.9z + 0.9)(z - 0.1)

A: Ez=1.98 zz2-0.9z+0.9z-0.1Now put the value z=0E0=1.9×00-0+0.90-0.1=0Becouse 0x,x≠0⇒0Now E(z)=1.98…

Q: c. h(s) Σ n! (3x-2)" n=1

A:

Q: A radioactive sample decays according to the law - -hy where k>0 Suppose c represents the size of…

A: From the given differential equation:   dydt=-ky   So, dy=-kydt...Integrating on both…

Q: 1. Determine the following: 8. S(V)° -+ - 9 7 dx (4x-1)3. 2-x 2x5-4Vx+3 h. S

A:

Q: Q2. If the solution of the below first order D.E is y = C el(x.y) (x³ + xy²)y = y³ Find the f(x, y).

A:

Q: S[e²t. √4+e²] dt

A: Evaluation of the indefinite integral, by using substitution method

Q: 3. The value of c is given by Vn А. /n+1

A: This is a limit problem

Q: 9. Approximate both solutions of e* 5x to three decimal places

A: Given, The two curves y = 5x   and   y = ex   We have to find the solution of  ex = 5x  graphically.…

Q: Find y(t) for the following: 8 1 + s – 3 -2s Y (s) = *e

A: Given, Ys=8s+1s-3*e-2s

Q: Suppose that k = 0,2hr−1 and that the smallest effective concentration is 0.04mg/ml. A single dose…

A: Given

Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

A:

Q: Consider the following IVP: y' = e; y(0) = 2

A:

Q: 6 3 e dædy 2.

A: To find the value of the given double integral: ∫06∫y23ex2dx dy Here, finding the given integral…

Q: 1-find the value of z and x, 2- find (A") + d* (x². e3*) 3- find (A+ 3 lm 3), 4- 2A*A", 2r + Z+ y= 2…

A: Given: The equation are  2x + Z + y = 2 x - Z + 4y = ln 1 x + 2y - 2z = 4

Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

A:

Q: Find the sum of E n(n + 1)x" = for < x </

A:

Q: L %3D e2t e-3s-6 (s+2)? O e6-3s ( 1 3 + S+2 (s+2)2 O e-3s (s+2)2 1 3 s+2 O e2-3* ( +) 1 (s+2)2 s+2 O…

A:

Q: -5 #2. Suppose that S„ƒ(x)dx= 6 andS²,g(x)dx= -4. Find S°,[3f(x) – 0.5g(x)]dx.

A: To evaluate the given integral apply the following rules.

Q: 1. If rxty = +1 and rx2y = -1, can you tell what happens to ry when we combine x1 and x2 into a new…

A: The correlation coefficient is used to calculate the linear relationship between 2 variables.…

Q: 8. Given av av 25202v ат +S as² as find a change of variable of S to x(S) so that this equation has…

A: Solution: Given ∂V∂τ=2S2∂2V∂S2+S∂V∂S-V given condition is a change of variable of S to x(S), So our…

Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

A:

Q: If g (t) = L − 1 {e − 5s + 4}, a formula for L {e − 6t + 10g (t)} is

A:

Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 MAX Z=- O 75 O 100…

A: Linear programming. Graphical method

Q: a x In the experiment of tussing a fair coin is the randam variable giving 3 times the number of…

A: Given three fair coins are tossed. So PX = 0 = 18P(X = 1) = 38P(X = 2) = 38P(X = 3) = 18

Q: 2x + 2. Find y' if e?* 3y = x² – In (xy³).

A: To find y' e2x+3y=x2-lnxy3

Q: 3. (36D² – 60D + 25)y = 0 5x a.y = Ge+ Ce 5x b.y = Ce+C,xe 5x c.y = C,xe + Cxe 5x d. none of the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Suppose P(t) represents the population of a certain mosquito colony, where tt is measured in days.…

A:

Q: 11) Internet rentals affect "k" Video in such a way that the demand for rentals of its DVDS changes…

A:

Q: of (d) If x = ;(s2 + 12) and y = s - 12, then at the point (s, t) = (1, 1), д is equal to 0 х.

A: Given : fx , y=x2y+sin(xy)+1   x=12s2+t2      ,   y=s-t2 To find : ∂f∂t at 1 , 1

Q: b) Find L[e* S (-os22) dt] and -1 4s+5 * ls-1) (s+2).

A: Laplace transferom and inverse Laplace transferom, using all the properties.

Q: 19) If y- find the value of yl.3y. 3' A) 3. C) 1 B) 0 D) 3

A:

Q: A production manager determines that t months after production on a new product begins, the number…

A:

Q: Q2. If the solution of the below first order D.E is y = C ef(xy) (x³ + xy2)y' y3 Find the f(x,y).

A:

Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

A: Convolution Theorem : If L-1F(s)=f(t) and L-1G(s)=g(t) then L-1F(s).G(s)=∫0tf(u).g(t-u)du. (As per…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.