Given s(t) = t3 − 4t + 8, evaluate. s(a)

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

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

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

Q: (x2 – 1)y" – 2xy' + 2y = 0 - tion ofS the o uation

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Q: (n² – 3n – 21) ÷ (n –7) -

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Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 5) Find the general solution by using reduction of order method to t?y" – ty' – 3y = 0 given that…

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Q: Show that kT| e-t²/kTdt = (kT)3/2 " 0. 2

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Q: "-y'-12y=x * O y= C1(e^4t) + C2(e^3t) + (t)/12 + 1/144 O y= C1(e^4x) + C2(e^-3x) + (-x)/12 + 1/144…

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Q: Q3:B. Find the convolution between the signals h[n] and x[n] shown in Figure below using analytical…

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Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given,             Since a certain virus has been contained in Wakanda, researchers have proven that…

Q: Find a particular solution of (8) y′′′−4y′=t+3cost+e−2t.

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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,…

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Q: Find the general solution of y' + ny = emx for all m, n. Note: The case m = −n must be treated…

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Q: Q:2: a) Find implicitly, if y²cosy +x² = 2xy

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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).

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Q: For ſ k*e3* dx = 1 (ke)3x 3 (1–In 2-1) + C. If u = 3x, then k =?

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Q: 6/11 - 8) AT= 12 RT = 4x S. T %3D doesn't R

A: Given: A parallelogram STQR. As per the property of parallelogram, the diagonals bisect each other.…

Q: Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

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Q: L(cosh 4t) = %3D .a s²-16 .b O s2 – 8 .cO s²+16 S

A: option :- a

Q: A pitcher of buttermilk initially at 25°C is to be cooled by settling in on a place where the…

A: Given: A pitcher of buttermilk initially =25 degree C is to cooled by settling in on a place where…

Q: nd the general solution to: 2yy -e^ = 0, |

A: The question is taken from the calculus in which we have to find  the general solution of  given…

Q: r²[(x²-y²)²] 1²₂5²² du dt x+y

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Q: Assume the model: Y = 5 - 2X + e , where e ~ N(0,81) What is the Pr(Y>10) when X =2? And What is…

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Q: 4". Sy' 8y Sx'e* y10)=8, y'l0).S X-

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Q: 7. Given: x + 3y – 2z = 4; 2x + z=-3; and 2y + 3z = -1 What is the value of x + y + z?

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Q: K(t)= 20+ 11t K(5)3D %D

A: We are given k(t)= -20 +11t

Q: 7. Given: x + 3y – 2z = 4; 2x + z=-3; and 2y + 3z =-1 What is the value of x + y + z?

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Q: y"+ 4y = x What is the particular solution y.? Yp

A: helar we have to find particular solution of the given differential equation. the solution is…

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

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Q: L|(x - 2y + 2) ds. Evaluate S: z = 18, x2 + y² s 1

A: Given query is to find the value of the integral.

Q: O y'+ (oy -asin 8t y W): -1 2

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Q: 3t when LI 1 ニe then L %3D S- 3 S-3

A: If Laplace transform of the function f(t) is denoted by Lf(t) or F(s), then the Laplace inverse of…

Q: A pitcher of buttermilk initially at 25°C is to be cooled by settling in on a place where the…

A:

Q: Find the value of x and KL if K is between J and L. JK = 2x, KL=x+2, and JL = 5x - 10.

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Q: Find the general antiderivative of f(x) = = + C -28²³-03-2/3 + √²

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Q: 2s + 5 cosh t L- s2 + 6s + 34 et 5s L-1 (s – 2)² 3t -

A: Laplace transform of the function

Q: L(cosh 4t) = %3D s²+16 .b O s²-16 .C s2 – 4 I. .d O s2 - 8 SI

A: We will find Laplace transform of Cos hyperbolic function

Q: During a recession, Congress decides to stimulate the economy by providing funds to hire unemployed…

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Q: 3x The y, of y''-6y'+9y = by using variation of parameters is: .A Y,(x) = -In(x). e 3x 3x -e |

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Q: Is a solution of the diffrntish epuation 1 yy'= -X+ with y E € ]_9,GE with x € C-G,G] 2. 3)yy:…

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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: Find the general solution of the ODE. y" + 4y' + 4y = x-?e-2* on (0, 0)

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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: Q2) let A = [ 1 find e4t using Gauss-Jordan method.

A: First we will find the eigenvalues and corresponding even vectors of the matrix by Gauss-jordan…

Q: his problem to find out. k Hioshi found that of his class prefers vanilla ice cream, 26% prefers…

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

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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).

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Q: eAt = I + At + A²2 + + 2! k! k=0 o compute eAt and e-At (; ) 1 A = 0 2 eAt = e-At Need Help? Read It

A: Given, eAt=I+At+A2t22+...+Aktkk!=∑k=0∞Aktkk! A=1002A2=10021002=120022⋮Ak=1002⋯1002=1k002k

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.