3y(y+7) 1. Simplify (y+7)(y² –9), under what conditions is this expression undefined?

Q: -8s2-5s+9 Find L- (s+1)(s² – 3s+2)

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Q: 2(s-3) L-1 s²–6s+13) (ix) 3s+2 (x) L- (s2-8s+25)

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Q: 51. y = 3x + (V3 – 5): and y = -J3x + (-/3– s)

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Q: - 4.9t tlut t600=0 t--14 士 + 4ベ49せo0 - 2<4:4 tz 12.59 tキーve

A: solution of quadratic equation is given by :when ax2+bx+c = 0x = -b±b2-4ac2a

Q: 2r+1 h (x) = 4x-I o h' (x) = (x) 14 4r+2 o h' (x) = x+2 4x-I o h' (x) = x+1 4x-2 O h' (x) = x+4 2r-1

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Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: 3s +25 5) y=L-1 s² +6s+13

A: In the case of multiple questions we are ordered to solve first unless asked specific one. So I am…

Q: x2-2x х3 - 3х2 A - In Ix-3x² | + C C In Ix - 3x2 |+C BIn Ix - 3x2 I + C D In I x 3x² | + C A B.

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Q: Between z = -2.76 and z = -1.25 To the right of z = 2.35 To the left of z = 0.35 To the right of z =…

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Q: 2s-3 Find Ll4s+5 s2–4s+5 |

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Q: L- %3D S3 II 1/-

A: The following formula is used in solving the given function. L-1n!sn+1

Q: Differentiate all three problems

A: Given functions are

Q: 4 9 5- .2 13) =D1 7 2+-+ X x²

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Q: Evaluate 6(4z² +10z+1)dz, where C is drawn in the figure 2i 2

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Q: It is possible to rearrange the expression 1 ax + b + x - 1 into the form Rx² + Sx + T x - 1 where…

A: SOLUTION IS GIVEN BELOW

Q: 3s +25 5) y=L-1 |s²+6s+13 ]

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

Q: 2)y"-9у-0 -9Y3D0

A: y''-9y=0

Q: 10. dt 1+ 64t2 -1 A) 2sin-1 8 B) C) 2tan-1 D) 2tan-18 A B D.

A: Since you have asked multiple question,As per our policy we will solve the first question for you.…

Q: 17. 3+7x + 3x +r Terms: Coefficients: Constants:

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

Q: Help

A: 16) Given: x=5y-3 and y=-2a3 To write x in terms of a, substitute the value of y in x

Q: At 4/3 5 6 b. Suppose mZ3 = 105°. Find m26

A: Corresponding angles: If a line intersects two parallel lines, then the corresponding angles in the…

Q: 4. y = vx +2 %3D x,for - 2 < x< 2 2, for x22 (x-1,for x< -2 5. y=

A: To sketch the graph of the given function and determine the domain and range.

Q: - 25. 16: Substitution Method ( 2a3 + 3z dx x4 + 2x2

A: To find the integration of followingI =∫2x3+3xx4+2x2dx

Q: how was the y=x^2 transformed? The blue line is y=x^2 the red one y=-28/289(x-21)^2+28

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Q: 52. f(æ) = (-1)**(x – 2)". %3D n=1

A: Radius of convergence problem....

Q: 3s +25 5) y=L-1 |s²+6s+13

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Q: 2. у" — у%3D 4 сost у (0) %3D0 y'(0) = 1

A: We will find out the required solution.

Q: O a. x3 + y= 2 2 7x = byر*"3e-x- 2 + Oc. O C. y= -2x/2x -1 3 = y2+ ر3 - فرod

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Q: 1 Find L-1{,} by convolutions. 's²-5s+6

A: The function is: fs=1s2-5s+6 The objective is to find L-11s2-5s+6. Taking inverse Laplace Transform…

Q: _(2²² + y² + z²)³/²dzdydx 1-z²-yª

A: Given ∫-11∫01-x2∫1-x2-y20(x2+y2+z2)32dzdydx Given instruction: To solve this integral convert…

Q: 3s +2 1 Find L-1 s2 + 4s + 29

A: To find laplace inverse.

Q: (D^3 - D^2 +4D -4)y=8-e^x + 4cos(2x)

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Q: 1. (18pts) Find / simplify each: V100x*y7 + V54xy2 3 4 1 -2 2y5 2x4 205x V10x2 Rationalize * 3 1…

A: Simplify

Q: 4(x+ 4) Evaluate x-(xy-y) for x satisfying = 5x + 20 and y satisfying 9y-8 = 7y+24. 3…

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Q: ) (4D1- 80 70² + 10+ 6) y= 6 2) (4D" + 4D 3 - 13 D² - 1D + 4) y•o 3) (Db-4D+ 9) y=D 3 (4D+ 4D?+ D)…

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Q: 13. (4a).a 14. (3xy)?. (-4x³y²) 15. (4a b°c®) (2x424-4 -x, 6H03 a Y 6407 16. 3d 6a b? 17. 32xy 4ab…

A: Here we want to reduce the given expressions.

Q: 3. 5x + 5y = 15 2r - 2y = 10 Y-exie X-8xis 3. 2. -2 -4 -5

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Q: 4e*-3dx -12 O a. 4(e-1-e-12) O b. (e--e42) O c. 4(0² -e42) O d. O e. 4(e--e)

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Q: 2 35+65+2= x de dk ds S₁-042 V S21=-1-577 B √√²-4AC ZA

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Q: Q2/ (A) Evaluate 4-x x3 2 dydx 4-9 Ans. 16 8 e

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: A B 3-5 In Ix-31+ C X --5 In Ix-31 + C x3 3x²+5 (x-3) S: C dx x3+5 In Ix-31+ C D x3 +5 In Ix-31+ C

A: Evaluating the indefinite integral

Q: x2 + (3y ÷ 6) − z  when  x\ =\ 9x = 9, y\ =\ 8y = 8 and  z\ =\ 11z = 11

A: x2+(3y÷6)-zx=9 , y=8 , z=11

Q: 9. 2(x + y) 25(x-y') at (3, 1)

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Q: 2x+y-52 +l =. X-y+ 2-6= 0 4x+zy-32+8 =

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Q: 8. 5) Evaluate | x2n-1e-kx² dx

A: Definition of Gamma Function:  The function which is given by the improper integral  Γ(n)=∫0∞ xn-1…

Q: 10. y =-x + 4x - 3 ア=ーx+ 1 11. y = -x + 2x + 4 12. y = x-x-6 y = 2x-2 ア=-x+4

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Q: %24 2) y= 2Vx+1 %3D 9- 9- レーメ Ay 3/ 1) y%=

A: Topic = Functions

Q: 3(xn)2+8 7 : If xo = -4, find x2 corrected to four %3D

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Q: 33) f(x) = |2x- 1| %3D 57 3 2 1- 5 4 2. 1 3. 1- 2 3- 55 5,

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.