by first – shifting find L(e-3t t4) = %3D 24 .a O (6+3)s 0 12 (643)* *9 6. (s+3)4 *0 12 (s+3) 5

Q: Use Euler's Method with h = 0.1 to approximate the solution to the following initial value problem…

A: I have added 3 photo please check

Q: Add. (7y +y- 5) + (5y² - y -6) (7y? + y- 5) + (5y² - y-6) =D (Simplify your answer.)

A:

Q: 2/3x=-8/3

A:

Q: = 7x3-3x2 +x+2 and B one: 5x3 +7x2-11 b. -5x3 +7x? – x - 11 -5x3 + x2 +x- 11 c.

A: Given: A=7x3-3x2+x+2B=2x3+4x2-9Find: B-A

Q: If possible, write -11 - 6z + 5z? as a linear combination of -2 - z+ z?,2 - z? and 5 +z- 2r?.…

A: We have to show whether -11-6x+5x2 can be written as a linear combination of  -2-x+x2,  2-x2  and…

Q: D 10 в 4 х 12 t+6 с

A: Topic:- geometry

Q: What is the LCD of 17/6x, 11/3x+3

A:

Q: Find two First terms whose product is 3x. 3x? – 13xy + 4y² = (3x ?y)(x ?y)

A: Given that, 3x2-13xy+4y2=3x    ?yx   ?y

Q: 2t3 2. Evaluate dt (4 – 2t4)11

A: We have to solve the integration

Q: 18 = 4(3)4x-1 C.

A: Then take ln on both sides

Q: 7 >(2k – 7)(5k + 4) k=1

A:

Q: Find: W(e2x, –5e3x) A. 5e3x B. 4e5x C. -5e5x D. -4e* E. None

A:

Q: d 16.– (2log 3x) dx

A: We have to find the derivative of ddx2log3x We know that ddxax=addxx Where, 'a' is constant. So, we…

Q: 6 Q3. Evaluate Σή=1 5n2 - 7n.

A:

Q: $3000. 300-€ e

A: Given :e∫3300-tdt

Q: d (ae dx 3lnx 3x -

A:

Q: Find the answer for X 18 X = 6.

A:

Q: S,(3x2 – 2x + 1) dx

A: We know the integral formula, ∫xndx=xn+1n+1+C

Q: ted operation: O+ 1)2 (x²e*) Der

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: veify For nzl that 2n t i73+5 tn t (2n-1)

A: To verify : For n≥1 ,   prove that 12+ 32 + 52+........+ (2n-1)2 = 2n+13

Q: he LCD of 7/6x and 8/3x+12

A: LCD is the lowest common multiple of the denominators of a set of fraction .

Q: Directions: Evaluate each expression given the 1. 9a- ab +5b if a = 2 and b = 7 %3D %3D 3. 3lM+(v-x)…

A:

Q: az Find if yz – In z = x + y ax 3.

A: We have              yz-lnZ=x+y

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

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Q: A = - 13 -2 1 3 0 4 , C = 2 1 7 2 -3 5 -9

A:

Q: If possible, write 25 – 21x – 14x² as a linear combination of 2 − x − x², 2 – 2x − x² and 3x − 3 +…

A:

Q: Which of the following operations is commutative? Select one: O a. a +b a 4b ab O b. a vb = a^b %3D…

A: We know that commutative property means the value remains same even if the variables are…

Q: (2x + 11)° 14x – 3)º

A:

Q: evaluate SSD (1+4x34y²) ½ dA where O is the bottom half of x²+4² = 16

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: b. 23x-2 = 16% d. (V3)* = 92x+5 %3D

A:

Q: Evaluate √3x So So dydx √√x²+y²

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Q: + 3 In 3 2 In 3

A:

Q: 6(2x + 5)  = 10(4 + x)  then  x = Select one: a. 15 b. 5 c. 20 d. 10

A:

Q: 13 + 6/y when y=6

A: To evaluate the below expression when y = 6. 13+6y

Q: 8 4 dxdy

A: Given,             ∫08∫y24ex2dxdy

Q: – 6 + 3x = -4(x – 5) – 1

A: Given :-6+3x=-4x-5-1

Q: Which of the following is equivalent to (2r*) - (4x-*)?

A:

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.