x-7y+4z 14.7 %3D -x-0.9y-4z = 19.5 x+2y+5z 11.5

Q: Evaluate the integrals

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Q: solve the systems of equations graphically

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 2.r³ – 5x²+4x– Ar 4 dx

A: Given:  ∫2x3-5x2+4x-4x2-xdx           =∫2x-3+x-4x(x-1)dx            =∫2x-3 dx+∫x-4x(x-1)dx By using…

Q: 2 - (4x² – 8x5)(x³ – x6)-8)dx 4х-1

A: Given an integral : I=∫2(4x-1)-4x2-8x5(x3-x6)-8 dx We need to find the integral. Let's begin.

Q: 3) 2dx 2dx (3x+12x-15)호 x(3(\nx)"+1지lnz-15)호

A:

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

A:

Q: 2. S (5x-12) dx x³-6x²+8x

A: Given, ∫5x-12x3-6x2+8xdx

Q: 1. f4x-³ dx -3

A: Find the integral

Q: (x²-2x+11)dx (x²+3x-4) .2. r2.

A:

Q: 3 (x² –4)7 dx

A: Use trigonometric substitution to integrate

Q: (e) 2x – 25x + 27=-15x-10 (d) &x + 36x + 24 = 12x + s (e) x² + 6x +15 = 8x -2 (1) 4x + 38x + 50 =…

A: 1d. Given, 8x2+36x+24=12x+5

Q: Using Reciprocal Substitution dx For S xVx²+2x-1

A: This is question related to reciprocal substitution in integration.Solution is given below.

Q: y = (5x² – 4x + 1)5 y = 7x - 4x y =ln (2x – 1)

A: Topic = Derivative

Q: (4x +5) dx S(3**-1)" 3xdx 4. |(4x -5) 8xdx @ S10x(5x*+3)" dx 5. 6.

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

Q: Integration of (x+4)/(6x – 7 – x²)

A:

Q: 2) Min Z = 5x1 +6x2 X1+ 9x2<60 2x1+3x2 <45 5x,+ 2x2220 Sub. to X1, X2 20

A:

Q: E(-4X + 4) = | 5z - 4X - 0 %3D 4 Var (sz) + 5 0 E(2x*) - I

A: Given,  E(X)= -6 E(Y)= -9 E(Z)= -7 V(X)= 32 V(Y)= 38 V(Z)= 37

Q: Integrate: S (4z° S (4x² – 3x + 1)* (8x – 3) dæ

A: Integrate above equation by substitute.

Q: Antiderivative of 3x

A:

Q: 5. 1 Z+₁ 3z 2 dz

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: 3x2 dx 1. J3-5 2. S 2x dx x2-1 2x-2 3. S x2-2 4. S 5x-6x dx x5-3x2 5. S 10x*+3x*+4x dx 2x5+x3+2x2

A:

Q: LL6- 25 – 3°) dy de (6 –

A:

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

A:

Q: 2 (3x- 2) dx Вх — -2

A:

Q: Max z = 5X1 + 8X2 Subject to: X1 = 0

A:

Q: 8x 5. S dx 2. 2. (4x +3)

A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

Q: 2x³-4x-8 2. S; dx (x²-x)(x²+4)

A: Topic:- integration

Q: 2. x°ー×- 8x ー1 dx x²-3X -4 2

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: 3 d. S16 – 3x| dx 1

A: We have to solve given problem:

Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

A:

Q: Ò(Éx-13x² +15)dx 6. 7. Ò ()dx 8. Ò x²(3/x+16x-2)dx -x²+1 dx x*. 9. Ò 10. Ò (3x– 2)° dx

A: Answer 6)       I= ∫23x -13x2+15 dx        = ∫23x dx  - ∫ 13x2 dx + ∫15 dx        = 23∫x dx  -13 ∫…

Q: dx 1. 5+x2 dx 2. V4-9x2 dx 3. х V16х2-25 dx 4. x²+4x+13

A:

Q: (-x³ + 3x² + 1) dx 2) (x* + x³ – 4x² + 6) dx -2 3) 12x + 13) dɔ 4) -x³ + 3x² – 2) dx

A: Follow the procedure given below.

Q: (²-1) x(2x* – 2x² +1) dx is equal to 2x* - 2x² +1) x(x² –1) (2x* – 2x² +1) (b) (2x* – 2x² +1) (2x* –…

A: The given problem is to integrate the given function. We can't use standard formulas to solve so we…

Q: fea)=4(2 grath /decay

A:

Q: 2) Min(Z) = 4X1 + 6X2 S.T. 5X1 + 10X2 12 X1,X2 20

A:

Q: x² + 2x x4 - 3x² - 4 S dx

A: To find the given integral ∫x2+2xx4-3x2-4dx

Q: Integrate x/x+2

A: Using Substitution.

Q: 3. -2x-4 dx x-3 6x 4. (x2-7):/

A: (3).   The given integral is: ∫x3-2x2-4x-3dx

Q: (3z² + 1) dx (2 + 2x + 1)²

A:

Q: tions: (4, 7); y = 3x + 6 %3D

A:

Q: 2x- 17x + 16x-64 3. S dx (By Partial Fractions) 4x4 - 16x3 + 32x2

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

Q: Differentiate y= Vcos-1x 1 2/1 – x²Vcos-1x 1 2vx-x²Vcos¯1x 1 V1-x2 Vcos-1x 1 2vcos-1 x

A:

Q: 2. S(-18z +36)( - 2z - 4) dz

A: We need to evaluate the following integral ∫-18z+36-2z-4dz Formula Used: ∫zndz = zn+1n+1+C

Q: 2s+1 1. L-1 (s+1)²,

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

Q: antiderivative of 5x^1/2

A: Given : ∫5x12dx

Q: 3. 6x 3x3 + x2 xp (푸- + 9)/ E 16 4. S(4x+ 3)² dx x3 + 12x² + 9x + C 3

A: I am attaching image so that you understand each and every step.

Q: 4. S Vä(x² + 2) dx 5. S(-3 Vã – 6x v7) dx 6. (9x*-6x²+7x²-5x+15 dx 3x

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.