السؤال 10 L(2– 3t) 2= 4. 6 6 S s2 4 12 18 .b O S s2 4 12 9 s² 3 C O4 4 6. s? 3d O 3. + 2.

Q: 6. In circle 0, MLAED = 110, mAD = 5x +5 and mBC = 4x- 10. What is the value of x? %3D %3D A

A: We have to find x

Q: -6 -4 -12₂2 --4-2 41 y y 2 2 4 **

A:

Q: 5+(54 33)

A:

Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

A:

Q: Find dy. y=28+13x-2x

A:

Q: 1700 SGD (SINGAP0 RE DOLLAR) HA S 32 SQUARE METERS OF LIVIING SPACE . STUDIO APARTMENT KONG COST…

A:

Q: 1. Find 2(3z + 4)² dz.

A:

Q: 39 + 5 dy 5. (5y~7)²

A: Let's find.

Q: dx x? V4+x?

A:

Q: d 7. { x7 +1 Væ5 + 1 dx

A:

Q: 10 dx 7. S 4x3-4x2+5x

A: We use partial fraction method

Q: 1. L= V1 + 16x6 dx

A: First, we factor out 16 from the radical term, So, it becomes,

Q: 6 7. S 36+x² dx

A:

Q: 6x dx. Jo 1+x2 9. Evaluate

A:

Q: 7. Two bowling alleys prices are shown below. BOWLER WORLD Lucky Spares $5.00 to rent shoes $3.00 to…

A: Given two bowling alley prices To represent them in an equation. Let x be the number of games Let y…

Q: s 1 /x√√x + x dx.

A:

Q: +: 1+ x² ]dx

A:

Q: dx 14. Evaluate Зх — 12 A.ο В.1 00 D.0

A: Given integral is  ∫14dx3x-12 We also know that ∫1axdx=1alnx+c.

Q: Find x.

A: The given triangle is as follows:

Q: x + 4 1. Evaluate dx. Vr2 + 8.x

A:

Q: 2. Determine the following: а. f(8х3 — 2х +9) dx 3 4 6. Vx2 b. S 2-x dx - x2 3

A:

Q: 3. (0.002x4 -0.3x² + 4x - 7) dx

A: The given integral is    ∫-1010(0.002x4-0.3x2+4x-7)dx

Q: Given x = x=20₁ 6 what is the exact value of cos(2n-x)?

A:

Q: +1 dx -8 Evaluate

A:

Q: x +1 「マ-x-6 dx. х2 — х —

A: The integral is ∫x+1x2-x-6dx.   Factorize the denominator. x2-x-6=x2-3x+2x-6=xx-3+2x-3=x-3x+2…

Q: 2ェ+ 3z d 平

A: We can find the integration as below

Q: 9. 3 + 5x + 4 dx Find 26 3 + 5x + 4) dx x6

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Q: 9. J et dx 10. 4лr² dr

A:

Q: Evaluate

A:

Q: 7. (50 u) du + (3v - 7u) dv 0. ANS. (3v +u) = c(v u).

A:

Q: 4. Nancy can paint a fence in 3 hours. It takes Ben 4 hours to do the same job. If they were to work…

A: Answer and explanation is given below.. Option (a) is correct

Q: cotetan3e + 1= sec?e 2 csc?e

A:

Q: dx. x2 V1+ x2 Evaluate

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.