Find y" if y = ax³ + bx+c. (a, b, c constant) Answer:

Q: 1/Ccmpkte Srist Jor Lods 1. X CaSCX y) dxdy.

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Q: S- VE + 4) dx b)

A: We have to evaluate given integration ∫5x4-x5+4dx

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Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

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Q: 2p- dz 3.

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: X+2y=3 , x-y=6

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Q: Xem. Scm. 1Scm.

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Q: 6) ) x-4 y=-x+1 A) (3,-3), B) (43)

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Q: y%32x-3 find y C) X2

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Q: +3 2y +1 4x-35 5y-8 4 11/5

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Q: -4x+8y= 24 6x-4y=-10

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Q: 2) Find the value of each variable. 2x+11 6x-9 a) x = b) x = y%3, W 52 (6y-2) (4x+20)*

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Q: Solve by factory 3 2y - 19 √ÿ- - 24 302532

A: Consider the equation

Q: (a) (b) (c) dy dt dy dt y (0) dy dt || - t sec(y) y (e¹²) 2t + sec²(t) 2y == 5 -t (y-1)² 3

A: Here, we have to solve given differential equations using method of separation of variables.

Q: Make-y the subject-of-x- x = 4y - y²1 I

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Q: y=4x2 Tell if x and y are proportinal

A: We are asked to find x and y are proportional

Q: 83 R2)Real numbers and their properties 13,0,441, 277, 3, Jia 3, that belong to eacl. 3et 113t au e…

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Q: x = 32 - y2, x = y 2, y = 0

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Q: Find x+y, if:    2x+3y=8 and 3x+5y=13

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Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)