Prove that J3 (x) dx + J2 (x)+J, (x) = 0

Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: f(x) = 8+x 8 - x on [4, 6].

A:

Q: Show that In (x+ Vx? + 1) x2 x + Vx2 + 1 dx x + / 2v x² + 1 X + V x2 + v2 +1 + 1 Vx+ 1 x2 + 1

A: This is a derivative problem

Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

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Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

A:

Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: Express ƒ(z) = 4x² + i4y² by a formula involving the variables z and ž.

A: Let,

Q: Determine y'of (3x + 1)*(2x – 1)³

A:

Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

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Q: Prove that dl = (Vu) x (Vv) - do.

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Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: or f(x) = 2x-7 3x - 2

A:

Q: Find the linearization of the function at x = 1. * f (x) = 2x³ - 3x + 7 O y = 6 + 1(x - 3) O y = 6 +…

A: Given, fx=2x3-3x+7

Q: Compute f 3 2 x-5x+6 dx.

A:

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: Compute sin (3r)dr (25z4+1)2 -

A:

Q: Let f(x) = (3x + 7)(3x² + 2)8. Compute f'(x).

A:

Q: Differentiate y = In x*V1-3x (2x-1)2 4 A. 4 | 1-3x 2x-1 4 4 1-3x 2х-1 4 C. X 1-3x 2x-1 4 D. +. 1-3x…

A:

Q: Compute f 2x-1 (x-5) (3x+1)(4x-7) -dx.

A:

Q: Show that Sx cos*x dx = (x² + x sin 2x +cos 2x) + c

A: Given: ∫xcos2x dx=14x2+xsin2x+12cos2x+C.