d. P (X +Y = 4) %3D

Q: Calculate: fx²e³dx

A:

Q: dw for w = dx x+5 Find 2x-7

A: Use the derivative of the form f = u/v and simplify.

Q: 2 X 1 dx -2 4

A: Let's see a formula of integration. ∫a2-x2 dx = x2a2-x2 + a22sin-1xa + C We use this formula to…

Q: dx x2 + x - 2

A:

Q: 8х — бу — 36 %3D -2х + бу3D0

A: intersection point of two lines

Q: if g(x) = fcx)-メ+ Find %3D (5) © D.g

A: Hope the D indicate the differential of the functions.

Q: dy sec? x sec3 y dx

A: Here dydx=sec2xsec3y Using variable separable; ⇒dysec3y=sec2x dx taking integration both of sides

Q: ((-2x +5)dx

A:

Q: 5a 5y = 1 – 4x + 3y = 2 %3D

A:

Q: S X-X dx

A:

Q: (x5 + 3у)dx — хdу —D 0

A:

Q: Find the following.

A: Given: I=∫5x2-6x+3dx We know that ∫xndx=xn+1n+1+c…

Q: r4 2V dx Vx 15. 1

A: The integral is given by,

Q: [e³(5e* + 8) 6 dx.

A: see below the answer and calculation

Q: 3x? dx 2 + 4x

A:

Q: (d) P(X + Y = 4),

A: A discrete random variables are those variable which can assume only a finite, or countably…

Q: ZPSR (9x- 3) (4x - 12)° Q.

A:

Q: Questlon fx)=-3x +5 7. y%3Dx

A:

Q: find dy dx %3D

A:

Q: (2х - 9)4 dx

A:

Q: dx X+8

A:

Q: y = Vx – 2, y = x – 2 %3D

A:

Q: 5. (2x + 3V )dx 2х + 3уx

A:

Q: 3. e2In 2x %3D 4x. B 2r. 4x D In 2x.

A:

Q: 3x - x² X3 %3D xp

A:

Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: find y' for Zy%3D2X-2y

A:

Q: y = r3 – 2x. %3D

A:

Q: 8. 7 | 5 6.

A:

Q: 7²y+3y1 = -8 dy/dx %3D

A:

Q: That sove dy dz² -244 %D 2

A: Given,           y3-y=2x

Q: dx 4. 4 Vx + Vx3

A:

Q: z = = 9x°y° dz = %3D

A: Given that z=9x8y6To find :  dz Solution…

Q: D dx = 4x + C

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: