Question 3 Differentiate: y 2x - 5x 4+ 8x² - 11z Oy = 10z + 20z+ 16z 11 Oy= 10z + 20z+ 16z- 11 %3D Oy= 10z + 20z + 16r 11 Oy= 10z4+ 20z 5+16z 11

Q: 8x+9y%3D0 10- 5+ -10 10 Z -10-

A:

Q: (* +3ーちズャメー! da 3xー5x +x -2

A:

Q: 3) V12-b+4= 6

A: #3 Given,   12-b+4=6

Q: (8x + 3y – 4) - (2x – 2y – 1) = (6 + 3y) + (-2 + 8y) =

A: By solving the given equation we will find the general form. (8x+3y-4)-(2x-2y-1)=? (6+3y)+(-2+8y)=?…

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: -2yater 1- 2x cot2x 2CSC 2X %3D %3D

A: Solution-

Q: csc -1Vxdx (6) Vx3 -x2 CSC x3-x2

A: From the given problem:   I=∫csc-1xx3-x2dx   So we can also write as:   I=∫--2csc-1x·12x-1xdx.....1…

Q: y3D-2x-4

A: Our Aim is to graph the line y=-2x-4

Q: Compute -(-x - 3x²-x). ď² da²

A:

Q: 1 | y/35y² dy 2

A:

Q: 2x +4y-2= X -y +2 =-6 3x +2y-Z= 5

A:

Q: in z 3D 2x, + 4х2 + 3x; Зх, + 2х2 + хз 0

A:

Q: 85 MATH2215 2x+1 dx x2-7x +12 2x+1 メー4XX-3) B. (X-4) (X-3) ACX-3)+ B(X-4) てメー4)CX-3) = Ax-3A+Bx-HB…

A:

Q: Differentiate 4(x + 2y)2 = x2 + y2

A: given equation 4(x + 2y)2 = x2 + y2

Q: 3x-6y+6z=-5 -2x+3y-5z=7/3 x+y+10z=3

A: 3x-6y+6z=-5  -2x+3y-5z=7/3  x+y+10z=3we have to solve this equation for x,y&z

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

A:

Q: Why is s = 2y?

A: Points on the two sides of the parabola are of the form x, y and x, -y. The distance between them is…

Q: у %3D (х + 7)(2х* + 3х? + 5х — 1)

A: Giveny=x+72x4+3x2+5x−1

Q: 2x-y-4z=-1 x-y-2z=1 x-2y-3z=-2

A:

Q: -2x Z = 19 7z = 24 4y + 5x 3x Z = 8.

A: In this question we are given with the system of linear equations and we have to find the…

Q: 5 G-45 + VE - 2)at

A: We have to find integral of the given function, here we use formula for integrating the polynomials.

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: Sohe the folloce ing Systems = 2x4 -5x2 -cast dt dx2 ニター2x2 +=9n+ by usfng the methpd of…

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Q: [2x + 4y – 5z = -8 x + 5y + 2z = -1 (3х + Зу + 3z %3D 15 17)

A:

Q: 6. sec²(3x) – V8 W%3= 6x +9 0.

A:

Q: 2x-5y%3D 2x-10y=-6

A:

Q: 3(y+7)-7y=1 y=

A: First we distribute 3.

Q: S x³√x²-7dx X X 3

A:

Q: S 4x²+1

A: Find the integral by using substitution method

Q: 31. y = 3x4 + 8x³ – 6x² – 24x %3D

A: Given: Graph of the function:

Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: Evaluate 4.x – 6Vx? dx

A:

Q: 2. Show that (2x + i)(2x– i) = 4x +1 %3D |

A: Prove the equation

Q: 2x Cos 23 find diy %3D

A:

Q: . Differentiate: 3y=(2x+y)²

A: Step 1:

Q: x2 + (3y ÷ 6) − z  when  x\ =\ 9x = 9, y\ =\ 8y = 8 and  z\ =\ 11z = 11

A: x2+(3y÷6)-zx=9 , y=8 , z=11

Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.