3 If y=/xL5x²_36 x²_3x²+Yx-12 (3 14 shuw that dy 24 dx4

Q: 11). If dy = (2x – 3) dx and y = 2 when x = 3, find the value of y when x = 5.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: ind dy/dx. y= -3x square root of 1-4x^2

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: 16 (1.) 2XInX 2 dy/dx (2. if 4 = cosh 2 JX +1 %3D 213 dx (3.) 4+x2

A: Question 1 is solved by substitution method. Solving other questions are against the policy of…

Q: 5. 6. Sexcos2x dx |— S- dx 3 (x + 2)² − (x+2) ² -

A:

Q: (х + 2у — 1)dx — (2х + 4у — 3)dy 3 when x — 1 & у 3D 0 - -

A: We are asked to solve the differential equations.

Q: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: 16 4+x² dy when y = Find 4 – x² dx dy dx

A:

Q: Find dy dx 2 for x²exy = 5 WA/

A:

Q: 7. (2x + 3y)dx + (3x + 2)dy = 0 When: x = 3, y = 2

A:

Q: Find dy/dx if y =3x2/3− 4x1/2 −2

A: Here given as

Q: 2x+2 dx. 5. x2-2x+1 dy 6. 5. if y = (1+ x²)etan-1x

A:

Q: Evaluate the integrals

A: The given integration is: ∫03∫09-x2∫09-x2 dz dy dx Here first to solve the inside integration with…

Q: 8. 5x* + -- * ) dx +2 (x³ + In x – e*) dy = 0; y (1) = 0 %3D

A: Differential equation solved by using integrating factor

Q: (A) Evaluate / (4x – 5) (4/x + 4x) dx. x² + 3x - 6 (B) Find dy -, if y = 3 -)4 when x = 1 %3D dx

A: *we have to perform integration operation in A & differentiation operation in B.

Q: Find dy/dx if y = 3x® – 2x³ + 6x + 1.

A: Solution

Q: dy 2+ ytanx (4x + 5)² .3 dx cosx

A:

Q: 2 1 Estimate -dx using the right endpoint rule with n = 4 3 1+x

A:

Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: OFind dy 9= (x²45x)"(x + Sec

A: The given function is: y=x2+5x4x+sec x5

Q: 30. 5e dx 31. Зи du - 1 33. x² dx 35. (x+5)* 37. xp (3 In z + 2)4 39, -dz

A: We will solve the integration.

Q: Find dy if x = 5t2+8 and y = 3t³ dx o dy 9t dx 10 O NONE dy 4t dx 5 O dy dx 3t 5

A: Derivative of parametric function

Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: 7. Integrate 2x-1 dx by using substitution method.

A:

Q: (x + 1)2 + y = Inx; y(1) = 4 dx Oyx + 1) = xlnx – x + 9 Oyx + 1) = xlnx – x + 8 Oyx + 1) = xlnx – x…

A:

Q: 11 Show that dy dx = 1-In2. 8(xy +1) 0 0

A: Follow next step

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

A:

Q: 17 (7+ x²^ dy when y = dx Find %3| 7 – x²

A:

Q: (3– 3cos5x)} (3x² +2x-7)² (e - sinx +3x) y= Find dy/dx if

A: That's computational, take a careful look.

Q: find dy/dx: (x+y)3+ (x-y)3=x4+y4 ?

A: The given equation is x+y3+x-y3=x4+y4. Find the derivative dydx using implicit differentiation as…

Q: 22. Find OY if y2 - 4xy + x² = 10. dx

A:

Q: 1 of 1 dy -3-9x, y'6)=8, dx² ylo)=2 %3D

A:

Q: Evaluate dy/dx at x=2 and y=3  if   x4 +  y4 =16.

A:

Q: dt 3. J Tat2+9) 4. Sx² (1 + x³)/4 dx 5. S; ds (1+s²)3

A: Question no. 3,Given,            ∫t4t2+92dt

Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

A:

Q: 3 -V7 dz dy dx dy dz dx

A:

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

A:

Q: Find the geneul suluticn dy t. + 2y= 2X 2. dx

A:

Q: Find dy. y = In(1 + x4) dx 4x3 dx x4. 4x3 dx x4 +: dx

A:

Q: 7 5-y y dx dy 3y

A:

Q: 12. Find dy/dx (x – 2)(x + 1) 3 X y = (х — 3)4 -

A:

Q: 1) (2cos³xsin x – ysin x – 1)dx – cos x dy = 0 ; when y ) = 3v2

A:

Q: 12. Differentiate.   y=4/2−7x dy/dx=nothing   Enter your answer in the answer box.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.