2sinh cosh -dx 3cosh? * 2

Q: (» — у + 3) da — (ӕ — у) dy — 0

A: Exact differential Equation: A differential equation of the form M dx + N dy=0 is said to be exact…

Q: 3 sla? – x²) % dx

A: Given ∫ (a2- x2)32 dx Perform trignometric substitution x= aSin (μ) →υ= arcsin (xa), dx= acos (μ)…

Q: 3 19 dx Evaluate 5+x - 4x 2

A: By using complete square and integration

Q: -3* dx. Evaluate O2 3 3 +1

A:

Q: rtan (cotx) dy dx = d. 15 10n a. 44 b. 44 C. 44

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: SCcos2x + 2sin x)² dx

A:

Q: S egral dx (x²+4)² can be transfa

A: Answer is option-(d).   Using basic equations of trigonometry and substitution we got the answer as…

Q: 14. Evaluate. dx xvx2-1

A:

Q: dx 5. HalfAnge Substuion 3+5csx

A: Consider I=∫dx3+5 cos xwe use the formula cos x =1-tan2x21+tan2x2

Q: d Evaluate (3*). dx

A: Given  The derivative is ddx3x .

Q: -23 dx. . Evaluate:

A: According to Bartleby's guidelines we are allowed to solve only one perticular question at a time.…

Q: S 2sin(4x +9)dx

A: Given query is to find the integral ∫ 2 sin(4x+9)dx.

Q: 32x ) dx In|xl + C 3 %3D - |- 3x. 2 In 3

A: let the missing term is Y

Q: (a) Evaluate dx. xVx* +1

A:

Q: So (2+7x) et ¹ dx

A:

Q: 5. (sinx + cosy)dxdy

A:

Q: In) dx, 1 3 5. a) Evaluate

A:

Q: In [x x² -625 dx , if we let x= 25sece, thendx=25sece de

A: This is a problem of integration and we will use certain assumptions to calculate the integral…

Q: Evaluate (3x? – 4x + 5) dx from a= 0 to b=3. 0 6 O 12 O 18 O 24

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

A:

Q: 2х + у dy 3+ 3у? — х dx 3.

A:

Q: dx 9-3

A:

Q: (2x+5)dxt 3y dy = o

A:

Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: 32 dx =. %3D O -56

A:

Q: 24 dx (144x²+1) Evaluate S- 2

A: Here we have to find the integral.

Q: 4 dx O) 2 + 5x – 14

A:

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: 2 (3г — 1) V 32? — 2х +3 dx -

A:

Q: Evaluate A) Scos³x dx 4 B) Ssecx tanx dx

A:

Q: 2. (2y? + 2 In x +1) dx +2xydy = 0 %3D

A:

Q: -dx O 10 10A +c 10 A +C O None

A:

Q: 30 en (6ox+ 3o)dx 2.

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: s(D-) dx = Inlxl _6. + C 3 3x. 2 In 3

A: Since the student has posted multiple questions and has mentioned to solve question numbers 6-10,…

Q: EVALUATE THE FOLLOWING: dy is 19-49y? dx tdt 2.17+64 1. 3. xV4x - 25

A: 1. Let  I =  ∫dxx4x2-25         Put  4x2-25 =t          ⇒ x2  = t2 + 254          differentiate…

Q: 8e 2* dx Using an appropriate substitution, evaluate:

A:

Q: -2 t Evaluate √5+² dx

A: To solve the given definite integral problem.

Q: 11. Evaluate. Leave answer in exact form. S, 2xv7 – 5x dx |

A:

Q: 1 dx 7х — 2 1 In(7a — 2) + с 7 -

A:

Q: rtan can-(cotx), dy dx: 10n a. 44 b. 157 44 20n с. 44 2. d.

A: As per our guidelines we need to solve only one question. Please, repost the reamaining questions as…

Q: | 3tan-1(x)dx = %3D 2프-21n2 In(4) 2/3 None 을 + m2 2 In(÷) | 3 3 - In(4) 6 3

A: Solve by parts method of integration.

Q: dx = - 4 In|x| +C %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 -dx (г?) — 4г + 13

A: Here, we need to evaluate the integral ∫1x2-4x+13dx

Q: Evaluate the defin c12 4e 4*dx 3.

A: Given:     Integration of 4e4x from 3 to 12 limit.

Q: 3 V3x x2 dy dx O 27 O 54

A:

Q: - 7x)4 dx Using an appropriate substitution, evaluate: B

A: The given integral: I=∫x6-7x4 dx

Q: Evaluate So xtan-1 (x) dx Select one: 4 4 T-2 4 4 None of these TT+2 4

A:

Q: Find the value of b so that (2x – 1)dx = 10 O 1 O 4 O 2 3

A:

Q: +7) dy dx 4x+

A: Evaluate the given integral as follows. ∫02∫x22x4x+7 dy dx=∫02∫x22x4x+7 dy dx=∫024xy+7yx22x…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.