y" +y- tanx An 8.

Q: Hlim X-3 Sinx X->o

A: Given : limx→0x2-3sinxx

Q: differenti en y(2) =

A:

Q: y = 2 tan x

A:

Q: Q5. If x- a.sec 0 and y -b.tan 0. Eliminate 0.

A: It is given that x=a sec θ  and y=b tan θ . So, xa=sec θ and yb=tan θ.

Q: - sin² ydy 6. 4 tan" y

A: As per the guidelines I can solve only first question

Q: tanttz !!

A: Topic:- application of integration

Q: 4x + y+1 = 2 tan 4x +y+1= 2 tam

A:

Q: hex (4)- u- Sin"/)* " () + tan

A:

Q: -y = sin Va

A:

Q: JO π 3 sec³ x tan x V √2 + secx dx

A:

Q: x5tan(x²) sec²(x²) dx

A:

Q: -3 y = (x* – 2x*) + tanx

A: Given,         y=x4-2x3-3+tanx

Q: ries solution are:

A:

Q: y= (1+ tan ()

A:

Q: Evaluate the integrals

A: we have to evaluate the integral ;  5) ∫3sec2t6+3tantdt 6) ∫secytany2+secydy

Q: 7. Let y = tan (3x - 2), find y'.

A:

Q: What is the image of (-9, 0) after a reflection over the x-axis?

A: Explanation is given below...

Q: 5. y= 3tan 2x+ tan³2x 6. y=tant 5x 7. y= csc*x – 2cot?x 8. y= 3tan 2x + tan³2x

A: We have to find derivative

Q: 2 y- tan(x) 1- -2 -1 1. -2-

A: follow next step

Q: 4.) tan(-)

A:

Q: Evaluate fetanx sec² x dx

A:

Q: Eactor of (xy? +

A:

Q: 1] y = 2x5 +7x² + 4x Degree: Sign of LC: as x-0, y→ as x 00, y-.

A: Solve the following

Q: Evaluate : (sec 4/3 8/3 x cosec" x dx.

A:

Q: find dy/dt.

A:

Q: Differentiate y= 2x tan(V2x (/25).

A:

Q: = 1 + 3y tanx

A:

Q: Differentiate: y = 5 tan? (25a) oy = -750z² tan(25a) sec? (25) Oy = -750x tan? (25) sec(25) O y =…

A: Topic - derivative of a function

Q: Differentiate.

A:

Q: 5. y"+y= secx tan x

A:

Q: Evaluate y” - y’-2y = sin2x

A: Using method of linear differential equation.

Q: æ sin(ry) dy da 7/2

A: To find the double integral First limit is given for y so assume ,x as constant and integrate with…

Q: 14) y = tan (x) b. a. 10- 10- -10- c. 10- 10- 10-

A:

Q: 5) y = tanx secx 6) Y = b x+1

A:

Q: find the desiuatie Y= 3-tan (x)

A: Given: y=2x3-tan(x) Quotient rule for derivative fg'=f'.g-g'fg2

Q: Differentiate y = (tanx-1) /secx

A: we need to evaluate derivative of y = tan x - 1sec xthis can be done by using quotient rule. That…

Q: tan 3 1. 2.

A:

Q: Differentiate: y = 5 tan? (25x) O y' = 750a? tan(25a³) sec2 (25a) O y' = 7502 tan? (25a) sec(25a*) O…

A:

Q: sec x tan x dx 9+4se ²x 2.

A: We have to evaluate the integral: ∫sec x tan x9+4 sec2 xdx Solving the given integral by…

Q: Ja (1 – sinx)3/2 (1+ sinx)²dx"

A: If , then the independent variable x is called the input of the function and the dependent variable…

Q: 8x y = 3 - tan(x)

A: Quotient rule of differentiation:

Q: B- A secx(secx+ tanx)dx

A: The given integral is a definite integral. First the indefinite integral is to be calculated then…

Q: Fin x when sinx=√3/2

A:

Q: y"'-2y"= tanx

A: We solve this by using the power series. We expect the solution to have a power series expansion…

Q: sec x is undefined

A:

Q: 2 tan (x) sec (x) dx

A:

Q: 6- y = (sec(2x) + tan(3x))-2

A: We have given function-  y = [sec(2x) + tan(3x) ]^-2

Q: quation (D2 – 4)

A: