Lim (ره) (x,y) Sin (x²+ y²) x4yo

Q: arcsin(4x)/arctan(5x)...

A: Using L'Hospital's rule to evaluate this limit,we know that,if  is of the intermediate form or…

Q: Ja + + tan x) sec?x dx

A:

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: O t-sin(t)

A: the answer is t-sin(t)  provided the solution below with steps in step2

Q: f'(1). et f(x) = 3x 6x-7 Find f'(x).

A: Given query is to find derivative.

Q: sin3x d) lim x→0 + lim cos x + lim 2x² x→2 x-3

A:

Q: sin ( C + D ) =-------------------

A: Our Aim is to tell Sin (C+D)=?

Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2

A:

Q: e* tan (e*) dx sec2 (e*) – 7

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: cos x tan x a) lim x→0 2x (x2 b) lim sin(x-) 4 x- 4

A:

Q: Find, tan(x / 2)dx A) (1/2) sec (x/2)+c C) 2 sec (x/2)+c B) 2m sec(x/ 2)+c D) (1/2n sec(x/2) +c

A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

Q: lim

A:

Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: Y(6) = cot(5s)- 3 tan s - csc (5s)- 3 sec' s s:y (s) |

A:

Q: **. (1) lim,- V1+cos 2x 4 (x-) Q3) Find:

A:

Q: Calculate facos xdx . (a) rsinr – casz+c (b) Icosz+sin x+c (c) zcost-sin x+c (d) Isinz+cOSI+C (e)…

A: Formula for integral by parts :        ∫u(x).v(x) dx=ux∫vxdx - u'x∫∫vxdxdx+…

Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

A:

Q: (x² + 1)ª (2.x + 1)3(3x – 1)5 y =

A: Simple differentiation problem....

Q: d dx x= ||

A: Given that

Q: lim →+ 0+ sin 0 sin 0-1

A:

Q: Ssec? [sec(4x)tan(4x) dx (p sec (5x +3) dx e) f sin 3x + 1. dx 2x +4 f)

A: We will solve the following

Q: aim(-4) 3) lim - -16 16-1) + lim++ sin(v

A: According to L Hospital's rule, if f(x) and g(x) are two differentiable function and limx→cf(x)g(x)…