· /(2+x+2æ² + e*) dæ

Q: 1. AB and AC are tangent to OP. Find AB. 4 3y +4 B 1ly

A: here we will find AB,

Q: d (arccot(x)) -1 Be sure to provide a written justification for 5. Prove your work. dx 1+ x2

A: Gg

Q: 2cos'z = COS T Select all correct solutions.

A: Follow the procedure given below.

Q: Solve the following equation; 2 tanh- 2r = In(r – 2) – In(x). %3D

A: We solve this following equation using simple mathematics and its solve in a simple form of…

Q: #/2 |cos" xdx kn/2 If 0 then K = %3D

A:

Q: Find Duf at P. 3 4 f (x, y) = sin(3x – 4y); P(4,3); u = i j %3D - - NOTE: Enter the exact answer.…

A:

Q: i need the answer quickly

A:

Q: ue of the det e 16 is

A:

Q: d csc 'x dx -1 Prove that xVx? – 1 2.

A:

Q: sin 3z C:|z| = T _2 e2/z C: ]z – 1 – i| = 2 5z z? + 4' 23 C:\z| = 3 2

A:

Q: 1 =dx <1 Prove 4 4

A:

Q: (/2 x cos" x dx, when n> 1, show that Jo If In п(п - 1)1,-2 — 1 In [Hint: cos" x= cos? x.cos"-2 x…

A:

Q: D[Expf-3x] Cos(nt], {x,2},t]

A: Correct option is D

Q: Again differentiate with sespect do 'x get we A cost- B Sinz A cosz + BSiny) { from @ d +

A: Please refer the attached image for complete solution.

Q: Evaluate each of the following: 1. ſ cot 2v dv

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: O cos Z 12 15

A: Right angle triangle

Q: 27. y = 2 arctan x, [0, 1] 28. y = In x, [1, 5] 29. x = e¯Y, 0 < y < 2

A: 27.) Given function y=2 arctan x in the interval [0, 1]. a) Sketching of graph: The part…

Q: By the samc way, prove that g 7 sinw.k MUIS Z N-27 cesW. +1

A:

Q: 2πί -dz = 9. CoS z Iz=2 z3 + 9z :Select one True False

A:

Q: tain we and tangent together. 6. у %3D (х — 1)? + 1, (1, 1) 1

A:

Q: 2 (b) S(2 + tan (0))do (c) S 2'(1 + 5')dt

A:

Q: If so be solvet using atgebrate 3/2 /2 Substitufion, give the substitution for X and dx.

A:

Q: Find the speed over the path r(t) = (sin(3t), cos(6t), cos(3t)) at t = (Use symbolic notation and…

A: The path r(t)=sin(3t),cos(6t),cos(3t) at t=π2

Q: If Z + i sin) then Z²-Z+1=.. = cos 2 b 2- -2

A:

Q: *(+²–1) cos[cosh (In r")]dr 4.

A:

Q: əz Əz Əx Əy Q5-A) If z =(x +by)² +e+by+sin( ax +by) show that b =a

A:

Q: a2z a2z dz Q3) A: If e-(sinx + cosy), show that ax2 ду? at

A:

Q: 4. * S sec? (4t) (3 – tan(4t)) dt 1 (3 – tan (4t))* + C (3 – tan (4t))* + C 16 - - B. 1 (3 – tan…

A:

Q: 3) if y= CoSX then shift it by a) left TC b) Down1, lett 2

A:

Q: az az and du #6. Use the Chain Rule to determine given that av z = x sin (y? – x) x = 3u – v?, y =…

A: Solution:-

Q: K (To - T) if 0 <TST. if T, ST y (0) =A

A: Given, dydτ+αy=kτ0-τ , 0≤τ≤τ00             ,τ0≤τ  and y0=A

Q: 1. If Z = sin r+ 2 I+1 6. - ", find dZ/dr.

A: differentiate with respect to x

Q: a) Find dz, if z = e' sin e %3D b) Verify uxy = uyx , if u = In /x² + y² . %3D

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: inside 2 = 2 cos 20 and outside r = 1

A: We have to find area between the polar curve.

Q: d 1 - (sec-!r) = dx Prove that xVx - 1

A: Let y=sec-1xsec y =xcos y =1x.....1 Thus sin y=1-cos2y=1-1x2=x2-1x2=x2-1x .......2

Q: 1 By writing u y", and using the chain rule, show that 0") = nyn-1. dx

A:

Q: find the general solution of this diferantial ww equation x(xdy-ydx)=y?In(x)dx www

A:

Q: az az and as Use the chain rule to find at sin(8) r= st, 0 = s3+ t3 %3D

A:

Q: ne exact length of tne X = Vy (y – 3), 4sys9

A:

Q: 3 and ajj = i. j. Th

A:

Q: Show that the quen dffecential equation is not exact hance given Solve it Ky de (x'ay) dy

A: To show : The given differential equation is not exact then solve it. Given information: The…

Q: Q4/ Find Pe and at (3,3,3) if E = (xyz) ax + (xyz) ay + (xyz) az m²

A: Please see the answer below

Q: 2. Solve: tan(3 T - 4) = 1 Te [0, 1 %3D 2 T = 80 %3D 10 3 A %3D 25 T = 20 %3D 3 л

A:

Q: 1. Let x (x,) E l. Find x if 11-- a. x = 2 %3D

A: This is a question of functional analysis in lp space.

Q: (osh x- Sinn? 21 Sin nx=1 20 (Osh K= ?

A:

Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

A:

Q: = 11% and E = 715, calculate the Еxample 4: If К. stock value of XYZ Ltd. for: 2) r= 11%

A:

Q: Find LT of (i) e-*(2 cos 5t – 3 sin 5t) (ii) e²ª cos² t (iii) e“ sin 2t cos t ,4t

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.