1:A);f u ond V are 2x1 orthonorraljand A-UV" Bhen the trace of A is egual bo-l C.2/d.o. B) if Icos&ajan@l: |- Cos ILtj sin50 %3D Then/a.n=5 bin=3/cn=4/n=10 c)if (lo The N CA) is all mulfiploo

Q: Q2. Fined h[2Stnat.cosst] Hint L2 Sin A Cosß = Sin CA+B)+SfnCA-B) %3D

A: As per the policy of bartleby the provisions is to solve only one question at a time i am solving…

Q: az -? Since it is du coSV.y=. av ) z = In (xry*),x = e"cosv.y= e"sinvr

A:

Q: sin (o.3+)-130t 2=6 137 start with h--6 and tu = -1 and apply the false positio method to Pind the…

A: Let us determine the root of the given equation using False Position method in the next steps.

Q: Question 9 Find n so that T, (trapeziod rule with n subintervals) is guaranteed to approximate |…

A: ∫05cos(2x) dx       to within 0.01We have to calculate for the n

Q: 12. Find tan(2r) if tan(x) = 2 (hint: use a double angle formula). ii) -3 iii) iv) not listed i) 4

A: We know that,  tan(2x)=2 tan(x)1-tan2(x) Given that, tanx=2 tan2x=221-22 tan2x=4-3

Q: The value of cos8n from the unit circle is (0,1) t (1,0) (-1,0) (0,-1) a) 0 b) 1 c) – 1 d) undefined…

A: Folow 2nd step.

Q: IT) If Sio A= $, Sin B= " 12 A B Cre alute. 13 find (A+6) and Cos (A -6).

A:

Q: in Let z = 0.5 +",., Find e 6z 3 C) e3 F) e-0.5 (cos 2 + isin2) A) -e 20 B) e-5* (cos 20 + isin20)…

A:

Q: 5. Which of the following is a TRUE statement? (5/4)! e-2s e-s+5 A) L{t5/4} = $9/4 B) L{u_2(t)} C)…

A: (A) Lt54=5Γ1416s94 (not matched with the given one)

Q: x-1 c) Let f (x) = x+ 0. Find by using numerical calculations in a tabular x2 - 1 which x approached…

A:

Q: b) sec(arcsin x2+4, 以a sin g 孙 OPP Los : als hyp a-t6-cと とい ))Not how sec = x-Vxty %3D exponent…

A:

Q: Q2. Finel hE2SFnzt.cosst] Hint [2 St. A CosB = Sin CA+B)+SfnCA-B)J

A:

Q: 8) COmpute f(tldt where f(t)= +at? 'i (tet)j+ (cos?t/k. %3D

A: To Determine: compute ∫ftdt Given: we have ft=t1+t2i+t e-tj+cos2tk Explanation: we have a vector…

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: (a/3 d(cosx) =? 24 - sinx O A) V3/2 O B) 1/2 C) -1/2 O D) -1/3 E) T/3

A:

Q: 8) Find / 2° (3xª + 1)´ dæ - 1)“ dæ

A: 8) The given integral is ∫x33x4+12dx

Q: 12 9. If sin x = and cos y = -13, where 0≤x≤ and ≤ y ≤n, find the following 13 a) tan(x + y) b)…

A:

Q: Q1: find dx of the following statement: a) y = cos? sec

A:

Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

A:

Q: ) Let T be the ref leetion in R? y =x. across Cos 30° - sin 30° -Sin 45 CoS 45 Sin 30° cos 30° Sin…

A: For the solution of the problem follow the next steps.

Q: Given that Le"}= - s- a 1 and that e = cos ot +isin ot , deduce the Laplace transforms for cos ot…

A:

Q: gg Un= 0 1- Cos nn dr 1- Cosit Unt₂ + Un = 20 ot prove that

A:

Q: Which of the following is not true? a) cos?t+ sin²t = 1

A:

Q: 2. MIE) = 50(l.as)E where tis the of years number Sinee 1997. la)is this exponentieul grouth or…

A:

Q: ) y 3on (-- A) units to the right B) units to the left 9 units to the left D) units to the right

A:

Q: tan 0 Q1:Find d do [(2 sec² y + 32 ) dy

A: Question 1 is solved. Solving more questions are against the policy of bartalby. Post remining…

Q: a If cose + sin 0 = m and sec0 + cosec0 = = n, then n(m² – 1) = A) m + n B) m – n

A: Known fact: a+b2=a2+b2+2absin2x+cos2x=1secx=1cosxcosecx=1sinx

Q: T 2 r = 2 + 4 cos 0 Option 1 r = 2 + 4 sin 0 Option 3 axis? r=2-4 sin 0 Option 2 r=2 sin 30 Option 4

A: Which of the following is not symmetric with respect to the pi/2

Q: 10) -1 + 3cos² 0 = -cos? 0 %3D

A: Given,         -1+3cos2θ=-cos2θ

Q: a) Let Sex) = 6x and gt)= sint for Octe How do I find (Sog)(t) -) Let Sta): and g(t) - 7tan t śor…

A: Given that, (a). f(x) = 6x1-x2  and   g(t) = sint,                0<t<π2 (b). f(x) = 1x249+x2…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.