a) y = cos(e 2x) (e2x) -1

Q: (3x²+8x-12)dx 1. x3+7x2 + 12x

A: ∫x+1(x-1)x2dxperform the partial decomposition=∫-2x-1x2+2x-1dxApply…

Q: 2. O Differantiate each of foll. funchions- fox) メん fa)= d 2X (42) 2-1 2. Ans 2.

A:

Q: 3* –3-* lim x→∞ 3x+3°

A: Since you have posted more than one question we solve the first one for you. For the remaining…

Q: 7. Find the following: 1 | [8f(x) – 3g(x)] dx

A:

Q: 17. y csc(5x)

A: Differentiation

Q: Given the sets of A = (1,2,3,4,5,6,7,8) , B = (5,6,9,12,11,15,21) and C = {3, 4,5, 8, ,9,10, 13).…

A:

Q: d dx [x² tanx]

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 4x10 + 2.x4 + 15x11 4 + (3x – 5)12 dx х12 x² + 1

A:

Q: Queston #o 4 Show that X, Ixe, where x, and Xe E IR X= (1,1,1, -1) Xz = (4,2,2, -1) %3D

A:

Q: Cos 30° csc 30 + tan 60°

A: Solve the given equation

Q: dq + q = 4 cos 2t dt

A: Given that, dqdt+q=4cos2t On comparing with general equation dydx+Py=Q ⇒P=1, Q=4cos2t, dx=dt…

Q: 1. log, 64 2. log, 625 3, log, 81

A: As no particular question is asked, so I am solving first three Here we will use the formulas: logaa…

Q: Root Finding Method that uses an Upper and Lower Limit. 2 points are selected from the function and…

A: (i) Given the root-finding method that uses an upper and lower limit. Two points are selected from…

Q: Find A.

A: Given

Q: dx 4. [(x-1)2+1]2

A:

Q: tan?0 sec20de 1. T (a² + a²tan²0)²

A: ∫0π4tan2θsec2θa2+a2tan2θdθ =1a4∫tan2θsec2θ1+tan2θ2dθ =1a4∫tan2θsec2θsec2θ2dθ since 1+tan2θ=sec2θ…

Q: 4. log 0.0001 5. log9 729 6. log:5 log4 32

A: As no particular question is asked  , so I am solving first three Here we will use the formula logaa…

Q: evaluate the following

A:

Q: (0 – 1)(02 + 0 + 1) r = 03

A: Consider the given equation r=θ-1θ2+θ+1θ3 and simplify it. Use the identity a-ba2+ab+b2=a3-b3 to…