rit) = è² ₁ + e²² ₁² et q î t=o

Q: VIt)= 9, ēt oS 27 + #2 e .sint constants. Find the resuit of the given expression be low, +2.d Va) 6…

A: As we here differentiate the v(t) =a1e-t cos 2t + a2 e-t sin t and, find the result of the…

Q: Q2) Solve two of the following: NA byy C)₂5-*dx

A:

Q: Q2) Solve two of the following: 2 in 10 A) 21 dx

A: We need to find integral value.

Q: 14) Solve. (2x+8)² = -29: * A) x=8+√√29i B) x = ± C) x = D) x = √291 2 -8 -8± √29i 2 +8+ √291 2

A:

Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: Solve this egeua tion using differenbicel eque bio us ikx -ik X 4 Cx) s AĈ + 13e

A:

Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj – 2i + 3j + 2k = 3i – j+ zk

A:

Q: The equation sinh x a) 4 b) 2 c) 3 d) O - 5coshx = - 7 has how many solutions ...

A:

Q: 11 - d 18t7 dt dx 1 a) O 12x5 b) c) O 18x7/2 4 e) O 9x3

A: The correct option is (e).

Q: With which values of b E R, E09 e¯itb = 0 holds true? 100 t=1

A:

Q: Q2) Solve two of the following: 2 In 10 log10 -dx x A) S 2

A:

Q: a) Give the a ppropriate triq sub that would be used to evaluate dx. Sotve the Vx2-16 b) Solve the…

A: ∫x3x2-16 dx a). The substitution is, x=4secθ⇒1=4 secθ tanθ dθdx⇒dx=4 secθ tanθ dθ

Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

A:

Q: Assume that ū. i = 3, |ū| = 5, and |õ| = 6. What is the value of 5u. (4ü – 87)?

A:

Q: e) 36x* - 13x +1= 0.

A:

Q: : Find w = a + bi = √z where a and b are real numbers. - -M 3 -8+6i ☐, w = ☐

A: Hence, The final answer is  w=2.99−i,w=−2.99+iExplanation:

Q: 5 continued. L{(e-t-us(t))t²}.

A:

Q: A. y(x² + y²)dx + x(3x² – 5y²)dy = 0; whenx = 2,y = 1.

A:

Q: Solve: x)4= కు

A: From the given problem:   D2+1y=cosx   So,  The Auxilary equation is:   m2+1=0m2+1-1=0-1m2=-1m=-1,…

Q: 43) sin x dx A) -(1 + 2/2) 7a 2 + B) C). 1 + 12 R D) - 1+ 2{2 4

A: This question is based on Indefinite Integral.

Q: What is the length of DE¯¯¯¯¯¯¯¯ in the image provided

A: From the given figure it is clear that AC=x+3,AB=BE.

Q: II. Write the D.E. which have the following solutions: 2.) y = e-3x cos3x

A:

Q: If OA = 12 i + 6j + 5 k and OB = 6 i- 2 j + 5 k, find |AB|: AB:

A:

Q: In 2 da A eV1-e 2z What is the value of A?

A:

Q: 49 Vã.) х dx х. Let u = х — 9 36

A: Given:

Q: b) b-x VB- b-x Hint: Give vb and x a name and re-written the expression. Also considered using the…

A:

Q: Evaluate tan?. sec* zdz +C

A:

Q: Jar Caxtb ) = aiaro

A:

Q: cot(0) + 1 csc(0) b) OP VALUE

A:

Q: ++dy=e' dy A True B False

A: topic - exponents and integration

Q: A variable electric current is given by i = t2 - 7t + 12,  where t is in seconds. At what time is…

A: Given  A variable electric current is given by i =t2-7t+12 we have to find the time at which current…

Q: Evaluate V3 dx 1+x2

A:

Q: If A= ACH) find the A? m d2 A RT dA 2. dt

A: We have to find the characteristic equation and solve for homogeneous solution.

Q: 1 1. X CasCx y) dxdy. 0.

A: