dX Find for the given matrix function. dt dX dt sin 5t cos 5t cos 5t e-5t X(t) = sin 5t 8 cos 5t 3e-5t 3 sin 5t cos 5t || -5t I

Q: 2x + x2 cos(x) + 1 -dx x2

A:

Q: Find ay dt + = -1 (+-√e ³ sin ¹ (2+) 1(5+2log +) 9

A: We will use the formula ddtmn=nm'-mn'n2

Q: 3x – 11 dr (x – 5)(x – 3) Evaluate + C

A:

Q: How can I find the dependent variable, independent variable, order and linearity (whether linear or…

A:

Q: 2 x+1 2) Evaluate f,“ dx using the substitution u 3 Зх — 2 V3x-2 3) Evaluate f2 e cosx dx

A:

Q: 2+1 dt

A:

Q: Qlif y= fcus and u=x46x +5 U =X and - 2u -1, Sind dy dx

A:

Q: Find sun alpha and tan alpha if the terminal side of alpha lies along the line y=-8x in Q2

A:

Q: cos° (nt)dt

A:

Q: 3. Integrate the following: 2x+3 i. J7+3x ii. S V1- cos x dx iii. S cos3 x dx

A:

Q: 1+cos 4x dx 1-cos 4x Evaluate

A:

Q: Yp = A1 cos V2t + A2 sin V 2t Which of the following is Yp'? sin v2t A1 V2 Cos /2t A2 V2 O V2A1 sin…

A: Please see the explanation below

Q: 4. Find a basis and the dimension of the subspace W of V = M22(R) spanned by %3D -5 2 -4 A = B = C =…

A: Given:          V = M2 × 2(ℝ) spanned by A = 1-5-42 ; B = 11-15 ; C = 2-4-57 and D = 1-7-51   To…

Q: 10. J(3x3 — 5х + sin3x) dx -

A:

Q: Find the expression for dy dx dy dx dy 2xcos(x²-y²) - 1 2ycos(x2-y2)+1 dx The answer cannot be found…

A:

Q: JECT tinoM Use integration bu ax e cosbx dx

A:

Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

A:

Q: Find The geneval Solution f 3y Cosx + 4x + 2x² e) dx + (3 Sinx + 3) dy

A: Here we have to find the general solution of the given differential equation which is of the form…

Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

Q: Find the derivative of the funcion. y=x-17 +63x+6

A: y = x3-17x2+63x+6 y'=dydx=ddxx3-17x2+63x+6 Here we are gonna use the formula  ddxxn=nxn-1

Q: O dx √4-9x² O -1 sin O 1 sec sin 0 1 3 -sec 3x 2 2x 3 2x 3 + c + c +c 3x ¹ (³2) +c

A: Integral

Q: 7s+15 Find L-1 s+2 O 7 cos (v3t) + sin(v3t) O 7 cos (v2t) + sin (v2t) O 7 cos (v2t) + sin(v2t) O 15…

A:

Q: x² + 2x – 3 dx 2x + |x – 3| 1. 6 sec 2t + tan 2t dt 2. Cos 2t kloc

A:

Q: 2x³y' = y(2x² - y²)

A: We have to solve the given ordinary differential equation.

Q: The functions cos r and cos- are linearly dependent (0, ) on

A: evident from the two curves that after zero in a positive direction the two graphs coincide with…

Q: ODE (3x-2y+1) dx+ (3x-2y+3) dy=0

A:

Q: Evaluate the given 1 dx J 2x/1– 9x²

A:

Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

A:

Q: Find the solution to the Bernoulli Equation. (3siny-5x) dx + 2x² cotydy=0

A:

Q: 30 csc (3x) cot(3x) dx (Use Substitution Method) 30 30 + C 6 cos² (3x) 6 30 30 + C 6 sin²(3x) 6 30…

A: Given that  I=∫ 30csc23xcot3xdx We need to substitute the appropriate value so we can solve it…

Q: Find The The Peeeeer genoval solution of (3y Cosx + 4x + 2x² ex) dx + (3 Sinx + 3) dy

A: The given  differential  equation  is  3ycos(x)+4xex+2x2exdx+3sin(x)+3dy=0.......(1) Now, (1)  can…

Q: 11 csc²(3x) cot(3x) dx =, (Use Substitution Method) 11 11 +C 6 sin (3z) 6 11 11 +C 6 sin (3z) 6 11…

A: