y(s) = S+68) Osng tronsform Loploce toble ad solve following eguote S+26 (8+16+22° 22 -46t t .e -> Y (s)? y(t) = jin 68t=7 Y(s)=?

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: 1 12+e 5. S dx X Siztex e 12e™* +1 V

A:

Q: csch-1 x= x = sinh sinh11 X Prove mathematically that the right-hand side is equal to the left-hand…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: tan 0 d 30. dO sec² y dy

A:

Q: By using fixed points find the roots of equation f(x) = x + 4x –- 2 x, = 0 E= 0. .0001

A:

Q: e* secʻ(e* +1dx tan(e* +1) 8. 2x² – 7x -5 9. 2x+1

A: 8) Consider ∫ex sec2(ex+1)tan(ex+1)dx                       (1) Let tan(ex+1) = t On differentiating…

Q: 1.) y = (3x² – 1 ) (4x +7 )

A:

Q: 36" -dx V6* +3

A:

Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

A:

Q: how

A: Que seems some data missing. Though I have simplified the given expression as much as possible.…

Q: Q2/ Find tan 3x 813+9

A: ∫tan-13x81x2+9dx=154tan-13x2+C Where C be the integral constant.

Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4; y" (0) = 17 1) 2) Roots of Auxiliary Equation…

A:

Q: Let = ary- + ba-y", with a and b constant. Pis a point given by (-1,-1) and it is known that (P) =…

A:

Q: If y = csch4 2x°, find the 1st derivative a. 20x*csch42x° coth 2x5 b. -40x4 csch4 2x° coth 2x c.…

A: Some derivative formulas: ddx(f(x)g(x))=f(x)ddxg(x)+g(x)ddxf(x) ddx(u(v(x)))=u'(v(x))ddxv(x)…

Q: The equation P (t) = 20 sin(2nt) + 98 models the blood pressure, P, where t represents time in…

A: Consider the function which models the blood pressure. P(t)=20sin(2πt)+98 Here P is the blood…

Q: $] Solve y"-3y' = 2e* +5sin 2.x

A: We  have to solve the differential equation   y''-3y'=2e3x+5sin2xHere the homogeneous part  is…

Q: 5. [tan³x sec³x dx

A:

Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: Explain why (sinx-2)(cosx + 2) = 0 has no solutions.

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Q: Find y'". y = - 3x° (5x + 6)? O A. - 330x5 -1,800x4 - 60x .3 O B. - 3,150x5 - 5,400x4 - 2,160x3 OC.…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.