Find the Laplace transform L (cosht cos²t) @ & L (sinhst cashet) (2 3 L (sin't cos't)

Q: Use a calculator to compute sinhx and coshx for x = -3, 0, 5.

A: We use a calculator to find the values.

Q: cos(: sin@)]=[- sin(esin@)]. * (b) (i) Show that - cose dt

A: We will use product rule of differentiation here

Q: By writing T/4 = (T/3) - (T/4) and considering e^iT/12, evaluate cot(T/12) and tan(T/12).   Where T…

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Q: θ = cos^-1[sin(LT1) sin(LT2) + cos(LT1) cos(LT2) cos(LN1 − LN2)] How does this formula go with…

A: Consider the figure as our Earth. O is the center of the earth Point P on the earth surface has…

Q: To find the Laplace transform of e^(6t)cos(at)you would substitute  into s/(a2+s2) which gives ?…

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Q: sinx + sinx CScx + 1 CScx - 1

A: Use following trigonometric identities  1. cscx = 1sinx 2.(csc2x - cot2x) =1

Q: Find dy dx tan/ sin3x) + eos (cos. .....

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Q: Find dy/dx of inverse tan(1/x) multiplied by secant(x)

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Q: Suppose you want to prove that ARST Theorem. If you know that ZR = LX, what else do you need to…

A: In ∆RST  &  ∆XYZ, ∠R≅∠X.

Q: Evaluate dy/dx at the point (π/2, π/2), if 2 sin^2 x + 1/2 cos y = (3 sin x)^11 . Mention all…

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Q: L{sinh 6t– cosh t

A: we have to find the value of L{sinh(6t)-cosh(t)}

Q: Verify the identity sinh x + cosh x = ex

A: To prove the identity

Q: The value of i log (x -i) + i? n + i³ log (x + i) + i* (2 tan-'x) where x > 0 and i = Fis

A: Introduction :

Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

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Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Find f. f"(x)  =6 x + Sin x

A: Given: f"x=6x+sinx we know that f'x=∫f"xdx                                      ..1 so, by using…

Q: 1 V25 81x2 xp +C WeBWorK notation for sin '(x) is arcsin(x) or asinx), for x) it's arctan(x) or…

A: Given,

Q: Use a calculator to compute sinh x and cosh x for x = −3, 0, 5.

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Q: Differentiate  (sin 2t)/t.

A: ft=sin2tt

Q: a) Use suitable sum and difference identities for hyperbolic functions to show that sinh(5x)…

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Q: Show that z- sinh z Rcs :* sinh z

A: