@ sinhz= loy (z+[2+1) %3D

Q: 9. t² cosh 3t 10. t³ sinh t

A: solution of the given problem is below using laplace transformation...

Q: Evaluate y' y = cosh²12x +sinh²6x

A:

Q: Compute cosh x and tanh x, assuming that sinh x = 0.8.

A: Here given as sinhx=0.8 Use the identity…

Q: sinh2 (등)

A:

Q: ЗсoshЗx dx| 4 + sinh3x 1/3

A: Given: 13∫3cosh3x4+sinh3xdx

Q: EX / Show that cosh x-sinhx=1

A:

Q: Evaluate S sinh x cosh x dx by introducing u-sinh x

A: Given that: ∫sinhx.coshx.dx

Q: find the length of the curve y = arcsin e^(-x) from x = 0 to x = ln 5/4

A: Given curve, f(x)=arcsin e-x from x=0 to x=ln54

Q: Integrate O sinh 2x dx

A:

Q: 8. Find the principal value of Arc tanh(1 + j2)

A:

Q: Use differentials to approximate the cube root of 0.009.

A: Approximate  0.00913

Q: Evaluate / x cos(128x)dx. Use capital C for your constant of integration.

A:

Q: Evaluate the integral.

A:

Q: L(cos(at)sinh(at))

A:

Q: 2. Evaluate the integral: | sinh x cosh² x dx

A:

Q: In( cosh(7x) + sinh(7x)) + In( cosh(7x) - sinh(7x) ) =

A:

Q: dy log x If xY = ex-Y, prove that %3D dx (1+ logx)?

A: Introduction :

Q: 6.) y'of y = Insin(arctan 3x)

A: This is a basic differentiation question

Q: sinh(In In a)da is equal to xlnx

A: To find:∫sinhlnlnxxlnx dx

Q: Find cosh² (t) sinh5 (t) dt.

A:

Q: vx +1 Sinh Cschx = In 671 %3D %3D

A: First, let us evaluate sinh-1x.  Let  sinh-1x=zx=sinhz It is known that sinhx=ex-e-x2 Therefore,…

Q: Use differentials to approximate the value of: 26

A:

Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

A:

Q: Use differentials to approximate the value of <2.1.

A: Given  Find the value of 52.1

Q: (log a) dx 1+x²

A:

Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: The Smith's invest $10,000 in an account that grows to $12,000 in 5 years. What is the annual…

A: Consider the given smith invest $10,000 in an account that grows to $12000 in 5 years

Q: Use reduction formula to find (tanh" xdx 10

A:

Q: Find the indefinite integral. sinh(4- 5x) dx

A: To find:∫sinh4-5xdx

Q: •2 5. Calculate | x In(3x)dx.

A: Given integral:

Q: Jrin m In(cos m) dm

A:

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: d y' of y= In(tanh2

A:

Q: Suppose that a car accelerates at a rate of a(t) = t – 7 meters per second. Use the Fundamental…

A: ANSWER :

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: Use differentials to approximate radical (48.7)

A: Ne need to approximate √48.7 using differentials.

Q: fil experini for dy txďn

A:

Q: Evaluate the integral. sinh 5a -dx +C. 5x

A: Evaluate the integral the given function Sinh is hyperbole function.

Q: Evaluate the integral.

A: ∫cosh2(x)sinh(x)dx

Q: Integrate f sinh 2x dx

A: In this question we have to find Integration.

Q: 5. f (t) sinh 3t + cosh 3t – 2t³

A:

Q: find the antiderivative of dx/sqrt(ex-1)

A: To find : The antiderivative of dxex-1 Solution The antiderivative can be evaluated as, ∫dxex-1 Put…

Q: Q2): If sinh(x) =find tanh(4x). %3D

A:

Q: a. Find the root mean square value of tanh x, for 0 < x< 2.

A: we know the formula of root mean square, rms = [ (1/b-a) (integration of |f(x)|2 from a to b) ](1/2)…

Q: Find y' of y= In(tanh2x)

A:

Q: Sind dy forys(x) dx 3517X

A: y=(xx)3sin x

Q: Q3: Find 1. cosh(5x)+ sinh(5x) 2. (sinhx+ coshx)*

A: Given,

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.