22. The period of the function f (x) = 105 sin(210x + 420) is A. 420 105 C. 210 O. D. 105 7T B.

Q: 1- Calculate the value of y if: a-y= sin "(0.25) + sinh (2). b- y= sinh (15)+cosh"(31)

A: Note: According to our guideline, we will answer one question. As the exact one is not specified.…

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin-1 5x)…

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Q: 26) If y=sin(-0).find dy d0

A: Given.

Q: 4- Find dy/dx for: a- y = sec?x – tan²x b- y = sec (– x) c- y = sin(tan(3x))

A: As per our guidelines ,we can solve only first 2 subparts of a question.Please resubmit the other…

Q: 14. S 5 sin 3x cos 3x dx 15. ſ tan? Ode

A: We can solve the given integral as follows:

Q: 4iven oc= sin34 ond y= cos 34, find the follo wing derivatives as functions of t dy doc

A:

Q: 1) Find dy/dr by implicit differentiation. tan n'(xy"+y)= x

A:

Q: 1. If the velocity of a particle is given as h(t) seconds, what is the displacement of the particle…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative af/ar if 1 f = ? + y?

A:

Q: 4. Determine the following derivatives without simplifying either before or after. d a. dx -…

A: As per the guidelines I am supposed to do the first three parts of a multipart question.  So I am…

Q: (c) Show that the function z -- eX sin yt ey cos

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find (27). = sin e 0 X = 0 and

A: Given 3x2-y2=t2 and y=tsinθ

Q: 26) y = tan((T/6)x) Period: TT. -217 -ㅠ TT 21T -2 -1 -1 -2 -ㅠ MCL @01 %24 ElN-

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Q: The result of dy/dx for the following function is COS X y = 1+sin x

A:

Q: Suppose A is the annihilator of y= e*sin(x) – 3cosh(x), if f(x) = A(sin(x)), determine the value of…

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Q: x4 1 If u = tan(- + y° x² – y² - then show that ди du + Y- ду X - = sin2u dx

A:

Q: 3. It is given that sin(x) + cos(x) tan(y) = 1. Use implicit differentiation to find d dy dx

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Q: B-The result of dy/dx for the following function is cos x y = 1+sin x

A: We have to find out derivative

Q: A particle moves along the x-axis with velocity given by v(t) = 5 sin (t) for time t> 0. If the…

A:

Q: 1) Find dy/dr by implicit differentiation. box answer tan (xy¯+y)= x

A:

Q: 4. Find when dx tanx a. y e, giving your answer as a function of y. b. y- In(xvx-1), x> 1 sinx-cosx…

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Q: B-The result of dy/dx for the following function is COS X y 1+sin x

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Q: Solve the following intial value problem. x cos" Cy) de (4) dx + tan y dy: y(l0)=10

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Q: V3 Find cosh 0, tanh 0, coth 0. 2 B) If sinh 0 =

A: Given that sinhθ=32 We know that cosh2θ-sinh2θ=1 ⇒ cosh2x=sinh2x+1 cosh2θ=322+1=34+1=74 coshθ=72…

Q: ,2x Set* sin(e2*)dx

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Q: 4. Find the solution of the equation = e * cos y dy? which tends to zero as x → 0o and has the value…

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Q: Find the derivatives of the functions s = 4/3πsin 3t + 4/5πcos 5t

A:

Q: 04: Find dy/dx for the following function: (1) y=sinh-1(tanx)

A: Given problem:- y=sinh-1(tanx)  Find dy/dx

Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In ( 1 + (Inx)2 + (In vx) 3 3x 2) y = tan-1…

A: Use formula of derivative  to solve

Q: 3+6 b. (2xy-sin x) dx + (x-Cos yldy

A: Topic:- solution of differential equations

Q: Q2- Find for the following function :- dx 1- y = sinh-(tan x) – tanh-1(sin x)

A: We will differentiate using direct formula and chain rule.

Q: 10 5. Find dy/dx if x tany + y" Sec x = 2x.

A: 5. Given: x2tan y+y10sec x=2x Differentiate both sides with respect to x: ddx[x2tan (y)+sec(x)…

Q: 5) Find 业一 dy for y cos(x) sin(x)

A: We have to find the first derivative.

Q: Suppose x and y are functions of a third variable t. If sin-(x) + cos°(y) = = and dr dy what is the…

A:

Q: 2. 2メ dy dx for y = Cos (ln x + e put lに

A: y = cos2(ln(x) + e2x)

Q: 4) Given y = 3 sin 2x, Find the Amplitude Interval and Period (n2, 0) (0. 0) Amplitude interval =…

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh (15)+cosh (31)

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. Find each of the following derivatives. d a. [cosh(2x² - 4)] dx b. 0| dx [tanh(4e³x+1)]

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Q: Find the solution of the equation = e Cos y ax ay which tends to zero as x → 0o and has the value…

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Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: 4- Find dy/dx for: a- y = sec?x- tan?x b- y = sec - x) c- y = sin(tan(3x))

A:

Q: dy cosh x dx + (sinh x)y = e-x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: S 4 cos (x) sin (x) dx = %3D

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Q: 16. S(3 sin 0 + 5 cos 0)d0

A: A detailed solution is given below     ( As per our guidelines, i have to answer only 1st question…

Q: What would be your of 'du' using the IBP (e^x) (sinx )dx * none of the above e^x cos X sin x sin x…

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Q: Find the solution of the equation =e COs y %3D hich tends to zero as x 0o and has the value cos y…

A:

Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh'(15)+cosh (31)

A: according to the guidelines of bartleby I will do only first question please ask rest of the…

Q: V3 Find cosh 0, tanh 0, coth 0. 2. B) If sinh 0 =

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We know that, cosh2θ-sinh2θ=1 Putting…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.