P(0) = {0} O P(A^) \ {0} C P(A)°

Q: 4. y = 5 cos 4x, 3rd derivative 5. y = 3 tan 3x, 2nd derivative %3D 5. y = 6 csc x, 2nd derivative

A:

Q: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

Q: what is higher order partial derivative and total differentials?

A: We have to define given Terms.

Q: х-tanx 2. lim х30 1-со 3 3. lim sinx lnx = 0 x→0+

A:

Q: 16. etan (1) sec² (x) dr

A:

Q: 16. Sinusoidal functions do not have any critical points.

A: False. Sinusoidal functions has critical points.

Q: evaluate using the appropriate method or combination of methods.

A:

Q: tion, what is the longest time within whic at the predator will have to spend more t

A: It is found that the time (in minutes) required by predator to find a prey is a random variable that…

Q: =) lim cos 3x sec 7x Xー

A: 1) a) The given function is, limx→π2cos 3x sec 7x. limx→π2cos 3x sec 7x=00 Rewrite the given…

Q: 1) lim y-4 x+6x+5 2) lim 2-3x-4 t+3t2-12t+4 sin3h-2h 3) lim 4) lim 3-4 gin

A:

Q: 2 tanx + 7tanx+ 5 sec2x 2 tanx + 5 X. %3D

A:

Q: sin 8 What is the exact value of Show your work for partial credit.

A: Find the value of sin(7pi/8).

Q: Using Differentials, approximate (4499)2-(401)2 AM

A: To approximate: 4.9992-4.012 Let, z=fx,y=x2-y2x0=5, y0=4 For the function z=f(x, y) at the point…

Q: 2)/ sinh cax )x

A:

Q: tion of all components of v(3) correct to two decimal places.

A:

Q: ftan (x}sec"(x)dx Scot (x)csc°(x)dx Ssin (x)cos°(x)dx

A:

Q: Prove: cosh 3x = 4cosh'x- 3 cosh x %3D

A: We will solve the following.

Q: T-cosx 2. limx-0 3.limx-0 sinx x2 +1 4.limx-0 x+cosx

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (sinh x + cosh х)*3 еx

A: Solution:-

Q: FIN 2 dx

A: Note:- In given problem, according to written way sin2x is multiplied by 3x+1. If you want solution…

Q: Fin derivative of the funclions. y=Log

A: The given function is: y=log3xx-12

Q: 12. etan 2x sec² 2x dx 13. Jdx/(x²-4) 14. (2x¹-x²) dx / (2x² + 1) 15. f (sec²x) dx/(√(1-4 tan² x))…

A: Given

Q: How is integration by substitution related to the Chain Rule?

A: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us…

Q: 2 tanx cotx – tanx=0

A:

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

A:

Q: elin (sin x+ cos x) dx 1. S ecosx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 1+ tanx log prove that = sec2x dx y 1- tanx

A: Giveny=log1+tanx1-tanx

Q: tion of the differe = e-x + x2 is

A:

Q: Sec-S 2 1 TanOLO

A:

Q: 000 Find the solution of heat equation by Fourier sine/cosine transform, if initial temperature is…

A: Here we use separation of variables. Means we assume that  ......(i)  be a solution of the given…

Q: Prove: cosh 3x = 4 cosh° x x-3cosh.x

A: Prove that :- cosh 3x=4cosh3 x-3cosh x

Q: feois Pdf find

A: f(x) is the probability density function if the area under the curve is one and f(x)>0

Q: 2. Solve 3shn-sinx-2= over the interval [0,27). 2 sın'x-sinx-|:0

A: The objective is to solve the above expression.

Q: = 5 sec x tanx %3D

A: Please refer to the image below

Q: (3 tanx-2 cos y)sec" xdx + tanxsin yay = 0

A:

Q: adient of f in diro

A: Given function is: f(x,y,z) = xy + yz2 + xz3.

Q: Solve x - cos(x) = 0 by Secant method. Use x-1 = 0.5 and xo = 1.0 as the initial estimates. %3D

A: We will find roots till 4 digit repeat

Q: Lim -> 0 Sin3ycot5y/ycot4y

A: limy→0       sin 3y .cot 5yycot4y   =limy→0    sin3y tan4yy tan5y 00farm…

Q: 6 lim Sinx ex -1

A:

Q: The first derivative of the power series 3x2 3x f(x) = 3 1! 3x3 3x4 325 %3D - 2! 3! 4! 5! • is

A: Formulae: 1. e-x = 1-x/1! +x2/2! - x3/3! +x4/4!- ....... 2. d/dx{ e-x} = - e-x   Answer: f'(x)= f(x)

Q: 1-2 c) dx

A: Evaluate the integral: ∫01e1-xdx. Simplify- ∫01e·e-xdx Apply ∫afx dx = a∫fx dx here a is constant.…

Q: irst and second derrivative of: 4In(Arctan x)=1-y

A: The derivative of a function f(x) is defined as limh→0f(x+h)-f(x)h. For some standard function the…

Q: 2) tan-l 1 Vz 4) sin-! 6) tan-1V3 8) tan-l 0 V3 10) sin-! V3 12) tan- 2. 2. 3.

A:

Q: 1- Genx :1 CSCX 2 CSCX=1 senx CSCX = I CSCX = 2 %3D 2- Cotx = 3 tanx= 3J3 3. 3 tanx = Cotx 3. 13 353…

A: first one is wrong.because secx=1/cosx.and sinx=1/cosec x.

Q: sech2(In x)

A:

Q: compute the derivative. 19. y=(2cosθ+5sinθ)9

A:

Q: sinh (2.Inx) n(coshx+Sinhx)+in(cashx-sinh x).

A: We have to rewrite the given expression by using the exponents.