express cach h the Fallowing integels . in herms of gamma Bunchien and Simpliky where possible.

Q: The Anctien fay 'and i not depned frather veher stake the demanin of sec d h....... the invens…

A: Given that f(x) = sec (x) ; 0<=x<pi/2. we have to find the domain of f-1(x). and we have to…

Q: n Ix]a Ex Sxt] Lb ee calcalate the expuliond faz s in Dimear geggelkion hion ee and. b. analys

A: Given,  the linear regression analysis matrix equationn∑X∑X∑X2ab=∑Y∑XYWe need to calculate the…

Q: find area Inside the oval limaçon r = 4 + 2 cos 0 Inside the cardioid r Inside one leaf of the…

A:

Q: in term of t, if w -+, x= cos t,y sint and z in term of t. if w = xy, x = cost and y = sint, whent=.…

A: 4. Given data is : w=xz+yz , x=cos2t , y=sin2t  and z=1t To express dwdt in terms of t

Q: 5Tt/6 5 2 1 1 \ZTt/6 11T/6 4T/3 5T/3 + C 5 r =1+ cos 0 r = 1– cos 0 - find the commen area berween…

A: r=1+cosθ and r=1-cosθTo find the area between these two region

Q: Lw(s) ~ 1 – Show that 1 is MTTF where

A:

Q: ON REDMI Y3 AL CAMERA - veifhy coucly's is Theorem for the function C) 3 Cosh(z+2 where C is the…

A:

Q: 1₁ -1.2 - St 0 √x sin ex dx

A: Given :   I1=∫01.2xsinex3dx

Q: Use

A:

Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

A:

Q: Linerije he lien apantion: 1. yeation; nen- x* xy+ 3y sie the ryin *T/ テ

A: Solution: We have to linearize the equation z=x2+xy+3y2 within the region 2≤x≤3,  11≤y≤12 Let us…

Q: for estimatng f6) interpolating Lec 5.2. Evalte Vpperbound r error ossocialed "with usmą PECW flo)=…

A: To find - Evaluate upper bound for error associated with estimating fα using P3x interpolating fx =…

Q: [AFE] Given, y = V1+ cos (x²) Find by using chain rule.

A:

Q: and casy=0t, and DLyr, Furd the exact alue of tan Ca-y.

A:

Q: : Find the length of the cardioid r = 1 + cos 0 0 < 0 <T

A:

Q: WORR on 2.3 #s 18, EPENTIATE THE FUNCT Y= Vx + x

A: differentiate the given function

Q: itegal 10. Find he Vadue anf P which the ntegral Caverges, absolutely Condlitionally". r Sin olu

A: Here we that sin function has modules less or equal 1.

Q: if y= Cot" (-+) y=Cot Prove that dy 1-x

A:

Q: az az and at as Use the chain rule to find sin(0) r = st, 0 = s6 + az as az at

A:

Q: s2 Q.3) Prove that L-1 () =(coshat sinat + sinhat cosat) 4+4a4, 2a

A:

Q: S sin³x /cosxdæ =? O a. ( ?cos'z – cosz) vcosa + C O b. ) +c rt), O d. (cosr + cosz ) /cosz + C C.

A:

Q: Qz Find ů the positine dinecter Cos

A: Solution: We know that -1≤cosz≤1 for all z Therefore, -1≤cos1z≤1 Then, -z3≤z3cos1z≤z3 Take limit as…

Q: The area between the two loops of the limacon r = 1 + 2 sin 0.

A:

Q: Enl the Laplace Trans For 16) f(1) = K cos(@t) 0<1<2z Io

A:

Q: Photo attached

A: The given equations are,

Q: Show that the function e cosy ti Siny) is an andlytic Runction 2 W= Sin Z Q2. Determine whe ther…

A:

Q: olve the following P.D.E by Lagrange method: az az -3 = x²y z(x,2) = x %3D əx ду

A: See the attachment

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

A:

Q: find the desivative d the findian bng = sin and compute gh2

A:

Q: The antiderivative of Cos(3x) is Blank 1 (use small letter no space)

A:

Q: 1 By writing u y", and using the chain rule, show that 0") = nyn-1. dx

A:

Q: 14 Using the medkod of variation of pacame terg that find satis fies y(0)%3D0 (0) = 0 CoS X S. Fid…

A:

Q: (a) If f(x,y) = e" siny – e" sinx then verify that fry = fyz-

A: This question is related to partial derivatives.

Q: own H 2-eriny and y= ecard. Knd the Ja x and y Loth respect to u and u.

A:

Q: Prove the following hyperbolic trig identity. cosh(x + y) = cosh(x) cosh(y) + sinh(x) sinh(y).

A: cosh(x+y)=cosh(x)cosh(y)+sinh(x)sinh(y)

Q: Fred show that Coshz-Coshx Cosy s +i Sinhx Siny O Coshiz= osz Sinh (iz)= j Sinz

A:

Q: *find te general Souliton hor the XZP +YZq =XM

A:

Q: Estimate x using the trapezoid rule withn=4 a. Type equation here. Redo 9 using Simpson's rule. a.…

A: Given  f(x) = x3  a = 0 , b = 4 , n = 4

Q: The area between the two loops of the limacon r = 1+2 sin 0.

A: Question- The area between the two loops of the limacon          r = 1 + 2  sin theta .

Q: x cosx dx Evaluate with Simpson's 1/3 rule using two, four, and six panels.

A:

Q: uate the erihite integrai. 1/4sin(t) dt Cos (t) COS

A: Follow next step

Q: ITwo waves traveling on the same string are described by the wavefunctions: (x.t) Asin (kx-t)…

A:

Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

Q: The pdf of the Gaussian distribution N(0, 1) is given by 1 2T Show that ſ f (x)dx = 1. Hint: Use the…

A: Given that the probability density function of a Gaussian distribution N(0, 1) is; f(x)=12πe-x22,…

Q: please solve this question

A: