Differentiate the following v=(1-t)(1+t2)-1

Q: Use the Quotient Rule to compute the following: d/dt (t^2+1/t^2-1) at t= -4

A: The quotient rule of derivative is    ddtuv=vdudt-udvdtv2

Q: Find the value of c such that S xe = 3.

A:

Q: こ= (t)} () て= () %3D - (^),J %3D てんn ZトXC

A: →∫eax+bdx = eax+ba + C, where 'C' is the constant of integration.→∫xndx = xn+1n+1 + C

Q: Suppose that f(æ, y) = e" = e-3z? - 4y? +y

A:

Q: Differentiate fx) with respect to g(x) of yx= xsiny

A: To find the derivative

Q: a of the following juncions. s- 1 (b))F(s)% = %3D 2s2 -8 s + 11

A:

Q: the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at…

A:

Q: Determine whether X and Y are independent: 2e--2y x, y > 0 a. fxy(x, y) =

A: Hello! As you have posted 2 different questions, we are answering the first question (4-2). In case…

Q: Evaluate the followingintegrals.∫(z+1)√(3z+2)dz

A:

Q: Show that (A − B )T = AT − B T .

A: Given  (A − B )T = AT − B T

Q: 8z Find at (2, -2, 1) if By z' +y +z2 = 6xz +6yz +21 eej49 1.

A: Given x2+y2+z2=6xz+6yz+21

Q: Find the MRSxy of the utility function U=In(x)+y.

A:

Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

A:

Q: Suppose that f(z, y) = 10z²y² + 8z? + 2y? then find the discriminant of f.

A: We have to find the discriminant of the function of two variables fx, y. It is given that the…

Q: Obtain characteristics y² Uxx + Uyy = O

A: Given equation is  y2Uxx+Uyy=0 Now comparing with  AUxx+BUxy+CUyy=0 We have A=y2, B=0, C=1

Q: The DE : y' = e5x-7y is seperable Select one: True False

A:

Q: You know that: g(t) dt = 21 3 9(4) : %3D V3 g(9) = 3. V3 g'(x) Evaluate: da 9 + (g(x))²

A:

Q: Find the d. c. of from definition. Vx

A: As per the question we have to find the derivative of the function : f(x) = 1/√x Using the limit…

Q: 3 ) Express f(t) in terms of the unit step function u(t).

A:

Q: Find the following for z = f(x, y) = x? +5x2y3-y. az %3D ax

A: FOLLOW NEXT STEP

Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = xey.

A: Given function is fx,y=xey We have to verify fxy=fyx Solution: fxy means that first we find partial…

Q: f(z) =z2 is discontinuous in C

A:

Q: 7. Let f(x, y) = 10x³y* + 21xy². Find fyyy. .3,4

A:

Q: Find f(t). s(s + 1).

A: L-1[F(s−a)]=eatf(t) From first shifting property, L{e^(at)*F(t)} = f(s-a)…

Q: Find x' for x(t) defined implicitly by x+t°x+t -8=0 and then evaluate x' at the point (-2,2).

A: x3+t3x+t4-8=0Differentiate w.r.t…

Q: Find x' for x(t) defined implicitly by x +tx+t° - 5=0 and then evaluate x' at the point (- 1, - 3).

A: Follow the procedure given below.

Q: Evaluate f 26t 3 dt where B is a real valued constant.

A: As per guidelines, I can answer only one question.

Q: Find f, and f, for f(x,y)=y In (2x+7y).

A: F(x,y) = y ln(2x + 7y) To find : fx and fy

Q: Q1 but f(x,y) = x²y²sin-'O xf, + yfy = 4f (x,y) between

A:

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

A:

Q: Find the zeYo k its ovdev for Sunction f2)=1-Ti + Z+ e.

A: Given the function, f(z)=1-πi+z+ez. Now, in order to find the zero of the function f(z), we will…

Q: Find the particular sölution f"(x) = 4, f'(2) = 12, f(2) = 17

A: integration 2 times and after applying initial condition we get f(x)

Q: Let z = 3x*y, find Vz.

A:

Q: | f(t) dt 20z 4, then f (t) dt is If 4x²+21

A:

Q: 3. Assume that z= 2(r.y) and ee = ryz Find and

A:

Q: 2t (t - 7 dt

A:

Q: H.W. a PDE from the followi'ng- @u=f() Form メツ 0u=fcx?ー)

A:

Q: By direct differentiation of x(t) = eAtxo + eA(t-o) Bu(o)do show that ¿(t) = Ax(t) + Bu(t), x(0) =…

A: The differentiation of a definite integral can be obtained by using the Chain Rule following…

Q: Q, Frd the donain of H fallowing function: fa) = 5x -3x-4

A:

Q: Q.8 Find the gradient Vw ofthe function w = In /x² + y² + z². %3D

A: Given function W=ln(√(x2+y2+z2)) Now we will find the gradient as shown below

Q: e-", if 0 3,

A:

Q: 4. Now, determine the value of c in (0,1) such that f'(c) = 2 %3D fx) =4x

A:

Q: b) u(х, у) on the domain 0 < [z| < ∞. x² + y? Why is v(x, y) single-valued in b?

A:

Q: Find ds/dt if t = sy1- s2

A:

Q: a) Use the definitlon of derlvative to find ds If dt 2t+1

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: differentiate. a) g(t)こ3-2t St +1 c) H(u)= (u-JJ) (utro) d) FLt)- モ-3 %3D

A:

Q: Find the 2nd solution using reduction of order. xy" +y' = 0; y1 = Inx For the toolbar, press ALT+F10…

A: Just I have used the method of reduction of order and solve in detail and find that  Second solution…

Q: Calculate az/ax, where xez + zeY = x + y.

A:

Q: Suppose A = xy" where x, y e R". Show that ||A||2 = ||x||2||y||2-.

A:

Q: 1 V1 – x z 1 – at x = 0 x, 2

A: Since you are asking part (c). We are answering only the (c) part for you.…