inates. coordin (b) by symmetry considerations, without . 5. Given F= xi + yj + (z² − 1)k, find ff Fn dS over the closed surface bounded by the planes z = 0, z = 1, and the cylinder x² + y² = a², where n is the unit outward normal. fed the surface integral of the normal component of p

Q: FIND F'): a. (ax+)*

A: TO FIND: f'(x)

Q: True or false, a chi square curve starts at 0 on the horizontal axis and extends indefinitely to the…

A: True or false, a chi-square curve starts at 0 on the horizontal axis and extends indefinitely to the…

Q: Determine the points at which the function is not analytic: (3z - 1) / (z^2 + z + 5)

A:

Q: What is the shortest distance from the curve x^2+xy+y^2=16 to the origin?

A:

Q: 6 fla) 【うt+1} tx4)

A: given,        fx=3x4+1x3+4

Q: Use local linear approximation to estimate In(1.08)

A: Given problem:- Use local linear approximation to estimate ln(1.08)

Q: Illustrate Divergence in three Dimensions?

A: Divergent vector field. Three-dimensional vector field used to illustrate fluid flow with positive…

Q: -5 F' A' Ε' LD C' B' --5- D' 5

A:

Q: use the knowlegde of the mean value theorem to prove the trignometric identity…

A: The Given trigonometric equation is arccos1x2+1=arctanx.   As we know the formulas:…

Q: Consider AR(2) X = = $₁ X 2-1 + $₂ X=-2 +²+ A ^ find estimates , & $₂ using method of moments.

A: Consider a zero mean discrete time series xi1N which is an AR process. The equation for AR(2)…

Q: 5) Find the approximate distance between (-2, 6) and (3, 2).

A:

Q: for Y^2 = x^3 + 4x + 3 (mod7) show that points on the curve are: show that (1,1) + (5,1) = (3,0)…

A:

Q: 20 Write the equation of the _3x² + 5y² + 2xy = 76 tangent at the point (-2,42. line to

A:

Q: Use the limit definihon of the that gex)= derivative to show 9(x)= 3 3 has denvahre X+5

A:

Q: Given y= (3x^2+2x-1) / (x+1) determine - a) all restricted values b) all missing points (x, y) c)…

A:

Q: Consider a smooth function f such that f'(0) = -2. Given the following approximations of order 2 of…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: O Differniate the function after a di fferewt form first rewirming the functio^ * Dont use Product…

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

Q: Q3); Consider the function f(r) =r for r> 0. (a) Compute the first derivative using forward,…

A:

Q: On parable y=x^2/2 set point, which distance from point P=(4,1) is minimal.

A: Given: Equation of parabola: y=x2 /2                      point P= (4,1) To find: Point on parabola:…

Q: Determine the points at which the function is not analytic: (iz^3 + 2z) / (z^2 + 1)

A:

Q: limit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.

A: Consider the given function (x-2)11 / (3-x).

Q: Use the limit definition to calculate the derivative of the function : r(t)=(3t+4)i+(t^2−4t+3)j.

A:

Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: Show with the middle value theorem that the second derivative f'′ has at least one zero (for this…

A:

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for f(x)= x^3-x-1 on [-1,2]. Sketxh the…

A: From the mean value theorem, if the function y=f(x) is continuous in the interval [a,b] and…

Q: QI/ Prove that the equation x (Inx)* has a root in the interval [4,5].Then by bisecting this…

A:

Q: Use the gradient descent method in the equation f=2(x_1)^2 + (x_2)^2 with the starting point (1,2)…

A: Given : equation                fx1, x2=2x12+x22 with starting point 1, 2 Use gradient descent in…