2/ That the Value of the integyation Where (9jis a function that is differentiable and Verifiable g g(2)3D0 and gc)=.

Q: Verify Mean Value Theorem for the function f(x) = J in interval (0,9]

A:

Q: B)Is w = Ze² analytical function or not?

A:

Q: tion f defined as xy Ax, y)=- when (x, y)#(0, 0) when (x, y)=(0, 0) =0, is continuous at the origin.

A:

Q: is there any linear independent functions with n – 1th continuous derivative g1, 92, ... , gn(with…

A:

Q: Lat f be a continous and differentiable function. If f'(c) = 0 then c is a local maximum or local…

A: Answer

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: A Bifolium is the family of curves given by (x +y)* = kx²y, where k is a real number constant. %3D…

A:

Q: Why is the function f(x)= cotx not differentiable on the interval [0, pi] ?

A:

Q: 1. Show that a frination fiłamb ]->1R is differentiable at xolamb) is and only if its lower and…

A: Solution: f:[a,b]→ℝ is differentiable at x0(a,b). Let us take upper derivative at x0+. Then,…

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14…

A: To find: The expression for the volume V of the box in the form of x. Given: The dimension of the…

Q: 7. Differentiate the function using quotient rule. хех y = x + ex

A:

Q: ion ƒ(x) is infinitely differentiable and that f'(x) = - st, second, third and n-th derivative of f…

A:

Q: 115th derivative of f(w) = cosh w %3D 2

A: Finding the nth derivative.

Q: Use Linear Approximation to estimate Af f (2.05)-f(2) for f(x) = %3D x+I (Use decimal notation. Give…

A:

Q: pn, sketche 40 7- 1- -3 -1 -2 -3 hu r

A:

Q: YDiscuss the integrabilty of the function f(x) = on [0,7).

A: We need to find the integrability of the function and find the integral of it.

Q: What is the isogonal trajectories family of curves x² - y² = a which intersects at an angle of ∅ =…

A:

Q: Is the function f(x) = |x| cos x differentiable at the point x = 0 ? (Use definition of the…

A: if lim∆x→0f(∆x+x)-f(x)∆x doesn't exist then not differential

Q: Find the imaginary part of an analytic function whose real part is e* (xcosy - ysiny).

A: it will be satisfy CR law equations

Q: (b) Use the First Derivative Test to identify all local extrema. Local minimum at x = Local maxiтит…

A:

Q: ) A wire of length x is bent into the shape of a circle. Express the area A of the circle as a…

A: Length of wire =xgiven   So, circumference of given circle=x    Let radius of circle be  r…

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14…

A: Given,The dimension of the rectangular piece of cardboard is 14 in. by 22 inAnd we construct a box…

Q: 7) Use a tangent line approximation with the function g(x)= Jx to estimate 9.2 . %3D

A: topic - tangent line approximation note :as per bartleby guidelines we are supposed to answer only…

Q: The slope of the tangent line to the differentiable function f at the point (2, f(2)) is…

A: It is given that the slope of the tangent line to the differentiable function f at the point 2,f2 is…

Q: Use the linear approximation to estimate Af = f(3.2) – f(3) for f(x) = 1+x² * (Use decimal notation.…

A: Given: f(x)=81+x2

Q: Find the tangent line approximation for f(x) = v2 – x at x = -2. Use it to estimate the value at x =…

A: Solving using linear approximation formula

Q: Find the absolute extrema of the function on the closed interval. TEX y = tan 16 ), [0, 4] minimum…

A: Given that, The function is y=tanπx16 on the closed interval [0, 4]. To find absolute extrema:…

Q: The derivative of the function Ve-tanh a is O y = -sech3x vetanh z 2 O y = -sech?x Ve-tanh / 2 O y =…

A:

Q: when that this 1x² + y² Shothathis sho (x, y) (0,0) and f(0,0) function is continous at (0,0)

A:

Q: Find the x-value of the extrema by using the Second Derivative Test. Justify your answer. f(x) =…

A: As per the question, we need to find out the x value of the extreme, for bubble 3 only. For (3),…

Q: Determine the values of a and b such that the function is differentiable on (-, x2 +b, x〉2

A: Given piecewise function is:A function is differentiable when it is continuous and the left and…

Q: Fexiy)= 2+3トなら-3A Ris Rectanghe ( (ろy)と1メ,-

A: This is a problem of maxima and minima. By using first derivative test we will find out critical…

Q: Are there independent linear functions with derivative number n – 1 continuous 91 ,..., „,with…

A:

Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

A:

Q: Q4/ Explain the rule of maximum and minimum using Derivatives with an еxample?

A:

Q: By using caushy Rieman find the derivative of f(z) =Iz| if it exit ® fLz) = 2 +Z1

A: It is given that the function fz=z. The function fz=x2+y2. Note that, If the function is…

Q: If we discuss the derivative of the function f(z) = z. Imz by Cauchy- Riemann equations. we see fz)…

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

Q: 5. What is the value of the second-order derivative of the function with parametric expression x =…

A:

Q: Find f'(x)'f f (x)= arctan (Inx) %3D

A: Using composite function formula.

Q: Describe the x-values at which fis differentiable. (Enter your answer using interval notation.) F(x)…

A: Function f is differentiable at x=a if and only if f'(a) exists.Given that f(x) = x+2 + 2first find…

Q: Give one problem for  partial differentiation of function of U with respect to 3 independent…

A: It is partial derivative problem

Q: A box with an open top is to be constructed from a rectangular piece ofcardboard with dimensions 12…

A: The length of the cardboard box is (20 - x - x) = (20 - 2x) in. The width of the box is (12 - x - x)…

Q: By considering appropriate curves which approach (0,0) (or other- wise), show that there is no value…

A: Continuity

Q: Verify Mean Value Theorem for the function f(x) = x in interval [0, 9] %3D

A:

Q: 7. Verify the validity of the Mean Value theorem of Lagrange in the case of f(x) = 2x3 – x +1 in the…

A:

Q: 2.) Investigate the derivate of the function f(z)=Imz by using definiton of derivative.

A: The derivative of a function is represented as the change in variable with respect to change in…

Q: If when infinitely differentiable function Cv.y)= (13.4). X=r COSX ノ 3, 1) at point 2a=-2, zrr=0,…

A: