A(,4)>( B(1,-)(

Q: Get the derivative of all the functions. 1. ?(?) = 9?^5 + 2?^4 + 3?^3 + 7?^2 + 1 2. ?(?) = 5?^2−2…

A: To  find the derivative with respect to x

Q: branch of z1/5 that is not continuous and positive on the imaginary axis?

A:

Q: Find the 3rd derivative of the function y = (3x³ – 7x2 +5) (x²+5) O y" = 120z2 - 168z + 90 %3D O g"…

A: Recall:Firstly product the givern term and find function of 'x'   i.e;   y=fxSome formula:∙ddx…

Q: find I of implicit function sec""cImcy)- In(8**) when yoo

A: 9999

Q: A number of the form iy is called pure imaginary

A: A number of the form z = x + iy is known as complex number, where x is real part and y is imaginary…

Q: of f(x, y, tion of ve

A:

Q: 4. Give an example and a proof to not increase intrinsic distance.

A: We have given statement that Local isometries can shrink but not increase intrinsic distance. We…

Q: Estimate f (2.1, 3.8) assuming that f(2, 4) = 5, fx(2, 4) = 0.3, f y(2, 4) = -0.2

A: Given : f2,4=5.fx2,4=0.3 , fy=2,4-0.2The linear approximation is :Lx,y=f2,4+fx2,4x-2+fy2,4y-4Now,…

Q: Suppose that | f(z)dz = 2, | f(z)dz = 1, %3D [ 9(2)dz = - 5, | 9(2)dz - 2. Then, | (=) – g(2))dz =

A: Given: ∫25fxdx =2, ∫23fxdx =1, ∫25gxdx =-5, ∫23gxdx =-2 To evaluate:∫35fx-gxdx We know that…

Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: To calculate the integral

Q: 5. Differentiate using quotient rule: x+2 y x-2

A:

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

A: We will solve the following.

Q: In (In(ax))

A:

Q: How can you apply the chain rule in calculus 3 with multivariable calculus

A:

Q: 0.2 Differentiate In x+1, with respect to x. x²-x+1

A:

Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

A:

Q: State the theorem for general Version of the Chain Rule.

A: The chain rule of derivative is used to find the derivative of composite functions. The chain rule…

Q: Let f(2) = y variable defin exist?

A: The given function fz=-y-2xy+i-x+x2-y2+z2 Here, z=x+iy. Therefore,…

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: 5. Compute Jo Jitvx 1 dx -2

A:

Q: у" - In x

A: Given: y''=lnx

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

A:

Q: adient of f in diro

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

Q: Show that x + is increasing on [1, 0).

A:

Q: One of the following is a set of linearly dependent functions on the interval  (-∞,∞)

A:

Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

A:

Q: Find without using the Chain Rule

A: The given differentiation is:  ddxlnx101 To evaluate the given differentiation, apply the…

Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

Q: Exercise 8. Evaluate cln 2 xe-* dr

A:

Q: (textbook, section 0.4, exercise 5) Evaluate the quantity V16x+- x² - 4x wherex = 8.0, correct to at…

A:

Q: Consider the follow ing LP model: max z = 50x, +100x, X +x, 5 300 | 2x, +x, 5 400 St. X, S 250 X, X,…

A:

Q: Show that div (r x a) = 0

A:

Q: 5, what is f'(x)?

A:

Q: 2an-butn Converge bey to

A: The given sequence is an.bnn=1∞ we observe that there is N1>0, so that when n>N1, we have…

Q: determine maximums and minimums by the Second Derivative Test, we differentiate y"=72 / (2-8)3…

A: topic  - local maxima and minima

Q: tost con Vergen ce and divergence 2 Lnn /-

A:

Q: 13,4) f(x.y) =In(x + x² +y² If Find x

A: f(x,y) = ln (x+x2+y2)∂f∂x=∂ ln (x+x2+y2)∂x=1 (x+x2+y2)×(1+12x2+y2)×2x

Q: Show that: sec²x + csc²x = sec2x.csc2x %3D

A: To show: sec2x + cosec2x = sec2x·cosec2x

Q: Find increasing and decfeasing fundn of fu)- e- where

A: Given: The function f(u)=e-unn  where n =782

Q: Explain how successive over relation is obtained from the Gauss-Seidel method.

A:

Q: hraj h(x) = 3x-2 x347

A:

Q: Show that cosh x> 1 + x² for all x.

A: comparison

Q: Show that cothx x+1 In X-1,

A: Solution

Q: eturns ABC XYZ 0.2515 -0.22 55 0.4322 -0.28 45 -0.14 33 0.3144 -0.0645 -0.51 14 0.33 78 0.5534 0.68…

A: Covariance and correlation are two important concepts in financial analysis.