to decide if the equilibria te that In(x) > 2 for all

Q: ) The tangent line to y = f(x) at (-5, 2) passes through the point (-7, -5). Compute the following.…

A:

Q: What happens in Newton’s Method if your initial guess happens to be a local min or max of f ?

A:

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: り If X~メ (2)、 Find the 32-moment of x about zero

A: Introduction: The random variable X has a chi-squared distribution with 2 degrees of freedom, that…

Q: 1- tanhx = sech x

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

Q: With the help of Weingarten equation show that H[ñ ñ2 ] = FN – GM %3D

A: Given: To show the given statement as follows, The given  H    n→  n2→  r2  →  = FN - GM.

Q: 1. ) Find the point on the parabola y² = 2x that is closest to the point (1, 4). To get fuill credit…

A:

Q: A particle moves in a straight line such that its acceleration when at position x (with respect to a…

A:

Q: Find a polvnomial f(x) of degree 4 with real coefficients and the following zeros. 3,-4, 2+i 1) - 0…

A: Given,  The zeroes of the 4 degree Polynomial f(x) is 3, -4 , 2+i and 2-i.

Q: will allow as te solve for x?

A: we have to tell which equation will allow us to solve for x.

Q: Find the extreme values on the interval:  f (x) = ex − 20x − 1, [0, 5]

A: Given, fx=ex-20x-1 in [0,5]

Q: Aregular octagon

A:

Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

A:

Q: on. Find the method of moment estimate for 0

A: Given that sample size n = 4,  Y1 = 0.42, Y2 = 0.1, Y3 = 0.65, Y4 = 0.23

Q: 2) Use Newton's method to approximate the zero in f(x) = - x3 + 3x-x + 1, or explain why Newton's…

A: Consider the given function,

Q: How many days would a 67-unit construction activity lasts if this activity have a parameter of…

A: The activity has a parameter of 0.9 man hours per unit.To Find: In how many days the activity will…

Q: S x2tan (x³)dx

A:

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: Use Newton's Method to approximate the zero(s) of the function f(x) = x' +4x +1

A: f(x) = x5 + 4x + 1 Basic formula for Newton's Method is: xn+1 = xn - fxnf'xn f'x = 5x4 + 41 + 0 =…

Q: 3) Use the Intermediate Value Theorur to show that there ís a root of the equation Make sure you…

A:

Q: ) Use Taylor's formula to estimate the error in the approximation In(x) ~ P3(x) or all x in the…

A: Since you have posted multiple questions but according to guidelines we will solve the first…

Q: ty - (t+ 1)у + у %3Dt?

A:

Q: etanx -25ınttanx=0

A: tanx-2sinxtanx=0

Q: . Determine the upper bound on the error in the approximation: x2sinx3 x. - if x|<0.8 6.

A:

Q: Use the Max-Min Inequality to find upper and lower bounds for the value of dx. 1 + x

A:

Q: find the critical points and determine whether they are minima, maxima, or neither g(θ) = sin2 θ + θ

A: For critical points, Equate the derivative of the function to 0. Here, g(θ)=sin2 θ+ θ

Q: Use Newton's Method with the function f(x) = x² – 2 and initial value xo = 1 to calculatex1,X2, X3 .…

A:

Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

A:

Q: tion k passes through the points (4.

A: Please refer to the image below

Q: Find y' by ased proportici Ln Xャ3

A: Taking natural log both side

Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to TU 2e4

A: The explanation of answer as follows :

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

A:

Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t

A:

Q: Solve the problem in a paper and upload as pdf document If f(x,v) = log,(3x), Verify fxy=fyx ху

A:

Q: Prove that the arc y = log secx from les (2+ 3

A:

Q: 8. The equation f(x)=x² – 5xr +1=0 can be written in many forms. Which form converges to the root of…

A:

Q: Use Newton’s method to find thezeros of ƒ(x) = 4x4 - 4x2 using the given starting values. x0 = -2…

A: Given:                   f(x)=4x4-4x2   Using the starting value :…

Q: The rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1…

A:

Q: At which points does f(x) = 2 sin x - cos 2x have an absolute maximum value and what is the maximum…

A:

Q: Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5].

A: There are more than one question. We will solve the first one. Given, f(x)=x-[ln(x)]x, we need to…

Q: Assuming Stirling's formula, show that 1%=Vx + 1)-f(x – 1)] - (x+ 2) – ƒ(x– 2)] upto third…

A:

Q: Find the solution to the equation 2x² - 4x + 1 = 0 using simpsons rule with an lower a and upper…

A: Given , f(x)=2x3-4x+1 we have to use Simpsons rule to find solution with lower limit is 1 and upper…

Q: Use Newton's method to estimate the one real solution of x° + 3x + 1 = 0. Start with x, = 0 and then…

A:

Q: Solve the following inequality for . Show all of your work. | arcsin(x)| > 6.

A:

Q: 1 lim, „(e* + x)÷ +00

A: Explained below

Q: If f(z) is analytic with constant modulus show that f(z) is constant u=3x²y+2x²-y³-2y²

A: To Proof :-  If f  z is analytic with constant modulus , show that f  z is constant.  Given :-  The…

Q: 5.If the tangent 1ine to the functlen fx)= axt-6x at X=- has the equatfon. y= 3x+2then 6=?

A: