14)- Consider the following formula f"(x,) = a-4fo+3f-1 _ 2hfm(C) 6h2 3 Find the optimal h.

Q: The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells…

A:

Q: Suppose (1,1) is a critical point of a function f with continuous second derivatives and fz = 44,…

A:

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

Q: = x2 - 4x + 1 with domain [0, 3] f has ---Select--- v at (x, y) = f has ---Select--- v at (x, y) = f…

A:

Q: 7. Find all the critical points of f(x) = (x² – 4x – 4) e² %3D and classify them.

A:

Q: The function f(x) = 2a – 392? + 240x – 4 has two critical numbers. The smaller one is x = and the…

A:

Q: 1. A company manufactures and sells a televisions per month. If the cost and the revenue functions…

A:

Q: Suppose a company wants to introduce a new machine that will produce a marginal annual savings in…

A:

Q: 2. Consider the funetion h(x)= 8+(x+3) x"³ . a. Find all critical numbers for the function h(x). 2/3

A: Given

Q: 11. Use the Mean Value theorem to show that f(x) = 2x sinh (æ – 1) + 2" – x has a critical number…

A:

Q: # 13) Find two positive numbers x and y for which 2x +y = 30 such that xy² is maximized.

A:

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* -x has a critical number…

A:

Q: 1. Find the roots of the given equation where f(x) = 0 with the stopping criterion of 0.001. f(x) =…

A:

Q: 7 Determine a value for r so that h(x) x + rx² – 7x has an inflection point at x = 5. 2 -- |

A:

Q: Q2// Find the optimal point from th nathematical model (by Big-M methods) xZ-150 x+110x)+280 x; x3…

A:

Q: You will calculate L5 and U5 for the quadratic function y 2² + z + 14 between z = 0 and z = 2. Enter…

A: To solve the following problem

Q: 2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

A:

Q: 27The platis that passes through the e Point C672) and contains the lihie メー4-2t)X= 345t) Zと+4t 4. こ

A: We have to find the equation of the plane which passes through the given point and contains the…

Q: 1 8 (b) Determine the exact locations of the critical number of the function r(x) 3 х — 4

A: As per our guidelines we are supposed to answer only one question.* *Kindly repost other question as…

Q: 7  please answer, type the solution if you can please. or write clearly

A:

Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 and the line tangent to y=gx at x=5 is y=6x-27. Consider,…

Q: 3) State the critical points of the function g(x) = (x – 9) 23

A: A critical point occurs when the derivative is 0 or undefined.

Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: 6. Locate the absolute extrema of the function H(x) = - x* Inx on 1 3 2' 2 Give exact solutions.

A: We have to find out absolute extrema

Q: Solve for Elimination of Arbitrary constant given problem is x^2y=1+cx

A:

Q: 8. If f(x) = 4 sin x + 6 and g(x) = 3x + 5, what is the maximum value of f(g(x))?

A: Solution is given below

Q: s of 0 would be a minimum value on the graph of y = sin 0 over the interval [-27,0)?

A:

Q: Find the positive critical point of the function f(x) 2+3

A:

Q: find the value of a so that the function f(x)=xeax has a critical point at x=6

A:

Q: 9. The average revenue function of x units of product is R(x)=-mx+n,where m and n are constants. a)…

A: Given that: Average revenue function, R¯(x)=-mx+n

Q: -5-0 using Iterative fixed-point method by 2. Find one root of f(x) x+ choosing initial value as -2…

A: Given that fx=x3+4x2-5=0 To use iterative fixed point method to find one of the root of the above…

Q: 5 Find the point X to minimize the function f(x1, x2) =1+¤1 +2x2+ from the strating point X, = using…

A: We are given the following optimization problem : f(x1 , x2) = 1 + x1 + 2x2 + 5/x1 + 10/x2 And we…

Q: 12 11. Find the critical points of f(x) 4x? ). Then use the Second Derivative Test to determine if…

A: Here, we need to find the critical points of f(x)=x127x3-4x2. Now, f'(x)=6x2x-10xx and…

Q: ,2 Let f(x) = x – 12x -27x + 1. Find the critical points of f(x).

A: Find the derivative as follows: f'x=ddxx3-12x2-27x+1        =3x2-24x-27

Q: 4 to Use the Trapezoidal Rule with n = 1 approximate J-1 V1-x³

A:

Q: 29, f(x) 3x² + x- 2 %3D

A: We have to find the critical points.

Q: Find the critical numbers of the function

A:

Q: Find the critical numbers and the open intervals on 31 which the function y x-3x+2 is increasing or…

A:

Q: (i) Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x -n at two distinct points…

A: To solve the problems

Q: Find the critical points of the function x + 1 f(x) = (5 – x)2 -

A:

Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)

A: Given that        Φ =xyz-2y2z+x2z2  Here we have to find div grad Φ at points (2,4,1).

Q: Find the roots of the given equation where f(x) = 0 with the stopping criterion of 0.001. f(x) = (x…

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

Q: 1.SUpPose that fCx) = 3x(x-1). Find the critical numbers of fiX). Use them to detemine on which in…

A: We need to find critical point and interval of increase and decrease.

Q: 2. Integrate the function (x+2/x)ax using multiple-application trapezoidal rule with n= 3

A: Trapezoidal Rule: ∫abf(x) dx≈∆x2(f(x0)+2f(x1)+ ... +2f(xn-1)+2f(xn))where ∆x=b-an

Q: 1. Explain how would you determine the maximum value of y= 1 3-cos x

A:

Q: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

Q: 2.3 From the smallest to the largest, the three critical values of f(x) = x x-7 are

A:

Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.