-> (6) 금 AxB) at t-1 at t=1 (1) A X 4P

Q: Show that yrcos(x²) is asoktion to: xy"-y'+4x3y =0, and then use reduction of order to fond a second…

A: Given differential equation is ,                                   xy" - y' + 4x3y = 0 (.)  If  y =…

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

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: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)? Enter your answer as…

A:

Q: 7. Find the absolute maximum and absolute minimum values of f(z) = 2x – 3r2/3 on the interval…

A:

Q: 2 - ) at x = 4 1+ x)

A:

Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

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: -2 Find the interval(s) where f(x) =- 64-x2 is continuous.

A:

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

A:

Q: Use the Trapezoidal Rule with n-6 to approximate. f(x)=sim2x.a=0,b=π

A:

Q: Find the absolute maximum obtained by s(t)=2t3 −3t2 −36t+ 5 on the interval [0,4].

A: Given function

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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: What is the minimum number of times you would expect f(x) 6 in the interval (0, 40? %3D

A: from the given table we cansay (As f(x) in continuoun everywhere)∃ x1∈ (0,10) such that,…

Q: Example 2: Using the False Position method, find an approximated root of the function: f(x) = x² –…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: Find the maximum of the quantity xy2, where r and y are nonnegative re numbers, and x+y = 9. Enter…

A: x+y=9 or y=9-x and x and y are non-negative real numbers

Q: + iv is analyt: and satisfies the a real constant

A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

Q: 7. Consider the function *+1 if r< 2 f(x) = 3-1 if z 2 2 (a) Show that ƒ has no fixed point.

A:

Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

A:

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 2017 F Q2 Find the set of values of k for which the line y = 3x + k and the curve y= 2x- 3x + 4 do…

A:

Q: X = (1-_-_-_-)* 2 o then f(x) tend:

A:

Q: What is the difference between the maximum and minimum of the quantity (x2y2)/25 where x and y are…

A:

Q: 2-→ Find-the-residues-of-the-function-at-its-poles F1:(z) = (2-z-+3):/(z²-4)¶

A: We need to find the residues of the function F1(z)=(2x+3)/(z2-4) at its poles.

Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: How do you evaluate the limit as t approaches 0 (1/t*the square root of 1 + t  - 1/t) with the…

A: Obtain the value of limit as follows.

Q: #30) tind the critical mumbers of the function. f(x)=x² +6x² - 15.

A: Derivative the function and then equate to 0 find the values of x

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

A:

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

A:

Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

Q: Find the value k that makes the function continuous. kx + 14, х > 2 f (x) = 11x + 2, x < 2

A:

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: 1) Find the absolute extremum values of f(x) = x² – 3x + 12 over the interval [1,3]. [2 marks] %3D -

A: Given: fx=x2-3x+12 over the interval 1,3

Q: What is the maximum point of the function f (x) = x² - x on the o terval [-2,2]?

A:

Q: The absolute max for the function f(x)=x2 – 2x+1 on the interval [-2, 3] occurs at : Select one: а.…

A: Given function is  f(x)=x^2-2x+1

Q: Suppose that f(æ, y) = e-2x² – 3y² + y Then the maximum is

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: Find a root of an equation f (x) = 4.15x3-2x+5.15 using Incremental search method at a step- size…

A: Given: f(x)=4.15x3-2x+5.15, a=-2 and b=-1 To find: Root of a given equation by Incremental search…

Q: Find the absolute max/min values of f(x) = 3x2 – 12r +5 on the closed interval [0, 3].

A: This question is based on maxima and minima in a closed interval.

Q: 3. 4. S 2t (1²+2) ³ 514 √15 +2 - dt =dt

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

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: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

A:

Q: Find a and b so that the function = { ax + b, 8x – 8x? + 4, ах + b, х -2 is both continuous and…

A: Continuity at x=-28-23-8-22+4=a-2+b-64-32+4=-2a+b-92=-2a+b→1

Q: 9. If f(x) = ], ( 22 - 5t-3 ]dt, on what interval(s) 0, is f increasing, decreasing

A:

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: x+2 for 4. Graph. f(x) ={-V4 – x² for -2 sxs2 (-x(x-3) for x 2 f(x)t

A: Consider the function  f(x)=12x+2                 for x&lt;2−4−x2            for−2≤x≤2−xx−3…

Q: There is an infinite discontinuity at x = 0 and f(0)=-2

A: