Question: Please attach the solution to this differentiation questions. Thank you in advance 1. Find the set of values of the constant k for which the

Please attach the solution to this differentiation questions. Thank you in advance

1. Find the set of values of the constant k for which the curve with equation y = x + 4x2 + kx + 1 has two stationary points. 2. (a) Show that if the line with equation y = kx is a tangent to the circle with equation (x - 6)2 + (y + 2)2 = 4 then 4/2 + 3k = 0. (b) Hence find the set of values of k for which the line y = kx intersects the circle twice. 3. Show that the function f(x) = 16 -42x - 12x2 - 2x3 is always decreasing

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The questions are in the image below. There are EIGHT (8) questions including the bonus question. please attach only the work and info used. Thank you in advance. Rational Functions Assignment Full...

Please show step by step for all questions. Thank you CHAPTER 14 | Correlation and Regression set of n = 15 pairs of scores (X and Y values) pro- a. Find the regression equation for predicting Y from...

Hi, please provide detailed solution for these two questions. Thank you. RSM 333 Spring 2017 Assignment #2 Due Monday, February 6th @ 4pm in Commerce Office Problem #1: (20 marks) Project Analysis /...

Can you please answer and show work for the following physics questions? Thank you in advance. 1. An astronaut whose mass is 80 kilograms is standing in a rocket. The rocket is at a point in free...

Introduction PP For centuries, First Peoples have enjoyed fishing as a food source and for trade, But in recent decades, excessive commercialization, overfishing and mismanagement of fish stocks have...

Finish every page 1.1: Problem Set Overview In this assignment you will be completing problems based on the parent functions we have learned in this topic. The purpose of this assignment is to...

Q 2 . Create a NEW file with the name "part 2 " . Copy the content of the source file in Q 1 to this file. Modify the program developed for Q 1 to perform the following tasks: - Rewrite the function...

Please provide all 4 questions, answers with the following requirements and company must based in Canada or USA. Thank you in advance Directions Considering evolving stakeholder values, corporate...

Just need help with this lab to make sure i am doing it correctly specifically graphing for 1.4 1.7 1.8 and questions for 1.9 thank you in advance 1. Building an RC Circuit 1.1: Open the Capstone...

Below is a economics exam question. Please can you answer it. I have also attached solutions to a similar question which should help you to answer this. Consider an economy where rational...

Parking has always been a problem at Switzer University. This year the University began a widely publicized TROLL system to transport students, faculty, and staff from outlying parking areas to main...

Shawn lives near the border of Illinois and Missouri. One weekend he decides to play $1 in both state lotteries in hopes of hitting two jackpots. The probability of winning the Missouri Lotto is...

Hello Hicks Cable Company has a defined beneff pension plan. Three alternative possibilies for pension - related data at January 1 , 2 0 2 4 , are shown below: \ table [ [ , ( 5 in thousanfs ) ] , [...

TrueAchievements reports the following for the percentage of players that have reached specific achievements in Bloodstained: Ritual of the Night. Assume sections appear in order from top to bottom...