 admin # Find the stationary points on the curve y = (3x – 1)(x - 2)^4.

2 months ago

## Solution 1 Guest #2391849
2 months ago

Step-by-step explanation:

by using y=uv derivative formula and stationary mean y' = 0

y' = 3(x–2)⁴ + 3(3x–1)(x–2)³ = 0

cancel 3 and factorize

(x–2+3x–1)(x–2)³ = 0

x = ¾ or x = 2

we got point and (2,0)

## 📚 Related Questions

Question
A store sells second-hand goods at 40% off the recommended retail price. For a lawn mower valued at $369: a What is the selling price? Solution 1 Answer:$221.4

Step-by-step explanation:

So there are two ways that you can solve this problem.

1) multiply $369 by 40% (or .4) to get 147.6 and then subtract 369-147.6=$221.4

2) multiply $369 by 60% (or .6) to get$221.4

Solution 2

The selling price is $221.40 Step-by-step explanation: So you first want to find what is 40% of the retail price ($369). So divide by 10 to get 10% ($36.90) and then multiply by 4 to get 40% ($147.60). Now that you have 40% subtract that by the retail price. $369 -$147.60= $221.40 Question Tyler tried to solve an equation step by step. 3(x + 4) = -18 3.2 + 12 = -18 Step 1 3x = -30 Step 2 x = -10 Step 3 Find Tyler's mistake. Solution 1 Answer: Step-by-step explanation: he llo : 3(x + 4) = -18 divid by 3 : x+4 = -6 x+4-4 = -6-4 x = -10 Question Madison and Allie have a goal to read 3,300 pages together by the end of 3rd quarter. Madison reads 50 page every day Allie reads 10 more pages every day than madison reads. Write and solve an equation to show how many days it will take them to read 3,300 pages Solution 1 Answer: It will take Madison and Allie 30 days to read 3,300 pages Step-by-step explanation: 1. Let's review the information given to us to answer the question correctly: Number of pages Madison reads every day = 50 Number of pages Allie reads every day = 60 (10 more pages every day than Madison reads) 2. Write and solve an equation to show how many days it will take them to read 3,300 pages. Number of days it will take Madison and Allie to read 3,300 pages = x Writing and solving the equation: 50x + 60x = 3,300 110x = 3,300 x = 3,300/110 x = 30 It will take Madison and Allie 30 days to read 3,300 pages Question What is the simplified form of the fifth root of x times the fifth root of x times the fifth root of x times the fifth root of x ? Solution 1 Answer: Step-by-step explanation: The fifth root of x = We have to multiply itself by 4 times. Therefore, = When we multiply = It can be read as " fifth root of x to the power 4". Question On the graph of f(x) = sin x and the interval (-2pi,0), for what value of x does f(x) achieve a minimum? Choose all answers that apply. Solution 1 Answer: x = -pi/2 Step-by-step explanation: hello : f(x)=sin x x⋲(-2pi,0) the derivate for f is : f'(x) = cosx f(x) achieve a minimum when : f'(x) =0 cosx = 0 genral solution is : x = pi/2 +kpi .. k in Z but : x⋲(-2pi,0) so : x = -pi/2.....(k = -1) Question What is the value of x in the equation below? 1+2eX+1 = 9 Solution 1 The value of x is 1.252762968495368 Solution: Given that, We have to find the value of x in given equation Given equation is: Simplify the left side of equation Move 2 from left side to right side of equation Therefore, Taking ln on both sides ln and e cancels each other each other Therefore, x = 1.252762968495368 Thus the value of x is found Solution 2 Answer: the answer is x=27 hope that helps :) Step-by-step explanation: Question P ^ q is true, and p is true. q is _____. true false​ Solution 1 Answer: It is True. Step-by-step explanation: If the statement p^q is true then it mean both have to be true in order for the statement to be true. Question How do you write 0.7 as a percentage Solution 1 Answer: 70% Step-by-step explanation: Question Jack earned$60.84 for working 12 hours during the week. how much did he earn per hour
Solution 1

Step-by-step explanation:

Solution 2
The answer to this question is 5.07 dollars
Question
Identifying the Number of Solutions Examine the system of equations -2x + 3y = 6 4x + y = 12 Answer the questions to determine the number of solutions to the system of equations. What is the slope of the first line? What is the slope of the second line? What is the y-intercept of the first line? What is the y-intercept of the second line? How many solutions does the system have?
Solution 1

Answer: 2/3, 2/3, 2, 2, Infinite

Explanation: I just finished the assignment

Solution 2

• 2/3
• -4
• 2
• 12
• 1

Step-by-step explanation:

For the line ax+by=c, solving for y gives ...

y = (-a/b)x +c/b

The slope in this slope-intercept form is the coefficient of x, -a/b. The y-intercept is c/b.

a) For the first line, the slope is ...

-a/b = -(-2)/3 = 2/3

__

b) For the second line, the slope is ...

-a/b = -4/1 = -4

__

c) The y-intercept of the first line is ...

c/b = 6/3 = 2

__

d) The y-intercept of the second line is ...

c/b = 12/1 = 12

__

e) The slopes of the lines are different, so there is one (1) solution.

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