Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t2 + 35, y = ln(t2 + 35), z = t; (6, ln(36), 1)

Answer:

Attached below is the detailed solution

answer : x(t), y(t), z(t) = ( 6 + t/6,  In (36) + t/18, 1 + t )

Step-by-step explanation:

x = [tex]\sqrt{t^2 + 35 }[/tex]  , y = In(t^2 + 35 ),  Z = t;(6, ln(36), 1)

Determine the parametric equations for the tangent line to the curve with the above given parametric equations

attached below is the detailed solution

c) If the speed of the car is tripled, what will happen to the time taken?

72x2 + 39x + 207 = 0​

Martin is an after-school math tutor. He noticed that 6 people still needed help and only Two-fifths of the tutoring session time was left. Since each person is to be given an equal amount of time, Martin wrote the expression below to find the fraction of the tutoring session each person who still needed help would be allotted.

Two-fifths divided by 6

Which expression is equivalent to Martin’s expression?
StartFraction 6 Over 15 EndFraction divided by 6
StartFraction 6 Over 5 EndFraction divided by 2
Five-halves times 6
Two-fifths times 6

Solve for this equation: 500:10||x:50

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In a group of 20 students, there are 7 boys. What is the ratio of girls to boys?

1. Marsha used 2 cups of sugar to make 3 dozen
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Use the given x and y values to write a direct variation
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x = 5, y = 25

On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?

Is there a general rule to convert a function to a power series? Examples would be greatly appreciated:)

A sonographer is trying to determine the size of a gallstone. If
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1. la señora Treviño tiene el doble de edad que su
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¿cual es su edad actual?

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Please show the steps

A bookcase has 5 of these bookshelves that are 42 inches long. How many FEET of shelf space is there? Explain your reasoning. (If the answer is given in inches you can only get a 4 out of 6 maximum. How many FEET of shelf space is the answer you explain.) *

You can buy 10 APPLES for $12.00. How much will it cost to buy 6 APPLES?

Which ratio is an equivalent ratio to the tape diagram? Select all that apply.

12 to 15
3 to 4
8 to 10
4 to 10

3−y÷ 3 5​; y= 1 4
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The regular price of running shoes is $89.00. They are on sale for 20% off.


a.) What is the amount of discount (amount you are subtracting from the original)?


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Please explain the question!

1. Francisco invested $5,000 into an account that earns 3% compounded quarterly. How many
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2. What will be the value of his account in 5 years if he does not make any additional deposits or
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3. After how many years will Francisco’s account reach $10,000

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What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.

B.
Subtract 4x to both sides of the equation.

C.
Combined the variable terms on the left side of the equation.

D.
Combine the constant terms on the right side of the equation.

Muller Farms uses at least 800 lb of special feed daily. The special feed is a mixture of corn and soybean meal with the following compositions:
lb per lb of feedstuff
Feedstuff Protein Fiber Cost ($/lb)
Corn .09 .02 .30
Soybean meal .60 .06 .90
The dietary requirements of the special feed are at least 30% protein and at most 5% fiber. The goal is to determine the daily minimum-cost feed mix.
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(c) Use Excel Solver to compute the solution to this diet problem.
(d) Include in your report a screenshot of the Excel sheet you used to and a solution.

Alone, Brenda can dig a ditch in 5 hours. If Jack helps her, the two of them can dig
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The figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown. A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 8 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B?
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Please help and don’t answer with random letters I actually need the answer
Multiply x ^ (3/4) * x ^ (1/5)
1) x ^ (4/9)
2) x ^ (3/20)
3) x ^ (11/20)
4) x ^ (19/20)

Frank wants to go bowling. The bowling alley charges $4 per game and a one-time charger of $3 for bowling shoes. Look at the information below:



y = 4x + 3

y is the total cost of bowling

x is the number of games bowled



Based on the information, which statement is true?

The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?