Answer:
Z = 0.5
please follow up q q uagh
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Will not be using brainly very much so therefore, I will not need these points take them all :D wish the best of luck for everyone!! -WishesOnStars <3
Answer:
omg
Step-by-step explanation:
ANSWER FAST PLEASE!!!!!!!!
110o
112o
142o
144o
Answer:
142
Step-by-step explanation:
142 I believe on study island
A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?
Answer:
24.1cm
Step-by-step explanation:
Which of the following systems has an infinite number of solutions?
A. x+y=1 and x−y=1
B. x+y=1 and x+y=−1
C. x+y=1 and −x−y=−1
D. x+y=1 and x+y=2
Answer:
C. x+y = 1 and -x-y = -1
Step-by-step explanation:
Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.
1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)
2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.
Imagine pls helpppppppp!!!!!!
Answer:
169,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is exponential growth of form
y=ar^x where y is final amount, a=initial amount, r=common ratio or rate and x=time
y=130000(1.03^10)
y=174709
2. What is the perimeter of a rectangle
which is 12 metres long and 9
metres wide?
(a) 21m
(b) 42m
(c) 54m
(d) 84m
(e) 108m
Answer:
(b) 42m
Step-by-step explanation:
Perimeter of a rectangle ⇒ P=2(l+w)
Which means P=2·(12+9)
Which equals 42
The circle graph shows the result of a survey. In what way is this graph misleading? Explain.
Step-by-step explanation:
because the total sum of each percent is 90%
and it must be 100% as it is a full circle
Which of the following is equivalent to the complex number i^17
Answer:
Step-by-step explanation:
It’s a repeating pattern.
i² = -1
i³ =(i²)i = (-1)i = -i
i⁴ = i³i = -i² = 1
i⁵ = (i⁴)i = (1)i = i
i⁶ = i⁵i = i² = -1
...
i¹⁷ = i
The value for [tex]i^{17}[/tex] is i.
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
We have,
i = √-1
i² = -1
i³ = (i²)i = (-1)i = -i
i⁴ = i³i = -i² = 1
i⁵ = (i⁴)i = (1)i = i
i⁶ = i⁵i = i² = -1
We see that,
If the power is an even number we get 1 and -1.
If the power is an odd number we get i and -i.
Thus,
i¹⁷ = i
Learn more about imaginary numbers here:
https://brainly.com/question/6748860
#SPJ2
The slope of the line that passes through the point (2,4) and (3,8) is
Hi! Your answer is m = 4 or slope is 4.
Make sure to read an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:
[tex]\large\boxed{m=\frac{y_2-y_1}{x_2-x_1}}[/tex]
The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".
From (2,4) and (3,8). We substitute the given coordinate points in the formula.
[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]
Hence, the slope is 4.
Additional Note
m-term comes from y = mx+b where m is defined as slope in slope-intercept form. Therefore, m = slope.Hope this helps!
Carl had been saving his money for weeks to buy the shoes that he had seen in the store window. The price tag said $90.00. Carl had saved $75.00.
would Carl have enough money if the shoes went on sale for 20% off?
yes or no?!
Answer:
Yes
Step-by-step explanation:
20% of 90= 72
then you want to subtract the amount of money you have minus how much it is 75 - 72 = 3
since the answer is a positive number that means yes.
PLEASE HELP!!! WILL MARK BRAINLIEST
What is the perimeter of quadrilateral of MNPQ?
Answer:
240
Step-by-step explanation:
m + n + p+ q = perimeter
60 + 60 + 60 + 60 = 240
I'm pretty sure that's how you solve it, I'm so sorry if it's wrong
The perimeter of the given quadrilateral will be 21 units.
What is a quadrilateral?A quadrilateral is a shape made up of the four sides having the sum of the angles 360 degrees.
The quadrilateral MNPQ has four sides 6,6,6 and 3.
The perimeter is calculated as the sum of the all the sides:-
Perimeter = 6 + 6 + 6 + 3 = 21 units
Therefore the perimeter of the given quadrilateral will be 21 units.
To know more about quadrilaterals follow
https://brainly.com/question/16691874
#SPJ2
A. 78
B. 87.5
C. 100
please answer will give brainliest!!!!!!!
Answer: 100
Mode is simply the number which appears most often.
100 is the only number that appears more than once
How many pairs can you make when picking a month of the year and flipping a coin?
12
14
18
24
Answer:
24 I guess
Step-by-step explanation:
There are 2 sides in a coin so 12 x 2 = 24
Manuel has brought 24 pounds of dog food. He feeds his dog 3/4 pounds for each meal. For how many meals will the food last ?
Answer:
32
Step-by-step explanation:
24/(3/4)
Answer:
32 meals
Step-by-step explanation:
24 / (3/4)
Multiply by reciprocal:
24 x (4/3) = 32
Pleaseeeeee i will mark you brilll
Answer:
58
Step-by-step explanation:
4 × 5 to the power of 2 + 3 × 5 + 3
Answer:
Option B
118
Step-by-step explanation:
[tex]4{x}^{2} + 3x + 3[/tex]
By putting the value of x = 5
[tex] = 4 {(5)}^{2} + 3 \times 5 + 3[/tex]
= 4 × 25 + 15 + 3
= 100 + 18
= 118 (Ans)
A car can travel 15 miles on 8 gallons of gas. How far can the car travel on 22 g allons of gas?
Answer:41.25
Step-by-step explanation:
22/8 equals 2.75. Multiply the distance the car can travel by 2.75 to find how many miles it can run on with 22 gallons of gas. The answer will be 41.25 mi. Hope this helps :)
Can some one help me plss sssssssss
Mrs. Java invests $4000 at 10% annual return and $6000 al 12% annual return. How much should she invest at 15% return so that her total annual retum is 13% of the total amount she has invested?
Answer:
Step-by-step explanation:
Interpreting as: 6000
Input:
6000
Number line:
Number line
Number name:
six thousand
Roman numerals:
\!\(\("V"\)\&_\)M
Binary form:
1011101110000_2
Prime factorization:
2^4×3×5^3
Residues modulo small integers:
m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6
Properties:
6000 is an even number.
6000 is a number that cannot be written as a sum of 3 squares.
6000 has the representation 6000 = 3^5 5^2 - 75.
6000 divides 49^10 - 1.
Character code 6000:
| Tagbanwa letter sa
Unicode: U+1770 (decimal: 6000)
Mathematica: \:1770
(Tagbanwa)
15 is ___% of 60 HELP YALL
Answer:
25
Step-by-step explanation:
Answer:25%
Step-by-step explanation:
Sam purchased 2 pairs of sneakers for $225 in
total. His father receives a military discount of
23%. How much were the price of the sneakers
after the discount?
Once the discount was deducted they added 7%
in sales tax. What was the final cost for the
sneakers?
help pleaseeee giving 100 points
Answer:
173.25
173.25+7=
$180.25
Step-by-step explanation:
Answer:
$185.38 i beileve. I took the discount out then added the tax
Can anyone help to answer my previous questions?
Step-by-step explanation:
Umm I can try. c:
I'll see....
plz help find the volume of the cylinder plz
Answer:
V = 12π in³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Radius r = 2 in
Height h = 3 in
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(2 in)²(3 in)[Volume] Evaluate exponents: V = π(4 in²)(3 in)[Volume] Multiply: V = π(12 in³)[Volume] Multiply: V = 12π in³In the coordinate plane, what is the distance between (-2, 5) and (8, 5) ?
A certain type of chocolate bar is sold as follows.
Single chocolate bar: 82p, or buy one get one half price
Packs of 5: £3, offer: 2 packs for £5.75
Packs of 10: £6 each
What's the cheapest way of buying exactly 38 chocolate bars without any extra?
Find the amount of each type of pack or single bar you need and the total cost of buying 38 packs.
Answer:
Step-by-step explanation:
You would never buy a 10-pack, because two 5-packs cost less.
To buy 3 bars you need a single bar and a pair of single bars for £0.82 + £0.82+ £0.41 = £2.05
To buy 30 bars you need 3 pairs of 5-bar packs = 3×£5.75 = £17.25
To buy the remaining 5 bars you need one 5-bar pack = £3
cost = £2.05 + £17.25 + £3 = £22.30
find the GCF 40,50,60
Answer:
10
Step-by-step explanation:
can someone help me with this simple 8th grade worksheet
What is the value of (f-g)(7)?
f(x)=2+x;g(x)=x^2+5
(f-g)(7)=[1]
Answer:
Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.
Your first step will be to set up the problem:
f(x) - g(x)
Next you will substitute in your values:
(2x + 1) - (x2 - 7)
The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:
2x + 1 - x2 + 7
Then combine your like terms:
2x - x2 + 8
Lastly put your expression in standard form (highest exponent to lowest)
-x2 + 2x + 8
Hope this helped!
Step-by-step explanation:
1 + 1 + 23 + 77 +109 + 4568+ 32?
Answer:
4811?
Step-by-step explanation:
sorry if incorrect
A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88
Answer:
135.87
Step-by-step explanation:
7% of 126.99 is 8.8893
add 126.99 to 8.8893
you get ~135.87
Answer:
8.89
Step-by-step explanation:
Take the cost of the item times the tax rate to find the amount of tax
126.99 * 7%
Change to decimal form
126.99 * .07
8.8893
Round to the nearest cent
8.89