The value of g'(t) is ([tex]e^t[/tex], -sin t, cos(t)).
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x, y, z) = xz + yz + xy,
g(t) = ([tex]e^t[/tex], cos(t), sin(t))
Now, differentiating g(t) w.r.t t
g'(t) = ([tex]e^t[/tex], -sin t, cos(t))
Hence, the g'(t) = ([tex]e^t[/tex], -sin t, cos(t)).
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Plz helpp I’m bad at math
Answer:
40
Step-by-step explanation:
because a straight line is 180 degrees so 140 plus 40 equals 180
Answer:
40
Step-by-step explanation:
straight line is 180 degrees
180=140+x
140+40=180
PLEASE HELP!!
Also the last option is
4 units left and 3 units down
Answer:
B
Step-by-step explanation:
Find a unit vector in the direction of the given vector.
v = 9i − 6j
Given:
The given vector is:
[tex]v=9i-6j[/tex]
To find:
The unit vector in the direction of the given vector.
Solution:
If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is
[tex]\hat v=\dfrac{v}{|v|}[/tex]
Where, [tex]|v|=\sqrt{a^2+b^2[/tex]
We have,
[tex]v=9i-6j[/tex]
Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,
[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]
[tex]|v|=\sqrt{81+36}[/tex]
[tex]|v|=\sqrt{117}[/tex]
[tex]|v|=3\sqrt{13}[/tex]
Now, the unit vector in the direction of the given vector is:
[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]
Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].
Yalll listen i was at a party with friends in the ghetto and the ice crean truck came and they had the hot cheetos with cheese and chill poured on it ....it was bussin bussin
Answer:
wowo cool
Step-by-step explanation:
Answer:
sounds cheeesyyy
Step-by-step explanation:
25 points. Need help
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
53+2444= ??????? HELP I D K THE ANSWER
Answer:
2497
Step-by-step explanation:
Answer:
2497
Step-by-step explanation:
53 + 2444
= 0053 + 2444
= 2497
Which expression represents the perimeter of the figure below? *
2x + 4 y
w + 2x + 4y
w + x + y
2w + 2x + 4y
Step-by-step explanation:
Perimeter of figure =
[tex]w + x + x + y + y + y + y \\ = 1 \times w + 2 \times x + 4 \times y \\ = w + 2x + 4y[/tex]
Which of the following statements are true?
A) 3 lbs of sugar is sugar is required to make 60 muffins.
B) 120 lbs of sugar is required to make 6 muffins.
C) 0 lbs of sugars required to make 0 muffins.
D) The maximum number of muffins that can be made is 220
Answer:
C
Step-by-step explanation:
Because 0 lbs of sugar is required to make 0 muffins
I hope this is right
Please answer both of you can
Simplify 15.6 divided by negative 3..
Answer:
-5.2
Step-by-step explanation:
15.6 ÷ (-3) = -5.2
A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building and 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth.
Answer:
55.64
Step-by-step explanation:
The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses
We will use the Pythagorean theorem:
x^2 = 106^2 - 92^2
= 11,236 - 8,464
= 2,772
= √2,772
x = 52.64978632
The height of the building:
h = x + 3
= 52.64978632 + 3
= 55.64978632
or
≈ 55.64 feet
Step-by-step explanation:
the answer to the nearest is 55.64
G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4
Answer: The value of G = 4.5
Step-by-step explanation:
As per given,
[tex]G\propto \dfrac{j^2}{m}[/tex]
When we replace proportional sign with an equal to sign, we get
[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant
If G=0.05 when j = 0.4 and m=1.6, then
[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]
Now,
[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]
hence, when j =6 and m=4, the value of G = 4.5
Is 8 a solution to the equation 3(x-6)=3x/4?
Explain your answer
Help plsssssss:)))))))
Answer:
x = -14
Steps:
Rewrite the equation as -8 = 6+x
Then move all terms not containing x to the right side of the equation.
x = -8-6
Afterwords subtrack.
x = -14.
hope this helps :)
PLEASE HELP ME ASAP AND PLEASE DONT GUESS!!
Answer:
the 3rd one is the answer .
Step-by-step explanation:
Hope it was helpful .
SOMEONE PLEASE HELP!!!!! I’m not quite sure
Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest
Step-by-step explanation:
I don’t even understand the question please help
I need help on 13 and 14, you will get 25 points with brainlyist!!!
Answer:
14 is C and 13 is also C
Step-by-step explanation:
so 14 and 13 a both C
mark brainliest or give 1 heart and 5 stars or maybe both
This is for now I need help pls !!!!!!!
pls pleaase pls help marking brainlisr
Answer:
1
Step-by-step explanation:
I'm so stuck I was taught this 5 months ago I don't remember this lol.
Answer:
C. 24 12/20
Step-by-step explanation:
4 3/4 × 6 4/5
24 3/4 × 4/5
24 12/20
PLZS HELP NEED BY TODAY!!
Answer:
20°
Step-by-step explanation:
ok so if 40 degrees is on one side its also on the side parallel from it
a straight line = 180 degrees
so 180 - 40 = 140
so 7x =140
we now divide 7 on both sides and get x=20 because the 7 cancels out
180 -40 =140
7x = 140
7x/7 =140/7
x=20
Hope I helped?
Pls help ASAP I DONT have time
Answer:
B: y = 3x + 6
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
x=3
Step-by-step explanation:
Hope this help and plz give me brainlist.
Answer: x=3
Step-by-step explanation: cuz Im know how to solve for x. Hope its good!
I need this done, please
The population of bacteria doubles every 6 hours. By how much will it grow in three days. Write the equation
Answer:
Step-by-step explanation:
let x be the population
so we have ,
2x= 6h
?= 3 days or 3×24h
by cross multiplication we have
2x× 72h= 6h×?
?= 2x×72/6 = 24x
So, in three days the bacteria will b 24 times current population.
3 drinks and 2 hot dog costs 7.70 and 2 drinks and one hot dog is 4.55 system of equation on drink and one hot dog to the nearest cents
Answer:
Drink = 1.4
Hot dog = 1.75
x + y = 3.15
Step-by-step explanation:
Let drink = x ; hot dog = y
3x + 2y = 7.70 - - (1)
2x + y = 4.55 - - - (2)
From (2)
y = 4.55 - 2x - - - (3)
Put y = 4.55 - 2x in (1)
3x + 2(4.55 - 2x) = 7.70
3x + 9.1 - 4x = 7.70
-x = 7.7 - 9.1
-x = - 1.4
x = 1.4
Put x = 1.4 in (3)
y = 4.55 - 2(1.4)
y = 4.55 - 2.8
y = 1.75
Drink = 1.4
Hot dog = 1.75
x + y = 3.15
Kara's playlist has three songs: • "Each Day" (3 minutes) • "Best Friends" (3 minutes) • "This Weekend" (2 minutes) How many times can Kara listen to her entire playlist during a 35-minute car ride?
Answer:
4 times
Step-by-step explanation:
3+3+2=8
8*4=32
She can listen to part of her playlist in those extra three minutes, but the question asks for the ENTIRE PLAYLIST
Find the derivative of
y= 1/(3x^3)
Answer:
[tex]\displaystyle y' = \frac{-1}{x^4}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{1}{3x^3}[/tex]
Step 2: Differentiate
Rewrite: [tex]\displaystyle y = \frac{x^{-3}}{3}[/tex]Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-3}][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}(-3x^{-4})[/tex]Simplify: [tex]\displaystyle y' = \frac{-1}{x^4}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
. Find the indicated term of the arithmetic sequence.
Find a_23 in the sequence -18,-34,-50,-66,…
Answer:
Hello . ♡
The answer to your question is : −370 .
Step-by-step explanation:
Hope this helps u ;)