Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
FactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Trig Differentiation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
sin(x) + cos(y) + sec(xy) = 251
Step 2: Differentiate
[Implicit Differentiation] Trig Differentiation [Chain Rule]: [tex]\displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0[/tex] [Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)[/tex][Distributive Property] Distribute sec(xy)tan(xy): [tex]\displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)[/tex][Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)[/tex]Factor out [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)[/tex][Division Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
helppppppppppp no links or you'll get reported
Answer:
1.95
Step-by-step explanation:
area = (1/2 ×1 ×1 )×3 = 1.5 ( for sides)
area = ( 1/2 ×1 ×0.9) = 0.45 for base
area =1.5+0.45 = 1.95
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?
Answer:
G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)
Step-by-step explanation:
Exponetial funtions are when you have a power of, for example g(x)=1+6x^2
It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace
Tom has some marbles in two bags. In one bag he has 3 yellow, 2 green and 1 red marble. In the other bag he has 3 yellow, 3 green and 3 red marbles. If Tom takes one marble out of each bag, how probable is it that neither one is yellow?
Answer:
1 /3
Step-by-step explanation:
Bag 1 :
Yellow = 3 ; green = 2 ; red = 1
Total = 6
P(not yellow) = (2 +1) / 6 = 3/6 = 1/2
Bag 2 :
Yellow = 3 ; green = 3 ; red = 3
Total = 9
P(not yellow) = (2 +3) / 9 = 6/9 = 2/3
P(neither yellow from the two bags) = 1/2 * 2/3 = 2 /6 = 1/3
Help me please thank you for
Answer:
I don't know
Step-by-step explanation:
Sorry
Answer:
Just at a glance I'm pretty sure it would be B.
PLEASE ANSWER URGENT
Answer:
D
Step-by-step explanation:
HELLLLPPPPPPP PLEASEEEEEE BEGGGGI G SOMEONE PLEASEEEEEEEEE
Answer:113
Step-by-step explanation:
which list of numbers is ordered from least to greatest help pls
Answer: B
Step-by-step explanation:
If you change them all to decimals.
4.8% = .048
1/20 = .05
4.1 x [tex]10^{-1}[/tex] = .41
[tex]\sqrt{4}[/tex] = 2
So, that would be least to greatest.
The Martz family pays a rate of 37.5 mills the property tax versus value of the home is 68,000 what is the property tax
If the property tax versus value of the home is 68,000 the property tax is $2,550.
Property taxUsing this formula
Property tax=Mills rate× Property value /1000
Where:
Mills rate=37.5
Property value=$68,000
Let plug in the formula
Property tax=37.5×68,000/1000
Property tax=$2,550,000/1000
Property tax=$2,550
Or
Convert the mills rates to dollar rate amounts by dividing the mill rate by 1,000 and then multiply it by the property value.
Property tax=37.5/1000×$68,000
Property tax=$2,550
Inconclusion the property tax is $2,550.
Learn more about property tax here:https://brainly.com/question/25844719
what photo should i chose???
Answer:
Top right figure (the trapezoid)
Step-by-step explanation:
Line symmetry means that if you draw a line that cuts the figure, and reflect the figure across that line, the figure does not change.
Now, if we use vertical lines, a figure will have a line symmetry if it is exactly the same in the left as it is in the right.
And we can see that none of the figures meets this condition.
If instead, we use horizontal lines, then the figure must be equal above and below.
Particularly the "L" and the "t" can be discarded.
Also, the bottom right image can be discarded, as the bottom is clearly different than the top.
But the top right figure (the trapezoid) is exactly the same in the bottom as in the top, so if we reflect that image across a horizontal line that cuts it in two halves, the figure will not change, so that is the figure that has line symmetry,
A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?
STEP BY STEP PLS I WILL MARK BRAINLIEST PYTHAGORUS THEOREM
Find the volume of the cone using 3.14 for pi. Please help asap i need it!
Answer:
29.32
Step-by-step explanation:
We are given the diameter on the bottom, so we can find the radius. Since a radius is half the diameter, the radius is 2mi. The formula for the volume of a cone is:
1/3 * pi * r^2 * h
We can substitute:
1/3 * pi * 2^2 * 7
29.32153
This rounds to about 29.32
Answer:
V = 117.23
Step-by-step explanation:
V = (1/3) pi x r^2 x h
Input.
V = (1/3) 3.14 x 4^2 x 7
V = (1/3) 3.14 x 16 x 7
V = (1/3) 3.14 x 112
V = (1/3) 351.68
V = 117.23
Note: Please disregard my answer as I used the incorrect radius. I needed to find the correct radius instead of using the diameter as it was.
Liz records her pet hamster's weight once every month for one year. How many observations does she make?
Answer: 12 observations
Step-by-step explanation:
1 year = 12 months
Number of observations = 1 per month
Therefore number of observations
for a year = 1 × 12
= 12 observations.
Is 5.585786438 rational or irrational
From what I have learnt:
The number has an ending so it is rational
Irrational numbers don't end, e.g. π (3.1415926...)
NEED HELP ASAP!!!!!The perimeter of a ractangle is 176 ft. If the ratio of the length to the width is 9 : 2, what is the length of each side?
(P = 2l + 2w)
P=2l+2w
l+w equals half of the perimeter
220/2=110
the ratio of the length to the width is 7:3
7x+3x=110
10x=110
x=11
7*11=77 for the length
3*11=33 for the width
A=l*w
A=77*33
A=2541 square inches for the area
maybe you are getting the formula mixed up ?!?!
3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.
Answer:
32
Step-by-step explanation:
Since there is 112 more red marbles than green marbles,
7 units= 112
1 unit= 112÷7= 16
2 units(no. of blue marbles)=16×2=32
What is the length of the hypotenuse?
Answer:
h=15feet.
Step-by-step explanation:
using Pythagoras theorem
h²=p²+b²
h²=12²+9²h²=144+81h=√225h=15feet.hope it helps.
stay safe healthy and happy.[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢ ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢ \sqrt{225 \: {ft}^{2} } = c \\ ⇢ \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
3x −3 y −4 ⋅ 3x 3 y 3
A recipe that serves 4 people uses 3 potatoes. How many potatoes are needed to serve 20 people?
Answer:
14
Step-by-step explanation:
You need to count by 4´s. So:
4, 8, 12, 16, 20.
3, 6, 9, 12, 14.
I lined them up for you to understand it easier
Two stores carry a similar stereo for the same original price and $573. Store A offers a 25% discount and the Store B sells the stereo for $446.94. Which store gives the bigger percent discount
Answer:
Razz
May 30, 2O21
100 - 16 = 84
.84*573 = 481.32
which is more than 458.40
x^2+21x+1=5x+4
solve by completing the square show all work
(will give brainliest)
Answer:
x = 0.1854 and x = -16.1854
Step-by-step explanation:
refer to photo
What is the measure of arc GH?
Answer:
62 degrees
Step-by-step explanation:
The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.
Said another way, the intercepted arc is twice the measure of the inscribed angle.
2 x 31 = 62
ayuda resta de fracciones
(+4/7) - (3/7)
Answer:
Step-by-step explanation:
=4/7-3/7
=4-3/7
=1/7
Answer:
Step-by-step explanation:
así que lo primero que harías es ... alinearlos así ...(el primer archivo)
Entonces para solucionarlo ...(El segundo archivo).
¡Espero que esto sea correcto y ayude!
make m the subject in the relation
[tex]2m - x + 3y \h = 2y \p[/tex]
Answer:
[tex]m = \frac{-y+x}{2}[/tex]
Step-by-step explanation:
[tex]2m - x + 3y = 2y[/tex]
Take [tex]-x[/tex] and [tex]+3y[/tex] on the other side of the equal to sign:
[tex]2m = 2y +x-3y[/tex]
Now solve for y:
[tex]2m = -y +x[/tex]
Take 2 one the other side of the equation:
[tex]m = \frac{-y +x}{2}[/tex]
Hope this helps :)
This prism has a right triangle for a base. What is the volume of the prism?
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,.
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 64/9
Figure D is the result of a transformation on figure C. which transformation would accomplish this?
PLEASE HURRY
Answer:
A translation 1 unit left and 2 units up
Step-by-step explanation:
1) look at the point at the very bottom-we can call that point A
2) that point on figure C would be at (3,-5)
3) if you move it to the left one and up two, you get that same point but on figure D
So, the answer is the second option
Matthew worked a summer job and saved $900 each
summer for the last 4 years. He also has been awarded a
grant in the amount of $5,000 and he received $3,000 in
scholarships. He estimated the first year of college to cost
$13,000. If he uses his savings, the grant, and his
scholarship, how much more will he need to pay for the
first year of college?
Answer:
1400
Step-by-step explanation:
hope that helps <3
Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale price
Answer:
The original price was of $560, while the sales price was of 560 - 224 = $336.
Step-by-step explanation:
Original price:
x
Sales price:
224 less than the sales price, that is:
x - 224.
On sale fo 40% of the original price:
So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:
[tex]x - 224 = 0.6x[/tex]
[tex]0.4x = 224[/tex]
[tex]x = \frac{224}{0.4}[/tex]
[tex]x = 560[/tex]
The original price was of $560, while the sales price was of 560 - 224 = $336.
write the number into 3 significant figures 7.00956
=================================================
Explanation:
Use a marker to highlight the first three digits on the left. That would be the 7, 0 and 0.
The digit just to the right of that second "0" is the digit "9". Since this 9 is larger than 5, we'll bump the 7.00 up to 7.01
The 0 in 7.01 is significant because it's between two nonzero values. So we have three sig figs here.
A company makes fish tanks in the shape of right rectangular prisms. The company has an order for a fish tank that must be exactly 4 feet long and hold at least 35 cubic feet of water. The company wants to save money on materials and will make the tank with the smallest surface area possible. The dimensions of the tank must be in whole foot increments and a top is included in the construction What dimensions for the width and height of the fish tank will satisfy the requirements
The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .
What is dimension?Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.
According to the given problem,
let , b = is the width of the fish tank
h = is the height of the fish tank given that , hold at least 35 cubic feet of water .
so ,
4×b×h ≥ 35
⇒ h ≥ 35/4b
now , surface area of the fish tank
⇒ 4b + 2× 4h + 2× bh
now substitute the value of h
here
⇒ ≥ 4b +70/b + 35/2
⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )
therefore ,
= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,
h = 35 / 4 × 4 = 2.1875 round off h = 2
so , the minimum surface area of fish tank is
⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48
hence , the height and the width of the fish tank is 2 and 4 .
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how to represent -23/6 on number line