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3 years ago

What is the slope of the line tangent to the curve y+2=x22−2siny at the point(2,0)

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Answer:

Step-by-step explanation:

hello :

y+2=x²−2siny

calculate y' : y' = 2x -2y'cosy

when x= 2 and y=0 ( at the point(2,0) ) y' is the slope :

y' = 2(2)-2y'cos0 but cos0 =1

y' = 4 -2y'

3y' =4

so : y' = 4/3

You might be interested in

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation h = -16t2 + 72t +

boyakko [2]

Answer:

about 5.613 seconds

Step-by-step explanation:

Using the quadratic formula to find the value of t when h = 0, we have ...

at² +bt +c = 0

t = (-b±√(b²-4ac))/(2a)

t = (-72±√(72² -4(-16)(100)))/(2(-16))

t = (-72±√11584)/-32 = (9±√181)/4

Only the positive value of t is of interest.

The coin will hit the stream after (9+√181)/4 seconds ≈ 5.613 seconds.

4 0

3 years ago

What is the slope / rate of change for 2, 5 and -3, 7

Nady [450]

Answer:

$\displaystyle m=\frac{-2}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS 

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (2, 5)

Point (-3, 7)

Step 2: Identify

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{7-5}{-3-2}$
[Slope] [Fraction] Subtract: $\displaystyle m=\frac{2}{-5}$
[Slope] [Fraction] Rewrite: $\displaystyle m=\frac{-2}{5}$

4 0

2 years ago

0.6x-0.1=0.5x+2 The solution set is {_} PLEASE PLEASE PLEASE EXPLAIN HOW

timurjin [86]

Answer:

Step-by-step explanation:

Step 1:

0.6x - 0.1 = 0.5x + 2 Equation

Step 2:

0.1x - 0.1 = 2 Subtract 0.5x on both sides

Step 3:

0.1x = 2.1 Add 0.1 on both sides

Step 4:

x = 2.1 ÷ 0.1 Divide

Ansewr:

x = 21

Hope This Helps :)

3 0

3 years ago

The opposite of which number is closest to -5? A) -8 B) -7 C) -6 D) 7

Rina8888 [55]

the answer is 7 because all of the other numbers opposites aren't negative

6 0

3 years ago

Read 2 more answers

What is the answer 4+3x = -2y

lilavasa [31]

First add 2y to both sides
so 4 + 3x + 2y = 0
then subtract 4 from both sides
so 3x + 2y = -4
that is standard form
now subtract 3x from both sides
2y = 3x - 4
now divide by 2 on both sides
y = 1.5x - 2
This is solved for y and is slope intercept form
starting from original subtract 4 from both sides
so 3x = -2x -4
now divide by 3 on both sides
so x = -2/3x -4/3
this is solved for x
hope any of that is what you needed.

6 0

3 years ago