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3 years ago

Please Help, Thanks!!

Mathematics

1 answer:

diamong [38]3 years ago

4 0

Answer:

505.8

Step-by-step explanation:

4215x0.12=505.8

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Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Factoring

Calculus

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Quotient Rule: $\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

Step 2: Differentiate Pt. 1

Find 1st Derivative

Implicit Differentiation [Product Rule/Basic Power Rule]: $-y - xy' - 2y' = 0$
[Algebra] Isolate y' terms: $-xy' - 2y' = y$
[Algebra] Factor y': $y'(-x - 2) = y$
[Algebra] Isolate y': $y' = \frac{y}{-x-2}$
[Algebra] Rewrite: $y' = \frac{-y}{x+2}$

Step 3: Find y

Define equation: $-xy - 2y = -4$
Factor y: $y(-x - 2) = -4$
Isolate y: $y = \frac{-4}{-x-2}$
Simplify: $y = \frac{4}{x+2}$

Step 4: Rewrite 1st Derivative

[Algebra] Substitute in y: $y' = \frac{-\frac{4}{x+2} }{x+2}$
[Algebra] Simplify: $y' = \frac{-4}{(x+2)^2}$

Step 5: Differentiate Pt. 2

Find 2nd Derivative

Differentiate [Quotient Rule/Basic Power Rule]: $y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}$
[Derivative] Simplify: $y'' = \frac{8}{(x+2)^3}$

Step 6: Find Slope at Given Point

[Algebra] Substitute in x: $y''(-1) = \frac{8}{(-1+2)^3}$
[Algebra] Evaluate: $y''(-1) =8$

6 0

3 years ago

Read 2 more answers

Can y'all help with this?

lesya692 [45]

Answer:

Step-by-step explanation:

rate = a

a = -16-(-11)/9-6

a= -5/3

3 0

3 years ago

As an estimation we are told 5 miles is 8 km. Convert 27.5 miles to km.

lions [1.4K]

Answer:

44 km

Step-by-step explanation:

8/5 is the conversion between m and km which is 1.6 and then we can simply multiply 27.5 times 1.6 which is 44 km I hope this helps.

7 0

3 years ago

Mathhhh helppppppppppppppppppp

Salsk061 [2.6K]

4. C)If two figures are congruent, then they are similar.
If they are congruent them shape and size are the same and hence they are similar

5. Ratio 4/3 smaller side is 21
Multiply to find large side
4/3×21= 28ft D)

6. Width went from 24 to 3 in divide to get ratio
24/3 =8 now divide the length by 8 to find the postcard length
32/8= 4 in A)

8. If they are similar you need to find the ratio y reduces from 8 is similar to 6 so link those 6/8
This is your ratio you can simplify it to 3/4 now y/6 should also = 3/4
Y/6=3/4
Y=18/4= 4.5 C)

9.C)DC

8 0

3 years ago

Read 2 more answers

A triangle has one angle that measure 45° and one that measures 60°. What is the

Tasya [4]

Answer:

option a 75°

Step-by-step explanation:

45°+60°+third angle=180°[by angle sum property]

105°+third angle=180°

third angle =180°-105°

third angle=75°

7 0

2 years ago