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3 years ago

How many roots does this equation have? x2 = 64 and OSX< +00

Mathematics

1 answer:

mars1129 [50]3 years ago

3 0

Answer:

69 obviously

Step-by-step explanation:

gosh

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Please help ! I have been stuck on this calculus problems, I will mark you brainliest!

Anna71 [15]

Answer:

$\displaystyle J'(3) = -1$

General Formulas and Concepts:

Algebra I

Functions
Function Notation

Calculus

Derivatives

Derivative Notation

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

Derivative: $\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle J(x) = e^{f(x)}$

Step 2: Differentiate

eˣ Derivative [Derivative Rule - Chain Rule]: $\displaystyle J'(x) = \frac{d}{dx}[e^{f(x)}] \cdot \frac{d}{dx}[f(x)]$
Simplify: $\displaystyle J'(x) = f'(x)e^{f(x)}$

Step 3: Evaluate

Substitute in x [Derivative]: $\displaystyle J'(3) = f'(3)e^{f(3)}$
Substitute in function values: $\displaystyle J'(3) = -e^{0}$
Simplify: $\displaystyle J'(3) = -1$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

4 0

3 years ago

Sin (3x) dx = ? find the integral

AVprozaik [17]

Answer:

$\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C$

General Formulas and Concepts:

Calculus

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int{sin(x)} \, dx = -cos(x) + C$

U-Substitution

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {sin(3x)} \, dx$

Step 2: Identify Substitution Variables

u = 3x

du = 3dx

Step 3: Integrate

[Integral] Rewrite: $\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx$
[Integral] U-Substitution: $\displaystyle \frac{1}{3}\int {sin(u)} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{3}[-cos(u)] + C$
[Expression] Multiply: $\displaystyle \frac{-cos(u)}{3} + C$
[Expression] Back-Substitute: $\displaystyle \frac{-cos(3x)}{3} + C$

8 0

3 years ago

Convert the following repeating decimal to a fraction in simplest form. .05

wolverine [178]

Answer:

1/20

Step-by-step explanation:

Hope that helped :))

6 0

3 years ago

Y=-2X, Y=5X+3 how do I solve this equation using substitution or elimination

Basile [38]

Answer:

y= -2x........eqn i

y=5x+3......eqn ii

substituting the value of Y from eqn i in eqn ii, we get,

-2x=5x+3

-7x=3

x= -3/7

so, y= -2x= -2× (-3/7)

so, y= 6/7

3 0

2 years ago

The ratio of cement : sand : aggregate in a mix of concrete is 1 : 3 : 3. Sang wants to make 112 kg of concrete. How much sand d

Kisachek [45]

Answer: 48

Step-by-step explanation:

The share of sand in the mixture is 3/7

To make 112 kgs. of concrete, he will need

3/7 x 112 = 48 units of sand

8 0

4 years ago

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