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3 years ago

Somebody help please.

Mathematics

1 answer:

kiruha [24]3 years ago

7 0

Answer:A

Step-by-step explanation: The formula for finding volume is LxWxH. 21x 11 is 231, and since one side is 11 so will the other side be, and then you get 2,541 m cubed.

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Help evaluating the indefinite integral

Dafna11 [192]

Answer:

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

General Formulas and Concepts:
Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:
$\displaystyle (u + v)' = u' + v'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Reverse Power Rule]:
$\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

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

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution/u-solve.

Set u:
$\displaystyle u = 4 - x^2$
[u] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = -2x \ dx$
[du] Rewrite [U-Solve]:
$\displaystyle dx = \frac{-1}{2x} \ du$

Step 3: Integrate Pt. 2

[Integral] Apply U-Solve:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du$
[Integrand] Simplify:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du$
[Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C$
[u] Back-substitute:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

∴ we have used u-solve (u-substitution) to find the indefinite integral.

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Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

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

Unit: Integration

5 0

2 years ago

Adrian recipe

sweet [91]

1 3/4 for each batch to make 2 1/2 batches you need to take the amount of raisins for one batch 1 3/4 and multiply it by 2 1/2 the amount of batches.

1 3/4*2 1/2= 4 3/8 cups of raisins

4 0

4 years ago

Read 2 more answers

Solve for x and explain how I show work

DaniilM [7]

Answer:

x = 100

Step-by-step explanation:

(x - 20) + x = 180

2x - 20 = 180

+ 20 +20

2x = 200

x = 200/2

x = 100

3 0

3 years ago

Find the angle measure of the missing angle for a triangle with angle measures of 37 degrees and 75 degrees.

alina1380 [7]

The answer is 68 degrees

8 0

3 years ago

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!! Only need 4b and 4c

JulsSmile [24]

ANSWER:

b) No

c) Yes

EXPLANATION:

$3 (x+1)=3x+3$

3 (-8 + 1) = 3 x -8 + 3

(3 x -8) (3 x +1) = 3 x -8 + 3 (just put left and right sides into calcu separately)

-72 = -21

Both sides are not equal and therefore it isn't a solution.

3 (0.5 + 1) = 3 x 0.5 + 3

(3 x 0.5) (3 x +1) = 3 x 0.5 + 3

4.5 = 4.5

Both sides are equal and thereofre it IS a solution.

6 0

3 years ago