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2 years ago

Suppose f(x) = x3 + 3. Find the graph of 2 f 3 х

Mathematics

2 answers:

lisabon 2012 [21]2 years ago

8 0

Answer:

KLL

Step-by-step explanation:

Artyom0805 [142]2 years ago

8 0

6=24

hope that help!!!!!!!!!!!!!!!!!!

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skad [1K]

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vladimir1956 [14]

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2 years ago

Help me solve this equation and show work 11d + 17b = 95 d + b = 7

sweet-ann [11.9K]

Answer:

{d,b}={4,3}

Step-by-step explanation:

[1] 11d + 17b = 95

[2] d + b = 7

Graphic Representation of the Equations :

17b + 11d = 95 b + d = 7

Solve by Substitution :

// Solve equation [2] for the variable b

[2] b = -d + 7

// Plug this in for variable b in equation [1]

[1] 11d + 17•(-d +7) = 95

[1] -6d = -24

// Solve equation [1] for the variable d

[1] 6d = 24

[1] d = 4

// By now we know this much :

d = 4

b = -d+7

// Use the d value to solve for b

b = -(4)+7 = 3

Solution :

{d,b} = {4,3}

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2 years ago

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What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)

zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

Integrals
Definite Integrals
Integration Constant C

Arc Length Formula [Parametric]: $\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.$

Interval [0, π]

Step 2: Find Arc Length

[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: $\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.$
Substitute in variables [Arc Length Formula - Parametric]: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx$
[Integrand] Simplify: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx$
[Integral] Evaluate: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}$

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

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2 years ago