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3 years ago

Find p (-5) p(3) for p(x)=2x^5-9x^4-2x^2+12x-2

Mathematics

1 answer:

Margarita [4]3 years ago

8 0

Answer:

We have to evaluate the function p with the numbers on the argument of them, that is:

p(-5) = -11887

p(3)= -191

Step-by-step explanation:

First we are going to evaluate the functions and then to replace x by the corresponding number on the argument:

p(-5)= 2 (-5)^5 -9(-5)^4 -2(-5)^2+12(-5) +2 = -11887

p(3) =2(3)^5-9(3)^5-2(3)^2+12(3)-2 =-191

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HELP DUE IN 15 MINS!

boyakko [2]

Answer:

r = $2\sqrt{5}$

$(x - 3)^{2} + ( y - 2)^{2} = 20$

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

$r^{2}$ = ${(3 - 5)^{2} + (2 + 2)^{2} }$

= $(-2)^{2} + 4^{2}$

= 4 + 16 = 20

r = $\sqrt{20 } = 2\sqrt{5}$

Equation of circle: $(x - 3)^{2} + ( y - 2)^{2} = 20$

8 0

3 years ago

Read 2 more answers

Find the area of the region enclosed by the graphs of the functions

Vaselesa [24]

Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

Calculus

Area - Integrals

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

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx$
[Area] Rewrite [Integration Property - Subtraction]: $\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx$
[Area] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}$
[Area] Evaluate [Integration Rule - FTC 1]: $\displaystyle A = \frac{2}{3} - \frac{2}{7}$
[Area] Subtract: $\displaystyle A = \frac{8}{21}$

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

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

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3 years ago

A 16-ounce bottle of Fresh Water is $1.76. A 20-ounce bottle of Spring Water is $2.40 . Which statement about the unit prices is

krok68 [10]

What Are The Answer Choices?

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4 years ago

If the end points of the diameter of a circle are (9,4) and (5,2) what is the standard form equation of the circle

timurjin [86]

Answer:

(x - 7)² + (y - 3)² = 5

Step-by-step explanation:

The center (h , k) is the midpoint of two end points of diameter

h = (9 + 5) / 2 = 7

k = (4 + 2) / 2 = 3

Equation of circle: (x - h)² + (y - k)² = r²

r = (√(9 - 5)² + (4 - 2)²) / 2 = √5

Equation: (x - 7)² + (y - 3)² = 5

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3 years ago

n the following diagram, points C, A, and B are collinear. Use complete sentences to describe the sum of CA and AB

svp [43]

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3 years ago