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2 years ago

The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f. f(x+2)

Mathematics

1 answer:

Yuki888 [10]2 years ago

8 0

The value of $f(x+2)=2.1x+2.5$

Step-by-step explanation:

Given: The function $f(x)=2.1x-1.7$

Using this formula, we need to find the value of $f(x+2)$

Hence, we need to substitute $x$ by $x+2$ to find the value of $f(x+2)$

$f(x+2)=2.1(x+2)-1.7$

Multiplying the term $(x+2)$ by $2.1$ , we get,

$f(x+2)=2.1x+4.2-1.7$

Adding the constant term,

$f(x+2)=2.1x+2.5$

Thus, the value of $f(x+2)$ is $f(x+2)=2.1x+2.5$

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(a) Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initial-value problem y' = 4x −

Verizon [17]

Answer:

$y\left(1.4\right)=0.992$ .

Step-by-step explanation:

The Euler's method states that $y_{n+1}=y_n+h \cdot f \left(x_n, y_n \right)$ , where $x_{n+1}=x_n + h$ .

To find $y\left(1.4 \right)$ for $y'=- 4 x y + 4 x$ when $y\left(1 \right)=0$ , with step size $h=0.2$ using the Euler's method you must:

We have that $h=0.2=\frac{1}{5}$ , $x_0=1$ , $y_0=0$ , $f(x,y)=- 4 x y + 4 x$ .

Step 1.

$x_{1}=x_{0}+h=1+\frac{1}{5}=\frac{6}{5}$

$y\left(x_{1}\right)=y\left( \frac{6}{5} \right)=y_{1}=y_{0}+h \cdot f \left(x_{0}, y_{0} \right)=0+h \cdot f \left(1, 0 \right)=0 + \frac{1}{5} \cdot \left(4.0 \right)=0.8$

Step 2.

$x_{2}=x_{1}+h=\frac{6}{5}+\frac{1}{5}=\frac{7}{5}=1.4$

$y\left(x_{2}\right)=y\left( \frac{7}{5} \right)=y_{2}=y_{1}+h \cdot f \left(x_{1}, y_{1} \right)=0.8+h \cdot f \left(\frac{6}{5}, 0.8 \right)=0.8 + \frac{1}{5} \cdot \left(0.96 \right)=0.992$

The answer is $y\left(1.4\right)=0.992$

3 0

3 years ago

A wheel on Aldo's bicycle is 1.1 ft in diameter. Aldo races the bicycle for 110 ft . How many times does the wheel turn as the b

Svetllana [295]

Circumference = PI x Diameter

circumference of tire = 3.14 x 1.1 = 3.454 feet

so every full turn of the tire the bike travels 3.454 feet

110 feet / 3.454 = 31.8 turns

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3 years ago

If the probability of an event is 0.7 repeating, what are the odds against the event

ivann1987 [24]

So the probability is the number of favorable outcomes divided by the number of total outcomes. This means that the favorable outcomes are 7/9, and the unfavorable outcomes are 2/9. The odds against the event are the unfavorable outcomes. Therefore the odds against the event is 2/9, or 0.2 repeating. Hope this helps. Feel free to ask more questions, and feel free to ask questions about my explanation.

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2 years ago

What is the simplified value of the exponential expression 161/4

just olya [345]

Answer:

40 1/4

Step-by-step explanation:

160 is a multiple of 4

160 / 4 = 40

40 1/4

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2 years ago

Read 2 more answers

Plz help im cheeks at math

Vera_Pavlovna [14]

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3 years ago