3 years ago

Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form.

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

The point-slope form:

$y-y_1=m(x-x_1)$

We have:

$(-1,\ 5)\to x_1=-1,\ y_1=5\\m=3$

Substitute:

$y-5=3(x-(-1))\\\\y-5=3(x+1)$

Answer: C. y - 5 = 3(x + 1)

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Primitive function for:<br><br> 1. f(x)=4e2x+e−x, sådan att F(0)=2

Free_Kalibri [48]

The primitive function for $f(x) = 4e^{2x} + e^{-x}$ is given by it's indefinite integral.

To calculate it, recall:

$\frac{d}{dx}e^{ax}=ae^{ax}$

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Let's begin

$\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\$

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To find the costant, we just need to use the fact that $F(0)=2$

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Therefore,

$\boxed{F(x) = 2e^{2x} - e^{-x} -3 }$

6 0

2 years ago

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julsineya [31]

You need to just rewrite this

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2 years ago

Four points, A(0,0), B(1, 2), C(3, 1), and D(2,-1) lie in a plane. Line AD and Line BC are BEST described as

anygoal [31]

Answer:

Parallel

Step-by-step explanation:

Parallel lines are 2 coplanar lines that dont intersect at any point

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2 years ago

Complete the equation: x2 + 10x + ___ = 2

snow_lady [41]

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Your answer is 40mm

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Read 2 more answers