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3 years ago

14

If s = 24t + 3t2 - t3 what is the relative maximum

1 answer:

MAXImum [283]3 years ago

3 0

<span>v = 24 + 6t - 3t^2 is the correct answer</span>

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2x²-26x+84 (Factor COMPLETELY)

Nadya [2.5K]

$\tt{} {2x}^{2} - 26x + 84$

$\tt{}2 {(x}^{2} - 13x + 42)$

$\tt{}2 {(x}^{2} - 6x - 7x + 42)$

$\tt{}2( x \times (x - 6) - 7(x - 6))$

$\tt{}2(x - 6) \times (x - 7)$

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3 years ago

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

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3 years ago

What set of transformations is performed on triangle RST to form triangle R’S’T’?

DanielleElmas [232]

Answer:

The last option is correct

Step-by-step explanation:

A translation of 2 units down takes S to the point (1, -1). Then a counterclockwise rotation about the origin takes S to the point (-1, -1) where we have S' .

8 0

3 years ago

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What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

egoroff_w [7]

Answer: $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

$AP:AB=3:4$

$AP:PB=AP:(AB-AP)=3:(4-1)=3:1$

It means, point P divides segment AB in 3:1.

Section formula: If a point divides a line segment in m:n, then

$\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, we get

$P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)$

$P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)$

$P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)$

$P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$

Therefore, the required point is $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

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3 years ago

Which statement most accurately explains why x^5/x^2 is equal to x^3?

Serggg [28]

$\bf \cfrac{x^5}{x^2}\implies \cfrac{x^{3+2}}{x^2}\implies \cfrac{x^3\underline{x^2}}{\underline{x^2}}\implies x^3$

8 0

3 years ago

Read 2 more answers