All categories

3 years ago

If f(x) = 5x2+2, then what is the slope of f(x) at x = 4?

Mathematics

1 answer:

REY [17]3 years ago

6 0

The slope of a function at a point is the value of its derivative there.

... f'(x) = 5·(2x) + 0 = 10x . . . . . . using the power rule: (d/dx)(xⁿ) = n·xⁿ⁻¹

Then

... f'(4) = 10·4 = 40 . . . . . the slope at x=4

You might be interested in

Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

here, $\theta =t$

So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

4 0

3 years ago

In order to make a dozen

Stolb23 [73]

Answer:

I think it's 24

Step-by-step explanation:

3 0

2 years ago

( use elimination) on 3x+5y=12 and x-3y=4

Elena L [17]

Answer:

x=4 y=0

Step-by-step explanation:

3x+5y=12

-(x-3y=4)

3x+5y=12

3(-x+3y=-4)

3x+5y=12

-3x+9y=-12

14y=0

y=0

Then, substitute the y into the equation to find x

x-3(0)=4

x=4

7 0

2 years ago

Pls answer both I really need help...

ehidna [41]

Step-by-step explanation:

the correct answer is in there

8 0

2 years ago

Read 2 more answers

suzanne buys 6 paints sets. each set contains the same number of brushes. she buys 18 brushes.how many bruxhes are in each paint

Luda [366]

3 bruches i think

Because you need to divide

6 0

3 years ago

Read 2 more answers