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3 years ago

What is a gradient of a line

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

4 0

(slope) The higher the gradient<span> of a graph at a point, the steeper the </span>line<span> is at that point.</span>

murzikaleks [220]3 years ago

4 0

Another word for gradient is slope.

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Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan

valina [46]

$2(x^2+y^2)^2=25(x^2-y^2)$

Let $y=y(x)$ , so that differentiating both sides wrt $x$ gives

$4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)$

If $x=-3$ and $y=1$ , the above reduces to

$40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}$

This is the slope of the tangent line, which has equation

$y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}$

7 0

2 years ago

For the beam shown, find the reactions at the supports and plot the shear-foce and bending moment diagrams

3241004551 [841]

I forgot how to do this man

4 0

3 years ago

Jonah flipped a coin 10 times. He flipped heads 3 times and tails 7 times. What is the experimental probability that Jonah will

steposvetlana [31]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 3/10 = 0.3

The experimental probability would be 0.3

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7 0

2 years ago

Calculate the annual interest for a $10,000 Treasury bond with a current yield of 3% that is quoted at 106 points.

Sergio [31]

Answer:

$318

Step-by-step explanation:

The treasury bond is $10,000

The current yield is 3%

= 3/100

=0.03

It is quoted at 106 points

The first step is to calculate the price of the bond

Price of the bond= $10,000×106/100

= $10,000×1.06

= $10,600

Therefore the annual interest can be calculated as follows

Annual interest= $10,600×0.03

= $318

Hence the annual interest is $318

7 0

2 years ago

What is this math problem???<br><br> g(x)=1/20x(x-100)

Fudgin [204]

Answer:

the x intercept is (0,100) and the y intercept is (0,0)

Step-by-step explanation:

g(x)=1/20x(x-100)

g(0)=1/20(0)(0-100)

g(0)=1/20*0(0-100)

g(0)=100

6 0

3 years ago