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3 years ago

The slope of the tangent to the curve y^3x + y^2x^2 = 6 at (2,1)

1 answer:

7 0

Y^3x + y^2x^2 = 6

Using implicit differentiation 

3 y^2.y'.x+y^3+2 y.y'.x^2+2 y^2.x=0

y'(3 y^2.x+2 y. x^2) = -y^3-2 y^2.x 

y' = -[y^2(y+2 x)]/[x y(3 y+2 x)] 

= -[y(y+2 x)]/[x(3 y+2 x)] 

Substituting x =2 and y = 1:

y' = -(1)(1+4)/[2(3+4)] 
 = -5/14 

The slope of the tangent of the curve at (2,1) will be:
m = -5/14

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adoni [48]

Bread rolls = BR
Ketchup = K
Sausages = S

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2BR + 1K + 3S = £9.55

2BR = 1.40 x 2 = £2.80
1K = £1.80

£2.80 + £1.80 + 3S = £9.55
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3 years ago

Please help me with this

lozanna [386]

Answer:

Step-by-step explanation:

there you go dude i did the math for you :)

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3 years ago

Write the following ratio using two other notations 8/9 Notation one Notation two

inessss [21]

I believe notation one would be 8:9 and notation two would be 8 to 9

5 0

3 years ago

Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants

mina [271]

Given:

The recipe calls for $\dfrac{3}{8}$ cup of chili powder.

Karl only wants to use half as much so it won’t be so spicy.

To find:

How much chili powder should Karl use?

Solution:

We have,

Chill power for recipe = $\dfrac{3}{8}$ cup

Chill power used by Karl is half of chill power for recipe.

$\text{Chill power used by Karl}=\dfrac{1}{2}\times \dfrac{3}{8}$ cup $\text{Chill power used by Karl}=\dfrac{3}{16}$ cup

Therefore, $\dfrac{3}{16}$ cup of chili powder should Karl use.

7 0

3 years ago

Find the source area of the space figure represented by the net

sergejj [24]

I assume you meant "surface area" :)

Looking at the net, it looks like if you folded it back together it would form to become a triangular prism.

To calculate the surface area of a triangular prism, you would use the formula: A = bh + 2ls + lb, where b is the base of the triangular faces, h is the height of the prism, l is the length of the prism, and s is the side length of the prism.

I attached a picture to help you see what these labels are.

Looking at the diagram you've provided, we can assume that b = 7 cm, h = 4 cm, l = 8 cm, and s = 5 cm. Substitute these into the formula.

A = bh + 2ls + lb ==> A = (7)(4) + 2(8)(5) + (8)(7)

Multiply from left to right.

28 + 80 + 56

Add.

164

The surface area of this triangular prism is A) 164 cm^2.

6 0

4 years ago