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muminat
3 years ago
11

Finding Derivatives Implicity In Exercise, find dy/dx implicity. ln y + y2 = 10

Mathematics
1 answer:
Harman [31]3 years ago
6 0

Answer:

dy/dx = 0

Step-by-step explanation:

In y + y^2 = 10

Differentiating In y = 1/ydy/dx

Differentiating y^2 = 2ydy/dx

Differentiating a constant (10) = 0

1/ydy/dx + 2ydy/dx = 0

dy/dx(1/y + 2y) = 0

dy/dx = 0/(1/y + 2y) = 0

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The ratio of two numbers is 5:7. If the smaller is 100, find the other.​
Nady [450]

Step-by-step explanation:

Smaller number = 100

So now

Let the other number be x then

\frac{5}{7}  =  \frac{100}{x}  \\ 700 = 5x \\ x =  \frac{700}{5}  \\ x = 140

5 0
3 years ago
Surface area of the triangle.<br>Please help
Snowcat [4.5K]
Surface area of this triangular prism is

Area of 2 congruent triangles + Area of rectangle(6*2) + Area of rectangle(2*4) + + Area of rectangle (2*3)

Area of triangle = 1/2*6*2 =6 in²

Surface area of this triangular prism = 2*6 +6*2 +2*4 +2*3= 12+12+8+6= 38 in²
Answer is 38 in².
6 0
4 years ago
How do you solve this equation 1/3(x+1)+2x=2.
SashulF [63]

Answer: x = 5/7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/3 (x + 1) + 2x = 2

(1/3) (x) + (1/3) (1) + 2x = 2 (Distribute)

1/3x  + 1/3 + 2x = 2

(1/3x + 2x) + (1/3) = 2 (Combine Like Terms)

7/3x + 1/3 = 2

Step 2: Subtract 1/3 from both sides.

7/3x + 1/3 - 1/3 = 2 - 1/3

7/3x =  5/3

Step 3: Multiply both sides by 3/7.

(3/7) * (7/3x) = (3/7) * (5/3)

Answer: x = 5/7

6 0
4 years ago
How many solutions does the equation -2y+2y+3=3have?
Leya [2.2K]

Answer:

multiple, bc if u solve it its all real numbers

Hope This Helps!  Have A Nice Day!!

6 0
3 years ago
Please help.
Alika [10]

Answer:

250 smaller boxes

Step-by-step explanation:

Find the volume of the 2 cuboids.

Formula = Length x width x height

Big cuboid = 50 x 30 x 20 = 30000

Small cuboid = 10 x 3 x 4 = 120

Now divide them.

30000 ÷ 120 = 250 small boxes

5 0
3 years ago
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