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3 years ago

Solve this URGENT! Differentiation

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

Instead of using the quotient rule, you can first expand y :

y = (4x - 1)^2 / x ^2 = (16x ^2 - 8x + 1) / x ^2 = 16 - 8/x + 1/x ^2

Then the derivative is

dy/dx = -8/x ^2 - 2/x ^3

The tangent to the curve at (-1, 25) then has a slope or gradient of

dy/dx = -8/(-1)^2 - 2/(-1)^3 = -6

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The endpoints of GH¯¯¯¯¯¯¯¯ are G(9,−6) and H(−1,8). Find the coordinates of the midpoint M. The coordinates of the midpoint M a

jok3333 [9.3K]

Answer:

( 4, 1 )

Step-by-step explanation:

midpoint formula: (x1 + x2/ 2, y1 + y2/ 2)

(9-1/ 2, -6+8/ 2) -> (4,1)

3 0

3 years ago

85.87 J or heat energy is added to a 34.8 g mass of substance the temperature rises from 21.76°C

Andru [333]

Answer:

The required specific heat is 196.94 joule per kg per °C

Step-by-step explanation:

Given as :

The heat generated = Q = 85.87 J

Mass of substance (m)= 34.8 gram = 0.0348 kg

Change in temperature = T2 - T1 = 34.29°C - 21.76°C = 12.53°C

Let the specific heat = S

Now we know that

Heat = Mass × specific heat × change in temperature

Or, Q = msΔt

Or, 85.87 = (0.0348 kg ) × S × 12.53°C

Or , 85.87 = 0.4360 × S

Or, S = $\frac{85.87}{0.4360}$

∴ S = 196.94 joule per kg per °C

Hence the required specific heat is 196.94 joule per kg per °C Answer

7 0

3 years ago

Determine the factors of the expression x^2 - 9

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

The answer is B.

Use the sum-product pattern

2+3−3−9

Common factor from the two pairs

2+3−3−9x2+3x−3x−9

(+3)−3(+3)

Rewrite in factored form

(+3)−3(+3)

Solution:

(−3)(+3)

‘Hope it Helps!

5 0

2 years ago

9.The perimeter of a rectangle whose length is 7.5cm and breadth 3.75cmRequired to answer. Single choice.

BabaBlast [244]

Answer:

22.5 cm

Step-by-step explanation:

P = 2( L + W)

P = 2( 7.5 + 3.75)

P = 2( 11.25)

P = 22.5 cm

3 0

3 years ago

Read 2 more answers

Which rational number equals 0 point 2 with bar over 2? 1 over 10 1 over 9 2 over 10 2 over 9

Alja [10]

Answer:

$0.\bar2=\frac{2}{9}$

Step-by-step explanation:

We want to find the rational number which is equal to $0.\bar2$ .

Let $y=0.\bar2$ ....eqn(1)

Multiply both sides by 10

$10y=2.\bar2$ .....eqn (2)

Subtract eqn (1) from eqn (2)

$10y-y=2.\bar2-0.\bar2$

$\implies 9y=2$

Divide both sides by 9.

$\implies y=\frac{2}{9}$

4 0

3 years ago