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3 years ago

Question 3 . amaths really need help. calculus. reply quicky thanks

Mathematics

1 answer:

spin [16.1K]3 years ago

6 0

Hello,

1)
y=(2x-7)(x+5)^3

y'=2(x+5)^3+(2x-7)*3*(x+5)²
if x=4 then
y'=2*9^3+1*3*9²=1701

2)
y=(3x-2)/√(x+2)

y'=(3*√x+2 - (3x-2)/(2*√x+2))/(x+2)

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Artist 52 [7]

Answer:

$x^{2}$ + 40x + 400

Step-by-step explanation:

$(x + 20)^{2}$

(x + 20)(x + 20)

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$x^{2}$ + 40x + 400

7 0

2 years ago

Factor completely: 1331x^3 - 729y^3

Studentka2010 [4]

Answer:

(11x - 9y) (121x² + 99xy + 81)

Step-by-step explanation:

Difference of cubes

∛1331x³ = 11x = a

∛729y³ = 9y = b

(a³ + b³) = (a + b) (a² - ab + b²)

(a³ - b³) = (a - b) (a² + ab + b)

(1331x³ - 729y³) = (11x - 9y) (121x² + 99xy + 81)

5 0

3 years ago

Vivian exchanged her Japanese yen for ?56.92 in U.S. dollars. What equation can be used to find the quantity of Japanese yen tha

Lilit [14]

That is 6120.43 yen rounded to the nearest hundredth because if you exchange 56.92 at a rate of 1 yen is equal to 0.0093 you get 6120.43.

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2 years ago

Area of square = 9 mm2<br> Perimeter of square=

GalinKa [24]

Answer:

the perimeter of the square is 12 mm

Step-by-step explanation:

each side of the square is 3 mm

8 0

3 years ago

Read 2 more answers

Simplify tan9x-tan5x / 1+tan9xtan5x

Wittaler [7]

Answer:

The given expressions simplifies to tan (4x).

Step-by-step explanation:

Here, the given expression is : $\frac{tan9x - tan5x}{1+ tan9xtan5x}$

By TRIGONOMETRIC IDENTITY:

$tan (A-B) = \frac{tanA - tanB}{1+ tanAtanB}$

Putting this identity here, and taking A = 9 x, B = 5 x, we get

$\frac{tan9x - tan5x}{1+ tan9xtan5x} = tan (9x-5x)$

= tan(4x)

Hence, the given expressions simplifies to tan (4x).

5 0

2 years ago