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3 years ago

Help needed

Mathematics

1 answer:

RoseWind [281]3 years ago

6 0

f(x)= x³-x²-9x+9 has x², so it will be many to one function ( one value of y will correspond several values of x).

Answer is B.

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Find the second partial derivatives of the following functions

artcher [175]

(a) z = 3x ² - 4xy + 15y ²

has first-order partial derivatives

∂z/∂x = 6x - 4y

∂z/∂y = -4x + 30y

and thus second-order partial derivatives

∂²z/∂x ² = 6

∂²z/∂x∂y = -4

∂²z/∂y∂x = -4

∂²z/∂y ² = 30

where ∂²z/∂x∂y = ∂/∂x [∂z/∂y] and ∂²z/∂y∂x = ∂/∂y [∂z/∂x].

(b) z = 4x eʸ

∂z/∂x = 4eʸ

∂z/∂y = 4x eʸ

∂²z/∂x ² = 0

∂²z/∂x∂y = 4eʸ

∂²z/∂y∂x = 4eʸ

∂²z/∂y ² = 4x eʸ

∂z/∂x = 6 ln(y)

∂z/∂y = 6x/y

∂²z/∂x ² = 0

∂²z/∂x∂y = 6/y

∂²z/∂y∂x = 6/y

∂²z/∂y ² = -6x/y ²

6 0

2 years ago

hi, i hope everyone is taking care, staying safe, and always smiling. could you help me? it is maths, brainliest will be given

prisoha [69]

Answer:

210 cm³

Step-by-step explanation:

The area of the triangular side is base*half height, which is 7*3=21.

To get the volume, multiply by the depth: 21*10 = 210 cm³

8 0

3 years ago

Read 2 more answers

A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followin

dezoksy [38]

Answer:

32 days

Explanation:

Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:

First night: 1 penny = 2⁰

Second night: 1 × 2 pennies = 2¹

Third night: 2 × 2 = 2²

Fourth nigth: 2² × 2 = 2³

nth night: 2ⁿ⁻¹

You want 2ⁿ⁻¹ ≥ 2,000,000,000

Which you solve in this way:

2ⁿ⁻¹ ≥ 2,000,000,000

2ⁿ⁻¹ ≥ 2,000,000,000

n-1 log (2) ≥ log (2,000,000,000)

n - 1 ≥ log (2,000,000,000) / log (2)

n - 1 ≥ 30.9

n ≥ 31.9

Since n is number of days, it is an integer number, so n ≥ 32.

Hence, she will have a total of more than $ 2 billion after 32 days.

You can prove that by calculating 2³² = 2,147,483,648.

5 0

3 years ago

2x^2y^3z^2 · 4xy^4x^2 Multiply and simplify

Advocard [28]

Take out the constants

(2 × 4)x^2xx^2y^3y^4z^2

Simplify 2 × 4 to 8

8x^2xx^2y^3y^4z^2

Use the Product Rule: x^ax^b = x^a + b

8x^2 + 1 + 2y^3 + 4z^2

Simplify 2 + 1 + 2 to 5

8x^5y^3 + 4z^2

Simplify 3 + 4 to 7

8x^5y^7z^2

6 0

3 years ago

Ed eats 6 pieces of fruit. He can eat strawberries or grapes. Show the ways Ed could pick which fruit to eat.

vodka [1.7K]

g=grapes

s=strawberries

0g+6s

1g+5s

2g+4s

3g+3s

4g+2s

5g+1s

6g+0s

8 0

3 years ago