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3 years ago

6. The total cost of materials to build the foam

Mathematics

1 answer:

Sophie [7]3 years ago

4 0

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

TSA of pit = 756 square foot

Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

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just olya [345]

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3 years ago

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation

stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

Example:- $\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

Step-by-step explanation:

Partial differentiation:-

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

Implicit function:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

The total differential co-efficient

d z = δ z/δ x + $\frac{dy}{dx}$ δ z/δ y

Implicit differentiation process

differentiate both sides of the equation with respective to 'x'

move all d y/dx terms to the left side, and all other terms to the right side

factor out d y / dx from the left side
Solve for d y/dx , by dividing

Example : $x^2 + x y +y^2 =1$

solution:-

differentiate both sides of the equation with respective to 'x'

$2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0$

move all d y/dx terms to the left side, and all other terms to the right side

$x \frac{dy}{dx} + 2y\frac{dy}{dx} = - (y+2x)$

Taking common d y/dx

$\frac{dy}{dx} (x+2y) = -(y+2x)$

$\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

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3 years ago

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stellarik [79]

Answer:1.00

Step-by-step explanation:I misses u

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3 years ago

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The area of a circle with a radius of 26 inches

exis [7]

Answer:

2,123.7 square inches

Step-by-step explanation:

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3 years ago

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Please help it’s for home work

pantera1 [17]

The slope is 6 because x/y or rise/run and in x equal +1 which is positive 1 and y equal +6 which is positive 6... then you divide y by x which will be 6 divided 1 or 6/1 and that’s how it’s 6 :)

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3 years ago