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4 years ago

Find y' if f(x)=sin(x+y)

Mathematics

1 answer:

sineoko [7]4 years ago

6 0

Answer:

That would be cos(x + y).

Step-by-step explanation:

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Drag each expression to show whether it can be used to find the surface area, volume or neither

Brut [27]

Answer:

Surface area:

$2(12\times 6) + 2(6 \times 8) + 2(8 \times 12)$

$2((12\times 6) + (6 \times 8) + (8 \times 12)$

Volume :

$(12 \times 6 \times 8)$

Neither:

$8(12 \times 6)$

$2(12 \times 6 \times 8)$

$12+6+8$

Step-by-step explanation:

Surface area of the cuboid:

The Surface area of the cuboid = 2(lb) +2(bh) +2(hl)

Where

l =length of the cuboid

b = Breadth of the cuboid

h = height of the cuboid

So ,

The surface area will be

SA = $2(12\times 6) + 2(6 \times 8) + 2(8 \times 12)$

SA = $2((12\times 6) + (6 \times 8) + (8 \times 12))$

SA = $2(72+48+98)$

SA = $2(216)$

SA = 432

Volumes of the cuboid:

$Volume = length \times breadth \times height$

Volume = $(12 \times 6 \times 8)$

volume = 576

4 0

4 years ago

Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finds a piece of string that is 4.25 feet long. How

Tasya [4]

[tex] 4.25 - 3.87 = .38ft [tex]

7 0

4 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$