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Semmy [17]
2 years ago
5

The slope of the tangent to the curve y^3x + y^2x^2 = 6 at (2,1)

Mathematics
1 answer:
arlik [135]2 years ago
7 0
Y^3x + y^2x^2 = 6 

<span>Using implicit differentiation </span>
<span>
3 y^2.y'.x+y^3+2 y.y'.x^2+2 y^2.x=0
 </span>
<span>y'(3 y^2.x+2 y. x^2) = -y^3-2 y^2.x </span>
<span>
y' = -[y^2(y+2 x)]/[x y(3 y+2 x)] </span>
<span>
   = -[y(y+2 x)]/[x(3 y+2 x)] </span>
<span>
Substituting x =2 and y = 1:
 </span>
<span>y' = -(1)(1+4)/[2(3+4)] </span>
<span>   = -5/14 </span>

<span>The slope of the tangent of the curve at (2,1) will be:
 m = -5/14</span>
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The table shows Ava's checking account activity for several weeks. Ava's beginning balance was $685. What was her ending balance
Dafna11 [192]
B. Deposit means she added money to her account so you would add 175 and 180 to 685 (giving you 1040). Withdrawal means she took money out of her account so you would subtract 240, 140, and 350 from 1040 giving you your answer of $310 :)
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Of a line passes through the points (1, 2) and (5, 3) the equation of the line is...
Ksju [112]

Answer:

y=1/4x+7/4

Step-by-step explanation:

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4 0
3 years ago
Please help meeeeeeeeee
aalyn [17]
C.) 1600 pi cm3

When you do 10^2 you get 100 and you multiply that by the height so 16 and you get 1600.
3 0
2 years ago
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Please help, Will give brainliest
Talja [164]

Answer:

First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:

a² + b² = c²

30² + b² = 50²

b² = 50² - 30²

b² = 1600

b = 40    Line BL = 40 ft

Since the ladder is 50 feet it is the same length on the other side as well

a² + b² = c²

40² + b² = 50²

b² = 50² - 40²

b² = 900

b = 30        line LM is 30 ft

SO line lm + line bl = 30 + 40 = 70 ft

A is true because ^

B isn't true because as we solved for earlier, BL is 40

C is true because line LM is in fact 30 ft as we solved for

D is not true because as we said earlier BM is 70

E is true because the same ladder was used on both sides of the street

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
NEED HELP ON ALL OF THESE PLEASE
tangare [24]

Answer:

1) 2670m^2

2) 4718 in^2

3) 4730 ft^2

4) 7900cm^2

5) 11 542mm^2

6) 3740m^2

7) 6374m^2

8) 2824 ft^2

9) 6004mm^2

Step-by-step explanation:

Area of a rectangular prism = 2wl + 2lh + 2hw

Where,

w = width

l = length

h = height

1) Area of a rectangular prism = 2wl + 2lh + 2hw

h = 10m; l = 31m; w = 25m

Area = 2(25m)(31m) + 2(31m)(10m) + 2(10m)(25m)

= 2(775m^2) + 2(310m^2) + 2(250m^2)

= 1550m^2 + 620m^2 + 500m^2

= 2670m^2

2) Area of a rectangular prism = 2wl + 2lh + 2hw

h = 21 in; l = 35 in; w = 29 in

Area = 2(29in)(35in) + 2(35in)(21in) + 2(21in)(29in)

= 2(1015in^2) + 2(735in^2) + 2(609in^2)

= 2030in^2 + 1470in^2 + 1218in^2

= 4718 in^2

3) Area of a rectangular prism = 2wl + 2lh + 2hw

h = 19 ft; l = 39ft; w = 28ft

Area = 2(28ft)(39ft) + 2(39ft)(19ft) + 2(19ft)(28ft)

= 4730 ft^2

4) Area of a rectangular prism = 2wl + 2lh + 2hw

h = 24,cm; l = 49cm; w = 38cm

Area = 2(38cm)(49cm) + 2(49cm)(24cm) + 2(24cm)(38cm)

= 7900cm^2

5) 11 542mm^2

6) 3740m^2

7) 6374m^2

8) 2824 ft^2

9) 6004mm^2

Note : Kindly follow the same process for the remaining questions, you'd get their correct answers. I can't finish up due to time constraints. However, you may send me a direct message for the remaining answers. Thank you.

5 0
3 years ago
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