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lesantik [10]
3 years ago
14

Find an equation for the line tangent to the curve at the point defined by the given value of d²y/dx².​

Mathematics
1 answer:
mars1129 [50]3 years ago
4 0

Answer:

Step-by-step explanation:

Given:

x = 2cost,

t = (1/2)arccosx

y = 2sint

dy/dx = dy/dt . dt/dx

dy/dt = 2cost

dt/dx = -1/√(1 - x²)

dy/dx = -2cost/√(1 - x²)

Differentiate again to obtain d²y/dx²

d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)

At t = π/4, we have

(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)

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La deltamath.com/app/student/solve/13663622/custom1610392117456
klasskru [66]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete as the required trapezoid is not given. SO, I will answer using genera rules.

The area of a trapezoid is:

Area = \frac{1}{2}(x + y) * z

Where

x, y \to parallel sides

z \to height

Assume that:

x = 2; y =3; z = 4

The formula becomes

Area = \frac{1}{2} * (2 + 3) * 4

Area = \frac{1}{2} * 4 * 4

Area = 5

5 0
3 years ago
Help and please explain
katrin2010 [14]

alright so you need to find the unit rate for both of these bought items.


5.25(5 1/4) pounds is equal to $2.10 if you set it into an equation

5.25x = $2.10

x represents how much is the price for one pound of banana

to find x you divide $2.10 by 5.25

you can either plug that into a calculator (.4 is the answer)

to divide a fraction

2.10 / 1 ÷ 21/4

switch the 21/4


2.10/1 ÷ 4/21

instead of using division to solve this you actually multiply!(don't ask me why)

2.10 × 4 = 8.4

21 × 1 = 21

now divide 8.4 by 21 = $0.4 for each pound of bananas


do the same on the other persons payment

3.25x = 6.5

x = 0.5


now you answer it. which one is cheaper?


7 0
4 years ago
Write a report to the president of the company explaining the meaning of the solutions​
ss7ja [257]

Step-by-step explanation:

x is less than -10

x is greater than or equal to 25

8 0
3 years ago
Read 2 more answers
Persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not. Make sure to state reasons for or against you
Darya [45]

Answer:

Yes!

Step-by-step explanation:

In Pythagorean Triples, the two legs always have to add up to be a greater number than the hypotenuse. In this case, 12 and 16 are the legs and 20 is the hypotenuse. The sum of 12 and 16 is 28. That is more than 20, so 12, 16 and 20 make a right triangle. I hope this helps you!

8 0
3 years ago
A triangle has a length of 6cm,8cm,and 10cm what is the area of this triangle in cm cubed​
notsponge [240]

Answer: 24 cm^2 (24 centimeters squared)

Step-by-step explanation:

6^2 + 8^2 = 36 + 64 = 100 = 10^2

(1/2)*6*8 = 24 cm^2.

8 0
3 years ago
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