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3 years ago

Evaluate d^2y/dx^2 for 2x^2+2y=17

Mathematics

1 answer:

bonufazy [111]3 years ago

6 0

Answer:

d^2y/dx^2 = 2

Step-by-step explanation:

We take the derivative with respect to x twice here. Find the first derivative, simplify the results and then differentiate that result again with respect to x.

(d/dx)(2x^2+2y=17+ → 4x + 2(dy/dx) = 0. Simplifying, we get:

dy/dx = -2x

Now take the derivative of this new equation, obtaining:

d^2y/dx^2 = 2

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Joe has one book each for algebra, geometry, history, psychology, Spanish, English and Physics in his locker. How many different

Alisiya [41]

Answer:

There are 35 different sets of 3 books Joe could choose

Step-by-step explanation:

* Lets explain how to solve the problem

- Combination is a collection of the objects where the order doesn't

matter

- The formula for the number of possible combinations of r objects from

a set of n objects is nCr = n!/r!(n-r)!

- n! = n(n - 1)(n - 2)................. × 1

Lets solve the problem

- Joe has one book each for algebra, geometry, history, psychology,

Spanish, English and Physics in his locker

∴ He has seven books in the locker

- He wants to chose three of them

∵ The order is not important when he chose the books

∴ We will use the combination nCr to find how many different sets

of three books he can choose

- The total number of books is 7

∴ n = 7

∵ He chooses 3 of them

∴ r = 3

∵ 7C3 = 7!/3!(7 - 3)! = 7!/3!(4!)

∴ $7C3=\frac{(7)(6)(5)(4)(3)(2)(1)}{[(3)(2)(1)][(4)(3)(2)(1)]}=35$

∴ 7C3 = 35

* There are 35 different sets of 3 books Joe could choose

3 0

3 years ago

What is the simplified base for the function f(x)=2 (3 sqrt 27^2x)?

Kaylis [27]

C: 9 would be the answer

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3 years ago

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Find the measure of each angle if c||d show work

weeeeeb [17]

Answer:

Part a) <1=72°

Part b) <2=108°

Part c) <3=72°

Part d) <4=108°

Step-by-step explanation:

step 1

Find the measure of angle 1

we know that

<1+108°=180° -----> by supplementary angles

<1=180°-108°=72°

step 2

Find the measure angle 2

we know that

<2=108° -----> by corresponding angles

step 3

Find the measure angle 3

we know that

<3=<1-----> by corresponding angles

<3=72°

step 4

Find the measure angle 4

we know that

<4=108° -----> by alternate exterior angles

5 0

3 years ago

An equation that equals 19 x

german

Answer:

361x ÷ 19 = 19x

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3 years ago

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Carbon-14 has a half life of 5730 years. A bone sample from a bird has 80% of its original Carbon-14. Fine how long ago the bird

vichka [17]

Answer:

1845 years

Step-by-step explanation:

Decay of Carbon-14 is usually modeled by an exponential function. It x is the number of years since the original amount was brought into existence, then the fraction remaining (y) is modeled by ...

... y = (1/2)^(x/5730)

We want to find the value of x when y = 80% = 0.80. The equation is then ...

... 0.80 = 0.50^(x/5730)

Taking logarithms, we get

... log(0.80) = (x/5730)·log(0.50)

Multiplying by the inverse of the coefficient of x, we have

... x = 5730·log(0.80)/log(0.50) ≈ 1845 . . . . years

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3 years ago