Can someone please tell the correct answer

At what points does the curve r(t) = ti + (3t − t2)k intersect the paraboloid z = x2 + y2? (if an answer does not exist, enter d

tekilochka [14]

$\mathbf r(t)=x(t)\,\mathbf i+y(t)\,\mathbf j+z(t)\,\mathbf k=t\,\mathbf i+(3t-t^2)\,\mathbf k$

Along the curve $\mathbf r(t)$ , we have $y(t)=0$ , so the equation of the paraboloid reduces to

$z=x^2\iff3t-t^2=t^2\implies2t^2-3t=t(2t-3)=0\implies t=0\text{ and }t=\dfrac32$

3 0

3 years ago

Problem: Match each value on the left with the number on the right that includes that value.

Anestetic [448]

Answer:

5 Thousands ⇒ 45,089

8 Hundreds ⇒ 958,823

3 millions ⇒ 3,072,700

2 Ten thousands ⇒ 7,426,580

7 Hundred Thousands ⇒ 752,671

Step-by-step explanation:

Solution:

We need match the numbers with given set of numbers.

Now,

5 thousands ⇒

So we can say that from given set of the numbers we need to find the number 5 belongs in thousands place.

So we can say that the number 5 in thousands place from given of number is ;

5 Thousands ⇒ 45,089

8 Hundreds ⇒

So we can say that from given set of the numbers we need to find the number 8 belongs in hundred place.

So we can say that the number 8 in Hundred place from given of number is ;

8 Hundreds ⇒ 958,823

3 Millions ⇒

So we can say that from given set of the numbers we need to find the number 3 belongs in millions place.

So we can say that the number 3 in Millions place from given of number is ;

3 millions ⇒ 3,072,700

2 Ten thousands ⇒

So we can say that from given set of the numbers we need to find the number 2 belongs in Ten thousands place.

So we can say that the number 3 in Ten Thousands place from given of number is ;

2 Ten thousands ⇒ 7,426,580

7 Hundred thousands ⇒

So we can say that from given set of the numbers we need to find the number 7 belongs in Hundred thousands place.

So we can say that the number 7 in Hundred Thousands place from given of number is ;

7 Hundred Thousands ⇒ 752,671

Hence the matching numbers are

5 Thousands ⇒ 45,089

8 Hundreds ⇒ 958,823

3 millions ⇒ 3,072,700

2 Ten thousands ⇒ 7,426,580

7 Hundred Thousands ⇒ 752,671

6 0

3 years ago

Given f(x) = ax – b, what is f-1(x)

swat32

The correct answer is x+b/a

f^{-1}(x)=\frac{x+b}{a}

8 0

3 years ago

Read 2 more answers

Choose the correct reason for each algebraic statement.

Vsevolod [243]

3. is C, 4. is B, 5. is A, 6. is D

8 0

3 years ago

In the town zoo 3/8 of the animals are birds. Of the birds 4/15 are birds of prey. What fraction of the animals are nirds of pre

poizon [28]

3/8 of the animals are birds
of the birds: 4/15 are birds of prey

If you want to know what fraction of the animals at the zoo are birds of prey, you can calculate this using the following steps:

4/15 * 3/8 = 12 / (15*8) = 1 / (5*2) = 1 / 10 = 0.1

Result: In the town zoo, 1/10 of animals are birds of prey.

5 0

3 years ago