Which of the following represents a radius of the circle?

Given b(x)=√3x+3 evaluate f(11) I really need help with this.

andre [41]

Step-by-step explanation:

$\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}$

in we have x = 11

put the value of x in equation

$b(11) = \sqrt{3} (11) + 3$

$b(11) = 11 \sqrt{3} + 3$

so x = 11√3

Hope it helps

4 0

4 years ago

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

2 years ago

Please answer!! Its due today!

adelina 88 [10]

Answer:

20 degrees

explanation:

90 + 70 = 160
180 - 160 = 20

8 0

3 years ago

The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the

Digiron [165]

Answer:

6 if 7 doesnt divide n, 42 otherwise. The only possible options are those 2.

Step-by-step explanation:

I will find the possible answers, since no options were given

$16 = 2^4$ , thus, 16 only has 2 as a prime divisor. We conclude that n = 4*k, with k an odd number. On the other hand, $45 = 3^2 * 5$ , since the greatest factor between n and 45 is 3, then 5 is not a divisor of n, and n has the form 3*j, with j not a multiple of 3. Since 3 and 4 doesnt have common primes as factors, then j = 4*l, with l odd.

Thus n = 12 * j, with j a number that satisfies:

3 is not a divisor of j
2 is not a divisor of j
5 is not a divisor of j

Note that $210 = 2*3*5*7$ . 12 is not factor of 210, but 6 is. j doesnt have any prime divisor in common with 210, with the exception, maybe, of 7. So the greatest common factor of them is 1 or 7, depending on weather 7 divides j (or equivalently, n) or not. Therefore, the greatest common factor of n and 210 could be 6, if 7 does not divide n, or 6*7 = 42, if 7 divides n.

I hope that works for you!

8 0

3 years ago

Which is the graph of x - y = 1

Mashutka [201]

Answer:

the second graph

Step-by-step explanation:

5 0

3 years ago