3 years ago

I need a little help on this.

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Its answer c) 6
Have a great day

You might be interested in

At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not

Nikitich [7]

If $f(x, y, z) = c$ represent a family of surfaces for different values of the constant $c$ . The gradient of the function $f$ defined as $\nabla f$ is a vector normal to the surface $f(x, y, z) = c$ .

Given the paraboloid

$y = x^2 + z^2$ .

We can rewrite it as a scalar value function f as follows:

$f(x,y,z)=x^2-y+z^2=0$

The normal to the paraboloid at any point is given by:

$\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\ \\ =2xi-j+2zk$

Also, the normal to the given plane $3x + 2y + 7z = 2$ is given by:

$3i+2j+7k$

Equating the two normal vectors, we have:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

4 0

4 years ago

Find the HCF of terms and factorise: 20x3 – 40x2 + 80x

sergiy2304 [10]

Answer:

The largest factor that can be pulled out of that expression is 20x, giving you 20x(x² - 2x + 4)

Step-by-step explanation:

20x³ - 40x² + 80x

= 20x(x² - 2x + 4)

6 0

3 years ago

1. Find the lengths of the missing sides in the pairs of s 5 X 4 2 3 7

Ahat [919]

Answer:

21185

Step-by-step explanation:

7 0

3 years ago

F(x)=49 range and domain

SpyIntel [72]

Answer:

here domain is x and range is 49

7 0

3 years ago

The following six students – Andy, Betty, Chris, Frank, Mark and Mary are standing in line outside of a classroom: Chris, the la

ddd [48]

Frank, Betty, Mark, Mary, Andy, Chris
Mary is fourth in line.

7 0

3 years ago

Read 2 more answers