4. Using the numbers 3, 2, and 4, which of these problems would have a solution of 4? (1 point)

Suppose you need to know an equation of the tangent plane to a surface S at the point P(4, 1, 4). You don't have an equation for

Alex777 [14]

Answer:

$15x-8y+9z=88$

Step-by-step explanation:

We are given that

Equation of curves

$r_1(t)=$

$r_2(u)=$

Both curves lie on S.

We have to find the equation of tangent plane at P(4,1,4).

$r'_1(t)=,r'_2(u)=$

$r_1(0)=, r_2(1)=$

Hence, t=0 and u then it satisfied the given point.

Substitute the values in the derivatives

$r'_1(0)=,r'_2(1)=$

$r'_1(0)\times r'_2(1)=\times =$

The equation of tangent at point P(4,1,4) is given by

$30(x-4)-16(y-1)+18(z-4)=0$

$30x-120-16y+16+18z-72=0$

$30x-16y+18z=176$

$15x-8y+9z=88$

5 0

3 years ago

A man who is 2 meters tall stands on level ground. He is 32 meters from the base of a tree. The angle of elevation of the top of

podryga [215]

Answer:

h = 16.92 m

Step-by-step explanation:

If you mean to man horizontal line of sight then the height of the tree is:

h = 2m + x

x is one right side and second is distance from the base of a tree 32m.

Tangence in this right triangle is:

tan 25° = x / 32 => x = 32 · tan 25° = 32 · 0.4663 = 14.92m

h = 2 + 14.92 = 16.92m

God with you!!!

6 0

2 years ago

Read 2 more answers

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.

Monica [59]

Equation to find number: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

Number's value: n = $-\frac{19}{3}$

Step-by-step explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be $\frac{1}{n}$ .

The difference of three and the reciprocal of a number ( $\frac{1}{n}$ ) would be $\frac{1}{n}$ - 3.

The quotient of 20 and the number (n) would be $\frac{20}{n}$ .

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

To find what the number equals we must solve the equation.

3 0

3 years ago

Which equation can pair with x-y=-2 to create a consistent and dependent system?

MrRissso [65]

See the explanation

<h2>Explanation:</h2>

A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:

The given line is:

$x-y=-2$