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3 years ago

Please help!

Mathematics

1 answer:

MrRissso [65]3 years ago

4 0

Answer:

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Step-by-step 16

16 x 81

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) If the gradient of ff is ∇f=xi⃗ +yj⃗ +3zyk⃗ ∇f=xi→+yj→+3zyk→ and the point P=(−6,−6,−2)P=(−6,−6,−2) lies on the level surface

Paha777 [63]

Answer:

-3x-3y-z=38

Step-by-step explanation:

To find the equation of the tangent plane you can use

$\bigtriangledown f_x(x_0,y_0,z_0)(x-x_0)+\bigtriangledown f_y(x_0,y_0,z_0)(y-y_0)+\bigtriangledown f_z(x_0,y_0,z_0)(z-z_0)=0$

the point P is (-6,-6,-2). Hence you have

$(-6)(x-(-6))+(-6)(y-(-6))+(-2)(z-(-2))=0\\-6x-36-6y-36-2z-4=0\\-6x-6y-2z=76\\-3x-3y-z=38$

hope this helps!!

5 0

3 years ago

Carlos made a scale model of his house. The actual width is 30 feet, and the actual length is 45 feet. If the model has a width

olganol [36]

Hello!

Let's make a proportion:

$\frac{30}{45} = \frac{6}{x}$

Cross multiply

45 × 6 = 270

Divide by 30

270 ÷ 30 = 9

$\framebox {The length is 9 inches}$

3 0

3 years ago

Let T: set of real numbers R Superscript nℝnright arrow→set of real numbers R Superscript mℝm be a linear transformation, and

Klio2033 [76]

Answer:

$\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent set.

Step-by-step explanation:

Given: $\{v_1,v_2,v_3\}$ is a linearly dependent set in set of real numbers R

To show: the set $\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent.

Solution:

If $\{v_1,v_2,v_3,...,v_n\}$ is a set of linearly dependent vectors then there exists atleast one $k_i:i=1,2,3,...,n$ such that $k_1v_1+k_2v_2+k_3v_3+...+k_nv_n=0$

Consider $k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0$

A linear transformation T: U→V satisfies the following properties:

1. $T(u_1+u_2)=T(u_1)+T(u_2)$

2. $T(au)=aT(u)$

Here, $u,u_1,u_2$ ∈ U

As T is a linear transformation,

$k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0\\T(k_1v_1)+T(k_2v_2)+T(k_3v_3)=0\\T(k_1v_1+k_2v_2+k_3v_3)=0\\$

As $\{v_1,v_2,v_3\}$ is a linearly dependent set,

$k_1v_1+k_2v_2+k_3v_3=0$ for some $k_i\neq 0:i=1,2,3$

So, for some $k_i\neq 0:i=1,2,3$

$k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0$

Therefore, set $\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent.

6 0

3 years ago

Cydney built a display stand out of two cubes. The larger cube is 8 inches on each side. The smaller cube is 4 inches on each si

aivan3 [116]

The total area painted was 480 inches. 4 cubed is 64, 8 cubed 512. 512 +64= 576. Then you subtract two sides of the 4 inch square because the bottom is not painted and one side is pushed against the 8 inch cube. That means 576-32= 544. Then you subtract the bottom of the 8 inch cube, which means 544-64= 480.

5 0

3 years ago

What operation is implied between the whole number and fraction parts of the mixed number 4 2/3

agasfer [191]

Answer:

Step-by-step explanation:

7 0

3 years ago