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Serhud [2]
3 years ago
6

If f is a smooth function, then curl(gradf) = 0 i  + 0 j  + 0 k  . true or false

Mathematics
1 answer:
kifflom [539]3 years ago
7 0
The correct answer for the given statement above would be TRUE. Yes it is true that if <span>f is a smooth function, then curl(gradf) = 0 i  + 0 j  + 0 k. I hope this is the answer that you are looking for. Thank you for posting your question in brainly. </span>
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Consider the expressions 7y + 5 − 3 and 7y + 2. Which statement is true?
romanna [79]
The two expressions are equivalent because they have the same value regardless of the number of substituted in for y
4 0
1 year ago
Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.
user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = 1 yd^{2}= 1296 in ^{2}

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

6 0
3 years ago
Read 2 more answers
A person is 2 meters tall casts a shadow 6 meters long. At the same time, a flagpole casts a shadow 24 meters long. How tall is
Alexandra [31]

Answer:

8 meters

Step-by-step explanation:

Given that:

Height of person = 2metres

Length of person's shadow = 6 meters

Height of flagpole =?

Length of flagpole shadow = 24 meters

Height of person = length of person's shadow

Height of flagpole = length of person's shadow

2 = 6

x = 24

Cross multiply

6x = 48

x = 48 / 6

x = 8 meters

4 0
2 years ago
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

8 0
3 years ago
Assume that the function f is a one-to-one function, (a) f(8) = 9, find f ^ -1 (9)
Annette [7]

(a) since we are given that f(8) = 9, the inverse of 9 is simply 8. Therefore, f^-1(9) = 8.

(b) Again, f is the inverse of f^-1, therefore, you simply switch numbers, and you get that f(-3) = -7.

8 0
3 years ago
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