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Margaret [11]
3 years ago
7

Use the "mixed partials" check to see if the following differential equation is exact.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0

Answer:

The equation is exact

F(x,y) = 3x4/4  - 3xy -y2

Step-by-step explanation:

The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.

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What is the area of the composite figure
lara [203]

Answer:

Area of composite figure = 216 cm²

Hence, option A is correct.

Step-by-step explanation:

The composite figure consists of two figures.

1) Rectangle

2) Right-angled Triangle

We need to determine the area of the composite figure, so we need to find the area of an individual figure.

Determining the area of the rectangle:

Given

Length l = 14 cm

Width w = 12 cm

Using the formula to determine the area of the rectangle:

A = wl

substituting  l = 14 and w = 12

A = (12)(14)

A = 168 cm²

Determining the area of the right-triangle:

Given

Base b = 8 cm

Height h = 12 cm

Using the formula to determine the area of the right-triangle:

A = 1/2 × b × h

A = 1/2 × 8 × 12

A = 4 × 12

A = 48 cm²

Thus, the area of the figure is:

Area of composite figure = Rectangle Area +  Right-triangle Area

                                            = 168 cm² +  48 cm²

                                            = 216 cm²

Therefore,

Area of composite figure = 216 cm²

Hence, option A is correct.

4 0
3 years ago
What’s equivalent to 2(3 - x) - 12 + 4x
anygoal [31]

Answer:

2(3-x)-12+4x

6-x-12+4x

6-x-8x

6+8x =

14x

Step-by-step explanation:

3 0
3 years ago
Which expression has a negative value? 7+3(-4)(2) -2[12/(-3)] (15-7)-(9/3) -5[7+(-14)]-30
denis23 [38]

Answer:

7+3(-4)(2) -2[12/(-3)] (15-7)-(9/3) -5[7+(-14)]-30= 49

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Put the numbers in order from least to greatest.
butalik [34]
None of the answers are correct because it would be 4, 10, 12, 17, then 41
3 0
3 years ago
Consider the function. f(x)= -2/3x-24 Which conclusions can be drawn about f–1(x)? Select two options. f–1(x) has a slope of -2/
disa [49]

Answer:

(D) f^{-1}{(x$) has an x-intercept of (-36, 0).

(E)f^{-1}{(x) has a range of all real numbers.

Step-by-step explanation:

Given the function: f(x)= -\dfrac23x-24

f(x)+24= -\dfrac23x\\$Multiply both sides by $  -\dfrac32\\x=-\dfrac32(f(x)+24)\\f^{-1}(x)=-\dfrac32f(x)-36

When y=f(x)=0

f^{-1}(x)=-\dfrac32(0)-36\\f^{-1}(x)=-36

Therefore, f^{-1}(x)$ has a x-intercept of -36

Also, f^{-1}(x) has a range of all real numbers.

Therefore, Options D and E are correct.

5 0
3 years ago
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