(f+g)(x)=f(x)+g(x) = x³-x +x³ +2x²-10=2x³ + 2x²-x-10
(f+g)(x)=2x³ + 2x²-x-10
Answer: From the 60° angle, the flagpole is the opposite side and the shadow is the adjacent side of the triangle.
tangent 60° = opposite/adjacent
so
tan 60° = 20/x
multiply both sides by x and you have
x · tan60° = 20
divide both sides by tan 60° and you have
x = 20/tan60°
x = 11.5 ft.
if this is wrong sorry don’t be mad but if it’s right then hope this helps
Given z=f(x,y),x=x(u,v),y=y(u,v), with x(1,3)=2 and y(1,3)=2, calculate zu(1,3) in terms of some of the values given in the tabl
stich3 [128]
The value of zu(1,3) using the data elements represented on the table of values is q + p
<h3>How to solve the calculus expression?</h3>
The given parameters are:
z = f(x, y)
x = x(u, v)
y = y(u, v)
Where
x(1, 3) = 2 and y(1, 3) = 2
To calculate zu(1,3), we make use of:

The values x(1, 3) = 2 and y(1, 3) = 2 mean that:
(x,y) = (2,2).
So, we have:

From the table of values, we have:




So, the equation becomes

Evaluate the product

Hence, the value of zu(1,3) is q + p
Read more about calculus at:
brainly.com/question/5313449
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Answer:
Step-by-step explanation:
Total number of tools for both = 564.
Dr Brown used 386 tools for 6 experiments.
average number of tools per experiment used by Dr Brown = 
= 64
Dr Rachal used 236 tools for 8 experiments.
average number of tools per experiment used by Dr Rachal = 
= 29
i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64
)
= 2.7668
Dr Brown can do two more experiments.
The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29
)
= 11.1186
Dr Rachal can do 11 more experiments.
ii. Number of tools left after Dr Brown's experiments = 564 - 386
= 178
Number of tools left after Dr Rachal's experiments = 564 - 236
= 328
5
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Total books borrowed = 8+4 = 12
No. of non - fiction books = 7
No. of fiction books = 12 -7
= 5
To learn more about linear equation , refer to brainly.com/question/26310043
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