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USPshnik [31]
3 years ago
11

How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between

x=1 and x=b is equal to 240?
Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0
The Fundamental Theorem of Calculus regarding geometry states that 
\int\limits^b_a g{(x)} \, dx = F(b)-F(a)

Where F is the indefinite integral of g(x)

The first step is to integrate g(x)
\int\ {4x} \, dx = \frac{4x^{1+1} }{1+1} = \frac{4x^{2} }{2} =2 x^{2}

Then substitute the value of b and a=1 into 2x^{2}

[2 (b)^{2}]-[2 (1)^{2}] = 240
2b^{2} -2=240
2b^{2}=240+2
2b^{2}=242
b^{2}= \frac{242}{2}
b^{2}=121
b=11

Hence the limit of the area under g(x) is between a=1 and b=11

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mart [117]
<span> its D -The difference has 4 terms and a degree of 7.</span>
3 0
3 years ago
−2 1/2 −5 3/4 The distance between the two numbers is
emmainna [20.7K]

the answer to this question is -7.25 or 7 1/4

5 0
3 years ago
HELPPPP DUE SOON!!! WILL MARK BRAINLYIST AND 10 POINTS
larisa86 [58]

Answer:

688.7

Step-by-step explanation:

Top and Bottom

Area = 3/4 * pi * r^2

r = 6

Area = 3/4 * 3.14 * 6^2

Area =                                                               84.78

Don't round yet.

Vertical surface

Vertical surface = 3/4 * pi * d * h

d = 12 inches (the diameter)

Vertical surface = 3/4 * 3.14 * 12 * 15

Vertical surface =                                          423.9

Two inner faces

They are both rectangles

Area = 2 * L * W

L = 15

w=6

Area = 2 * 15 * 6                           <u>                  180</u>

Total                                                               688.68

Total = 688.7

7 0
2 years ago
What’s the answer I don’t understand
Scorpion4ik [409]
Your answer is D. All of these statements are true.
5 0
3 years ago
Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r
zlopas [31]

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

8 0
3 years ago
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