EXPLANATION
 If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:

Replacing terms:

The approximate area is 37.7 in^2
 
        
             
        
        
        
X=12 
0.75x + 5=14 
Take away 5 on both sides 
So 0.75x +5-5=14-5
0.75x=9
0.75x divided by 9 = 12
        
             
        
        
        
By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.
<h3>How to estimate a definite integral by numerical methods</h3>
In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:
∫ f(x) dx = F(b) - F(a)     (1) 
The steps of Euler's method are summarized below:
- Define the function seen in the statement by the label f(x₀, y₀).
- Determine the different variables by the following formulas:
 
 xₙ₊₁ = xₙ + (n + 1) · Δx     (2)
 yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ)     (3)
- Find the integral.
The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:
y(4) ≈ 4.189 648 - 0
y(4) ≈ 4.189 648
By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.
To learn more on Euler's method: brainly.com/question/16807646
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Answer:
The amount of calories Lucie will burn by jumping for 1 minute is 8 calories
Step-by-step explanation:
The given data values are;
Minutes  Calories Burned
                  Calories Burned
40                 320
            320
80         640
                    640
120  960
                          960
160  1280
                          1280
The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;
40 minutes of jump rope will yield 320 calories burnt 
Therefore we have;
1 minute of jump rope will yield 320/40 = 8 calories burnt
The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.
 
        
             
        
        
        
<span>If 7 dancers were at a dance and 46 more came in and h left and there was 13 dancers left how many was h
</span>-  h is 70.