Approximate the following integral using the indicated methods. Leave your answers in "calculator-ready" form.

∫e^(−4x^2)dx from 0 to 1

(a) Trapezoidal Rule with 4 subintervals

b) Midpoint Rule with 4 subintervals

(c) Simpson's Rule with 4 subintervals

(d) With f(x)=e^(−4x^2), It can be shown by direct computation that|f(4)(x)|≤192 on the interval [0,1]. Using this information and the error formula:

E(n)≤M(b−a)^5/(180n^4)

what is the least value of n so that the Simpson's Rule approximation for the given integral is guaranteed to be accurate to within 0.00001?

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

a² + b²= c²

24² + 7² = c²

c= 25

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

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