Learn about arcs and angles in a circle. Learn how to find angles in a circle, and see how the formulas change when angles are inside or outside...
Arc length: Its degree measure is 45° and the radius of the circle is 12, so here’s the math for its length: Pretty simple, eh? About This Article About the book author: Mark Ryan has more than three decades’ experience as a calculus teacher and tutor. He has a gift for mathemat...
So how might you find the area? Turning back to what you learned in calculus, you know that the area of this land is going to be the integral from x=a to x=b of f(x)dx. In this case, a is your lower limit (this is where your land meets the park next door), b is the up...
1, and the upper limit, 3, of the integrand √(1 +[f'(x)]^2) = the integrand √(1 + (x + 4)^2 – 1). which is equal to √((x + 4)^2). By performing the antiderivative on this Integrand, and By the Fundamental Theorem of Calculus, we get... {[(x^2)/2] + ...
To calculate the cube root of any number, the approximation approach known as Halley’s method is employed. Using Halley’s method, the cube root of 10 can be calculated as follows: Halley Formula to Find a Cube Root: \(\begin{array}{l}\sqrt[3]{a}\approx x\left [ \frac{x^{3}+...
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sec 90 degrees is equal to the ratio of hypotenuse and adjacent side of 90 degree angle, in a right angle triangle. q2 what is the value of sec 90°? the value of sec 90° is undefined. q3 find the value of 1/sec 90°. we know that, sec x = 1/cos x or cos x = 1/sec ...
To find the area of the surface of revolution, we can use the formula: A = 2π∫y√(1+(dy/dx)^2)dx In this case, we are revolving the curve about the x-axis, so we will use the formula: A = 2π∫y√(1+(dy/dx)^2)dx where y is the function of x...
In summary, to find the maximum possible error in the computed value of T, we use the formula |E| <= (0.5M)(|x-x0| + |y-y0|)^2 where M is the upper bound of the second derivative of T(x,y) with respect to both x and y. By finding the absolute values of ...
Part of the issue he’s trying to address is how the calculus is done: The partial derivative symbol ∂ had been introduced in the late 1700s. He doesn’t use it, but he does introduce the now-standard-in-thermodynamics subscript notation for variables that are kept...