2. Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem(3.3) to determine the step size h so that: a. linear Lagrange interpolation has an accuracy of 10°. b. quadratic Lagrange interpolation has an accuracy of 10°.

Q: A 10,000 litre rainwater tank is to be built in the shape of a cylinder. It must be at most 3 metres…

A: As per our guidelines we can answer only 3 subparts of the given equation. Kindly repost the…

Q: QI: Drawing the Function Y = sin(x) X=0: pi/20 :2*pi and using the line of the color ( Magenta )…

A:

Q: f(x) = -12-21x + 18x^2 - 2.75x^3 what method will give a root of the function equal to - 0.287425 in…

A: We will use a numerical method to determine what will be the value of root of the given function in…

Q: The best suitable method for approximating a zero of the function f(x)=sin x +cos x - x -1 is:…

A: Plot graph of the function:

Q: y = tan 8' [0, 2]

A:

Q: of of and da For the function f(t,a) = sin (4rt+ 7a), find - at

A:

Q: A. Verify Clairaut's Theorem for the given function: F(U,W) = Sin(UW)- 4U?w2 %3!

A:

Q: Find the vertical asymptote for the function y=3 sec 1/2x in the interval (0,4 pi)

A: The given function is y=3sec12x ; 0,4π

Q: 11. Find the (absolute) extrema of each function on the given interval. a) f(x) = Vr +1-2, (0,4]. |

A:

Q: Consider the function f(x) = 3 sin (r). Find the equation of the line tangent to the curve f(x) = 3…

A:

Q: For the given function P = xyz – 2y²+ x²z² find the div grad 9 at point (8,5,4).

A:

Q: Use the linearization of f(x) = sin x about an appropriate point Xo to approximate sin 610. Note…

A:

Q: Given the function f(x) – x² + tanx – 2x (Use radians]

A:

Q: 3. Sketch these functions and find their domain and range. a) f(x) = √√3x b) y = x³

A:

Q: Find the Max and minimum of the following function: f(x) =sin(4x)on[0, π/2] a. identify what test…

A: To find the maximum and minimum values of the function f(x)=sin(4x) on the interval [0,2π​], we will…

Q: 1 cot-¹(-√3)

A:

Q: Exercise 1. A student is asked to prove If m is even and n is odd, then m² + n² is odd. 2 The…

A: Let us answer above questions

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: