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: DERIVE THE FF. FUNCTIONS: )y (x*+x+1)*: FwO y"

A:

Q: Use the function f(x)=x",x>0 to determine the bigger of the two numbers e' and a

A:

Q: The height above the ground of a rider on a Ferris wheel can be modeled by the sinusoidal function…

A: The height of a rider on a ferris wheel can be modelled by the sinusoidal regression function…

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

A:

Q: Find the length (in units) of the curve y =    16 − x2between x = 0 and x = 2.

A:

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: Using Newton's Method, the extremum of the function 3 y =x - 4r -6 is:

A: To find the extremum of the function we need to find the critical values by solving y'=0.…

Q: Find the length of the curve y = In(1-2) over the interval

A:

Q: Find the exact values of x in the interval [0, 3pie] that satisfy the equation sinx= -1/2

A:

Q: Consider the function f(x) = sin2 (x) − sin(x), 0 ≤ x ≤ 2π.    Find the intervals of increase and…

A: Consider the function f(x) = sin2(x) − sin(x), 0 ≤ x ≤ 2π.  Find the intervals of increase and…

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: 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: f(x) %3D 2х4 — + 3 f(x) = 2x* 5.6х3

A:

Q: dw at (u,v) = (5,4) for the function w(x,y) = xy – y; x= u – v, y= uv. Evaluate du O A. 21 O B. 1 O…

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: Find for the following functions: (4) y = x sinh 2x --cosh 2x (2) y = tan³√/cot(7x); (3) y= sin Imvr

A:

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: