6. Integrate the following a)sin x (between x = 0 and 2 pi) b) x4 Sinx
QUESTION 17 Find the integral. - sin x cos xdx - sinox +C 6 - sinx 5 + sin 5x 5 +C sinx -C
Simplify: sin(2pi+x)-sinx
Find the general solution to the differential equation
dx sin χ xdy +3(y +x*) = sinx
dx sin χ xdy +3(y +x*) = sinx
An alternative way for calculating sin(x) is to use its Taylor series as the following: sinx)x-+ Create a function named "sin_taylor" in MATLAB. This function takes two inputs. First input is the angle, and the second input determines the number of terms in Taylor series for approximation. Check the fidelity of your function by running sin-taylor( 7) and compare it with the exact value of it. Hint: “factorial" is a built-in function that you can use for calculating factorial of...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
prove it
7. Sinx dx=- Cosx +C 8. Cosr dx=Sinx + c Sx dx = x 1+1 10.Sa*dx = a In a
find the first three nonzero terms of the Maclaurin exapnsion
kf the function. f(x)=7 sin x
Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 7 sinx What is the first nonzero term of the Maclaurin expansion of f(x) = 7 sin x? 囗 What is the second nonzero term? What is the third nonzero term?
Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 7 sinx What...
By using it, show Find the Maclaurin series for sin X. sinx that lim as X → 0 equals X 1.
7 Consider the region bounded by y = sinx, y = cos x, x = 0, and x = Find the volume of the solid generated when the above region is revolved about 3-axis. Detailed drawing required. a b Find the volume of the solid generated when the above region is revolved about y -axis. Detailed drawing required. Hint: S = sin xdx = sin r - 100+, S roos edat = cos I+rsins + c.