Determine and classify all the singularities of the below-given functions. 1 i. ii. (2 sinz - 1)² 2 (e – 1) iii. cos (2²+ z(-2)) iv. tan ¹ (22 + 2z + 2) 2 (ez – 1) V.

Q: b. Prove that 2cot (20) = cot(0) - tan(0)

A: To prove the identity.

Q: Find (f-1)'(a). f(x) = 3x³ + 2 sin x + 3 cos x, a = 3 (f-1)'(a) = Need Help? Read It

A: Given:- f(x) =3x3+2 sin(x) +3cos(x)  To find:- (f-1)'(a)

Q: X 6. Compute the derivative of 21. x²+1° O zx O O x²+1 1-x² (x²+1)² O=1+x² x² +1 ONone of these

A: To find the derivative of given function

Q: 1 COS x dx X - sin x | C. #55. 2)

A:

Q: Suppose that an object in motion has position function s(t) = t² cos(5t) where t is the number of…

A:

Q: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

A:

Q: Let f(x) : 1 + 3x – 4 and let h be the inverse function of f. Notice that f(-2) = –14. h'(-14) =

A: If , then  . Use this fact to evaluate the expression, .

Q: 9. 1) Find the period, amplitude, and some key points of the function f(x) = 2 cos 2x-1 2n); (0 x de…

A: To determine the standard parameters of the given trigonometric function f(x)

Q: Calculate A2. Use the trigonometric identity sin?(0) = ÷(1 – cos(20)). 1 A2 (6 sin(0))² do %3D 2 *…

A:

Q: Use the triangle to express 8 as a function of y. 10 08 = sin() 0 8 = sin n-¹(10) 0 0 = cos 1¹ (1)…

A: We can find the correct option in the below steps.

Q: Find the value of f(-1) when f(x) Select all that apply 1. f(-1) 2. f(-1) = 3. f(-1) 4. f(-1) = = =…

A: To find the value of f-1 when fx=3 tan-1 x-5 sin-1 x

Q: Find the derivative of the function. s= sin O A. О в. Злт 2 32 Зл 2 COS Зл OD. cos COS 0 с. COS 2…

A: Given data

Q: 2. A diner is open from 6 a.m. to 6 p.m. and the average number of customers in the diner at any…

A:

Q: 15. Evaluate | sin° x cos xdx 3

A: