Approximate the value of f"(2.156) if f(x) = 2tan(x) + %3D cos(2x). h = 0.003 %3D O -18.22610955 O 8.396938164 O 8.424277328 O -18.51527191

Q: oulsy od bnil )=8), calculate the xp 8 Given that %3D value of [2x-g(x)] dx. (*)8 = (

A:

Q: X-1 (x - 2)² 5. S dx

A: We have to evaluate the integral.

Q: 1.4 Use implicit differentiation method to find day of the function d²y dx² 1 + (xy)² = cot−¹(x y)…

A: Explanation:Product ruleQuotient ruleChain rule Power rule1.4) Given,differentiate  with respect to…

Q: .3 Find the derivative of the function f(s)= 12s³+ 5secs. a. f'(s)=36s² + 5secs · tans b. f'(s)= 3s²…

A: We have to find derivative

Q: Use backward-difference formula to evaluate the first derivative of y = cos(x) at x = using a value…

A:

Q: 2. S2² 52. x² sin 2x dx

A:

Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 8, tan (tan 9.

A:

Q: Evaluate csch- x dx , 0 < x < 1

A: To find the integration of following csch-1x

Q: 3. If f(x) X-x find F(tanx) 1+x2

A: 7.The given limit is: limx→-∞x23x2-4x+1 To evaluate the value of the limit.

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: an=y TE TT/2 COSX, Cosnxdy

A:

Q: Compute central difference approximations for the first derivative of the function, y = cos(sin(x)+…

A:

Q: Find the derivative of the function tanh-e* A. -1/2 csch x B. 1/2 csch x C. -1/2 csch 2x D. -1/2…

A:

Q: cos x + tan x for small values of x , in the vicinity of x = 0

A: Given that y=cosx+tanxtaking derivative with respect to xy'=-sinx+sec2xat x=0y(0)=1y'(0)=1

Q: Which of the following are true regarding the first derivative of the function f(x) = cos √x at x =…

A: Given: Function fx=cosx is given. To Find: One needs to evaluate the first derivative using forward…

Q: Which of the following is an/are anti-derivative(s) of – 36 cot (18x) cosec? (18x) |18cosec? (18æ)…

A:

Q: Which of the following are true regarding the second derivative of the function f(x) = cos √xatx=2?…

A:

Q: 4 S. x* - 6 dx = 14

A: Let, I=∫x4−6x14dx ⇒I=∫1x7x4−6dx ⇒I=∫x2x71−6x4dx ⇒I=∫1x51−6x4dx

Q: 18. f(tan 2x + cot 2x)² dx

A:

Q: 7/2 79. Prove that 0< sin x dx < Ja/4

A:

Q: Approximate the value of f'(0.50) if f(x) = 5ln(3x) + 6cos(3 - 7x) Using Centered Differencing. h =…

A: Given equation is f(x) = 5ln(3x) + 6cos(3 - 7x)

Q: dn Find a general formula for den by identifying a pattern in parts (a) through (c). To begin,…

A: We use the given details and differentiation formula to find answer

Q: /3 dx cos x tan x /4

A:

Q: Calculate y' given y below. (a) xey = y − 1. (b) y = (cos x)^x (c) y =(√sin^3(√2x))

A: a). Differentiate separately both sides of the equation (treat y as a function of…

Q: Which of the following functions are of exponential order? 1. e³t^2 2.4t³-9t+11 3. Sinh(t2)…

A:

Q: Step 2 Now, . 유 sin (플)dr cos h(1 Lx)–I %3D =L (cos h (11x) – 1)dr a cos h (11x)dx – L" Idx sin h…

A:

Q: Calculate 1 10 1 x² dx.

A:

Q: by using gamma function x-1/3e-8x dx 8

A: Given integral is ∫0∞x−13e−8xdx We have to evaluate ∫0∞x−13e−8xdx by using gamma function. Let 8x=y…

Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

A: The given function is: y=csc(3x)sin(3x)+cos(x)  =csc2(3x)+cos(x) To find the derivative of it:…

Q: cos (1/x) dx ∞ o COS 21. 12

A: