Use the Newton's Divided Difference formula to compute the cubic interpolating polynomial for f(x) = sin() using points xo = 0, x1 = 1, x2 = %3D 2, x3 = 3. %3D

Q: Graph the function y=-sin2x on [-pi,0]

A:

Q: tan Find -dr using integration by parts.

A:

Q: Use a calculator to compute sinhx and coshx for x = -3, 0, 5.

A: We use a calculator to find the values.

Q: Show that J (x) = 2 sin x

A: By definition,                  . Now,  we need to prove the above statement by taking n = 1/2.

Q: 17. f(y) 2 3 your 1³

A: Given, .

Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: The function re* sin(8x) is annihilated by the operator

A:

Q: 8 him XT 2 (secx tanx) 1

A:

Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

A:

Q: (2) GIVEN: f.R- R, Sx) = x²(3x– 1). Find f'(x) in factored form.

A:

Q: Use implicit differentiation technique to find ,if 8z sin y= 5xy+ 2a Answer:

A: In implicit differentiation, we differentiate each side of an equation with two variables (usually x…

Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: * Drive the following function for :(y) (5xy²z)²/³ * (sinxz) 20(sinxz) (xyz) 3(5xy²z)¹/3 A 10(sinxz)…

A:

Q: Let f(x) = square root ( 4x + (3x -5)10 ).Find the equation of the tangent line to the graph of the…

A:

Q: show that sinx less than x if 0 less than x less than 2pi

A: Assume that, fx=x-sinx Differentiate f (x) w.r.t. x, f'x=1-cosx=2sin2x2

Q: Differentiate, hcx) = In (x-Vr

A:

Q: Find f sin ¹xdx -

A: Given query is to find the integral.

Q: Find the number of roots of the function f(x) = 1 (x+1)³ -3x+sinx.

A:

Q: t chawthat (1.1), C6.0), Gesz), (2,-8) are concyclic and find the cruabion of the côncle on which…

A: