Consider the following root equation. (DS/DS! 10 040 0X0 9 ƒ(x) = x³ cos () + 6 sin(x) CONS 1OXO OHO Which of the following is the function value of the estimated root after 1 iteration using the false-position method with x₁ = 10 and xu = 40? Select one: a. -12518.6631XO OXO OXO OXO OXO OXO 04%0A%0A%0A%0A%0A%0A%! b. -0.0025 c. 537.0382 d. 563.1978 ○ e. 25.0000 OXO OXO OXO OXO OXO OHO D

Q: through an inductor et. Find the voltage across the re L is the inductance (in H))

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: What is the amplitude y = 3tan2x + 1 А. 1 В. 2 С. 3 D. indefinite

A: The amplitude of the graph is the maximum or minimum value of the graph.  The given equation is…

Q: Find the following. If necessary, round to the nearest hundre Time for one complete revolution: ||…

A:

Q: Evaluate cos(x)ln(1+2)+24.5 1+€1.81z-55.6 answer = -dx.

A: Step 1:According to definite integral rule ∫aa​f(x)dx=0if upper limit and lower limits are equal…

Q: ftan (x}sec"(x)dx Scot (x)csc°(x)dx Ssin (x)cos°(x)dx

A:

Q: I. SOLVING: Find the following derivatives

A:

Q: Find the following derivatives a. 2 tan-(2x²) b. e-3/5 -3/5 + 2x-3/4

A: Solving the problem by finding the derivative of the below function.

Q: determine the value of k which will make h' (π/4)=6 when h(x)=In(cosx)+kx. a. 6 b. 5 c. 0 d. 7

A: Given, hx=lncosx+kx We have to find the value of k for which h'π4=6

Q: H.W Use N.R.S method to solve the f(x) = tan x - x, using x0= 5, and use three iterations.

A:

Q: Given the function f(x) – x² + tanx – 2x (Use radians]

A:

Q: Differentiate each function. 1. y = 2 sin³ n x 2. у %3D csc(x3 — 1) 1- sin x 3. У - 1 + sin x cot x…

A:

Q: . y = - Arcsin÷, where a is a constant. - Va2 -x2 а

A: →ddxuv = vdudx - udvdxv2→darcsintdx =11-t2→Use chain rule of differentiation.

Q: The first derivative of the implicit function sin 2x = cos 2 A. -cos 2x/sin 2x B. cos 2x/sin 2x C.…

A: To find: The first derivative of the implicit function. Given: The given implicit function is…

Q: What is the period of the function f(x) = 2 sin x? %3D

A: Given f(x) = 2 sin(1/2 x) Since for any given sine function of form  A.sin(bx) the period is 2π/b

Q: coth 5.x dx = Select one: a. = = ln |sinh 5x| + C b. cosh¹2√x+1 "()+" c. sinh-1 ○ d. = d. =…

A: Step 1:Step 2: Step 3: Step 4:

Q: Use the Newton-Raphson to find a root of the equation x3 = -cos x. Use an initial guess of x, = 1…

A: The given question is solved below.

Q: Solve the following equation for 0, where 0 <0 < 2T. 1– cos20 sin (-0) COS 2/3 3.

A: We want to solve the given equation in the given domain. Only possible values of theta lies in…