iven the function f(x) = x² + tanx – 2x [Use radians] d the zero near x=-0.5 using Newton-Raphson method. Use 4 decimal places.

Q: V3 B) If sinh 0 Find cosh 0, tanh 0, coth 0. 2 = %3D

A: Given,  sinhθ = 32  We have to find coshθ, tanhθ  and  cothθ.

Q: Find the derivative of the function

A: Given expression

Q: 7. S(2 + tanx)²dx

A:

Q: Find the local extrema of the functionf(x)=x/2−arctanx.

A:

Q: Q3 Use Secant Method to find the root of the function. F(x)= cosx + 2sinx + x^2 to 5 decimal places

A:

Q: Find the period of the function f(x) = sin(1.05x).  Provide 4 decimal places.

A:

Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

Q: FInd the intervals in which the function f(x) =sin(logex) +cos(logex) is decreasing

A: Given function is, f(x)=sin(logex)+cos(logex)

Q: Let f '(x) = sinx - cos x. Where does the relative extremum value of occur? (a). 플 (b). (d). 프 (c).

A:

Q: b) f (x)=(2x-1ifxsI

A:

Q: If f(x) = 4 cos(2 ln(x)), find ƒ'(x). Find f'(5) rounded to 3 decimal places.

A: Given function f(x)=4cos(2ln(x))

Q: Consider the function f(x) = 2x – 3x? – 36x + 54. a. Find the first derivative. f'(x) b. List any…

A:

Q: aluate 9/ sin(x) cos(x) dx by four methods.

A: Here we want to perform the given integral according to each of the methods mentioned.

Q: How many periods of the function y = sin x are there between -10T <0<6T ?

A: Given that y=sinxTo find : number of periods in interval  -10π≤x≤6πSolution : period of sinx is 2πin…

Q: Differentiate the function F(t) = arcsin(ln(t)) · arctan(3t²) – arccos(/2). You do not need to…

A: Simplify the given function F(t).

Q: 7T Find the derivative of f(x) = 2 cos (x) +9 sin (x) at the point z = Provide your answer below:

A: Given that        f(x) = 2 cos(x)+ 9sin(x) Here we have to find the derivative of f(x) at the point…

Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

A:

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

A:

Q: Find all æ values on the graph of f(x) = 2x – 4 cos æ for 0 < a < 2n where the tangent line has…

A:

Q: Find the absolute extrema of the function on the closed interval. y = 9 cos x,    [0, 2?]

A:

Q: (c) Use implicit differentiation to find y'(x) for (5+ y?) = x°y+ 4. Show all steps in your process.…

A:

Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d? 8 cos (1) =…

A: To find,  d2 dt28 cos2(t)

Q: Accurate to 5 decimal places and in 0% approximate error, find the root of f(x) = sin x - 1/3 x, in…

A: The given function is fx=sinx-13x in the interval 2,2.5. Calculate the Accurate to 5 decimal places…

Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: Find exact value(s) for x such that 3e" - e' = 0.

A:

Q: 3. Evaluate tan¹x² 1+x dx.

A:

Q: Q:: Find for the following functions: - dx 1- y = tan/2\2x+ 7 (x²+x)(x²-x+1) 2- y =

A:

Q: II Find the second derivative(y") of the following functions and simplify the final results. 1.…

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: For what x-value (approximately) does the function f(x) = sin(x) – x reach height -2? (Use a = 2 as…

A:

Q: The height of an arch above the ground is given by the function y = 11 sin x for 0sxSr. What is the…

A: This question can be solved by applying the formula of average height of an arch.

Q: Differentiate the function. y (x) = esin 2x + sin(e2")

A: It is given that, yx=esin  2x+sine2xWe have to differentiate the given function.

Q: B) The Value of the integration for the : below function shown is sec²2xdx [

A: Let's solve given  integration.

Q: Differentiate the function.

A: Consider the following equation: y=e-2tcos4t Differentiate y with respect to t: dydt=ddte-2tcos4t…

Q: Find the root of the function f(x)=sin x +xe* between -3 and -4. using secant method ɛ = 0 %3D

A:

Q: Integrate the given function. 0.9 x? cotx° dx 3 0.5 0.9 x cotx° dx = 0.5 (Do not round until the…

A: Given integral is ∫0.50.9x2cotx3dx. Substitute x3=u ⇒x2dx=du3 And limit of u will be u=0.125 to…

Q: Evaluate dx 2. f 1-tanh x

A:

Q: Q4. Find an antiderivative F(x) of the function f(x) = 7 sinx / 13 + cosx , such that F(0) = 1.

A:

Q: Find the surface area of a sphere of radius 5 by rotating the graph OI the function x2 between x =…

A:

Q: Q1) Find the derivative a) f(x) = arctan (e-2x) b) f(x) = [arcsin (2²)]³ C) f(x) = tan (lnx) + 52²

A:

Q: iven: ƒ (x) = Ax? + Bx where A 6 and B= 5 ind: f' (x) using LONG METHOD DERIVATIVES.

A: We can find the answer as below

Q: 1. What is dx [the function is f(x) = 1]?

A: To evaluate:

Q: Find the relative extrema of f(x) = 1/2x − sin x in the interval (0, 2pie ).

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ − x + y = 0 (b) x…

A: 4x3y2+x4y3-x+y=0Differentiating both sides and isolating y' we…

Q: 5cos³ (x) Find the derivative of y + tan²(3x² – 4x) – csc(v2x – 1 )and express your sin(3–2x) answer…

A:

Q: find all possible functions with the givenderivative. y' = sin 2t + cost/2

A: we have to find all possible functions with the given derivative y'=sin2t+cost2. the given…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

A:

Q: Q/ Find to the following functions: dx 1- sinh (x² + 7x + 12) 2- cosh²(17 – 4x²)

A:

Q: Q2. a) Find the 5th derivative of xʻsin4x (hint: it is simplest to use Liebnitz's theorem)

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: k. f(x)=cosh(x³)+ sinh(10x) 1. f(x)=In(x* +1)

A:

Q: QS:-Find the first order derivative of each of the following functions: a) y = etan"x + In (sin-x)…

A: