For the sinusoidal function y=−9cos[3(x−π/5)] determine each of the following: amplitude =    period =    phase shift =

Q: Find dx implicitly, if e*(e- 1) + sin(2x + 5y) = In(v7) -- cot(2x) y+2

A:

Q: A particle travels along the x-axis such that its position is given by x(t) = t0.4 cos (3t + 4).…

A: The objective of the question is determine the speed of the particle.

Q: Solve the given diffential by variations of parameters 1. y" + y = cos x

A:

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t cos (2t). What is…

A:

Q: Find the smallest positive root by using Newton-Raphson Method \( f(X)=cos(2x)-x^2 \) with two…

A: To find the solution

Q: Q1: Find dy/dx for the following functions (solve four only):- (1)5 + 5*y = In sin- e* (4) y =…

A:

Q: On a particular summer day the temperature function in Celsius is given by (7) T(t+7) T(t) = 20 + 8…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. If the…

Q: 1. Calculate for one real root of tan x = 4x with 0 = 1.2 co up to four decimal places using the…

A: We need to find one real root of  tanx=4x with initial guess x0=1.2 upto four decimal places using…

Q: Find all the solutions to sinh z = 0

A: Introduction: There is an exponential expression for the hyperbolic function. The expressions for…

Q: The change in heat radiated by a body, detected by a pyrometer (non-contact temperature sensor), is…

A:

Q: for the following function: Find dx 1- y = sin-1 V2x + 3 2- y = 3cot(cosx)

A: Since you have asked multiple question, we will solve the  two questions for you. If you want any…

Q: 1. Calculate for one real root of tan x = 4x with xo = 1.2 up to six decimal places using the…

A:

Q: For each of the following problems differentiate the given function. 1. T(=)=2 cos()-6cos ()

A:

Q: tanr sec r dx 3

A: Here we will find the antidarive.

Q: Find a possible formula of the form A sin t + k or A cos t + k for the periodic function with a…

A: Given formula is: A sin t + k or A cos t + k

Q: 5. Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: The given parametric equations are, x=t3+cosπt, y=4t+sin2t+6. Find the equation of the tangent to…

Q: 1. Calculate for one real root of tan r 4x with ro 1.2 up to four decimal places using the…

A:

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

A:

Q: Given the function y=sinx-2 for 0°<xS180° 5.4.1 Draw the graph on its own system of axes on the…

A: According to question,Given function,y = sin x -2,where,0o ≤ x ≤ 180o,

Q: 3. Find the derivative y for each of the following: (a) y = V³ – V73 + 1; Answer: 1+ cos 6r 1+ 6x…

A:

Q: Find the solution(s) of the equation sin (x + 1) = v2 cos e within the interval 0 < x < 27.

A:

Q: Q1: Find dy/dx for the following functions (solve four only):- 4) y = cosh[sin-'(x²Inx)] (5) y =…

A: Here are the step by step solution of the given problems:

Q: Q1-Find dy / dx for the following functions: -2 2.8ln2 Cosh9x Y= 4 3 2 * Inxy cos0 log, 2

A:

Q: 15. (a) Calculate e with an error of less than 10-6. (b) Estimate the error in the approximation…

A: a. Let fx=ex We know that the Maclaurin series is fx=ex=1+x+x22!+... The remainder term is…

Q: 4. Find when dx tanx a. y e, giving your answer as a function of y. b. y- In(xvx-1), x> 1 sinx-cosx…

A:

Q: Differentiate the expression y = e* cos x²

A:

Q: Two particles start at the origin and move along the x-axis. For, 0 <t< 10 their respective position…

A: Given, x1=sint , x2=e-2t-1 ,0≤t≤10 To find the velocity, Differentiate with respect to t we get,…

Q: Find the equation for a sine function with: 32 • Amplitude = 3 • Period = • Phase shift = (-) n •…

A:

Q: Given sin r + e - 2 0. Using the rearrangement = In(2 – sin z) with 0.5, what is the value of a5…

A:

Q: Find the linear approximation to f (t)= cos(2t) at t =1/2. Use the linear approximation to…

A:

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

A: Given that sinhθ=32 We know that cosh2θ-sinh2θ=1 ⇒ cosh2x=sinh2x+1 cosh2θ=322+1=34+1=74 coshθ=72…

Q: Find the value of -4t e cos(4t) dt.

A:

Q: Find a possible formula of the form A sin t+k or A cos t+k for the periodic function with midline y…

A: The standard equation of any sinusoidal curve is given by  y=Asin(B(t-C))+D      or…

Q: Draw the following function (y = t * sin (t). * Sin (t) if you know that the t-values range from…

A: given function is                                                 y=t sint,    0≤t≤2π graph is

Q: 4) Given y = 3 sin 2x, Find the Amplitude Interval and Period (n2, 0) (0. 0) Amplitude interval =…

A:

Q: For two short dipoles oriented along the z-axis and placed 0.4 wavelengths apart, calculate the…

A:

Q: -. For the function f(x) = 2sin(T(x – 1)) + 1 , find the following:

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: dy cosh x dx + (sinh x)y = e-x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the slope of the tangent line to the path of a carnival ride x 7 cos() + sin(7t), y = 7 sin() +…

A: Given  x=7cos(t)+sin(7t) y=7sin(t)+cos(7t) We need to find the slope of tangent at t=0

Q: ind the second derivative (y") of the following function step-by-step and simplify the nal results:…

A:

Q: The function that describes this oscillation in time is of the form Y (t) = eat (2 cos(bt) +…

A: Given Function, y(t) = eat (2cosbt + sinbt) ....................(1) And Quadratic Equation, mx2 +…

Q: Find the smallest positive value of t. sin(2#t) = 4

A: Given sin2πt=32 To find the smallest positive value of t let 2πt=sin-132

Q: Find dy Idx for the following implicit functions : y2.cot x = [sin(x. y)]-1

A: Given y2cot(x)=[sin(xy)]-1            =1sin(xy)            =cosec(xy)          ∵1sin(x)=cosec(x)By…

Q: dy sin(y) - 4t with initial condition y(0) = 2 dt |3D Apply the forward Euler method with a step…

A: Since the given differential equation dydt=sin(y)-4t, y(0)=2 is in appropriate form for Euler's…

Q: Given: = 0 – sin 0; y=1– cose Find: dz2

A:

Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The given indefinite integral ∫1+cos4t2dt can be evaluated as, ∫1+cos4t2dt=∫1+cos2tdt…

Q: For what value(s) of x in the interval -15 sxs -5 will the sinusoidal function shown below have a…

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: Q4) Find the derivatives for the following: 1) y? + 3x? – tan-(3x – 12y) = 7n 2) y =…

A: Given,  (1) y2+3x2-tan-13x-12y = 7π    (2) y = sin-1xlntan6x   We have to find the derivative of the…