D. State the amplitude of the given function f(x) = 5 sin [ 4 (x – 30°)] - 2

Q: dy Q3) Find of the function y = cos (5 sin (-)) dx

A: To find dy/dx of the given function

Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

A:

Q: Find the correct estimation of the value tan-1(2) by using Simpson's Rule with n = 4. A.) 1.1384 B.)…

A: Simpson's 1/3 rule ∫abf(x)dx≈h3(f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x3)+ ⋯ ⋯…

Q: Q3 Find f cos (x)dx ?

A:

Q: dp Find dx given p(x) = (sin?(3x))(3x²-4*)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g' The Power rule;…

Q: Solve the tollowing D.E Y+49= cos X sinx %3D

A: The given equation is a second order linear, non-homogeneous differential equation with constant…

Q: Find of the following functions. dx (a) y = sec(6a?) (b)y = sinbx+ cos5x (c) y = cot-'(v6 – x²)

A:

Q: For the function f(x) = 3 cos(2x + 7), a. The period is: b. The amplitude is: c. The phase shift is:

A:

Q: Given

A: Here, we compare given f(x) to a sin(bx+c)+d

Q: dx a sin x+b cos x

A: Given problem:-

Q: The amplitude of y = sin x is ____________________ units.

A: Topic = Functions The amplitude of y = sin x is 1 unit.

Q: Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

A: Note: According to bartleby we have to answer only first question please upload the question…

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

A:

Q: Find a particular solution Yp = A cos wt and enter the amplitude factor A rounded to 4 decimal…

A:

Q: , - T<x<0 let f(x) : „sketch and find a n sin x 0<x<T

A: handwriting solution

Q: d e) (In|sin x)) dx

A:

Q: 14. Given the function y = 2 sin(3x) + 1, what is the amplitude of its graph? a. 3 b. 2 c. 1 d. 0

A:

Q: 10. f sin x dx 25+cos²x

A:

Q: (c) Show that e* sin(x²)dx < e – 1.

A:

Q: The value C in y = sin (Bx +C) is called the _________.

A: The given equation is y=sinBx+C

Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

A:

Q: Evaluate ∫ a cos x dx and ∫ a sin x dx, where a is a constant.

A: Given∫a cos x dx

Q: Consider the function Vx² sin? COS X - X f(x) = Vx-1 sin ++1 Determine f'(0.25) using 3 point…

A: In this question, we need to determine f'(0.25)  using 3 point central difference with h=0.01.…

Q: Which of these will represent u in the function * y= sin -1 Vx2 + 3x + 4? Sin-1 а. du V1-u?

A: Using definition of composite function.

Q: The amplitude of F (x) = } sin is %3D 1/2 2 4

A:

Q: Find a particular solution Yp A cos wt and enter the amplitude factor A rounded to 4 decimal places.

A:

Q: Q2\Find T.E of the function f (x) = sin 2x when a =1?

A: Given that  f(x)=sin(2x) at a=1  To find the T.E

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

A:

Q: t/2 Find the value of sin(2x) sin(x) dx.

A:

Q: The velocity, v ms-1, of a fairground ride t seconds after it begins is given by v = (3e-t + 7)sin t…

A:

Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

A:

Q: -2t L{e cos? 21

A:

Q: For a cosine function with amplitude A=0.75A=0.75 and period T=10T=10, what is y(4)y(4)?

A:

Q: Find the amplitude for the periodic function 6y=sin(9x). A. -6 B. 1/6 C. 6 D. 9

A:

Q: Find the value of Sin-1x + Cos-1x where x e [-1,1] В. п c. А. 1 D. 0

A: Since we are given with multiple number of questions and our guideline is solve the first question…

Q: The appropriate change of variables for the dx is Vx²-4 x=2 cosØ O x=2 sec Ø O x=2tan Ø O x=2 sineØ

A:

Q: dx 5) prove that sin x+c using method of trigonometric substitution. %3D

A:

Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

A:

Q: Find of the following functions. [ dr (a) y = sec(7?) (b)y = sin7x + cos5a

A: here we can find the derivative as below.

Q: Let x = 0.17 and y = 1.76. Determine the value of C when you evaluate |tan-1(2x)dx. (Use 2 decimal…

A: This question can be solved using the concept of ILATE.

Q: 4. Find d²y/dx² for the following functions: a) y = sin x? cos 2x

A:

Q: 2T d) f(x)=5 sin (x+1)+2 e) f(x) = -2 cos 2(x+ 1) + 1_ 17. Find the rule of the sinusoi

A:

Q: Match the function with its graph. 1. y 3 sin 2r 2.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve the following equation using separation of variables: cos(x) dy 2y d.r 1+ sin(x)

A: Solution of following equation using separation variable 2ydy/dx= cos(x) /(1+sin(x))

Q: d dx et ex sin x + e* cos x

A:

Q: At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

A: Given  function is y=sinx. We have to find the point at which the function y=sinx cross the y-axis.…

Q: The displacement (in centimeters) of a particle s moving back and forth along a straight line is…

A: If displacement is given by the function s(t) = 5sin(πt) +3cos(∩t)then instantaneous velocityv(t) =…

Q: (b) If y = sin (m sinhx), find the value of (yn)o ·

A: Given   it has to find nth derivative at .

Q: COS T dx sin' a

A: given that a integration we solve by using integration method . Here i attached solution of this…

Q: da (cos ( 3x) sin( 2æ)) dæ

A: