The voltage of the alternating current coming through an electrical outlet can be modeled by the function V(t) = 164 sin(170πt),where t is measured in seconds and V in volts. Find all times at which the voltage is at its maximum. (Let k be any integer.)

Q: Let f(x) = sin x. Find a polynomial P(x) of degree at most 2 such that P(1) = f(1), P(1.1) = f(1.1),…

A: So we have to do a lagrange interpolation to approximate the function f(x) = sin(x) about the…

Q: Answer f(x) = COS T, n = 4

A: As per guideline we have to solve one question

Q: -Find Taylor or Maclaurin for the following functions: 1) f(x) = sin 3x

A: In this question we can find the Maclaurin series for the function. Maclaurin series for the…

Q: Given that f(x) = sin((7x + 6)4), find f'(x) as a function of z. f'(2) =

A: Given:      fx=sin7x+64   differentiating on both sides       f'x=ddxsin7x+64…

Q: Consider the equation below. f(x) = 2 sin x + 2 cos x 0 ≤ x ≤ 2? Find the local minimum and maximum…

A: Given,          fx=2sinx+2cosx ; 0≤x≤2π

Q: 1. Find the fourth Maclaurin polynomial for f (x)= sin 2x.

A:

Q: Obtain graphically an approximately value of the root of x = sin x + Tt /2

A:

Q: Find the maximum and minimum values of the function g(0) = 40 – 6 sin(0) · on the interval [0, 7]

A:

Q: Because r = √x2 + y2 cannot be ________, the sine and cosine functions are ________ for any…

A:

Q: Use the symmetry of the graphs of the sine and cosine functions as an aid in evaluating each…

A:

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find.

Q: Given that f'(5pi/9)=0 and f''(x)= -18 sin (3x) , what can be said about the function f(x) at x=…

A:

Q: Choose the correct graph of F(x) = 2 sin (2x+ t): 1 27 37 -1 -2

A:

Q: Given a function f(x,y,z) = (x+10) In (5y - 6) sin (5z). Find the domain of the function.

A: To find domain of function

Q: The number of hours of daylight in the SMH Lower Forum in month t of the year (with t = 0 being…

A: The number of hours of daylight in the SHM Lower Forum in the month of the year is given by…

Q: Which is the best of the following polynomial approximations to cos 2x =0? near x A) 1+ % 2 1 + x C…

A: We will solve the problem

Q: Let F(x) | sin (4t?) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.8 Use this polynomial…

A:

Q: Find a function of the form y = A sin(kx) + C or y = A cos (kx) + C whose graph matches this one:

A:

Q: What is the maximum value of the following function? 4 sin(x) +3 cos(x) 4 O 5 O 7

A:

Q: Sketch the following functions and perform horizontal line test to verify if they are…

A:

Q: Show that (Aetkx + Be-ikx)and (C cos kx + D sin kx) are equivalent ways of writing the same function…

A: eix  = cos(x) + i sin(x) e-ix = cos(x) - i sin(x)

Q: Find a function ƒ and a real number a such that 4 + / f(t) d : = x tan¬1 x. a.

A: Given that,  π4+∫axf(t)dt=xtan-1x We have to find the values of f and a.

Q: Find the nth Maclaurin polynomial for the function . f(x) = cos x, n = 4

A:

Q: Determine the domain of the function f(x) = V 3x + 5 sin(5x).

A: to find the domain

Q: Find the absolute maximum and minimum values of f on the given closed interval, and state where…

A: Given,          fx=19x-38sinx ; -π4,π2

Q: Consider the function f(xr)=x+sin(x), where the sin function is in radians (Beeler et al. 1972).…

A:

Q: Given a function f(x,y,z) = (x+5) In (4y - 5) sin (10z). Find the domain of the function.

A:

Q: In  the given equation as follows , find the nth Maclaurin polynomial for the function :- see the…

A:

Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given: gx=4 sin xx,x<0……1a-2x,x≥0……2

Q: The action of a waterwheel can be modeled by the function y = 3 cos(T (x - 3) + 2). Within the…

A:

Q: Pls help ASAP

A:

Q: Given the function g(x) = :/ V4 + sin(31) dt, 2x3 use the Fundamental Theorem of Calculus Part 1 to…

A:

Q: The number of hours of daylight in the SMH Lower Forum in month t of the year (with t = 0 being…

A: Use the graphical approach to determine the required values. Plot the curve for d(t) for 0≤t≤11 as t…

Q: Find the least positive root of f(x)=x cosx-1 as shown in Figure Q1(c). (c) -4 -6 -8 +-10 Figure…

A:

Q: The function f(1)3 sinh(In()) Is equivalent to which of the following functions Select one

A:

Q: Given f''(x) = 36 sin(6x) and f'(0) = 0 and f(0) = 2. %3D - (;) = T Find f

A:

Q: y 3 2 - х -2 л 2 2/ 2 -1 -2F 2. KIN

A: Given the graph of the sine wave

Q: Given the graph of h(x)=e^x and g(x)=cos x over the interval [-2,2]. Find the negative root by using…

A: Formula: The secant method iteration formula is given by, xn+2=xn-fxnxn+1-xnfxn+1-fxn Given: h(x)=ex…

Q: Consider the function f (x) = 3 sin (x) – 2. Find the exact value(s) of C in the interval [0, T|…

A: We have to find value of c.

Q: Find all values in the interval [0°,360°) that have the given function value. cos 0 = 2

A:

Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

Q: Which is the best of the following polynomial approximations to cos 2a near x = 0 ? A 1+5 В 1+ x C…

A:

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: If a function f(x) = ax³ + bx2 + cx + 1, where a, b, c are integers and a > 0 is such that %3D f(…

A:

Q: Let z be a function of x and y implicitly defined by the equation xye" – In (x² + y) = sin(x-z2) i)…

A:

Q: Find the domain of the function g(t)=sin(e^x-1) only the x is in the exponent

A:

Q: Determine the projection f(x) = 1 along sin(x), sin(3x)and find from there a function of the form 1…

A: The aim is to find projection of function f(x)=1 on sin x and sin 2x. Then we are trying to provide…

Q: Find the smallest value of t such that t>0 and sin(8t)– sin(3t) =0.

A: The given equation is sin8t - sin3t  = 0 or,  sin8t  = sin3t or,  sin8t  = sin(pi-3t) On comparing…

Q: 2. Given that the function f(0) = a sin (be) has exactly 5 zeros for 0 ≤ 0≤ 2, it is possible to…

A: Above question is solved.