2. Find all values of 0 in the interval [0°, 360°) that have the given function value tan 0 = -V3.

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = cos x −…

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: Find the length of the path over the given interval. (sin 3t, cos 3t), 0 ≤ t ≤ π

A: xt, yt=sin3t, cos3t,   0≤t≤π Here, xt=sin3t,  yt=cos3t Now differentiating with respect to t, we get…

Q: Express æ = 3t, y = tan-'(t4 + e') in the form y = f(x) by eliminating the parameter.

A: Given : x = 3ty = tan-1t4+et

Q: Use the Intermediate Value Theorem to show that there is a root of the equation in the given…

A:

Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

Q: Determine the exact x– value(s) of the intersection points of the functions f (x) = 4 sin² +7 sin 4…

A:

Q: Because f(t) = sin t and g(t) = tan t are odd functions, what can be said about the function h(t) =…

A: Given functions are: f(t) =  sin t g(t) = tan t Since we have, f(-t) = sin (-t) = - sin t = - f(t)…

Q: What is the range of the function f(æ) = 23 sin 4w+1 ?

A:

Q: Let z be defined implicitly as a function of x and y by the equation dz 4+ In (xy²) – cos (xy – 2) =…

A: Given: Let z be defined implicitly as a function of x and y by the…

Q: Calculate the approximation for the given function and interval.

A:

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

A:

Q: Show that the following functions are harmonic: u(x, y) = tan−1 y/x

A: u(x,y)=tan-1yx

Q: Given a function f(x,y,z) = (x+7) In (6y - 4) sin (1z). Find the range of the function.

A:

Q: The graph of f(t) = tan (2t + 4TT) intersects the t axis on the interval T0, TT] at points %3D

A: Consider the given: ft=tan2t+4πAt t-axis, ft=0,  tan2t+4π=0           2t+4π=0+πn…

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

A: handwriting solution

Q: Calculate the length of the path over the given interval. (sin 4t, cos 4t), 0 <t <T

A:

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

A:

Q: If u = tan -1 x- the value of x2 +y?+xy du at x = 1 and y = 3 is

A:

Q: dz az and ду Suppose z is a function of x and y, and tan Vy? + x2 = ze6y. Solve for

A:

Q: Find the length of the path over the given interval. (2 cost − cos 2t, 2 sin t − sin 2t), 0 ≤ t ≤…

A: x(t)=2 cost − cos 2t y(t)= 2 sin t − sin 2t interval- 0 ≤ t ≤ π/2

Q: 10. Find the period of the function: g (x) = 3 tan (6z + 42) %3D 6. 42 3, kl3

A:

Q: Find the absolute maximum of the function f(x)=sin(2x)+cos(2x) on the interval [0, pi/6].

A:

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: We have to refer to the graph of y = sin x or y = cos x Then we will find the exact values of x in…

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

A:

Q: Find the domain and range of each fuction f(x)=V sin x– cos x -

A: f(x) =sinx-cosx The number inside the radical must be greater than or equal to 0.    sinx-cosx≥0…

Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A sin…

A: The given equation is: x=Asin(Ct+B)

Q: Find дх (дхду) 6,e at the point(7,), where g(x,y) = cos(y) [sen(x) + xy].

A:

Q: Given a function f(x,y,z) = (x+1) In (10y - 6) sin (4z). Find the range of the function.

A:

Q: 4. How many fixed points does the function T(x) tan(x) have? %3D

A: As per our guidelines, we suppose to answer only one question. Here question 4) is answared.

Q: Hw) if J-0- Gso and X=O+ Cas e Show that Sece+tan 0

A: The given differentiation can be solved by using chain rule. Initially, the y expression can be…

Q: Find all values of t in the interval [0, 27] that satisfy the given equation. (Enter your answers as…

A: Given equation is sin t= - 32

Q: 2. Given the function g(t)=sin* ( tt )+sin (21), find g |, g'(1), and g' (Recall that sinx = aresin…

A:

Q: Find the absolute extremum point(s) of f(x) = e1−cos x  on [−π/2, π), if any.

A: The given function is                                            f(x)=e1-cos x And we have to find…

Q: Solve the equation for x in terms of y if x is restricted to the given interval.

A: Given: y=2+3 sinx x∈-π2,π2

Q: 1/4 Find the linear approximation of the function f(x) = tan(x) at the point a =' and use it to…

A:

Q: Use the Intermediate Value Theorem to show that in the interval [0,1] the equation below has a…

A: Given that: sinx=2x-1

Q: ii. Verify that the u = -e-Y tany is harmonic in an appropriate domain D.

A: Given that u=-e-ytany.  If u is harmonic then uxx+uyy=0.

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: The graph of f(t) = tan (2t + 4T) intersects the t axis on the interval [0, TT] at points %3D

A: Graph of the function f(t) intersects t axis when f(t) becomes zero. Substitution of f(t) by zero…

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

A:

Q: There is a unique point a between where the function f(x) = sin x + 2 Cos a and 4 changes its…

A: Given f(x)=sinx+12cos2x Find Concavity  and Find πa

Q: Find f and f, and evaluate each at the given point. tan(2), (6, -6) f(x, y) = arctan fx(x, y) =…

A:

Q: Find r (3) /" (종), /" (주) , f' (), ), fm given f (x) = sin a cos 3x

A: Given: fx=sinxcos3xf'x=cos4x-2sinxsin3x To find: f''π3=?f'''π3=? Formulas used:…

Q: Find all values of in the interval 0, 2 such that sin x = sin 2x

A: To find all values in the interval for the function

Q: Use the Closed Interval Method to determine the absolute maximum and absolute minimum values of f(x)…

A: Solve the following

Q: Find a function u(r, 8) that is harmonic outside the unit disk, equals f(0) = 2 sin(30) + 4 cos (50)…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Determine the ABSOLUTE EXTREME values of the function y = cos x + sin x, over the interval 0<x < 2T

A:

Q: 1- Find the approximate root of the following equation f(x)= cos x – x e = 0 , on the interval…

A: Here we use Newton's Raphson method to find the approximate root.