Q 2 Given the function in x fn (x) = sin" r (n = 1,2,3, ...), answer the following questions.

Q: Given f(x, y, 2) = 4 sin(x + y), find f,(0, . -3), F,(0, -3), and f-(0, -3). 4 -3 4 40. -) - 4 II II

A: Answer is 0  Explanation is given below..

Q: A V3 sin-' (xy/2), Po(1, 1), 12. h(x, y) = tan (v/x) + A = 3i – 2j

A:

Q: 2. Find the function that satisfies these conditions: 7 (t) = (e', sin t, sec² t); 7 (0) = (2, 2, 2)

A: Ffff

Q: f" (x) = cos x, f(0) = 1, f'(0) = 2, f'"(0) = 3.

A:

Q: 8 sin x Find an antiderivative F(x) of the function f(x) such that F (0) = 1- 3 + cos r

A:

Q: QUESTIONS what is v1- of the function t=r(cos e+ sin e cos b) in region (i) of the figure 2, (ii) 2.

A: To evaluate this integral first we will convert polar coordinates into cartesian coordinates. Then…

Q: Given f(x,y,z) = cos(4xy) + sin(4z). Find f,(8,9,0). Leave your answer correct to two decimal…

A:

Q: (2) Find f(x) given that f"(x) = 2x + 3e². %3D (3) Find f(0) given that f"(0) = sin 0 + cos 0, ƒ(0)…

A: To find the function we integrate function twice

Q: If f(z) = 2 sin I +3 cos z, then f'(x) = %3D

A:

Q: a) f(x) = 3x + 5; interval [1,2]; %3D W = 10 interval ; 11m- b) f(x) = sin x;` %3D W = -1 2' 2

A: To verify the IVT for the specified function f, the interval a, b, and the indicated value w.a…

Q: 3 - What is the domain of the function f(x) ? sin x + cos X

A:

Q: 1. Find the absolute extrema of the function f(r) = e sin r-sin r+cos z in the interval [0, "]. %3D

A:

Q: f(t) = cos(t/2) - sin(t), in the interval of [-T,1].

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f;(5,5,0).

A:

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x1, x2, x3. f(x) 3D cos(x) — бх, хо…

A:

Q: 13. The function y = In sinx, when differentiated is? B. COS X A. cot x C. sec x D. tan x 15. The…

A: Given: y=lnsinx, y=sin23x

Q: Find the absolute extrema of the function on the closed interval. Function:        Interval: y=9…

A:

Q: f(t) dt = tan x. cos t %3D Find a function ƒ and a number a E (-5, 5) such that 1+ a

A: Lebnitz theorem

Q: 6 sin æ Let f(x) %3D 6 sin x + 4 cos æ Then f'(x) = The equation of the tangent line to y = f(x) at…

A:

Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f,(8,2,0). Leave your answer correct to two decimal…

A: Partial differentiation of f(x,y,z) with respect to x is calculated by treating y and z as…

Q: 31 The function f(x) = x sin x satisfies the following equation: f"(x) + f(x) + t cosx = 0. The…

A:

Q: 2) Proof that If y = f(x) = = cos x then dx sin x

A:

Q: sin(x³ + y* ) Q3. Find of for the functions: .(x.y) (0,0) x'+y f(x.y) = .(x.y) = (0,0)

A: f(x,y)=sin(x3+y2)x2+y2 uv'=vu'-uv'v2

Q: -2,2] R, then show that the function sin for x 0, f(x) = for x 0, aly continuous.

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Vx + sin/x dx. Evaluate: None of the given choices в x- 2cos/x +C 2x+ cos/x + C D x+2cos/x +C 2x-…

A: Let's find.

Q: 1. Consider [x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A. 3/8…

A:

Q: snip

A:

Q: c Functions. Prove the identity cosh x – sinh x = e x-

A: We have to show the given condition

Q: (i) Let f(x) E[an cos(n7x) + b, sin(nax)] , %3D where, | +x, -n <x< 0 | 0, f(x) = 0 < r<T. Then, b,…

A:

Q: a3z a3z 5. For z = x?siny show that дудхду ay²əx

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Q.3 (a) Show that the function u =e-2xy sin (x² – y²) is harmonic. (b) Test the analyticity of the…

A:

Q: iven po r (t) = (sin (t), cos (t), In(cos (t))), (0, 1,0). T = 1 1 1 - N = V2 1 1 B = V2

A:

Q: 1. Find the most general f(r, y) obeying öróy - sin(x)y.

A: As per guideline we can solve only one question you can repost other questions in next question

Q: 6) skelch a gvaph of the function y=sinx-si sin3X qt [e, z

A: See the attachment

Q: 3. (a) Determine whether the function y=1-cosx is even, odd or neither. (b)Find antiderivative of 3…

A: Consider the given function as y=1-cosx. Check the function is odd or even as follows. let…

Q: At what x values in the interval [0, 27] does the function f(x) = sin² (x) – sin(x) have a %3|…

A: Given that: f(x)=sin2x-sinx

Q: If f(x, y) = -x cos y, then fyx (1,0) = ? Select one: O -1 0 0 O-sin y 1 None of them

A: Given :fx, y=-x cosy

Q: The value of f(2) for the function f(x) = cos (x³) using forward finite difference with (h = 0. 15)…

A: The formula of the forward finite difference method is derived from the Taylor theorem. Substitute…

Q: 7) Find all absolute extrema in the function h(x)=cos on the interval (0, 2].

A: h(x)=cos2π3xh'(x)=-sin2π3xddx2π3xh'(x)=-sin2π3x2π3For critical values…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) +…

A: Consider the given function. Differentiate the above function with respect to x. Equate the above…

Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f:(5,5,0).

A: This question is based on Partial derivatives.

Q: et +e» et Рe-* cosh(x) sinh(x) 2

A: Given that:- coshx=ex+e-x2 sinh(x)=ex-e-x2

Q: None c) cosh x + C sinh x +C 2 sinh x +C cosh x +C

A: The given integral,      12∫ex-e-xdx

Q: Find the exact value of the trig function given that sinu = and cos v = 25 with the restriction that…

A: Given : sin(u) = (-7/25), cos(v) = (4/5) sin2θ + cos2θ = 1 cosθ = √1 - sin2θ cos(u) = √1 - (-7/25)2…

Q: 19-f(t)=t-sin 2t; 20-f(t)=e" cos 2t.

A:

Q: = sin? (esin" t) + cos-1(2t3 (x) = tanh-1 x + In V1– x2 |

A:

Q: The domain of the function f(x)=tanh(e* –1) Select one: O (0, 0) O (-0, 0) O None O (1, ) O [e, ) O…

A: Find the domain of the function

Q: Match the following functions with the appropriate cross-section: I) z = (y²-1) cos(x) II) z=(x²-1)…

A:

Q: The domain of the function f(x)=sinh-1(Inx)

A: To find the domain of the function