If i x w = 3i+ 2j – between i and w, then k, and i· w = 4, and 0 is the angle (a) tan 0 (b) 0 : ||

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A: Given: sinx=32

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A: This question is based on indefinite integral.

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Q: f(1,-2,リミ

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Q: If u(t) = (sin(2t), cos(2t), t) and v(t) = (t, cos(2t), sin(2t)), use Formula 5 of this theorem to…

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Q: 2- find ow/ar if w = (x + y + z)², y = cos(r + s), at the point (r, s)=(1, -1) x = r - S, z = sin(r…

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Q: Suppose sin u=x and u is between 0 and 2. What is cos u? V1-x2 | VI- 2² 1

A: Consider the following equation: sinu=x Consider the following trigonometric identity:…

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Q: has at least one solu Prove that the equation r+ sin(x) = VI +3 %3D (0, т).

A: Here we have to prove that,  x+sinx=1x+3⇒f(x)=1x+3-x-sinx has at least one solution in the interval…

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Q: In A XYZ, ZZ is a right angle and mZX = 53°. Which statement is true O cos 53* YZ %3D XY XZ O tan…

A: From the given figure representative diagram is shown below:   With respect to ∠53°.…

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

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Q: Find the angle at which the cardioid r = a(1 – cos 0) crosses the ray 0 3D п/2.

A: To find the angel at which the below cardioid crosses the ray θ=π/2

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A: The given integration is: ∫181+4x2dx  To evaluate the given integration.

Q: o F. ds, where F(x, y) = x²i+x²j and C consists of the arcs y = x² and y = x for 0 < x< 1.

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Q: Let z x = 2 cos u, and y 3 sin v. Find dz in terms of u and v. %3D Provide your answer below:

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Q: If y = sin(msinx) then show that (1– x)' y, – xy, + m² y =0.

A: Given: Given y=sinmsin-1x We want to show that 1-x2y2-xy1+m2y=0

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Q: The area A of a triangle with sides of lengths a and b enclosing an angle of measure u is A =  ab…

A: (a) Obtain the required relation as follows.

Q: B. FIND THE FOLLOWING ANGLES, WHICH LIE BETWEEN O AND 90°: (d) Cos 1.000 (e) Tan 0.500 (f) Tan 8.500…

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Q: U + ru, =x u(z,0) = sin(87x) cos(90r). IE R, t> 0,

A: Given ut+xux=x2 By Lagrange's method , we get dt1=dxx=dux2 By equation (1) and equation (2) , we get…

Q: Let t be the angle between 0 and such that sin t Then cos t sin(-t) cos(-t) tant =

A: Solution ) sin t = 1/4    t = sin-1(1/4)    t = 14.48 Cos (14.48) = 0.968 Sin(-t) = - sin t Sin (-t)…

Q: If z = x2 + y? x = e' cos(s) and et sin(s y = ), then

A: ∂z∂s=∂z∂x∂x∂s+∂z∂y∂y∂s Lets find out each derivative z=x2+y2∂z∂x =2xx=etcos(s) ∂x∂s=et…

Q: a) Find dz, if z = e' sin e %3D b) Verify uxy = uyx , if u = In /x² + y² . %3D

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

Q: If f(x, y)= cos(x +y), then- (+: O a. - sin (x + y) O b. - cos(x+ y) COS O c. cos(x+ y) O d. sin (x…

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Q: au, a'u +: Q3) A: Find u = In(x + y) + tan () where

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Q: The values of C, and C, so that y(x) = C, sin (2x) + C2 cos (2x) satisfies the following conditions:…

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Q: Assume that x, y ER and z = x + iy E C and answer the followings: 1. Evaluate sin(i) =?, cos(i) =? ,…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: 63. Let e be the angle between the line y = mx + b and the x-axis [Figure 29(A)]. Prove that m = tan…

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Q: Let r(t) = (sin 3r, cos 3r, /īt), Find T(t) and N(t)

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Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

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Q: Compute the length of the cardioid r = 9 – 9 cos(0).

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Q: (a) If u(x, y) = cos-1*" + y* ) x² + y? = COS then prove that ди du + y = -2cotu

A: Given: ux,y=cos-1x4+y4x2+y2

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Q: 2 If cos t : and t is in the 3rd quadrant, then cot t = 8 %3D V60 2 V60 8 2 V60 8 V60 O V50

A: Given:- cos(t) = -2/8  To find:- cot(t) in iii quadrant

Q: Give the applicable trigonometric substitution formula for S A. x=2 sin 0, dx = 2 sec ² 0 de B. x…

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Q: 3.) Evaluate ff cos(x-y) sin(x+y)dA, where R is the triangle with R vertices (0,0), (-л,π), and (,)…

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Q: 7. sin A = [ Select] %3D 8. cos A = [ Select ) 9. tan A = I Select)

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Q: Consider that sin(x) = e, where %3D 0<x< T, then dy tan (x) dx False O TrueO

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