find coso between u and v u3(cos ,sin- 3T v=(cos ,sin 4 4 Select one: a. -.258 b. .6 C. .58 d. .8

Q: | cos r In(sin z)dr

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Q: The intersection points between the curves r = 3. and r = are 1-cos e 1+cose

A: The given curves are, r=11-cosθ                      ........(1) r=31+cosθ…

Q: дz əs дz at || 11 z = e cos(8), r = st, 8 8 = √ S6 + 56

A: Solution is done in step 2,3

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.669 and y =…

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Q: 2 cos Ø sinotos"0 csc0 Reuorite the expresson as a single triganometrie function whose anqument is…

A: Given: The expression 2cosϕsinϕ+cos2ϕcscϕ, To simplify: The given expression in term of one…

Q: find area Inside the oval limaçon r = 4 + 2 cos 0 Inside the cardioid r Inside one leaf of the…

A:

Q: Find the area in the first quadrant inside the curve r = 4 + cos 2θ but outside the curve r = 3 cos…

A: Given  The outside the curve r = 4 + cos 2θ but inside the curve r = 3 cos 2θ . Formula for area…

Q: Q: If cosece - sin e = t and sece - cos e = m, prove that l'm? (12 + m2 +3) =1 1. %3D

A: Given that cosecθ−sinθ=lsecθ−cosθ=m

Q: Find all x and y between O and 27 so that the equation is true. cosx+i siny = sinx+i x = 4 or 4y = 2…

A: Explanation of the answer is as follows

Q: Find Df and Duf to:- XZ on the point (,,1) inthe direction of V = 2i -3j+6 K. %3D soLiin ansi- lo

A: Directional derivative of the function.

Q: 01: Find the angle () between the tangents lines of the 3 sec 0 and the cardioid r 4(1+ cos 0) at…

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Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

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Q: Find Duf at P. f (x, y) = sin(4x - 4y); P(4, 4); u = j %3D NOTE: Enter the exact answer. Duf = %3D

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Q: (Sece tana) Sec de Cot e Cos?0

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Q: : Find the length of the cardioid r = 1 + cos 0 0 < 0 <T

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Q: b) Describe, the motion of a particle with position (x,y) as t varies in' tthe given interval X= 5+…

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Q: 01: Find the angle () between the tangents lines of the 4(1 + cos 0) at the line r 3 sec 0 and the…

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Q: dy of the following functi de A5) Find (a) y = sec(5r)[0.25 mark] (b)y = sin5x + cos6x [0.5 mark (c)…

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Q: Prove the left side equal to right side in the following: s2 (eice = (sin at + at cos ar] 1 L-1 (s²…

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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

Q: find the length of the part of the r=2(1+ cosa) curve that remaîns în the r =211+ Sind) curve %3D…

A: We have to find the length of the part of the r = 2(1+cos alpha) curve that remains in the r =…

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3 + 3…

A:

Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: Find the length of one arch of the cycloid 8(t – sin(t)), y = 8(1 – cos(t)). %3D

A: Given: x = 8(t -sint(t)) y = 8 (1-cos(t)) To find the length of arc.

Q: Sinex dx is a) Conv. to o 6) diverge b) cont. to 프 auou (P

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Q: Find d cos Z dz

A: Use the properties of differentiation and the derivative formula ddxeax=aeax, to calculate ddzcosz,…

Q: Q.2) Evaluate Cos(z + y+2) dzdydz

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Q: Find the length of one arch of the cycloid 1 8(t- sin(t)), y = 8(1 – cos(t)).

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Q: Which of the following is equivalent to u=-cost+v3 sint ? a) u = 2 cos t +- 1 b) u = – cos| t+ 2 3…

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Q: Calculate F-dr in the case when F(z,y) = (7y - sin (y) + 8)i+ (72 -e cos (y))jis conservative, and A…

A: Given that: F=7y−exsiny+8i+7x−excosyj and, rt=2tsinπt2i−π2sinπt2j for 0≤t≤1

Q: Find the length of one arch of the cycloid a = 9(t – sin(t)), y = 9(1 – cos(t)). %3D

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Q: find area Inside the circle r = 4 cos 0 and to the right of the vertical line sec 0

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Q: Suppose r(t) = cos(nt) i + sin(at) j + 5tk represents the position of a particle on a helix, where z…

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3…

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3…

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Q: Use by parts find r'cos x dx Jo

A:

Q: Use Green's theorem to evaluate $y – sinx)dx + cosx dy Where c the triangle of the adjoining figure…

A: Green`s Theorem:-  Green`s Theorem states that the line integral is equal to the double integral of…

Q: . Consider the function f(x) = cos(0.6z). %3D i. For the argument of cosine, 0.67. to vary by 2T,…

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Q: the wire that lies along the curve Di + (7 sin t)j. 0sts5 Osts1; 8= 5? its

A: We have to find the mass of wire according to the given information

Q: I sin(z) cos(z) da : Hint:

A: Given integration is, ∫xsin(x)cos(x)dx We know that, 2sin(x)cos(x)=sin(2x) Now, the integration…

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 5 + 3…

A: Given x=5+3 cost -1   y=5+3sint -2  π2≤t≤3π2In compare 1 &amp; 2  with st.eqnx=h+r cost y=k+r sint…

Q: Find the length of one arch of the cycloid x = 9(t – sin(t), y = 9(1 – cos(t)).

A:

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: Differentiate x with respect t. dxdt=ddtcos2t=-2sin t cost  Differentiate y with respect to t.…

Q: Given f(x, y) = 7æ° cos (y*), find .9 COS fzy(x, y) = fyy (x, y) = %3D

A: Given  f(x, y) = 7x9 cos(y8) To find fxy, fyy

Q: Evaluate. S cos z In(sec z)dz Your Answer: In(sec z) sin - In tan z + sec + sin z + C

A: Please see the answer below.

Q: A particle travels along the helix C given by 7 (t) = cos ti + sin tj + 2tk and is subject to a…

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Q: T= 8 cos 30. with /met: A =

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Q: What is the area within the curve r = cos 5θ?

A: For the solution follow the next step.

Q: Find a trig substitution r = f(@) that makes 1 dr = cos 0 de. (V4+)3

A: Here we have to substitute x =f(θ)

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.