Consider the following. u = i + V7j, v = -/7i+j (a) Find u v. u V = (b) Find the angle between u and v to the nearest degree. 0 3=

Q: Assume z =x+ iy = re® , i = /-1

A: Topic:- algebra

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A: Given: sinx=32

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Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices ±1, tj clockwise.

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Q: EVALUATE USING HALF-ANGLE SUBSTITUTION dx 5 + 4 sin a A. aretan (Stan (3=) + 4 arctan +C 3 В. 2 5…

A: This question is based on indefinite integral.

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A: Given that the two planes: P1:2x-y+z=1P2:x+z=-3Normal   are,Let,      n^1:    2i-j+k=1n^2:   i+k=-3

Q: Consider the following. u = (-2, 2), v = (1, -1) (a) Find u • v. U V = (b) Find the angle between u…

A: Given vectors, u=-2i^+2j^ v=i^-j^

Q: Convert to polor coordinates with  r ≥ 0 and 0 ≤ theta < 2pi (4,0)  (r, theta) = ?

A: Polar coordinates (r, θ)            where r ≥ 0 and 0 ≤ theta &lt; 2pi Cartesian coordinates (x, y)…

Q: snip

A: the given statement is False the correct statement is :u × v=u v sin∅ where ∅ is the angle between u…

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Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to…

A: The objective of the question is evaluate the value of "c" for the given vectors.

Q: Suppose that r(t) =. Then the speed is

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Q: Consider the following. 3і — 2j 2i + j, u (a) Find u v. 4 u V = (b) Find the angle between u and v…

A: Given,

Q: Find the angle (in radian) between the planes 2x + Z = 3 and x + 2y + Z = 2y z = 2.

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Q: Derive the formula cos(a)=cos(b)cos(c)+sin(b)sin(c)cos(A) for an arbitrary spherical triangle with…

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Q: 2.1 Evaluate fe Im(: - i)dz where C is the contour from : = 1+ 2i to : 2 = i to : = -i. i and from

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Q: Use the technique that we went over in class to find "u", "V", and "du". u = 3x du = 3 dx V=-x2 u =…

A: u=7x Therefore du = 7dx

Q: 2v Find u? Let w = x°y z, where x = sin(2u – v) – 1, y = vu and z = when u = 1 and %3D du v = 2.

A: Given that  To find the partial derivative of w with respect to u

Q: Given y = sin u and u = 3x + 1, find %3D %3D 9.

A: We have to solve the derivative

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

A: The given question can be solved as shown in step2.

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

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Q: dz dz Find Ju when u = In 2, v=5. if z = 20 cot 'x, and x= e" + sin v. and dz (Simplify your…

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Q: For E =r sin Of +r cos o0+r sin oo, find V E and x E.

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

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: First we write the components form of u and v .

Q: Calculate the given quantity if u = i + j − 4k    v = 5i − 4j + k    w = j − 2k.   u × v   |v × w|…

A: We have to find the following given condition

Q: Find the angle at which the cardioid r = a(1 - cos u) crosses the ray u = pai/2.

A: Given:

Q: Find p such that angle between u = 3 and v = is 60° 4 р a. p= ±3 Ob. p=±- V5 O C None of these Od. 4…

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Q: if y=sin(x), z=cos(x), v=y+x, where (-100 ≤x≤ 100) could you plot y, z, v

A: Given:- we are provided with three functions y,z and v where y=sin(x)z=cos(x)v=y+x=sin(x)+xNow, we…

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…

A:

Q: Consider the following. u = i + 7j,       v = 8i - j (a) Find u times v. (b) Find the angle…

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Q: Ut=a?Uxx , 00 U(0,t)=0, U(1,t)+aU(1,t)=1 , U(x,0)=sin(pi x)

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Q: Let v=i+6j and w=i+3j. Find an exact number c so that w−cv is perpendicular to v.

A: The given vectors are    v = i + 6j w =  i + 3j

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

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Q: Consider the following. u = i+ V53, v = -V5i+j (a) Find u • v. u v = (b) Find the angle between u…

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Q: dz dz and du Evaluate at (u,v) = | 8,

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Q: Find ∂w/∂r and ∂w/∂s when r = π and s = 0 if w = sin (2x - y), x = r + sin s, y = rs.

A: Given w = sin (2x - y), x = r + sin s, y = rs

Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices +1, tj clockwise.

A: Evaluate the integral ∮Csin zz2+j 2z dz, where the path C represents the boundary of the square with…

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: IV. Let s=2j+2k and t=2i+2j+hk. Find h such that the angle between s and t is Find the area of the…

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Q: If sint = - - and t is in the 3rd quadrant, then tan t %3D V45 45 O V45 V45 2 V53 O O O

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Q: If the angle at which the radius vector cuts the √√²-a² 2 1 a curve 0 = COS be o, then a r cos o…

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Q: Convert to rectangular coordinates. x = 1+ sin t, y = 1 + cos t for t in 0, 27

A: The solution are next step..

Q: Find the distance traveled by a particle with position (х, у); Cos t, y = (cos t)², 0 < t < 4TT X =

A: To solve this we have to use two point distance formula

Q: 1. Given y + 0=90°. Find the measurement of angle 0 in the triangle below using cofunction…

A: Given,

Q: Find the angle (in radian) between the planes 2x + 2y Z = 3 and x + 2y + Z = z = 2.

A: Consider the two planes: 2x + 2y - z =3  and  x + 2y + z =2. We have to find the angle between the…

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.