Using Euler's equation, show that-: zSinø z{(KØ)} = z2 – 2zCosØ +1

Q: Find the tangent of ZZ. 37 35 12 Y Write your answer as an integer or as a decima tan (Z) = Submit

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Q: he transformation from Cartesian to plane coordinates in x-direction is given by x=rsine x=rcos20…

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Q: The sides of a triangle are 26, 28, and 34 cm. Centered at each vertex are three circles, tangent…

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Q: A The roots of Characteristic equetion f oreler, lineor homopeneous-equation with constant…

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Q: The tangent plane at the point ,4 is z= 2'24 (Type an exact answer, using radicals as needed.)

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Q: Use sine and cosine to parametrize the intersection of the cylinders x + y = 81 and x? + z? = 81.

A: Find your answer below

Q: Transform (4, 7/3, ) from spherical into cylindrical form (here o is any angle).

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Q: Evaluate the given by using hyperbolic formula

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Q: Find the points on the cone z2 = x² + y² that are closest to the point (1,-1,0) %3D

A: Given that, z2=x2+y2 and the point is (1, -1,0). Form the equation of distance as follows.…

Q: Find the points on the cone z = x² + y that are closest to the point (-3,-2,0) %3D

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Q: Find the length of the catenary y = a cosh² from x = 0 and x = %3D X1.

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Q: Which integral computes the circumference of the ellipse +y? = 1? 2 216-322 16 – 4x2 dx 16 — З2? -…

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Q: The circles r = (3)^1/2 cos u and r = sin u intersect at the point (((3)^1/2)/2, pi/3) . Show that…

A: We have given circles equation r=3cosu and r=sinu For intersection point of these circles…

Q: .2 y = z, -2 < z < 2 %3D (x - 2)² + 4y2 = 4

A: (b)  The given equation is y=z2, -2≤z≤2. Observe that y-coordinate will always be positive and…

Q: Consider that the geometry of the arc for billboard for the pool is following the hyperbolic…

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Q: 10. Use Green's theorem to evaluate fcF·dr where F(z, y) = C is the triangle from (0,0) to (2,0) to…

A: Using Green's Theorem to evaluate ∮CF.drwhere F(x,y)=y2cosx,x2+2ysinxwhere C is the triangle from…

Q: AB and AC are tangent to circle Q whose radius is 1 unit. В A 5. Find x if AB=2x² + 2x+1 and AC…

A: Solving the 1st given question Given: AB, AC are tangent to circle Q of radius 1 unit

Q: (2) Find tume area of reason borunded by the graphs of tue equations d-**, the M = I, x=3,and Pound…

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Q: Transform (0, 5, 2) from rectangular into spherical form (here z is any negative number).

A: given rectangular coordinates is of the form (x, y, z) are (0,5,z) Now we are going to find…

Q: mathematically prove that the earth is spherical

A: We can prove that earth is spherical by comparing the shadows. The first person to estimate the…

Q: ( 군-1) dz ; Circle: Iz| = ½ 근(2-2y(z-3)

A: Given integral is ∮Cz−1zz−22z−3dz and circle z=52 We have to evaluate the given integral in the…

Q: Laplace trans form to sove the equalion, 十 4と-18 + 1, bm7) H1-て) て, inligral fit) =?

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Q: Find the length of the curve r= 1+ sin(20) Oses- /20

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Q: Consider that the geometry of the arc for the billboard for the pool is following the hyperbolic…

A: As per bartleby guidelines, for more than one questions asked only one is to be answered,kindly…

Q: 3. The distance between two distinct points (x1, y1) and (x2, y2) is given by the formula

A: Given: Points x1, y1 and x2, y2

Q: y= COsax tor Osxs T Question,

A: The derivative is calculated using first principle

Q: 5) Find the distance between the pole and the point (r, 0) = (-1, ). %3D

A: A detailed solution is given below.

Q: To find the points on the cone z? = x² + y² that are closest to the point (5,2,0) , we need to solve…

A: Given  z2=x2+y2 let the P (5,2,0) and P (x,y,z) so, d = x-52+y-22+z-02 d=x-52+y-22+z2d=…

Q: Find the lengths of the curves The cardioid r = 1 + cos θ

A: Given:r=1+cosθl=∫r2+drdθ2 dθ

Q: Give a parametric representation for the cylinder x^2+z^2=121

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Q: What are the (x, y) coo

A: we can find the coordinates using the trigonometry- x = rcosθ = cos(2π/3) = -0.5 y = rsinθ =…

Q: Solve for x in the figure ALMN is equilateral, and MP bisects ZM. Show all work!

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Q: Find the polar coovdinates rectanguar coordinak es the point whose (x,y)= LI,}) are

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Q: x2-y는 군.Give the spherical coordingtes.

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Q: a: A foree given by ř =gî+2-42 is applied at he pont (l,-t,2). Find 1he moment of Ē about The pont…

A: Concept Used: The Moment (or torque) of the force F⇀ about a point O is calculated by  MO=r×F where…

Q: The center of Dis R. Rare}

A: As the centre of group D4 is {R0,R180}•

Q: Find the point cylindrical coodinater of whoose cartesin coordinates are 10,-1,2)

A: Given: The cartesian coordinate (0,-1,2)

Q: The equation of the tangent plane to the surfice. -yeV + = 0 at the point (0,1,1) is ar + by + cz =…

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Q: Find the points on the cone z = x² + y² that are closest to the point (-5,-2,0)

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Q: ) a) Eliminate the parameter to obtain to obtain an equation in Xandy 5 describe the carve…

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Q: The equation of the tangent plane to the surfae ye+ = 0 at the point (0,-1, 1) is az+by+cz = Which…

A: Given yexy+z2 = 0    point (0 , -1 , 1)Let f = yexy+z2dfdx= yexy.y ⇒dfdy(0 , -1 , 1)=1dfdy= yexy.x…

Q: In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of…

A: There are two Napier's rules that are used to solve the right spherical triangles.

Q: Find the point(s) of intersection of the curves r = 1 and r = 2 sin 0. ^(1.5)(1.플) 1, 27 3 В. 1, 1,…

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Q: Use trigonometric form to find z1z2. and z1/z2, given that z1 = -2 + 2¡V3 and Z2 = V3 + i. %3D

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Convert the point from cylindrical coordinates to spherical co (3,2,0) (p, 0, 4) = || X

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Q: 2. Find the unit. tangent.vectar. I and the length.f= 3. ...

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