Solve the with indrial data uiçol=3r r,O) = 0 wave 7.

Q: nter the exact answer. Im z? dz

A: Given, the vertices of the triangle are 0, 2, 2i.

Q: 21) Find the area of a triangle fosmed from the twovectors a = L'+2j-k-.

A: Given, a ⇀=i+2j-kb⇀ =2i-j+4k

Q: . If CDEF is a rhombus, find mZFED. C (5x + 1) (8X - 20)°

A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: Find the arclength of fox) = Ln/sinx/ on [1, 2] Round the answer to 2 decimals.

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Q: Find if y = tan- 5). Select one: A. 1-) В. 1+ (1 – 2)* C.d - 2 O D. I+ (1 - 1)* OE.+ (1-)

A: Given function is We know that derivative of tan inverse x is 1/1+x^2,so

Q: 2. Solve V'u = 0 for r<1, 0<z< T, u(r, 0, 0) = 0, a7(r, 0, 7) = 0, - u(1, 0, z) = z cos³ 0.

A: It is given that

Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

Q: Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

A: Given:  point A2,5Rotate by 35,45 around origin 0,0.…

Q: Find Sinczx), COSCZX), and tan(zx) from the information Cos Cx) = 07(めつら) %3D(x2)U:S %3D(x2)Unt

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Q: Show that ! fransform fix into It fn, linear "difference equation: equadion: SkH= +1. JKH

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Q: Find the length of the astroid x23+y23=a23.

A: Equation of astroid is We have to find the length of the asteroid. Graph of an asteroid is,when a=1…

Q: For parts (a), (b), and (c) consider the solid that lies above x +y -z =0 and below by x² + y* +z…

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Q: Find all Second partial derivatives fcx.y)- Sin?Cmx+ny)

A: Given that, f(x, y) = sin2(mx + ny) we have to find second partial derivative with respect to x and…

Q: Eliminate the parameter and find a corresponding rectangular equation  x=2 cos theta y=cos^2 theta…

A: The given parametric equations are as follows. x=2cosθ…

Q: A=X²i +2j ,B= 3 i +y²j -k Find : 1_ curl (A-B) . 2_ grad (A.B). 3_div (2A-B). Jo 9:59

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Q: How far is point E(5, 3) from the origin?

A: We know that distance between two points is given as - Distance = √{(x2 - x1)2 + (y2 - y1)2.   Here…

Q: Find the volume of the region of space outside the cylinder x² + y² = 16 and inside the sphere x² +…

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Q: 1. 2 2 + u- 3re + 2y-2= Sal +A4+32 = 4 22310 %3D y- 22こ1 2) e + 24-32ニ-) 3nl-y t22こ子 sae f 34-42 = 2…

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

Q: Differentiate, hcx) = In (x-Vr

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Q: Find the equation to the conicoid generated by lines parallel to the plane XOY, intersect OZ and the…

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Q: A ball is thrown with an initial velocity of 70 km per second, at an angle of 35° with the…

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Q: 28) V-135х8 30) 56nª 4

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Q: b) 7 ť? ezt C.) 5 sin 3€ - 3 cosh 4t

A: (b) ft=7t2e2t We know that Lft=FsFs=∫0∞ft·e-st·dt      =∫0∞7t2e2t·e-st·dt      =7∫0∞t2·e-s-2t·dt…

Q: St) = r°+x}

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Q: Find the dis tance from the Point (2,5) and the line 2y=6x-1

A: Given : To determine the distance of the point 2,5 and the line 2y = 6x-1