Find the angle between the planes x + y = 1 and 2x + y -2z = 2

Q: Given the equation of the circle x + y? - 2x - 4y+1 = 0, find the centre of this circle. A. (-1,2)…

A: Given Data- The equation of the circle isx2+y2-2x-4y+1=0.

Q: The derivative of f (x, y, z) = x/y² + z² at the point Po(-2,-1,-1) in the direction of ü=…

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Q: ky means the area unconcentrated into a narrow strip parallel to the y-axis [true or false] 1)Fx and…

A: (1) The given statement is FALSE. Explanation: ky means the area concentrated into a narrow strip…

Q: 9. Find the points of intersection of the parabola (x – 2)² = 4(y + 1) and the circle (x – 2)? + (y…

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Q: If p(x, y, z) = 2xz¹-x²y, find Vop and Vol at the point (2, -2, 1).

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Q: (3,5) and the line 12x + 4y +3 = 0, find the perpendicular distance.

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Q: 2. Find the are length of the curve from x=2 to x-3

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Q: 1. Find the area of the region bounded by y = x² +2, x-axis (or y = 0), x = -2, and x = 2. 40 44 A)…

A: The area bounded by curves can be calculated by the integration method. Definite integrals yield…

Q: Q3/ For the plate shown in figure below find (a) E A Y수 4 6 X 7 5

A: Let us consider the given figure , divide into two parts of area A1 and A2 The sum of area ΣA can be…

Q: (a) = 0, u(z,0) = de (b) u(a, 0) = 3e- + 2e-a

A: Disclaimer: Since you have posted multiple questions we will solve the first question for you. If…

Q: Find the volume of the given figure. 3ž in. 3 in. 1; in. radius 2 in. radius 7 in. y 2 in 3/4 1/2

A: It is required to determine volume of given section

Q: Draw plane XYZ such that it is parallel to both line 12 and line AD. (Line AD is part of plane ABC…

A: A points is a position in a plane or in space that has no dimensions ,these points are named,or…

Q: Find the equation of the line of intersection of the planes, 2x – 3y – z + 5 = 0 and x - y – 3z – 9…

A: Given planesP1:2x−3y−z+5=0P2:x−y−3z−9=0Let (x,y,z) be the point online of intersection of two…

Q: Determine the magnitude of A-B A= 10i+3k+7k, B=6i+5k

A: Determine the magnitude of A-B A= 10i+3k+7k, B=6i+5k To  find out magnitude of A-B

Q: Find the areas of the parallelograms whose vertices are given in points A(1, 0), B(0, 1), C(-1, 0),…

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Q: If the resultant angle is known, then the formula to find the actual angle in a rotating system is O…

A: Let us discuss about formula to find resultant angle in rotating system.

Q: b) * + 4x = 0, x(0) = 5 and x(0) = 0 %3D

A: Given, x¨ +4x=0D2+4x=0It can be written as-m2+4=0m2=-4m=±2iThe solution of the differential equation…

Q: 40. If A(1,7) and B(-2,3) are two consecutive vertices

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Q: 2. Draw the directions in the cubic unit cell. A:[00 T]. B:[120]. C:[I11]. D:[21 T]. 3. Draw the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. If f(x +2) = x² – 4x, what is f(x – 2)?

A: Given  f(x+2)=x2-4x   To find f(x-2)

Q: Trace the curve of y²=x²+5x+7

A: Determine values of Y by substituting different values of x

Q: which of the following is true about the curve y^2= (4x^2)/(1+x^2)   a) The curve is symmetric with…

A: x-axis symmetry: The graph of the given equation will be symmetric about the x-axis if replacing y…

Q: fA = 2i + 4 j - 5 k, the the direction of cosines of the vector A are *

A: Given data; A⇀=2i^+4j^+5k^therefore direction ratios of A are (2,4,-5)Direction cosines are given by…

Q: Which of the following statements is correct? a. The direction cosines are always based on positive…

A: Solution:   The correct option with necessary explanation is given below:

Q: Evaluate tan( Arcsec √5 – Arccot 2 )

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Q: Find the angle between lines AB and AC where the point A(3, 2, 3), the point B( – 4, 6, 6), and the…

A: Write down the coordinates of point A, B and C.

Q: Question 6 Given the following points in x-y plane: A(0,1), B(1,1), C(2,2), D(0,3), E(1,5), F(3,2),…

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Q: 38. Find the equation of the plane through Po(2,1,-1) perpendicular to the line of intersection of…

A: The most important point to note in this question is that, the line at the intersection of these two…

Q: Determine the second moments with respect to The x- and y-axes shown on the figure. 9 in. 9 in. 5…

A: The moment of inertia of the problem is obtained by subtracting the semi-circle from the rectangle.

Q: 600 N 900 N 45° 30° Designate 600N as A and the 9 0ON as R

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Q: 2. If a dot product of two non-zero vectors equals -1, then the vectors must be each other. a.…

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Q: Q2. Evaluate f, F.n dA, where F = 18zi – 12j + 3yk and A is that part of the plane 2x + 3y + 6z 12…

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Q: Show that line is parallel to plane x- 2y + z = 6 %3D

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Q: Answer Three Questions only QI: Find of xy = x + cot y dy dx Q2- Find Vx² + 8 – 3 lim - x→-1 x + 1…

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Q: (d) 2x² + 9x +4>0

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Q: Find the highest and lowest point of the surface z2 = x2 + y2 ,on the plane 4x – 3y + 8z = 10 %3D…

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Q: 48. Find the area of the polygon ABCDEA with vertices A(4, 1), B(1,6), C(-4, 3), D(-6,0), and…

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Q: What is the equation of the circle that has radius of 9 and centre at 3 8)2 O (x+3)°+Cv-8)° – 9 O…

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Q: Find the conjugate of z if z = (1+3i) + (–2 – 4i) 1+i -1+i -1 – i 1- i

A: Correct option: (c) - 1 + i

Q: H.W: Find the point where the line x2t, y= 2t , z=1+t intersects the plane 3x + 2y +6z = 6…

A: GIVEN DATA: 1 :   x=83+2t ,y=-2t,and z=1+t              Intersects the plane 3x+2y+6z=6   2.  Given…

Q: y y = (x²/25) + 4 Figure Q3

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Q: 10. If the point P(x, 1) is equidistant from the points A(2,3) and B(-3,–4), what is the value of x?…

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Q: Given points A(x = 2, y = 3, z = −1) and B(ρ = 4, ∅ = −50°, z = 2), Find the distance from: (a)…

A: (a) Distance from A to origin is 14. (a) Distance from B to origin is 20. (a) Distance from A to B…

Q: Given that z = −2 is a root, find the other two roots of 4z3 +11z2 +10z+8=0

A: According to the problem, -2 is a root of 4z3+11z2+10z+8=0. Therefore, according to remainder and…

Q: b) Let M be the line with parametric equations x =1 + 2t, y = t, z =-1. Find the distance from M to…

A: Given data: The parametric equation of the line M is; x=1+2t, y=t, z=-1. The coordinate of the…

Q: In the Figure 2, the resultant R can be found as: R* Figure 2: R P R² = P² + Q² - 2PQ cos B O True O…

A: GIVEN DATA- A MCQ GIVEN ABOUT RESULTANT OF FORCE

Q: Find an equation for the circle with the .center C(h, k) and radius a C(-2,-V3) , a = 2

A: Equation of circle is given below.

Q: Determine the second moments with respect to The x- and y-axes shown on the figure. 60 mm 30 mm 60…

A: Separating above diagram in three standard section

Q: H.W: Find the angle between the planes x+y 1 and 2x + y -2z =2

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Crystalline Imperfections

The crystalline imperfections are described as the geometrical defects in the crystal due to incorrect arrangement of atoms, impurity, vacancy, and many more. It is not possible to achieve a perfect or ideal crystal, practically.