JO find onthononmal bases:(Using 2 3 %3D 1 O'5 V2 = 2 0:2 1
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![EO find orthononmal bases: (Using
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- △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1). Which of the following can be used to prove that △XYZ is isosceles?Compute algebraically the resultant of the following coplanar displacements: 20.0 m at 30.0°, 40.0 m at 120.0°, 25.0 m at 180.0°, 42.0 m at 270.0°, and 12.0 m at 315.0°. Check your answer with a graphical solution.XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1). Which of the following can be used to prove that △XYZ is isosceles
- Plz give correct solution. Suppose T in L(F^2) and dim E(3, T) = 2. Prove that T is invertible.Find b∈R such that ∫∫Ssin (b) ydS = 8, where S is the part of y^2 + z^2 = 4 that is between x = 0 and x = 3 − z in the first octant.Assume that a spring does not follow Hooke’s Law. Instead, the force required to stretch the spring x m from its natural length is F(x) = ksqrt(5 + x2) N. a. If a 3-N force stretches the spring 2 m, find the value of k. b. How much work is required to stretch the spring 1 m from its natural length
- 1. Compute algebraically the resultant of the following coplanar displacements 20 m at 30 degrees; 40 m at 120 degrees; ?25 m at 180 degrees; 42 m at 270 degrees and 12 m at 315 degrees?d A - Find % when (cos x)¥ = (siny)* B-fu=u(y—-z, z—x, x—1y),Proof that du dJu du ax+ay+az_0Qifi: Is the differential 'eq'uati::m’ (co§:xv-:|- In jz) dqé - (% + eJ’) dy = 0 exact?
- consider a spring-mass system driven by an external force governed by : 2u'' + 3u'+4u=cos(wt) (w=omega) Find the maximum amplitute of the force response corresponding to resonance frecuency. USE a calculator. give 3 decimal places, no rouning.A solid non-conducting sphere of radius 3 cm has a charge of +24 micro(u)C. A conducting spherical shell of inner radius 6 cm and outer radius 10 cm is concentric with the solid non-conducting sphere and carries a charge of -10 micro C. What is the electric field at r=1cmUse Gauss's law to find the charge enclosed by the cube with vertices (±1,±1,±1) if the electric field is E(x,y,z)=5xi+1yj+2zk.