Advanced Math Archive: Questions from September 10, 2022
-
1 answer
-
Q8: Find the sinogram function \( p(l, \theta) \) for (a) \( \mu(x, y)=\delta(x, y) \) (b) \( \mu(x, y)=\delta(x-1, y-1) \) (c) \( \mu(x, y)=\delta(x, y)+\delta(x-1, y-1) \)1 answer -
8. Solve. a. Is it true that if u and v are orthogonal to w, then u + v is orthogonal to w ? b. Prove that ||u − v||2 = ||u||2 + ||v||2 − 2u · v. c. Prove the triangle inequality ||u + v|| ≤ ||
8. Resuelva. a. ¿. Es cierto que si \( \boldsymbol{u} \) y \( \boldsymbol{v} \) son ortogonales a \( \boldsymbol{w} \), luego \( \boldsymbol{u}+\boldsymbol{v} \) es ortogonal a \( \boldsymbol{w} \) ?1 answer -
7. Solve. a. Find the directional angles of the vector u =< −2, 6, 1 >. b. Find the component of the vector u =< 8, 2, 0 > that is orthogonal to v =< 2, 1, −1 > since projvu =<
a. Encuentre los ángulos de direccionales del vector \( \boldsymbol{u}=\langle-2,6,1\rangle \). b. Encuentre el componente del vector \( \boldsymbol{u}=\langle 8,2,0\rangle \) que es ortogonal a \( \1 answer -
2 answers
-
Problem 4. Find the general solution of the given DE: a) \( y^{\prime}-2 y=t^{2} e^{2 t} \) c) \( y^{\prime}+y=t e^{-t}+1 \) b) \( y^{\prime}+3 y=t+e^{-2 t} \) d) \( y^{\prime}+(1 / t) y=3 \cos (2 t),1 answer -
Use Laplace Transforms to solve [i.e., find \( y(t) \) ] for: a) \( \mathrm{y}^{\prime}+4 \mathrm{y}=7 \mathrm{e}^{-4 \mathrm{t}} \quad \mathrm{y}(0)=0 \) b) \( y^{\prime \prime}+4 y=0 \quad \mathrm{y1 answer