Concept used:- here we use the properties of vector algebra for solution,
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10. Consider the following vectors: wi =-38-59, wz-7(8-9) and x = 2 (38-109) and scalar quantities...
10. Consider the following vectors: wis-32-59, =7(2-9) and x = 2(32-109) and scalar quantities t = 5 and m If E = m (wit) . x, determine the value of the scalar E and draw all these vectors as ar- rows in the graph below
Question (7) Consider the vector space R3 with the regular addition, and scalar aL multiplication. Is The set of all vectors of the form b, subspace of R3 Question (9) a) Let S- {2-x + 3x2, x + x, 1-2x2} be a subset of P2, Is s is abasis for P2? 2 1 3 0 uestion (6) Let A=12 1 a) Compute the determinant of the matrix A via reduction to triangular form. (perform elementary row operations) Question (7) Consider...
Determine the angle between these vectors: (4K-2) and m 38 4 9. Remember the following rules: a. Consider two vectors, F SR+ 29 and d 3-1 49 If W-F d, what is the value of W?
Questions 32-34 Are based on the following vectors: A 4 5 6 7 8 9 10 C 12 4 6 8 10 12 14 D 0 0 0 0 0 0 0)] 12) Which command will crcate the following macix? 4567,910 46 10 12 o 0 0 0 00 d) all of the above e) mone of the above 33) Which command will creale the following matrix? 8 1 10 9 112 o 14 d) all of the above e)...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
10 Draw the graph of f(x) = 52-2 No + 9 8 7 6 5 4 3 2 1 5 6 7 8 9
Consider the following data: x 6 7 8 9 10 P(X=x) 0.1 0.3 0.1 0.1 0.4 Step 1 of 5: Find the expected value E(X). Round your answer to one decimal place. Step 2 of 5: Find the variance. Round your answer to one decimal place Step 3 of 5: Find the standard deviation. Round your answer to one decimal place Step 4 of 5: Find the value of P(X<9)P(X<9). Round your answer to one decimal place. Step 5 of...
Question 7c of 38 Consider light with a wavelength of 5.75 x 10-10 m. How much heat is required to heat 1 cup (237 g) of water from 25 °C to 100 °C? (s(H2O) = 4.184 J/g.°C) 1 4 7 +/- 2 5 8 : 3 6 9 O x 100 W E RT Y ULO
How do you answer 8 and 10? Is 9 correct? 7. (8 points) Consider the molecule shown below A. 2 points) Give the hybridization of the carbon labeled a: Sp B. (2 points) Give the hybridization of the carbon labeled B:sp c. (2 points) How many unhybridized p-orbitals are in this molecule . Count all unhybridized p-orbitals on every atom) *D. (2 points) Circle all chiral carbons in the compound above. If the compound contains no ch carbons, put a...
Sketch the graph of the resulting function. 2. Solve a" +x = 8(t - ) - 8(t-2r), z(0) = 0, z'(0) = 1. Sketch the graph of the result ing function. 3. Find a first order system corresponding to the scalar equation and find its general solution. (a) y"-44y= 0. (b) t2y"- 4ty+ 4y = 0, t > 0. (It general solution is of the form y(t) = ct+ cztt.) 4. Find the general solution to the system r'= Ar,...