6. If M :RM + RP and L:R" + RM are C1, then the correct formulation...
4. Let TB:R" + R" and TA: RM → RP be the linear transformations represented by an mxn matrix B = [bj] and p x m matrix A = [ai;], that is, b11x1 + ... binin y = TB(x): bm121 + ... + bmnan 01191 +... 01mYm 21 :| = z=TA(y) : apıyı + ... + Apmym where x= y= 53 z= : represent vectors in R", RM, RP, respectively. Then, we know from Problem 3 that the com- position...
Exercise 1. Do the following: (a) Write a statement defining the Chain Rule for the functions g: R" → Rm and f: RM + RP. Then describe how it works in a paragraph, assuming the reader is a classmate who has been following the course but missed the lecture on Properties of the Derivative. (b) Explain in detail how the Chain Rule you learned in Calculus I, (fog)(x) = f (g(2)).g'(x), is really just the special case of your statement...
[20] Simplify (R cis e)'. A. Rp cis po B. Rºcis pe C. Rp cis OP D. RP cis OP E. none of these [21] Which polar point is not equivalent to the polar point (20,- 700°)? A. (20, 20) B. (-20, 2009) c. (-20, -160°) D. (20, – 340°) E. not one of these is not equivalent, meaning they are all equivalent [22] Which polar point is not equivalent to the polar point (-3, -37) ? A. (3x, 0)...
Moment of a Force: Vector Formulation 6 of 6 Mz, My, M175,-138,226 N-m Learning Goal evious Ans To understand the concept of moment of a force and how to calculate it using a vector formulation A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000,0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u (-13)it (2/3jj...
Suppose that the budget constraint is given as: PX + PyY-M and the formulation of a utility function is given as: U(X, Y)-C2/2 + δΧαΥβ with 0 < α, β < 1 and constants C, δ > 0. Answer for following questions and show all your calculation/ proof. a. Derive the formula of income-consumption curve and draw its graph. b. Derive the demand function of good X and Y respectively as functions of income and price of good X and...
[20] Simplify (R cis 0)' A. Rp cis pe B. Rºcis po C. Rp cis do D. Rºcis Op E. none of these [21] Which polar point is not equivalent to the polar point (20. - 700º)? A. (20, 20°) B. (-20, 2009) c. (-20. - 160°) D. (20. - 340") E. not one of these is not equivalent, meaning they are all equivalent [22] Which polar point is not equivalent to the polar point (-31, – 3x)? A. (36,0)...
RM-Q6 Select the correct starting material that will give the products shown. O ? 1) O3 2) (CH3)2S O b) a) c) d) Select an answer and submit. For keyboard navigation, use the up/down arrow key a a) b b) c) RM-Q9 Select the IUPAC name for the following compound? NH2 ahh CI Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 2-chloro-1-methylhexylamine b 7-chloro-3-octanamine C 4-chloro-2-propylpentanamine d 2-chloro-7-octanamine Unanswered RM-Q-41...
Suppose that the budget constraint is given as: PX + PyY-M and the formulation of a utility function is given as: U(X, Y)-C2/2 + δΧαΥβ with 0 < α, β < 1 and constants C, δ > 0. Answer for following questions and show all your calculation/ proof. a. Derive the formula of income-consumption curve and draw its graph. b. Derive the demand function of good X and Y respectively as functions of income and price of good X and...
Suppose that the budget constraint is given as: PX+ PyY M and the formulation of a utility function s given as: U(X, Y)-c2/2 + δΧαγβ with 0 < α, β < 1 and constants C, δ > 0 Answer for following questions and show all your calculation/ proof. (15 points) a. Derive the formula of income-consumption curve and draw its graph. (15 points) b. Derive the demand function of good X and Y respectively as functions of income and price...
Suppose that the budget constraint is given as: PxX + PYY = M and the formulation of a utility function is given as: U(X, Y) = ??2/2 + ?????????? with 0 < ??, ?? < 1 and constants C, δ > 0. Answer for following questions and show all your calculation/ proof. (15 points) a. Derive the formula of income-consumption curve and draw its graph. (15 points) b. Derive the demand function of good X and Y respectively as functions...