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What is the axis of symmetry of functions B and C? x= Algebra II-Study G Algebra...
(3) For the function y =-2(x-1)2 find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing °For the function y = 0.5(x + 3)2 + 2, find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing
solve the following
3. Since g(x)-mx+b In(Cx)), we suspect that f(x)c)Ca. We can rewritefx) C2/ for constants C,k. Then gx) In))-x + In(c). In(2) a. Write out the algebra that brings us frome to C2** (Hint: This only relies or properties of exponents and the fact that ein 2 = 2. So, look at the algebra cheat sheet) b. By comparing the two expresSons for g(x), find k and C. Round to the first decimal place. (Note: ax + b...
Question 10 5 pts After graphing the parabola, indicate what the vertex, the axis of symmetry, and whether it opens up or down: y=-3x² + 3.0 -1 21 , opens down 9 y= (2,3) None of the above, Ch 10 Practice Test - Intermediate Algebra Question 11 5 pts Let f (x) = 3x² + 2 and g(x) = 4x :- 3. Find (fog)(x). (Hint - find the composition of fand g) 12x3 - 9x2 + 82 - 6 72.c...
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Question 1 (24 marks]. (a) Rewrite the following linear program in standard inequality form: minimise 78 - 12 +503 - 1034 subject to -11x1 - 12.12 - 13 + 14 > 1, 11-472-873 = 12 21 +672 +31, 57. 11,1220, 13 50 I, unrestricted (b) Consider the following linear program in standard equation form: maximise + 212-383 + 70s subject to I +212 +2.13 + 14 = 3 I + 2x2...
Find dy/dx of the next relations
Sol: y ylx 1 1-Cx C 2) 1+cx y' (1+cx1-cx a+bx ab 3) y= In Va-bx y's a2-b'x 4) y= atan (t); x = bcor (t) 6) x+2 7) y = 2v+ 45; donde v 52., W sec X 8)4x+3 8xy+e -e+ 8cos[tan(y)] = 0 arcsec (); x = elog2 (Int) 9) y 10) y sen[tan(x )] 11) y = cos[sen' (x)] cot + 4 12) y 13) y = [sec'(secx))P 14) y [Beae...
)-( 1 (c) Let C be a real 3 x 3 matrix and b be a real 3-vector. The general solution to the matrix equation Cx=b is given by 2 2 =X3 + -4 2 for all XER Let 10 y = -6 8 (i) Let z be a real 3-vector. Find the solution set to the matrix equation Cz=0 (ii) Calculate M1, M2 ER such that 2 y = M1 ( 3 + H2 ·()--() 1 (iii) Express Cy...
(a) Implement the following Boolean functions using decoders. i) F1 = x'y z' + x Z ii) F2 = x y' z' + x' y (b) Implement the following Boolean function using multiplexers. i) F1 (a, b, c, d) = Σ(1, 3, 4, 11, 12, 13, 14, 15) ii) F2 (a, b, c, d)= Σ(1, 2, 5, 7, 8, 10, 11, 13, 15)
(2 points) is typed as lambda, a as alpha. The PDE a2u ar2 = yº ди ay is separable, so we look for solutions of the form u(x, t) = X(x)Y(y). When solving DE in X and Y use the constants a and b for X and c for Y. The PDE can be rewritten using this solution as (placing constants in the DE for Y) into X"/X (1/(k^2))(y^5)(Y'/Y) = -2 Note: Use the prime notation for derivatives, so the...
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What is the axis of symmetry for a parabola with the equation f(x) = 4(x + 9) = 3 ? Select one: b O a. x = -4 O b. x = -9 O c. x = 9 o O d.x=3 w Which of the following are cofunctions? f Select one: a. sin and cos e b. sine and cos (90° - 0) c. tan (90° - ) and cot (90° - 0) O d. sin and...
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#2(b)) What types of functions are f(x) = e" and g(x) = x". Compare the differentiation formulas for f and 9 # 3,4,6,11,14,19.21) Differentiate the function: # 3) f(x) = 186.5 # 4) f(1) = 30 # 6) (t) = {- 36 +t #11) G(x) = VI - 2* # 14) R(r) = YTO #19) y = +*+47 +3 # 21) v = # 25) Find the equation of the tangent line and normal line to the curve...