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- (8) Use the facts that (for all values of b) (0, 1) is on the graph of y = b* , and (1,0) is on the graph of y log, r to explain which family is horizontally scaled and which family is vertically scaled.Expand the log by using the properties of log.Given w = xe-x + ln(x²yz3) Determine дw дх O о ди дх = ex(1 - x) + = xe +1+ дш дх ди дх дш дх II 2|8 = -хе-х X 2 X хе-х + x²e-x + 2 X 2 tex xyz3 +
- 4. If p = a + b + c a. Determine the range of g(x)= ab logk(ab) be logk(bc) b. If- P p-a aa = bb= C c. If p 0, then prove that, =1 = 1 yo+ya+1 12x-11 e ca logk (ca) P-b ya -1Show that the function f:R –R givenby f(x) = log, (x+vx* +1),a>o, a#1. is invertible and find its inverse.[D] Prove the following operator relationProve that the followijg is true for x, y > 0. Please show all steps log(1 + xy) ≥ log(1 + x)log(1+y) ²₁ ÿ log(1+ √xy) ≥ √log(1 + x) log(1 + y)Let x 1 be a real number, we have Σ nAndre' performed a box cox analysis in JMP. He found a lambda equal to 2.2, what would be th recommended re-expression of y? O Take the square of the Y values O Take the reciprocal of the negative Y values O Take the log of the Y valuesSEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,