Chapter 10.4, Problem 38E

The radius of a sphere decreases at a rate of 3 m/s. Find the rate at which the surface area decreases when the radius is 8 m. Answer exactly or round to 2 decimal places. The surface area decreases at a rate of m²/s

Find PS. P 76° e S Type your answer... 39 28°

Please could you check my answers

Let Y₁, Y2,, Yy be random variables from an Exponential distribution with unknown mean 0. Let Ô be the maximum likelihood estimates for 0. The probability density function of y; is given by P(Yi; 0) = 0, yi≥ 0. The maximum likelihood estimate is given as follows: Select one: = n Σ19 1 Σ19 n-1 Σ19: n² Σ1

Please could you help me answer parts d and e. Thanks

Q4 3 Points Consider the matrices A = B = C = 2 3 View them as elements of the vector space M2x2 of all 2 x 2 matrices. Determine if C is an element of Span{A, B}. Show work to justify your answer. (Hint: You may want to remind yourself what the definition of Span{A, B} is.) Please select file(s) Select file(s) Save Answer

Q2 29 2 Points Q2.1 1 Point [120] Let A 120 and v = 001 v is an element of Col A. v is not an element of Col A. Save Answer Q2.2 1 Point [12 0 Let A 120 and w= [001] w is an element of Nul A. Ow is not an element of Nul A. Save Answer 1 Select the statement that is true. 0 Select the statement that is true.

Q3 3 Points In the vector space V = P₂ of all polynomials of degree at most 2, consider the elements Pi(t)=1+t, P2(t) = 1-t, Ps(t)=1+2t+t². Determine if it is possible to write the polynomial q(t) = t² as a linear combination of Pi(t), p2(t), ps(t). If possible, show which linear combination of p₁(t), p2(t), ps(t) is equal to q(t) . If not possible, explain why. Show all of your work. Please select file(s) Select file(s) Save Answer

When fitting the model E[Y] = Bo+B1x1,i + B2x2; to a set of n = 25 observations, the following results were obtained using the general linear model notation: and 25 219 10232 551 XTX = 219 10232 3055 133899 133899 6725688, XTY 7361 337051 (XX)-- 0.1132 -0.0044 -0.00008 -0.0044 0.0027 -0.00004 -0.00008 -0.00004 0.00000129, Construct a multiple linear regression model Yin terms of the explanatory variables 1,i, x2,i- a) What is the value of the least squares estimate of the regression coefficient for 1,+? Give your answer correct to 3 decimal places. B1 b) Given that SSR = 5550, and SST=5784. Calculate the value of the MSg correct to 2 decimal places. c) What is the F statistics for this model correct to 2 decimal places?