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Which of the following would cause intestine stem cells to differentiate? Overexpression of beta-catenin Loss of TCF/LEF Overproduction of a Wnt ligand None of the answers would cause intestine stem cells to differentiate Loss of APC

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3. Comparing accuracy for two similar functions. Activate Using a fixed number of subdivisions, we approximate the integrals of f and g on the interval shown in the figure below. (The function f(x) is shown in blue, and g(x) in black; click on the graph to get a larger version.) For which function, f or g is LEFT more accurate? o f g For which function, f or g is RIGHT more accurate? o f g For which function, f or g is MID more accurate? o f g For which function, f or g is TRAP more accurate? o f g

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Question 9 1 pts Biomagnification is the concentration of toxic substances in the flesh of marine organisms at higher levels in the food chain. O True O False

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Problem 3. Diffusion. (10 Points) The equilibrium constants for the reaction: KCl(s) = K+(soln) + Cl−(soln) are 19.76 at 100 \deg C and 8.241 at 30 \deg C where the standard state for the solution species is 1 molal. a. Calculate the concentration, Ce in mol/cm3, of K+ and Cl− in equilibrium with pure KCl at 100 \deg C. The density of water is \rho (H2O) = 1 g/cc and that of solid KCl is \rho (KCl) = 1.984 g/cc. b. Do the same at 30 \deg C. c. If the density of solid KCl is 1.984 g/cm3 and its molecular weight M = 74.56 g/mol, calculate the concentration, Cs in mol/cm3, of KCl in solid KCl. d. A spherical particle of initial radius, a0 of KCl is dissolving into a large amount of pure water at 30 \deg C. Develop an equation for the steady-state dissolution of a spherical particle of KCl of initial diameter of 2 mm; i.e. develop an expression for the radius a as a function of time. Derive your expression starting from Fick’s second law modified for spherical particle (see Readey textbook). e. Plot the steady-state concentration, mol/cm3, of KCl in both the solid and liquid as a function of distance, r/a, from the center, of the dissolving sphere out to r/a = 10. When r = a, C = Ce Note that there will be a discontinuity of the concentration at the solid-solution interface. Show Ce, Cs, and a on the plot. f. Calculate how long it takes to dissolve the 2 mm sphere of KCl if the diffusion coefficient for KCl in H2O is D = 2.1x10−5 cm2/s at 30 \deg C. g. Now suppose that a large amount of solution of KCl in equilibrium with pure KCl at 100 \deg C were suddenly cooled to 30 \deg C and that KCl solid particles now grow. Sketch the steady-state concentration, mol/cm3, of KCl in both the solid and liquid as a function of the relative distance (r/a on the x axis), from the center of the now growing sphere out to r/a = 10. Note that there will again be a discontinuity at the solid-solution interface.

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14. [0/2.36 Points] DETAILS MY NOTES PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of x values has approximately normal distribution. 55 95 90 75 40 35 30 23 100 110 105 95 105 60 110 120 95 90 60 70 USE SALT (a) Use a calculator with mean and sample standard deviation keys to find the sample mean price $x$ (in dollars) and sample standard deviation $s$ (in dollars). (Round your standard deviation to four decimal places.) $ 92 $ 19.5492 X X (b) Using the given data as representative of the population of prices of all sleeping bags, find a 90% confidence interval for the mean price $\mu$ (in dollars) of all sleeping bags. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to two decimal places.) $ 84.81 to 99.81 X

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What is a scientific theory? A scientific theory is a mathematical formula used to explain natural phenomena in the known universe. It is an explanation for a phenomena repeatedly confirmed through experiment or observation, rather than just an idea or speculation. It is a provisional explanation of a phenomenon.

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If \frac{x^2}{36} + \frac{y^2}{36} = 1 and $y(3) = 5.2$, find $y'(3)$ by implicit differentiation.

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(3) Using the diagrams for list elements in LISP (the construct which is composed of a car and a cdr), draw a box and pointer diagram for the below lists (i., ii., and iii. respectfully. ((a,b, (c,d)),e, (f,g)) i. (a, (b,c,d,e,f,g)) ii. iii. (a, (b, (c, (d), e), f), g) (4) Select two of the three lists listed in (3) and provide a car/cdr sequence to access each atomic element in the list (i.e. a, b, c, d, e, f, and g).

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Q.5. (10) The uniform steel boom in Fig. 4-22a weighs 150. It is supported by two cables CE and CD, and a ball-and-socket joint at A. The cable supporting the 1000-lb load passes over a small pulley at B. Find the tension in cable CE and in cable CD.

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5. (Points (2,5)) Compute the following infinite sum and provide all the necessary explanations: $\sum_{k=0}^{+\infty} \frac{(\ln 3)^k}{k!} - (\frac{1}{3})^k$.

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alejandro k.