Questions asked
2. Find the remainder by using Remainder Theorem when \( x^{3}-6 x^{2}+x-5 \) is divided by \( (x-1),(x+2) \) and \( (x-5) \).
True or false. A tRNA with an anticodon complementary to the stop codon catalyzes the reaction by which translation is terminated. True False
1. Why is innovation crucial for firms competing in various industries?
Which phenomenon (refraction, reflection, or diffraction) is clearly being shown in the red box? Which phenomenon (refraction, reflection, or diffraction) is clearly being shown in the blue box?
1.a. Find the following Maclaurin series ln(x+1)=sum_(n=0)^(infty ) ((-1)^(n+1))/(n+1)x^(n+1)=sum_(n=1)^(infty ) ((-1)^(n))/(n)x^(n) using the definition of a Taylor series centered at x=0. 1.a.Find the following Maclaurin series 1n(x+1 (-1)n+1 xn+1 n+1 n=0 n=1 using the definition of a Taylor series centered atx=O
Parametrization: x = 5cos(t), y = 7, z = 12sin(t)
The family tree below shows the inheritance of Duchenne muscular dystrophy in a family. This disease is caused by a recessive allele of an X-linked gene. Onormal female 3 4 5 6 7 normal male affected male 9 10 (a) (i) Indicate below the possible genotypes of individuals 1 to 10. Use D for the normal gene and d for the Duchenne gene and X and Y for the sex chromosomes. 1 4. 7. 10. 2. 3. 5 6. 8. 9. (ii) What would a genetic counsellor say to parents 6 and 7 when explaining what the probability would be of their next child suffering from Duchenne muscular dystrophy? (b) Name two other X-linked diseases of humans. 1 2
6. Graph $g(x) = |x| - 5$. Describe the transformation from the graph of $f(x) = |x|$ to the graph of $g$. Then describe the domain and range.
17 Toshiba produce refrigerators for consumer use. Each refrigerator cost LG RO250 and they sell each with RO400. The company pay a fixed cost 300000 every year. They also have a profit target of 25000 after tax and a profit target of 40000 pre-tax. The tax rate for the year is 40%. How much sales revenue they should make to achieve the targeted pre-tax profit Select one: a. RO 906666.667 b. RO 966666.667 c. RO 806666.667 d. RO 866666.667
Express each of the waveforms below in terms of step functions and then determine its Laplace transform. (Recall that the ramp function is related to the step function by $r(t - T) = (t - T)u(t - T)$.) Assume that all waveforms are zero for $t < 0$. X1 Staircase 4 2-- X2 2 Square wave 0 1 (s) 1 2 3 4 0 1 (s) 1 2 -2+ (a) X3 Top hat 4- 2- 0 X4 Mesa 4 2 (b) + 3 1(s) 0 4 + 2 t(s) 6 7 (c) (d) X5 Negative ramp X6 10 Triangular wave 2 0 1(s) 0 + 2 4 6 8 -10+ (a) Staircase (b) Square wave (c) Top hat (d) Mesa (e) Negative ramp (f) Triangular wave (e) -10+ (f) (s)