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Find the constants C0, C1, and x1 so that the quadrature formulae z0^1 f(x) dx = C0 f(0) + C1 f(x1),





Has the highest possible degree of precision

Suppose a friend asks you to explain how electric potential relates to potential energy. Write a brief explanation that you could use to explain this concept to a friend who does not understand the relationship between two concepts


In a certain region an electric potential V is present. An unknown charge Q is moved around this region between points at potential difference ΔV. A physicist measures the change in the potential energy ΔU as the charge is moved. The table below shows the data of the measurements. The unit for ΔV are MV (mega-Volts), the units for ΔU are kJ (kilo-joules).

ΔV

57.1

29.9

16.7

9.97

8.55

8.32

6.52

6.87

ΔU

362.8

157.6

124.3

55.3

48.8

53.9

37.9

47.3

You want to find the value of the unknown charge Q in mC. Since ΔU = QΔV make the plot 𝑦=𝑚𝑥 where 𝑦=𝛥𝑈 and 𝑥=𝛥𝑉. Use Excel, calculator or whatever you prefer. From the slope of the plot, calculate Q.


4. In Jimsonweed, purple flower color (P) is dominant over white (p) and spiny pods (S) over smooth pods (s). These pairs of alleles are not linked. A Jimsonweed of genotype PPss is crossed with one of ppss. What is the genotype of the F1 generation? The phenotype?



5. In peas, the gene for tall plants (T) is dominant over the gene for dwarf plants (t) and round seed (R) is dominant over wrinkled seed (r). If one crosses a homozygous tall, wrinkled-seeded plant with a homozygous dwarf, round-seeded plant, what is the phenotype of the F1? The genotype of the F1? The phenotypic ratio of the F2?



6. If the cross BbDD X bbDd is made, which of the following would not be represented in the offspring?



a. BbDD; b. BbDd; c. bbDD; d. bbDd; e. BBDd




Four o'clocks exhibit incomplete dominance. Thus, if a plant with red flowers is crossed with a plant with white flowers, the offspring will all produce pink flowers. What offspring would you expect if you crossed a red-flowered plant with a pink-flowered plant?





II. DIHYBRID CROSSES





3. How many different kinds of gametes can an organism of genotype RrSS produce? List them.







1. Most individuals of a certain wild flower have white petals, but a few are blue. Crosses have shown that the blue color is due to a recessive allele. Use "W" for white and "w" for blue.


a. What is the genotype of a blue-flowered plant and what gametes would it produce as a result of meiosis?


b. What is/are the genotype(s) of each of a blue-flowered plant's parents?


c. If a blue-flowered plant has two white-flowered parents, and the parents produced many offspring, what fraction of them would you expect to be blue?


d. If a blue-flowered plant is crossed with its white-flowered parent, what fraction of their offspring would have the genotype "ww"?


e. If two blue-flowered plants cross, what fraction of their offspring will be blue? White?



find fourier integral for the following f(x)= e-x x>0


Write a program to display inverted half pyramid using stars pattern. * * * * * * * * * * * * * * *


Write a program to display half pyramid using stars pattern. * * * * * * * * * * * * * * *


Write a program to count number of digits in a decimal number.


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