Light with a wavelength of 589 nm in a vacuum strikes the surface of an unknown liquid at an angle of 31.2° with respect to the normal to the surface.   If the light travels at a speed of 1.97 x 108 m/s through the liquid, what is the angle of refraction?

A plane mirror always produces an image that is:

The speed of light is 1.90 times larger in material A than it is in material B. Determine the ratio nA/nB of the refractive indices of these materials.

A convex lens has a focal length f. If an object is located at 2f, at what distance from the lens is the image formed?

A thin convex lens has focal length f. An object is placed a distance (5/2)f from the lens. At what distnce from the lens is the image formed?

A coil of wire with a resistance of 0.45

How many introns does this predicted mRNA have? 

  One degree of freedom is used for an n of 2.

Cat coat color involves multiple epistatic interactions. Use the Table menu option on your answer box below to make a 5×5 grid. You will use this and the information below to work a punnet square for the following dihybrid problem. Complete an F2 Punnet square for the P1 parents listed. Cat Genotypes and Associated Phenotypes Agouti (A_) is dominant over Solid (aa) Black (B_) is dominant over Brown (bb) and both are dominant over Cinnamon (b’b’) Temperature Sensitive Colorpoint (C) genes (siamese, etc.) are epistatic to color genes (A, B or O): C_ no colorpoint is dominant over c’ Burmese and c” Siamese , which are co-dominate (c’c” = Tonkinese). The albino allele is recessive to all other colorpoint alleles. Non-dilute (D_) is dominant over dilute (dd). The dilution allele is epistatic to color (B or O) – Creates Blue from Black, Lilac from Brown, Sable from Cinnamon, and Cream from Orange. Normal (E_) pigmentation is dominant over Amber (ee) and this gene is epistatic to color genes (A, B or O) Orange (O- or OO) is X-linked and co-dominant (tortoiseshell in female heterozygotes). The Orange/tortiseshell gene is epistatic to Color (A, B). Dominant White (W_) is epistatic to Colorpoints (Locus C), Agouti (Locus A), Color (Locus B), Orange (Locus O), Dilute (Locus D) and Amber (Locus E). WW is linked to deafness. Note that W_ is a different gene than the Albino cc locus.  How does X-linkage result in a hemizygous condition in males?

    Instructor: G. Kvernadze                                                       Summer 2026    MATH 1210________________________________________________ Exam 3    NAME (please print):_________________________________________                                                          Show all your work.                                                            Good luck!                          Q: What happens when a polar bear sits on the ice too long?                                                   A: He gets polaroids.   1. Choose one problem, mark it, and solve it. (10 points) Find the area of the region bounded by the curves