Evaluate the following indefinite integral. \( \int_{}^{}{12x^5- \frac{6}{x^4} } dx \) You must show work for this problem.  Don’t forget the constant of integration.

Calculate the definite integral by referring to the figure with indicated areas. \( \int_{7}^{0}{f(x)dx} \) Area of A1:   10 Area of A2:   4 Area of A3:  2 Area of A4:  3 Hint:  Notice the order of the bounds. You do not have to show work for this problem.

Find the indefinite integral.  You must show work for this problem.  Don’t forget the constant of integration. \( \int_{}^{}{x^2e^{2x^3}}dx \)

A measure of radiation that takes into account the possible biological damage produced by different types of radiation is called a

The addition of clavulanic acid or sulbactam to certain penicillins act to enhance antibacterial activity as a result of inhibition of an enzyme called [what].

Drugs that inhibit the enzyme cyclooxygenase have three major physiological effects namely they provide [effect1] and [effect2] and [effect3] treatments in patients. 

Angiotensin II binds to receptors on the [organlocation] and results in the release of [hormonalproduct].  

Two genes are linked. One gene affects fur color (B is black and b is grey). The other gene affects fur length (H is short fur and h is long fur). An individual has the genotype BbHh.  If this individual reproduces sexually, we would predict that the B and b alleles [a] the alleles for fur color and fur length [b] Mendel was not able to observe cellular processes, but we now know that the way [c] works provides the mechanism behind both of Mendel’s laws. 

In a species of Pokemon, individuals can be either blue or red. Color is coded for by a single gene with two alleles – one allele codes for blue and another codes for red. A pair of Pokemon – blue female and red male – start a family. The pedigree showing their descendants is given above. Circles are XX females; squares are XY males. Shaded individuals are red; unshaded individuals are blue. Carriers (if any) are not shown. Red appears to be [b] to blue. The gene that determines blue vs red color appears to be [a]. If this were a real species that originally had only the blue allele, why would the allele for red color have appeared? [c]  To any Pokemon nerds: I realize that I am probably violating Pokemon canon in some way with this question; apologies. My son also informs me that the red phenotype is called “shiny”, but that is seriously confusing to anyone who’s not already familiar with Pokemon, so we’re calling it red (which is what it looks like) for this question.

A type of flowering plant lives for over 50 years. A large number of the plants are growing in an area. For the first 10 years of their lives, they produce pink flowers. During years 10-20 of their lives, acid rain increases, and the soil pH changes from 7 to 5. In years 20-50 of their lives, the plants produce purple flowers. The change in pH from 7 to 5 resulted in a [y] in hydrogen ions in the soil. The most plausible explanation for the change in flower color of the plants is [x].