Give a specific application of calculus in biomathematics

Q: 8. Find the flux of F = (2x – 5y², 3y, x) out of the sphcre of radius 2 centered at the origin.

A: The flux of the vector space is given by the formula, ∫S∇.F dS where S is the sphere of radius 2…

Q: 1 The following is an image of a target. Circle 1 has a radius of 1 inch, circle 2 has a radius of 2…

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Q: Summarize the Fundamental Theorem of Calculus (FTC), Part II using your own words

A: We  have to write the meaning of fundamental theorem of calculus.

Q: Determine the cartesian equation of a line in 3D if its vector equation is [x,y,z] = [1,2,7] + t[-2,…

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Q: 1.a) Evaluate the following integral. For improper integrals, show if it converges or diverges and…

A: To find ∫∑n=0∞xnn!dx We know that the series ∑n=0∞xnn!=ex. Hence the integral becomes,…

Q: 13. Find the derivative at x = a for f(x)= /sin(4x) 2 Vsin(4a) cos (4a) Jsin(4a) 2 sin(4a) Vsin(4a)…

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Q: 1. دو If A(x) = 5x So A ( ¾/3) = A' (√) - 1 Jt then: 1 + f2

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Q: (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: μ-923 (claim) Ha: μ#923 ⒸD. Ho:…

A: Let μ be the population mean sodium content in one of its breakfast sandwiches. Given that,…

Q: Look at the mapping diagrams below, which represent two different relations. The relation on the…

A: The given relation:-

Q: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: Which of the following subset of vector space (R³,R) are actually subspaces? Show your work. a.) The…

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Q: Define the term Calculus.

A: Calculus is the branch of mathematics that deals with the finding and properties of derivatives and…

Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: Introduction: Double integral or surface integral is the process to integrate a multi-variable…

Q: 6. For the differential equation z²y" + xy-y=0 (a) Show that y₁(z) = z and y₂(x) = are two linearly…

A: The given differential equation is x2y''+xy'-y=0 (a) We have to show that y1x=x and y2x=1x are two…

Q: Find the absolute extremum, if any, for the following function. f(x) = 4x4 - 1 Select the correct…

A: The given problem is to find the absolute extremum for the given function. Given function f(x) =…

Q: 4) The test scores of 40 students are listed below. Find P56. 30 35 43 44 47 48 54 55 56 57 59 62 63…

A: Givenno.of students =40

Q: Find the centroid of the region bounded by the curve (y – 1) = x – 1 and the lines y = -1 y=2 and x…

A: NOTE:-  According to the guidelines of company only 1 question can be answered at a time please…