3. Solve the following problem. Write your answer in complete sentence including appropriate units The rate of change of the atmospheric pressure P with respect to the altitude h is proportional to P (provided that the temperature is constant). At 15°C, the atmospheric pressure decreases about 12% for every 1000 meters and the pressure at sea level is 101.3 kPa (kiloPascals). a) Write the differential equation for P(h) and use the above information to find an expression for P in terms of h (i.e. determine C and k) b) What is the atmospheric pressure at the top of Mount Denali in Alaska if the altitude is 6187 m?

Q: find the number of six-digit positive integers whose digits sum to 30   the answer is C(34,5) -…

A: We shall illustrate the method involved. The details are provided in step 2.

Q: Let f(x) = x3 + 5. Explain why f(x) is invertible, then show all steps in the derivation of a…

A: Invertible function and it's inverse.

Q: The volume of a cylindrical can is 4∏x^3 + 28∏x^2 + 65∏x + 50∏ cm^3. The can is (x+ 2) cm high. What…

A:

Q: Let V = (a) VV, sin cos I -. Determine: (b) VXVV, (c) V.VV

A: Given : V=sinθ cosϕr To Find : a ∇V     b ∇×∇V    c  ∇·∇V

Q: x = −2x+6, x(0) = 0. (a) Use the integrating factor to find the general solution

A:

Q: 3. Compute x = 8623 mod1997 using the smallest number of operations (multiplications). 1805

A:

Q: Given: L: R³ R³, L(x, y, z) = (x+2y-z, -y,x+7z), ordered bases B = {(1, 0, 0), (0, 1,0), (0, 0, 1)},…

A: To determine the matrix of a linear transformation  Find the image of the basis vector. Determine…

Q: Let P2 denote the vector space of polynomials of degree up to 2. Which of the following subsets of…

A: As per answering guidelines answer of the 1st question is given here. Please repost the second…

Q: Estimate √3.9 using a linear approximation at a=4.

A:

Q: 15. y" - 4y' + 3y = 0; y(0) = 1, y'(0) = 1/3

A:

Q: then BCA > CAB. Let AABC be a triangle such that 0 BC,

A:

Q: why would one need to use the instantaneous rate of change instead of the average rate of change

A: The average rate of change is the total change of one variable divided by total change of the other…

Q: QUESTION 1 y I I I 21-- | I 0 0 Compute the value of X coordinate of the Centroid Use three (3)…

A:

Q: Show that the following data are exponential and find a formula for an exponential model. t f(t) t…

A: Given, t f(t) 0 448.00 1 488.32 2 532.27 3 580.17 4 632.39 5 689.30 We have to…

Q: Find the general solution to the differential equation (4y2+yx2)dy - (2x+xy2)dx = 0.

A:

Q: If one birchbark canoe can travel up to 16 km/h, then the equation for distance versus time would be…

A:

Q: Give the conditions on how you can determine the horizontal asymptote of a rational function.

A:

Q: 5. (10xy+8y² − 32y+7)dx + 2(x² + 2xy-4x)dy=0

A: Solution to the differential equation

Q: Let A E L(U, W), BE L(V,U) a (a) Show that (AB) = Bt At.

A: We are given that  A∈L(U,W), B∈L(V,U) and C∈L(U',W').......(1) The notations means that "the set…

Q: Take this polynomial: -3x4-7x³ + 2x² + 15x + 31. Without actually graphing it, how can you tell…

A:

Q: A vector field is specified as F= 2(x + y) sin zza, - (x² + y)a, + [10/(x² + y²)]a.. Specify the…

A: Given the vector field F=2x+ysinπz,-x2+y,10x2+y2. (a) Partially differentiating F with respect to x,…

Q: What semiannual sinking fund payment would be required to yield ​$49,000 seven years from​ now? The…

A: Calculate the rate per period and number of periods. Use these values to obtain the decimal from the…

Q: To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and…

A: Make a Venn diagram representing this scenario. Use the Venn diagram to yield the answers.

Q: The unpaid balance of an installment loan is equal to the present value of the remaining payments.…

A:

Q: Find the minimum and maximum values of z = 7x+10y, if possible, for the following set of…

A:

Q: A smooth curve is normal to a surface ƒ(x, y, z) = c at a point of intersection if the curve’s…

A: The given curve is rt=ti+tj-14t+3k. We have to show that this curve is normal to the surface…

Q: Let K be an extension of F. Suppose that E1 and E2 are contained inK and are extensions of F. If…

A: Given: K is extension of F. E1 and E2 are contained in K and are extension of F. To show : E1=E2  or…

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A: Given : y=-2(x+4)2-5  , x≥-2 To Find :(a)  Relation is function or not               : (b) Function…

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A: The given relation can be considered as a function  y=fx=13x+32-184x+82if x≥3x<-3…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A: y'' +14y' +28y=6675e2tcos15tFind yp that satisfies y'' +14y' +28y=6675e2tcos15t:For the…

Q: Exercise 1 For each of the following logical expressions, say whether they are tautologies, or give…

A: Given that the domain of quantification is the Boolean values TRUE and FALSE. A logical statement is…

Q: Solve the following system by Cramer's rule: 4x + 5y + 3z = 3 9x + y + 2z = 17 x + 5y + 2z = -3

A:

Q: Prove that the inverse of RF f(x) = -x-2 5x+2 is just the same with itself. Indicate the domain and…

A:

Q: Tina Mier must pay a $6,250 furniture bill. A finance company will loan Tina $6,250 for 8 months at…

A:

Q: (a) Graph the function f(x) = 1-x² x‡1 2 x = 1. (b) Find limx→1- ƒ(x) and limx→1+ f(x). (c) Does…

A:

Q: Convert x/(x-9)(x-10)(x-11) to factor polynomial

A:

Q: determine the function f(x)=C_1e^(-x)cos(x) + C_2e^(-x)sin(x) is a solution of the D.E. y"+2y'+2y=0

A:

Q: Compute the following: (a) Integrate the following vector field F = 2x cos(2)i + 2y cos(z)j — (x² +…

A: (a) Line integral along a curve C. (b)~using Gauss Divergence theorem  V is a volume bounded by a…

Q: 3. When The polynomial 8x^3 + 10x^2 − px − 5, is divided by 2x + 1, there is no remainder. What is…

A: Given :- The given polynomial is 8x3+10x2-px-5 is divided by 2x+1 then remainder is zero. To find:-…

Q: Ea- Determine the highest real root of f(x) = 0.95x³ - 5.9x² + 10.9x - 6. Also, compute for a. Using…

A:

Q: Let R be a commutative ring. Show that R[x] has a subring isomorphicto R.

A: We know that Rx is a ring of polynomials of the form a0+a1x+a2x2+…+anxn with coefficients in R where…

Q: Let (en) be a complete orthonormal sequence in a Hilbert space H and let (2n) be a sequence of…

A: Given that en be a complete orthonormal sequence in Hilbert space H and λn be a sequence of scalars.…

Q: 10. Given points. P(2,5,-1). Q(-1,-4,1), and 7(5,0,2), find: (a) the vector Reg: (b) a unit vector…

A:

Q: Can a (6, 3) binary linear code be double-error-correcting using thenearest-neighbor method? Do not…

A: Let us suppose that the C be a 6,3 binary linear code such that it can correct 2 errors with the…

Q: 1. Show that the size of the set of all positive integer multiples of 7 has cardinality No. 2. Show…

A:

Q: Solve ASAP please in 10 minutes in the order to get positive feedback

A:

Q: a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal…

A:

Q: dy dx √√₁² 2 = - X

A: Solution :-

Q: Let E be a finite extension of R. Use the fact that C is algebraicallyclosed to prove that E = C or…

A: Given : E Is finite extension of ℝ To show : E= ℂ or E= ℝ

Q: Obtain the general solution to the equation. dr de +rtan 0 = 5 tan 0 The general solution is r(0) =…

A: Given: Differential Equation-         drdθ+r tanθ=5 tanθ To find: General solution of the given…