Water temperature (degrees C) Fish respiration rate (bpm) 14 76 18 92 21 100 Imagine that you are a biologist interested in the effect of water temperature on the rate of fish respiration (breaths per minute). You have collected data (above) for three fish. What is the standard deviation in respiration rate for the three fish?

Q: Sketch the level curves of the function f(x, y) = = I x+y for c= -6.

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: In a certain bacteria culture the rate of increase in a number of bacteria is proportional to the…

A: We have to create a differential equation for the given problem. Let us denote the number of…

Q: dy dx 1 2016 1+x² Where y=0 When x=0 Find y (0,2) Correct to Four decimed places using Runge-Kutta…

A:

Q: Does anyone use ratios in their workplace? If so, can you provide an example and explain how it is…

A: Yes, Anyone use ratios in their workplace.

Q: Question 2 (2.1) Find the first four terms of this differential equation y' + x³y = 0 using the…

A:

Q: : Show that the integral equation TU g(x) = A (sin x sin 2t) g(t) dt pvaluos

A:

Q: Part 3 - Discussion Question Explain a "real world" example of a discrete relationship and also a…

A:

Q: Give one indicated root of (-16)^1/2 a. 2cis330deg b. 2cis165deg c. 2cis167.5deg d. 2cis67.5deg

A: Given complex number is z=-16iz=0-16i We express in rcosθ+i sinθ. Now, a=0b=-16 So,…

Q: Variables x and y are connected by the equation y = 3 + ln(2x - 5) Find the approximate change in y…

A:

Q: This question concerns the vector field F defined in Question 5. (a) State whether F is…

A: Given F=2xz i+2yz j+x2+y2k (a) So, p=2xzq=2yzr=x2+y2 Now, py=0pz=2xqx=0qz=2yrx=2xry=2y So, we can…

Q: Show that f(x, y) = point (5,-3). 3x+2y x+y+1 meets the three conditions for continuity at Add-ins…

A:

Q: Prove that div(x) .curl - curl w functions. 11 where and ware vector

A:

Q: Suppose that f(0.25) = f(0.75)= B. If the Composite Trapezoidal rule with n = 2 gives the value 4…

A: Given that f0.25=f0.75=βa=0b=1 When n=2 then h=b-anh=1-02h=0.5 So, according to Composite…

Q: A survey was taken that asked 1880 randomly selected adults from Country A and Country B to agree or…

A: Number of Country A servey people = 934 Number of Country B servey people = 1880 - 934    = 946…

Q: (a) Integrate g(x,y,z) = lnx'+y over the surface of the region cut from the plane 4x+3y+2z=1 by the…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Solve the BVP PDE: BCS: IC: u(x,0)=1,00 (0,1)=0, u(1,1)=0.1>0

A: What is Initial Boundary Value Problem: An initial boundary value problem is generally involved in…

Q: Equivalent Descriptions of Interior of an Angle. In class w possible definitions of the interior of…

A: Here, in the question given the description in the interior angle ∠BAC in part (a) having D in the…

Q: Let of N be groop, a G- Characteristic Subgroup that, it Prove NEK and Characteristic Subgroup к is…

A: As per the question we are given a group G and it's characteristic subgroup N such that : N ≤ K ≤ G…

Q: Construct an example of an 3x5 matrix with rank 2: You can resize a matrix (when appropriate) by…

A:

Q: Which set has higher cardinality: N or Z? Explain with example

A: Cardinality: The cardinality of a set A is the number of elements present in the set A. We denote…

Q: Construct an example of an 4×3 matrix with rank 1: You can resize a matrix (when appropriate) by…

A: Rank of Matrix: A n×m matrix has rank k , if k is the  maximum  number of its linearly independent…

Q: 1. Explain the difference between the following terms. Provide an example of each type of sequence.…

A: "Since you have posted multiple questions, so we will solve only the first question for you."…

Q: Roro is looking at the iterated integral (x² + y²) dx dy and suggest to Mpho that the integral does…

A:

Q: F.T. If X(t) + + X(W) and X(W) = 71² (1-70)X = (7) -1 (W+1) (2+jwj2 find Yow) if

A:

Q: Find F.T the: f(x) = 1+ (05 (6πt + I) let: and 1—2T8 (W) Coswo кро TT/S (W_W₁) + S(w+Wo) ]

A: To find: The Fourier Transform of ft=1+cos6πt+π8.

Q: The differential equation Exact Bernoulli 2 √(x² + y² ]y² = xy is Separable Homogeneous

A:

Q: rom an integral equation corresponding to the differential equation d²y dy dx² al conditions + X + y…

A:

Q: ↑ Given the following sets, find the set (A UBUC)'. U={1, 2, 3,...,6} A={1, 3, 4, 5) B={1, 2, 3) C=…

A: Given  U={1, 2, 3, 4, 5, 6} A={1, 3, 4, 5} B={1, 2, 3} C={2, 3, 4, 5, 6}

Q: y= Ae* + Bxex

A:

Q: Use the Rank method to test the consistency of the system of equations 3x + y + 2z = 3, 2x - 3y - z…

A:

Q: The table shows some data on the quantity of ice cream consumed at various prices and temperatures.…

A:

Q: Calculate the curvature and torsion for the following trajectories given by x(t) x(t) x + y(t) ŷ +…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: : From an integral equation corresponding to the differential equation d²y dy dx +exy = x dx² - sin…

A:

Q: -T, N. de (i) The concept of curvature and radius of curvature are defined by extending those con-…

A:

Q: Consider a group of n warehouses in a shipping network, where n>=2. In order to ship products across…

A: Here in the question it is given the number of warehouses in a shipping network having a set limit…

Q: Evaluate the integral [x² (y + 1) dx + = along the path ABCDA shown in figure." 21 y+z²+2 dy + xzdz…

A:

Q: Q-2 Show that the set of all vectors (a-3b, a+2c +4d, b+3c-d, c-d), where a, b, c, d are real…

A: We know that ℝn is a vector space of n tuples and we represent a vector x∈ℝn in the following form:…

Q: Domin of sinx

A: Domain of a function are all the possible values of x-coordinate The sinx curve is defined on all…

Q: Verify that x and/ are solutions to the differential equation x²y" + xy - y = 0 on (0,00). Solve the…

A:

Q: Find F.T the: f(x) = 1 + cos (6πt + I) let: and 1-2T8 (W) Coswo T/S (W-Wo) + s (w+two)] Wo

A: As per the question we are given the Fourier transform of the following functions as : 1  →  2πδ(w)…

Q: The following set of experimentally observed data (See Table below) seem to follow a linear…

A:

Q: The radius of the Earth is approximately 4000 miles. (Use this radius for all calculations.) (a)…

A:

Q: A total of 17,000 students entered Big State University in the fall of 2013. The following table…

A:

Q: 1) Consider (x, y, z) = 2xyz - x²y³ v(x, y, z) = xy² + y sin(z) F(x, y, z) = F₂(x, y, z)i + F₂(x, y,…

A:

Q: For sach of the following Sequence, write the formular for Calculate the 20th term @25, 6, 1, 3,...…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 4 Find the F.T. of the following Signals using differentiation prop. <-2 2 2 t 4 (sin² (w) - 2…

A:

Q: Of all points (x,y,z) that satisfy x+y+4z=24, find one that maximizes (x-1)2 +(y-1)2+(z-1)2

A:

Q: Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy…

A:

Q: Convert the differential equation d²y - 3y + 2y = 4 sin x dx² dx with the initial conditions y(0) =…

A:

Q: You are given two random variables X and Y. E(X) = 0.5, Var(X) = 2 E(Y) = 7, Var(Y) = 3.5 cov (X, Y)…

A: What is Variance: Variance is a spread measure for a random variable distribution that quantifies…