In a laboratory, some bacteria were put in a beaker for cultivation. The number ( in the beaker after t hours can be estimated by: N=2000-1800 (0.65)

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A: Euler's rule for finding the solution of first order  differential  equation with initial…

Q: - ; Let A be a square matrix such that A? – 7A+ 81 = 0 (where I and 0 are the identity and zero…

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Q: Consider the rormal line to the surface z= z + y? (parabokoid) at the point P(1,1, 2) Find the point…

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Q: Let p(a) represent the number of pounds of grass seed required to seed a lawn with area a. Let c(s)…

A: Let f(x) and g(x) be two functions. The composite function, f∘g(x) can also be written as…

Q: , Please state one possible violation of standard model assumptions ual plots below (one sentence…

A: Given information: Residual plots are given.

Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

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Q: Tick all the questions or statements that can be proven or answered using mathematical induction.…

A: Mathematical induction states that, if a statement is true for 1,m then it is to be checked if that…

Q: Use the fact that \bF = (2xy + 3cosy) bi + (r? - 3xsiny) bj, is a gradient vector field to evaluate…

A: Given F = (2xy+3cosy)i+(x2-3x siny)j As F is a gradient vector field, it can be rewritten as F=∇f…

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A: The equation of a plane is given by the formula ax+by+cz=d. The planes can be made depending upon…

Q: Explain why the following statistics may be difficult to interpret, or misleading without further…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Consider the differential equation V2 cos 0) (µ – cos 0) 2 - - on the circle, where µ is a real…

A: "According to bartleby guidelines, we are not allowed to provide a handwritten solution" Given the…

Q: 29. At a construction site, there are boards that measure 44 Find the relative error of this…

A: Given problem:- At a construction site, there are boards that measure 4.5 Find the relative error of…

Q: If the sales per day of a start-up company can be modeled using the function s(d) = d° + 10, what is…

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Q: f(x) = 1+x tan? r is f(x) uniformly continuous on [0, +o0)? Prove your result.

A: TheoremIf f:[0,∞) →R Be continuous on[0,∞) and limx→+∞ f(x)=0, f isuniformly continuous on…

Q: 7.18 Consider the system à = -a + x²y -y3 – 23 Describe the asymptotic behavior of the solution with…

A: Given: The system, x∙=-x3+x2y y∙=-y3-x3   To describe: The asymptotic behavior of the solution with…

Q: Question 1 Use the separation of variables technique to solve y=y/r(r+1), with y(1) = 3. Question 2…

A: Question 1:Solution:            y'=yxx+1                        ∴dydx=yxx+1                        ∴…

Q: b.Twenty means were piotted on a control chart. An analyst counted 13 runs above/below the median,…

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Q: Q2: Which of the following statement is TRUE for the trigonomets function given below: y = -4 cos…

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Q: Draw a rough graph for the following function. f(x) = 2a ( – 3) (a + 5)°(+ 2) T-intercepts, as…

A: Question: Draw the rough graph of the function f(x) = -2x^3(x-3)^3(x+5)^5(x+2)

Q: Consider the cylinder x² + y² = 1, and let S₁ be the part of the cylinder that lies between the…

A: The given surface is S=S1∪S2, where S1 is the part of the cylinder x2+y2=1 that lies between the…

Q: 9) Use your answer to the previous problem to evaluate the infinite series D ()". 100

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Q: Divide. (x²+9x+23)÷(x+6) Your answer should give the quotient and the remainder.

A: To Solve : x2+9x+23÷(x+6)

Q: By using a suitable Fourier transform, the solution of 9u

A: In this question, we have to solve the wave equation by using Fourier transform. The wave equation…

Q: Use finite difference method to solve the heat equation with K = 1 for a 1-meter thin rod with…

A: We use the method suggested finite difference.

Q: C. The following data are the number of defects per spool of cable ORSERVATION E2E9 3 11 12 13 14 23…

A: We have given, Number of defects per spool of cable We have to find conclusion for median and up…

Q: 6. Verify that the line integral and surface integral of Stokes' Theorem are equal for the following…

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Q: The Fourier coefficients of a system with period T are bm all am 0. What is the frequency of the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Locate the centroid (, y) of the shaded area.

A: The centroid of the shaded area is determined as shown below.

Q: 3. A function g(x) is a probability density function function g(x) = -&- 5z 5e is a probability…

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Q: Solve the heat equation 1 Ut = Upr + -Ur + 0, 0 0, -0 <0 < oo.

A: we have  urr+1rur+1r2uθθ=0..... (i) let us take u=p(θ)q(r)  now  urr=p(θ)q"(r),ur=p(θ)q'(r),…

Q: y? 144' 64 3. Consider an ellipse = 1 (see figure 6).A line is drawn tangent to the ellipse at a…

A: Consider data based figure   co-ordinate of P(7,7) co-ordinate of Q (4,8) line QR passes through…

Q: The number of the element(s) of order 13 in Z13 O Z13 12 None of them O 13 169 168

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Q: Q3: Solve the given Exact Differential Equation (Cosx Sinx - xy?)dx + y(1- x2)dy = 0; y(0) = 2 %3D

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Q: Consider the vector field f (x, y, z) = xz i + yz j+ x²y² k . Let S be the surface of the sphere of…

A: Using parametrization of the surface and curve

Q: Calculate the coordinates of the vector w obtained by rotating anticlockwise the vector v= [0, -1,…

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Q: Question: Let Ø be R'. Let u be a a homomorphism of a with ring R unit in R. Show that Ø(u) is a…

A: Given that  ϕ be a ring homomorphism of a ring R onto a non-zero ring R' and u be the unit in R. To…

Q: The input-output matrix for a simplified economy with just three sectors (agriculture,…

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Q: Suppose f: [a, b] → R is Riemann integrable, that is, f = R([a, b]). Prove that 72 b fº* f(x) dx =…

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