Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.) 3x² +ax + a +9 x²+x-2 lim x--2 Find the value a. Evaluate the limit.

Q: Find the given inverse Laplace transform. 1 € - ¹3 s² +45+5 a. e²¹ sin(t) b. e-2¹ sin(t) C.…

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Q: Solve the given equation.. (3x²y + 2xy+y³)dx + (x² + y²)dy=0

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Q: 2. Draw a contour map of function f(x, y) = 2x/(x² + y²) showing several level curves.

A: We Know that  The level curves of a function f of two variables are the curves with equations f(x,y)…

Q: 5.2. Give the estimated logistic regression decided upon and give the odds ratios for regression…

A: Given is the summary of logistic regression to predict the effectiveness of treatment (Y) based on…

Q: 3. Solve the following system using LU-decomposition: 2x1 +8x=-2 21-22-2

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform e-s s(s+1) a.…

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Q: We would like to assess if the population mean annual gross salary (in $1000s) for adults with a…

A: Here we've to test for averages.  The population mean annual gross salary for adults with a…

Q: curl(F) · dS = F· dr

A: (a) Given that F=5y,-2x,6y and S is the surface bounded by x2+y2=25, z=2 curl…

Q: Question 5 5.1. A study was conducted to ascertain the effectiveness of a treatment of diseased…

A: Note: As per the requirement solving first question. From the given information, the effects of the…

Q: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp…

A: The model for the population is suburb of a city is given by .

Q: Solve the equation y"+y=f(t), y(0)= 0, y'(0) = 1 f(t) = { 1 0<t<π/2 π/2≤t<∞ F(s) = a.…

A: 5.

Q: Let y'=2xy²; y=- 24 16-x²1 y(2)=2 Then by considering y=(x) as a solution of the differential…

A: y'=2xy2 Then y=2416-x2,y2=2

Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

A: Here we have to find the singular point and find whether they are regular or irregular singular…

Q: A particular solution of y" +9y=2cos(3x) + 3sin(3x) 1 xsin(3x)-xcos(3x) 2xcos (3x) -—-xsin (3x) xsin…

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Q: (b) The straight line (0, 0, 0) to (2, 1, 3) 3.10 A vector field is represented by F = p°a, + zas +…

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Q: Find (4t + 1)u(t-1)} e-5(55+4) s² a. b. C. d. O Ob OC Od 3e-s 5² S e $(5s + 1) s² e-5(55-4) 5²

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Q: x² 12 2. 5. Co

A: Question: Values of x are given, we have to calculate the values of x2+2.

Q: Give the substitution that converts the given nonlinear equation into a linear equation then solve…

A: is the required transformation that converts the given nonlinear equation into linear equation.

Q: Find all complementary functions of the equation y" + 2y'+y=0 a. cosx,sinx b. ex,ex c. ex.xex d.…

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Q: where f(t)={ a. y(t)=1+t-e'-2(t-e¹-¹)u(t-1) b. y(t)=1+t-e¹-2(t-e¹-1)u(t-1)…

A: where