3. y" +4y'+4y=0 __(Use reduction of order method)

Q: If A = 1 -9 -9 -6 -4 and AB = 1 D -1 9 -3 -3 6 ww -6 ? a ? ? PP ?? 9 5 B-1 9 ∞ C 3-8 1 what is the…

A: We have to multiply the two matrices then find the value of a.

Q: The equation of the tangent plane to the surface x² 8 at the point (2,-1, 3) is Select one: O x-2…

A: In this question, we want to find the equation of the tangent plane to the given surface.

Q: Calculate the double integral in a general region where z = 2y bounded by x = x²+1 0, x= 1, y = 0, y…

A:

Q: please solve d-f now. thanks.

A: We have to find the composition of functions.

Q: a) [ : Find the volume of the solid obtained by rotating the region bounded by the lines «<math y =…

A:

Q: The normal vector to the tangent plane for the surface xy² z³ 2 3 = -4, at the point (1, 2, -1) is:…

A:

Q: Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the…

A: This question can be solved using the concept of exponential growth model.

Q: The maximum rate of change of the function 1 f(x, y) = at the point (1, -2) happens in direction of…

A: I have find the direction and value of maximum rate of change of given function and say that given…

Q: The function f(x, y) = 2x² + 4y² + 2x³ has a local maximum at the point (0, 0). Select one: O True O…

A:

Q: Find the domain of the vector-value function r(t) = www Domain: {tt # MORA 4t4, t², 1 (t - 2)5

A:

Q: Use an iterated integral to find the area of the region bounded by 2x - 5y = 0, x+y=6, y = 0.

A:

Q: [ 1² dx dy = 1/2 Select one: True False

A: Evaluating the definite integral

Q: lim (In(x))/x

A: We use L'Hospital rule to evaluate the given limit.

Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y + 2? Select one:…

A: We can find the answer as below.

Q: 1. Find the gradient of the function f(x, y) = x² sin y.

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

Q: 1) Use reduction of order method with y₁ (x) = e³x to find a second solution y2 for the DE: y" - 9y…

A:

Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

A:

Q: The function f(x, y) = -2x² + 4y² - 12 has a local maximum at the point (0,0). Select one: O True…

A:

Q: The maximum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

A:

Q: 1- On donne: a- Résoudre l'équation: f(x) = 0 b- Trouver la dérivée : f'(x) c- Calculer: f(In 2) 1-…

A: Given data fx=e2x-3ex where,x∈R We need to solve part a,b,c

Q: If    f(x) = 2 cos(x),    0 ≤ x ≤ 3pi/4,    evaluate the left Riemann sum with  n = 6,  taking the…

A: Given :fx=2cosx   , n=60≤x≤3π4

Q: Match the vector-valued function with its graph. r(u, v) = ui + vj + uvk -2-1 2 2

A:

Q: ( 3x³ - xy² 2 3xy+y dy 3 dx = 1 |

A:

Q: Find the absolute extrema of the function on the closed interval. f(x) = 7x² + 2, [-1, 2] -(0,2…

A: The answer is given below:

Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

A:

Q: Current Attempt in Progress Evaluate the integral by applying the following theorems and the power…

A:

Q: 3. Evaluate the following: (a) [eve da

A:

Q: Let f(x, y) = 3x² + 2y² − 2xy — 1. Find the local maximum and minimum values and saddle points of f,…

A: Double integral, Maxima minima

Q: Work Problem 2 [ Question 1 You must provide a clear and detailed solution. Given the region D in R2…

A:

Q: Find a vector-valued function whose graph is the indicated surface. The plane x + y + z = 2 r(u, v)…

A: Given plane    x+y+z = 2                 this gives   z = 2-x-y            Now, let  x=u    and…

Q: If y=+*+9x²+26x+24 gấp 46 find f'(2).

A:

Q: The Integral f f 1- y² dxdy is equal to: Select one: O None of them O оос 13 23 1|23|2

A:

Q: Consider the following vector field F(x, y) = Mi + Nj. F(x, y) = x²i + yj (a) Show that F is…

A:

Q: Find y' and the slope of the tangent line to the graph of (3x-2y)5 = 2y2-9 at the point (1,2). y'=0…

A:

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

A:

Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

A:

Q: Question оо Select one: O 0 O None of them. 8 WIN s): Evaluate 02 2n³ lim n→∞ n³ + 3

A:

Q: A rectangular page is to contain 76 square inches of print. The margins on each side are 1 inch.…

A:

Q: The Integral f fyr² dyda can be written as: Select one: ọ Sổ Sing dady O None of the others Of fyr²…

A:

Q: Reversing the order of integration in the integral SS²ydydx equals: Select one: A. None of them B.…

A: Since you are asking multiple questions. We are answering only the very first question as per ous…

Q: Find the points of inflection. 7) f(x)=x√√9-x2

A:

Q: Use the Laplace transform to solve the given initial-value problem. y + 4yet, y(0) - 2 Step 1 To use…

A: By using the Laplace transform to solve the given initial‐value problem.y'+4y=e3t, y0=2

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, on the…

A:

Q: z² = √√√xe²y-x. Consider the surface described by the equation a Find the equations of the normal…

A:

Q: How many critical points the following function has, h(x, y) = 1 + x³ + x + xy²? Select one: O None…

A: We can find the answer as below.

Q: Which of the following is the critical point of the function f(x, y) = x²y = xy? - Select one: ○…

A: The given function is: fx,y=x2y-xy To calculate the critical point, we have to solve the equations…

Q: The function f(x, y) = -2x² + 4y? - 11 has a local minimum at the point (0, 0). Select one: O True O…

A:

Q: Solve the following equation. [Hint: Change log 16x and log 4x to base 2.] log 16x + log 4x + log2x…

A:

Q: c) [ : Consider the series: 1 49 7-1+ 1 + i) Is the given series a geometric series? Explain. ii)…

A:

Q: Evaluate the integral 0 2 0 2-x xdydx.

A: