2 1.² + a² 6² 1² Find the area enclosed by the ellipse x² that the area common to ellipse a² b² 2 auxiliary circle x² + y² = a² is equal to the area of another ellipse whose semi axes are a and a - b. = 1. Also prove x. =1, a> b and its

Q: Determine the convergence or the divergence of the series: 00 n=1 1 + n lnn n² + 5

A:

Q: Refer to the data set: y 12 -2 -1 40 6 3 2 13 ندان | درام | ندا 3 Part a: Make a scatter plot and…

A:

Q: Find a. the mean; b. the deviation from the mean for each data item; and c. the sum of the…

A:

Q: 1 Use the Mean Value Theorem to show that 1+x 0.

A:

Q: Find the first 5 terms of the solution: (x+2)y' - 3x 1 + x + x² ; x₁ = 0

A: Given differential equation is                  x+2 y'-3y=1+x+x2  ;    x0=0    Rewrite the above…

Q: Convert the following linear program to standard form: Maximize z = 3x1 + 5x2 - 4x3 ubject to 7x1 -…

A:

Q: Consider the recursively defined sequence s1 = 1 and sn+1 = 1 / (4 - sn) for n  ≥ 1. i. Prove that…

A:

Q: The city council proposed to utilize government-owned land with an area of thirteen thousand two…

A: We will find total  cost of fencing in terms of single variable and then use 2nd derivative test to…

Q: 1) Express in cylindrical and spherical coordinate systems. Cylindrical Spherical Coordinates…

A:

Q: Use cylindrical coordinates to find the indicated characteristic of the cone shown in the figure.…

A:

Q: Consider the Polar relation r=2+3 cose. Create the Cartesian graph for the function with r= y and =…

A: Given, r = 2+3cosθ   ;    0≤θ≤2πy = 2+3cosx   ;    0≤x≤2π

Q: Question 6. If F(s) = -3s² + s +1 s(28² +58 + 8) f(0) equals: lim f(t) equals: t-∞ f'(0) equals: is…

A:

Q: The Martinez twins, Carlos and Clarita are trying to find a way to make money during summer…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: A. Generate solution of the higher-order differential equations using different analytic techniques.…

A: Please find attachment

Q: Write the standard model equation for variation for each of the following: a) The speed (V) of the…

A:

Q: Select the graph which satisfies all of the given conditions. Justify your answer in terms of…

A:

Q: Problem 20 For the volume of a hemisphere defined by verify the divergence theorem for the vector in…

A: in this question ,it is understood that the equation of the hemisphere would be x^2 +y^2 +z^2=9. in…

Q: (b) Show that condition (2) implies condition (3). (c) Show that condition (3) implies condition…

A:

Q: 1+2 2√(1-2x2 +2²) (P₁+P+1) 2"

A:

Q: Evaluate dz/z-2 around (a) the circle |z − 21 =4, (b) the circle |z1|=5, (c) the square with…

A:

Q: Calculate the integral approximations T4 and M4 for (In x)-³ dx. Your answers must be accurate to 8…

A:

Q: Question 4 Use Indirect Proof to solve the following: 1.-A-> B 2. ~(~A.B) /A

A: The argument is: ~A→B~~A·B∴ A          Let the argument be invalid. Then the conclusion is false and…

Q: The biological relationship between the growth for the fish population and the size of the fish…

A:

Q: 2. Let L: R4 R3 be defined by L ([u₁ u2 uz u4]) = [u₁ u₂+ Uz Uz + U₁] Let S and T be the natural…

A: We can find Matrix representation of the given transformation.

Q: Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors…

A:

Q: Find the Laurent expansion of that are valid for (a) |z| 2; f(z): = 1 (z+1)(2+2) 1 2+1 1 2+2

A:

Q: 2. h(x) = (3x²-2)² (4x −7) 2 4x² - ;x=2 '

A: Formulas of differentiation ddxf(x)g(x)=g(x)f'(x)-f(x)g'(x)g'(x)2ddxxn=nxn-1

Q: A large field is occupied by snakes and rats. The rats eat everything they can and the snakes eat…

A: We are given the following information. A large field is occupied by snakes and rats. The population…

Q: Let F(x)= x²-1 |x-1| 3 (1) Calculate lim F(x) and lim F(x); (2)Does lim F(x) exist ?

A: According to guideline we need to solve only one question. Rest of the question should be reposted

Q: I. Solve the following integrals: 1. (x²Inx+ sin ¹2x + sec³x)dx

A:

Q: The eigenvalues of A = B A 2 = -1,2₂ = 1 1 с D E 2 = 1 4 2 1 5 -4 - 1,2 = 0 2 = 1 3] None of the…

A: Given: The given matrix is A=4-35-4. To find: We have to find the eigenvalues of the matrix A.

Q: If f(x, y) = e³ sin 7y, then fry is given by: 21 e³ cos 7y 21 e³ sin 7y O O O 21 e³2 sin 7y O 21 e³…

A:

Q: 16. u(x) = x³ – x³ + 51⁄² tu(t)}dt 10

A: Given Volterra integral equation is        ux=x3-x5+5110∫0xtutdt From the modified decomposition…

Q: 1) Express in cylindrical and spherical coordinate systems. Cylindrical Spherical Coordinates…

A:

Q: S (s − 1)³ -

A:

Q: 40. Evaluate c (52² − z² + 2) dz around (a) the circle [z] = 1, (b) the square with vertices at (0,…

A:

Q: 2 Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work,…

A: According to guidelines we have to solve only first three subparts.

Q: Consider the recursively defined sequence s1 = 1 and sn+1 = 1 / (4 - sn) for n  ≥ 1. i. Prove that…

A:

Q: The equation: 3x - 4y = 5 represents a line. What is the distance of the line to the origin? Round…

A: The perpendicular distance of the line ax+ by + c= 0  from origin is given as |c| ÷ ( √(a2+ b2))​

Q: (a) Prove that () = 1, (n) = 1, and (^)= (₁ = ¹) + n if 1≤k ≤n-1. (b) Use part (a) and induction to…

A:

Q: Beginning inventory and purchases Units Unit Cost Total Cost Jan 1 60 $7 $420 April 1 45 $10 $450…

A: Beginning inventory and purchases Units Unit Cost Total Cost Jan 1 60 $7 $420 April 1 45 $10…

Q: Each letter of the alphabet is assigned a numerical value according to its position in the alphabet.…

A: The inverse function of a function f is a function that undoes the operation of f. The inverse of f…

Q: diagonalizing matrix P and a diagonal matrix D such that P-1AP-D, if mat diagonalizable. 3-2 0 1 4

A:

Q: 7. Continuous Compound One thousand dollars is deposited in a savings account at 6% yearly interest…

A: Given amount P $1000 Rate of interest r%=6 Final amount A=$2500

Q: Please answer using GUFSA method and please also use the formulas attached. 1. In order to save for…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Calculate the volume under the elliptic paraboloid z = 3x² + 6y² and over the rectangle R = [-2, 2]…

A: The given problem is to find volume under the elliptic paraboloid z=3x2+6y2 and over the region…

Q: +vides 12,use Leibnitz rule to convert the Volterra integral equation of the first kind to a second…

A:

Q: 8. z"+92-1: z(0)=0-(0)

A:

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: To transform the equation use the transformation  x=x'cosθ-y'sinθy=x'sinθ+y'cosθ The equation of…

Q: What is the mass of a wire that is bent in the shape of the portion of x²+4y²=4 traced from (2, 0)…

A: Density function fx,y=9xy The wire is bent to the shape of x2+4y2=4 The wire is traced 2,0→0,1