The auxiliary roots of the following differential equation y" – 2y' + 5y = 0 are 3-V29 and 12 3+V29 21 = 12 = -2 2, = 2 2 This option This option = 2 and 1, = -3 1 = 1- 2i and d2 = 1 + 2i This option This option

Q: Apply the differentiation rules of a "quotient": ôn, (n ôn2 n Or a differentiation of a product of t...

A:  

Q: 1 3. If log, 2(x – 2) log, 4, then the value x is 2

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: dy The solution of the differential equation +y= exy? with y(0) =1 is |3|

A:

Q: Find: Sdx. 6e* ex-1

A: Introduction: The process of determining the area of the region under the curve is known as integrat...

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka...

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So t...

Q: 9. Find all second order partial derivatives of the functions given below. (a) f(x,y) = In(x + y) (b...

A: We have to find all the second order partial derivatives of the functions fx, y=lnx+y and gx, y=tan-...

Q: Evaluate the double integral (x-5 y) dA es A(0,0), B(2,-1), C(3, 0). Draw the region D.

A: Draw the given points A(0,0), B(2,-1), C(3,0) in the xy-plane.

Q: Problem 1 The following data recaps the number of portions of each menu item sold on Friday evening ...

A:

Q: 7. L {f(t)} where f(t) = t sin 2t sin 5t %3D

A: Use the trigonometric identity sin Asin B=12cosA-B-cosA+B to simplify the given function.  

Q: Two airplanes, at points A and B, have elevations of 23,000 feet and 18,000 feet, respectively. Both...

A:

Q: L{e' cos 3t}

A: Given etcos23t We have to find the Laplace Transform. Formula use1. cos2(x)=12+cos(2x)122. L{a·f(t)+...

Q: Which of the following is an equation of a Hyperboloid of Two Sheets? O z² = 1 - x² - y² %3D Ox2 - y...

A:

Q: Calculate the minimum value of: fx) = x,' + x,° +x, subjected to the following constraints: 2x, +x, ...

A:

Q: The following differential equation y': -xy2 is x2y+y2 Homogeneous Separable This option This option...

A: The given differential equation is: y'=-xy2x2y+y2   ........(1)

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: The amplitude of the steady-state solution of the DE y" +y+y= 3 cos (t) is Ag = 24. %3D O True False

A: Solution:-

Q: 1. (a) Plot the first four terms of the sequence 3n2 – - 3n + 2 2 n=1

A: For the first four terms, put n=1,2,3,4 resp.

Q: E If O is the midpoint of El and JM, what postulate or theorem proves that AEMO = AIJO? M O ssS Post...

A:

Q: dy x fan x 2. %3D

A: Introduction: The method of separation of variables is one of the basic methods that is used to deri...

Q: Prove that the sum of two symmetric matrices of the same size is symmetric. Prove that the scalar mu...

A: Solutions 

Q: Show graphically of the inequality 1. 2x+3y+5>o

A: Inequality: Linear equality is expressed of the form ax+by+c≥≤0. Instead of equal sign, an inequalit...

Q: These tuitions are expected to increase over time. If the annual rate of increase is 3 percent, what...

A:

Q: Let z = 3 – 4i and w = -1+ 2i be in C. (a) Write z + w, zw, and in the form a + bi with a, b e R. (b...

A:

Q: z- 7x+ y = 2 , 2y find r y 7

A: Introduction: Unlike Gauss/Jordan, the MATRIX INVERSE METHOD solves for the matrix variable X by lef...

Q: Solve the system of equations by any method. 6x + 11y = 15 x + 2y = 4 Enter the exact answer as an o...

A: Since you have asked multiple questions here, we will solve the first one for you. To get the soluti...

Q: Evaluate |⊂(R)| if R={n: n is a factor of 500}

A:

Q: 4. Construct a 2-dimensional CW-complex whose fundamental group is Z x Z/2 (and prove it).

A: Please check the detailed sol" in next step

Q: Minimize F(y, u) = f¿u²(t) dt under ý = -2y + u with y(0) = 1, y(1) = 0. Is your solution unique?

A:

Q: Question 1.5 a) Express the complex number (5-2i' in the form a+bż b) Epress the complex number belo...

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers...

Q: Gauss-Jordan Elimination Method. Solve the following system of linear equations using the Gauss-Jord...

A:

Q: There are 1200 freshmen enrolled in a big university. If there are 50 more males than females. How ...

A:

Q: Use an inverse matrix to find [x]g for the given x and B. 8 B = 5 3 X= 2 - 5 [x]g

A:

Q: isfies the differ and the auxi

A:

Q: 3) Given that h(x) = /(4x +3) or h(x) = (4x +3)7 and i(x)= 3x+1. i). Evaluate h(- ii). Determine i(0...

A:

Q: Assignment Term 1 2022 Mathematical Literacy Gr 10 QUESTION I The number of peyle who uses OR Tambo ...

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: 1. A bagel shop sells 6 kinds of Bagels. Find the number od ways a customer can buy (a) 9 Bagels, (b...

A: In this problem order doesn't matter and repetition is  allowed. 

Q: H.W: Select the divergence of F(x, y) i+ (2x – 3y)j. %3D 1 (b) -* +2, y2 1 (c) (a) 3, (d) -2. - - -

A: Multiple:   Divergence of a vector field find by taking the scalar product of the vector operator  ∇...

Q: Q4/ Solve the following quartic equation: 2x* - 16x3 + 37x? – 29x + 6 = 0

A: The given quadratic equation is:2x4-16x3+37x2-29x+6=0       ............(1)For x=1 we have from (1),...

Q: Note: if f(x) is increase or decrease always.then f has an inverse Ex/ show that f(x) = x +7x + 4 x+...

A:

Q: q22 When monitoring the spread of disease, the population can be divided into three groups; the port...

A:

Q: dx Find: x²V4+x2

A: We have to evaluate the integral ∫1x24+x2dx. It is clear that we have to use the substitution method...

Q: Bruce's Material Company hauls gravel to a construction site, using accompanying table. Bruce must d...

A: We will construct a linear programming problem according to the given conditions and solve it using ...

Q: (1) Show that b3 = 1, b2 = -Tr(A) i.e. the trace of A, and bo = -det(A). (2) Give an example of C = ...

A: This is a problem of Linear Transformation.

Q: Consider the following recursively defined sequence: 5 An+1 2° 1 -(а, + 2), п € N. aj = 1 for all n ...

A:

Q: Problem 13 *** 13. A company sells square carpets for $7 per square foot. It has a simplified manufa...

A:

Q: Square root of 100

A: Note:- In this problem any particular method is not mentioned. Either it can be solved directly or w...

Q: Example Evaluate a. 1 dx a² + x² b. 1 dr a² + x² C.

A: Introduction: Suppose, a real-valued function y=fx is given. There exists a function φx such that φ ...

Q: An airplane is flying at an airspeed of 750 km/hr in a wind blowing at 50 km/hr to the southeast. In...

A:

Q: Show that the function f(x, y, z) = x² + y² – 222 sat isfies the Laplace equation. - Good Luck.

A: Given function f(x,y,z)=x2+y2-2z2. We have to show function satisfies the Laplace equation. A functi...

Q: A wire is parameterized by 7(t) = where (t) is measured in cm. The linear density of the wire in g/c...

A: The complete solutions are given below