If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a + 1/c.

Q: Angle of a line with the positive direction of the x-axis is 0 (0 is a cute). The line is rotated…

A:

Q: Let f(x) = x² on [0, 2]. Compute the Fourier series f(n). Use Parseval's equality to compute: Σf(n)²…

A:

Q: INDEFINITE Use the idea of "un-doing 18. (3x³dx INTEGRALS a derivative" to find the following…

A: Sol:- 18. ∫ 3x2dxTake the constant out:  ∫a·fxdx=a·∫fxdx=3·∫ x2dxApply the Power Rule:…

Q: Find the solution of the following differential equation. 1. (eª + lny + 2) dx + ( + ln x + siny) dy…

A:

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given : x'=011101110x  ; x1=e2t111 ; x2=e-t10-1  ; x3=e-t01-1 x10=10 , x20=12  ,   x30=-1 (a) To…

Q: ax² + bx+c, g(x) = -ax² + bx+c, where ac # 0, th hat f(x) g(x)=0 has at least two rool roots

A:

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: Harmonic conjugate of the function so that function is analytic

Q: Time (x₁) 0 Value 500 000 (y-f(x)) 1 2 3 375 000 281 250 210 938 4 158 203 depicts the value (in…

A: Since there are multipart, therefore here solutions of part (a) and (b).

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

A:

Q: Solve the problem in the given system of linear algebraic equations using cramer's rule. [2x₁ +4x₂…

A:

Q: c1x1(a) + c2x2(a)+ . . . +cnxn(a) = x(a). Let X (t) be the n x n matrix with column vectors x1, x2,…

A: Given : Xt be any  matrix of n×n           : c be column with component c1 ,c2 , . . .  . . .  ,cn…

Q: Find. F.T the rect(t) vec ) دا t+1

A:

Q: Describe the difference between being confident that a conjecture is true, and being certain that…

A: To describe the difference between being confident that a conjecture is true, and being CERTAIN that…

Q: Find the F. T of the following Signals using. differentiation prop: X(t)=28(t + 2) -…

A:

Q: Name sets whose elements are (a) buildings, (b) people, (c) students, (d) trees, (e) numbers, (f)…

A:

Q: PLEASE DO THIS TYPEWRITTEN ONLY FOR UPVOTING AND SKIP THIS IF YOU ALREADY DID THIS. THANK YOU MONEY…

A: The piecewise function representing the given scenario is: fx=95            ,   if x≤1500110…

Q: f the coordinate axes,

A: The DCs of line are l = cos? , m= cos? and n=cos?

Q: Q4) Find the complete solution of the following equations: a) y" +3y' = sin x + 2 cos x (15) b)…

A:

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

A:

Q: If a non-zero function f(x) is symmetrical about y = x, then the value of p (constant) such that…

A: f(x)= is symmetrical about the line y=x. f(x)=f-1(x)

Q: 6. What is the coefficient of the term independent of x and y in the multinomial expansion (5x + ³ +…

A:

Q: Complete the table. Write fractions and mixed numbers in lowest terms. Fraction Decimal Percent 13…

A:

Q: 5.) est cos 9t sin 6t

A:

Q: list the numbers (in base 10) that are in the set F(2, 2, −2, 2).

A: Here we need to list the numbers (in base 10) that are in the set F2, 2, -2, 2. Base 10 numbers: In…

Q: 1a. Given vectors v₁ = (1, 0, 0) and v₂ : (1, 0, 0) and v₂ = (0, 1, 0) in R³, find a vector V3 such…

A:

Q: /3 0 0 8. (3) The matrix R=0 1 0 has 0 0 3/ (a) dominant eigenvalue (e) no dominant eigenvalue a O b…

A:

Q: the values of the elements of an RLC circuit are given. Solve the initial value problem di - i(t) dr…

A: Given: The initial value problem is Ldidt+Ri+1C∫0tiτdτ=et and the condition is i0=0. The given…

Q: Let P(x) means "x is a freshman" and Q(x) means "x is a math major". Write the statement "Some…

A:

Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A:

Q: 4. Let f(x, y, z) = cos(zy) - e²². (a) (b) (c) Find an equation of the tangent plane to the level…

A: Disclaimer: Since, you have asked to solve part (A) and (B), the two parts have been solved. Please…

Q: Give brief Explanation of Special Case of a Repeated Zero Eigenvalue?

A: In this question, we have to give the brief explanation of special case of repeated zero Eigen…

Q: 3/2 (1 +i)"

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Solve the system 21 12 23 || -10 1 0 -9 -10 1 0 +s 0 1 0 1 +t 1 0 4x1 -3x2 -I1 +12 -212 +3x2 3x1…

A: The given system of linear equation…

Q: Let 5 1 -1 M = 2 -4 -3 3 0 -5, The row echelon form of the matrix is (Use the fang cheng method so…

A:

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A:

Q: = 1 Find the minimum value of f(x, y, z) = 3x − y − 3z subject to x² + 2z² - - and x + y -z = 0.

A:

Q: 21-3 -da it converges find this value

A: I have given the answer in the next step. Hope you understand that

Q: 3.) 12 sin ¹3t Note: a¹ = (a²)² 2

A:

Q: k Q3: Solve the difference equation: y[k]y[k - 1] +y[k - 2] = () using Z transform.

A: What is Difference Equation: A difference equation is any equation that has a variable difference.…

Q: Prove that if a polynomial function p(x)= a + ax + ₂x² is zero for x=-1, x-0, and x-1, then a - a₂…

A:

Q: The equation 0.5(e* e*) + 5cosx = 2 has at least one solution in the interval [1.5,2]. O True O…

A: by intermediate value theorem  f(x)=0 is any equation in [a,b] if f(a)<0 and f(b)>0 then there…

Q: Verify that if k is a constant, then the function y(x) = kx satisfies the differential equation xy'…

A: Given the differential equation  xy'=y for all x and ya=b

Q: If the roots of the equation x - 8x + a² - 6a = distinct, then find all possible values of a.

A: Since the roots of the given equation are real and distinct, We must have…

Q: 7. The least square curve of the form y = ab* to the following data is (a) y = 3 ex In2 (c) y = 3 e2…

A: Hint: Substitute the given values in the given options and identify the correct one.

Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

A:

Q: 5. Given that a, + a₂ + a₂ + a₂ + a₂ + a = 29, where k € (1, 2, 3, 4, 5, 6) and a is a non-negative…

A:

Q: Q1] Solve this system of simultaneous diffe dx dt +7x + 2 equations. dy + 8y dt = 2et dy 7x+x+8+2y =…

A: Sol

Q: A system that is initially at rest has response x(t) to an input u(t) and is described by the…

A: Sol

Q: a) Describe the curve obtained when we make y = 2 and 2= √2 a f b) Represent on this curve the…

A: Given That : y=2 and z=2 To Find : a) Describe the Curve obtained when y=2 and z=2 b) Represent on…

Q: 4. 3276810 ABC16 + 1001001101г × 4618 101010 СОДА 212 123 = 16

A: