The value of a and b so that X(1 + a cos x)- b sin x lim =1 are .3 to 3 3 5 (b) 2 2 (a) 3 5 (c) 2 2 1 (d) 2 2. -/-

Q: Let W = {(" ): a + 2c = 0 and b-d = 0} be a subspace of M22. Then dimension of W is equal to: 4 2…

A: We know that  dim W = number of elements in basis of W  If S is basis of W then i) S is linearly…

Q: Example 2 If |z-= 2, then the difference between max (zl) and min (|zl) is: (A) 1 (B) 2 (C) 4 (D) 8

A:

Q: A function e : X → Y is an embedding if one ond for V

A:

Q: The interval of convergence of the power series n=0 n24n is [-4,4]. Select one: O True O False

A:

Q: b What is the general solution of the differential equation? Reason out why it is the general…

A:

Q: Question 4 Let A, B be the subsets of some universal set &, (a) Draw a Venn diagram for the set BN…

A: As you mentioned.. I will solve 4) a )

Q: 1. Evaluate the following integrals. | (csc 0)(1 + sin² 0 + sin 0 cot? 0) do а.

A: Properties of integration  ∫sinx dx=-cosx+C∫cosecxdx=-ln|cosecx+cotx|∫cosec2xdx=-cotx+C Properties…

Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

A:

Q: Write the Maclaurin series for f(x) = 3x? sin(9x) as >, C,x". n=0 Find the following coefficients.…

A:

Q: Let z, and z, be roots of the equation z² + pz + q = 0, where the coefficients p and q may be…

A:

Q: 2 2 -32 1 1 -2 Which of the options shows the graph of a function that has a local minimum but no…

A: Local minimum: Local or relative minimum is that point which is lower than the other points…

Q: 1. In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the angle a =…

A:

Q: Evaluate e-0.5 using: x? x3 e-x = 1- x + 2 3! a. Solve for the error criterion that ensures a result…

A: The Taylor series expansion for e-x given is as follows: e-x=1-x+x22-x33!+... (a) We are asked to…

Q: 6 Find the value of x 70

A: Introduction: A central angle is one with its vertex in the center of a circle. A central angle's…

Q: 1. Find the eigenvalues and eigenvectors of A = -2 Are the eigenvectors linearly independent? Why?…

A:

Q: "COUNTING MADE REAL" (Performance Task) Situation 2 Grade 10 class with 40 There are 10 contestants…

A: To find for the given situation 1,2 & 3.

Q: Which of the following is not a vector space?    A. The set of all 2x2 with integer entries and…

A:

Q: Divide x - x4 + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x2 + 1 plus the…

A: Polynomial long division and synthetic division are used to divide two polynomials.  The degree of a…

Q: Let M = {5x,x –1, x² – 1}. Which of the following statements is true about M? M spans P2 M spans P3…

A: We will find correct option

Q: VA – 3 4 2x + 1 X

A: To find the value of the given integral by substitution method. Here we change the dx to dz and then…

Q: 2. A particle is moving in space with position function R(t) = (sin(3t), cos(3t), 3 – 4t). 2.1. Find…

A:

Q: d²y + 6(x² + x) sin x dx² d²y + sin x dx2 dy dy + 6y sin x – 6 sin x dx dy = sin x + x²sin³x +…

A: In this problem we first simplify the equation to get Cauchy-Euler form and then solved the…

Q: 27TT 5. x = y? and x + y = 2 is revolved about y = 1. (Answer: с. и. ) %3D 2

A:

Q: Consider the series > 1 + x7n. n = 1 (a) Find the series' radius and interval of convergence. (b)…

A: Here we determine the radius of convergence using root test. Every power series is absolutely…

Q: Let S be the quadric with equation 36x2 – 4y² – 9z² – 36x = 0. (a) Classify the graph of S. (b)…

A: Quadric surface: It is a graph in the three dimensional space. There are six types of quadric…

Q: Problem 1. (i) Let A, B be n x n matrices. Assume that [A, B] = 0n and [A, B]+ = 0n. What can be…

A:

Q: -2 Let m be a real number and M = {(" ,). )}: 9- If M is a linearly dependent set of M2,2 then m=1…

A:

Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at xo = 0. (In 2 z…

A:

Q: 5. (a) Solve the simultaneous equations: 4x + 2y = 20) 5x – 2y = 7 5 %3D (b) M = ) N= ) 2 М — -2.…

A:

Q: . Arcsin(x/y) = 4x + 3y

A: Solution :-

Q: 10 at x + 4 x = 0 using the limit definition of the derivative. Find the derivative f' (0) of f(x) =

A:

Q: If f is bounded and integrable on [a, b] such that | f(x) | 0).

A:

Q: 260° to Find the value of x Ox- 260 Ox= 100 Ox= 130 Ox= 80 5.

A: Solution

Q: 2. Solve for the missing angle: 100 O x = 90 O x = 100 Ox = 80 O x = 40

A: Solution

Q: dt b) + 5y = 2, y(0) = 0 dt c) 3+y = 2, y(0) = 0 dt d²y dy d) 4, y'(0) = y(0) = 0 dt2 dt

A:

Q: For the pink region bounded by a parabola with vertex at (-1, 11 ) and the green line, solve for: a.…

A: Given, equation of parabola y=-a(x-h)2+k, with vertex (-1,11) ⇒y=-a(x+1)2+11 Given two points on the…

Q: Let m be a real number and M =}(: %3D If M is a linearly dependent set of M22 then O m=1 O m=6 O…

A: We know that two vectors are linearly independent if one vector is not the scalar multiple of the…

Q: If the acceleration function of a certain particle is given by a(t) the velocity function provided…

A: Velocity is the rate of change of position of a particle with respect to time. Acceleration is the…

Q: 1.. The olation to y'tby'494=o is, 0)- The eolution to yl +94=5 G8wt will exhibits d) Jesononce when…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the tangent line(s) to the parametric curve given by a = t5 – 4t3 y = t? at (0, 4).

A: Find the tangent line(s) to the parametric curve given by x = t^5-4t^3 , y = t^2 at (0,4).

Q: onsider the initial-value problem y" +4y 5 sin 3t, y(0) = 0, y/(0) = 3. y'(0) = 3. %3D %3D olace…

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: 1. Find the particular solution of the given equation, d'y dy +ty = 0 with y(0) = 1 and y (0) = 0…

A:

Q: the ar

A: Introduction: The formula of the area between the two curves f(x) and g(x) is given by,…

Q: Solve the following system of equations by the elimination method. Check the solution(s). 3x + 4y =…

A:

Q: 18 1324 - the Cartesian integral| - 18 Change dy dx into an equivalent polar integral. Then evaluate…

A:

Q: 2s - S 3. Let S = s, t e R i. Show that S is a subspace of R* ii. Find two vectors that span S ii.…

A:

Q: 3. Estimate the derivative using forward finite divided difference applying both truncated and more…

A:

Q: solve the determinants of the vandermonde matrix using Newton Interpolant (incremental…

A: Given: The left-hand side of the linear system of equations, obtained by Newton's interpolation…

Q: Leon invests a that offers 1.2 half-yearly. IC €6762.56. Cale his investmen

A: In this question, the concept of Compound Interest is applied. Compound Interest Compound interest…

Q: 9. Find the radius of convergence, R, of the series. Find the interval of convergence of the series.…

A: