000 SUD 31 (i) y" +4y= 2 cos²x+10e

Q: solve each equation in the interval 0<=\theta <2\pi  a)sec^(2)\theta =4 b) sec((5\theta )/(2))=-2

A: solve each of the following equation in the interval 0≤θ&lt;2π (a) sec2θ=4 (b) sec5θ2=-2

Q: Which cross-section absolutely cannot be used when solving the problem in the lesson? a. Disks b.…

A:

Q: Given transformation T: R³ → M2x2 which is defined as T(x, y, z)=(x + y ) 1 M2x2 is a vector space…

A:

Q: Solve the quadratic equation: 2 z² − (3 + j5)z +j8-5=0 -

A: To Solve: the complex quadratic equation z2-(3+5j)z+8j-5=0.

Q: Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is…

A: Solution:-

Q: in rectangle WASH, point E lies on line SH such that angle AWS is congruent to angle HWE. Point D…

A:

Q: choose

A: Given: Disjunctive Resolution. We have to choose correct option from given four option.

Q: 6. Suppose you have 105 blocks. You want to stack up all the blocks so that each row has one less…

A:

Q: 4. Determine the number of possible routes from A to B if you travel only south or cast. a) A B b) A…

A: Solution :-

Q: Let f(x)=√3x-2 on the interval 1 1. Revolve the region between the curve, y=1 and y-axis about the…

A:

Q: Problem 1: Evaluate the definite integral using all three composite rectangular rule strategies with…

A:

Q: For the function f(x, y) = -xy2, find the solution from x = 0 to x = 1 with an increment of 0.2 by…

A: Given function: f(x, y) = -xy2 and the initial condition is x = 0 at y = 1. To find the solution…

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: Solution

Q: Let W be the subspace of R4 spanned by {u₁ = (1, 1, 1, 1), u2 = (2, 4, 1, 5), u3 (2, 0, 4,0)). Using…

A: The solution is given as

Q: NEED ASAP!! By using laplace transform to solve y’-y=cosht with y(0)=0, what would be the particular…

A: First we will take the Laplace transform of both sides then we will use the initial condition y(0) =…

Q: Show that matrix multiplication is associative i.e. A(BC) = (AB)C when- ever the multiplication is…

A:

Q: Find the Fourier transform of the given waveform. A1) -2 -1 1 0 1 2 (s)

A:

Q: Complete the proof: If A≤B and B≤C, then ACCn(transitive property for set in inclusion) Need to…

A:

Q: Find a particular solution Ур of the following equation using the Method of Undetermined…

A:

Q: Evaluate. [ 10.xªtan (2x³ + 3) dx

A:

Q: = r² at r = 1,0 = 4. Write the linear approximation of the paraboloid z=

A: The given paraboloid is z=r2. To find: linear approximation of the given paraboloid.

Q: Create a quadratic model for the data shown in the table 1 -1 X Y -1 -1 Oy=0.85x² +0.11 - 1.78…

A:

Q: i) Discuss the pros and cons of the various numerical methods such as the bisection method, linear…

A: The Bisection method is a method used in mathematics that helps an individual find the square root…

Q: 1. Use Newton-Raphson method to find sixth iteration of a real root of the equation: cosx-xe* =0…

A: Formula Used: xn+1 = xn - { f(xn) / f'(xn) } .

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

A: Volume of the region is evaluated by Washers method for rotation about the x-axis. Find the attached…

Q: i s'ex eo e V². (-^x) dy dz -jz 00

A: Solution : a∧x.a∧x=1 ∫01∫01a∧x∈0e-jz.(-a∧x)dydz =-∈0∫01∫01e-jzdydz =-∈0∫01e-jzdz =-j∈0e-j-1

Q: 4. What is the units digit of the number 31.000.000 a) 1 b) 3 c)7 4) 9 5. A scale model of a…

A: Unit digit of number of the form  xy follow a pattern when y is increased which depends on unit…

Q: Suppose m> n. Show that L x"

A:

Q: Numerical Integration: r2 S 1 √x 1. dx

A: We have to evaluate the finite integral. ∫021xdx   Integration formula,  ∫xndx = xn+1n+1+c

Q: Find the general solution to the equation. First find a small integral root of the characteristic…

A:

Q: B' B 1. Establish two perspectivities so that a projectivity is established between A, B, C and A',…

A: 1) By using Desargues theorem , we can established projectivity between A,B,C and A' , B' , C'.…

Q: An observer on the ground is 12m away from the foot of the tower 40 m high. A stone is dropped from…

A:

Q: Instruction: Divide the given straight line AB externally at a point P such that AP:PB = a:b Methods…

A:

Q: 4. Let Z5 = {0,1,2,3,4}. 4a) Find the value of x that makes (2+5) X5 4 =_1 in Z5 true. Complete the…

A: Given :  ℤ5 = 0, 1, 2, 3, 4. To find : (i) The value of x in  ℤ5  that satisfies  (2 +5 x) ×5 4 = 1.…

Q: Write down the six elements of S3 and give the multiplication table for the group. The six elements…

A: Given six elements of S3 are     1=123123, a=123231=123 , b=123312=132, c=123213=12, d=123321=13,…

Q: The general solution of (D²-2D+1)y=2sin x A) y=ce*+C2xeX+sinx B) y=c1eX+C2xex+cosx y=C1eX +C,XeX…

A:

Q: Use the multiplication table to divide the given numbers in the indicated base. 2four 200 four

A: Solution :-

Q: Find the maximum and minimum values of the function f(x, y, z)= 3x - y - 3z subject to the…

A:

Q: Solve: y""(t)- y" (t) + y' (t)- y(t) = H(t); y(0) = 0; y'(0) = y" (0) = 1; where H(t) (t+3,0 ≤ t <1…

A:

Q: Using Bisection method find the root of cos(x) - xex=0 with a = 0 and b = 1. Show your solution…

A:

Q: Solve the exact differential equation (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy =…

A:

Q: Q1/ Find the area of the region bounded by the given curve (y = x² - 5) and the curve (x = -) by…

A:

Q: xdy + (3xy + y - e-³x) dx = 0

A:

Q: For all m and n in w, m n = n. m.

A: We need to prove Commutative law of multiplication. That is , for all m , n ∈ ω  ,  m · n = n · m We…

Q: d) must be done using Vector Calculus and the Lagrange multiplier. Optimize: the function f(x, y) =…

A: Given: The function fx,y=49-x2-y2 subject to the constraint x+3y=10. To optimize the function we'll…

Q: Let f(x + y) = f(x) f(y) for all x and y. Suppose that f(3) = 3 and f'(0) = 11, then f'(3) is given…

A: Solution

Q: (c) s²+1 s(S-1)³

A: We do the partial fractions first and then find the inverse laplace transform. The detailed solution…

Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

A:

Q: The general solution of (D³-4D²)y=0 is A y=C₁ + C₂x + c3e-4x B y=C₁ + C₂x + c3e4x C D y=c₁+ c₂e²x +…

A: To find the general solution of  D3-4D2y=0

Q: 2. Find at least the first four nonzero terms in a power series expansion about x = 0 for a general…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…