-2s +3 - 10s -7 α ~¹ { ( 6 -²5) ²5 - (+²} + 18-²²-¹ { [ ₁ - 5) ² - 07²} 2} BL-1 (s-5)²-a² (8-5)²-a² Determine the value of 3². 1.2. In the process of calculating L-¹ given by: -2.L-1 we get an equivalent expression

Q: Converting from...... to....., include divide by two, to keep track of the remainder O Decimal to…

A: Follow the steps.

Q: that the function. 22²2² Bin 12 f(x) == x2 0 (x=0) of bounded variation on [1,1]. کر ۔ (x+0)

A:

Q: The maximum change is 18e¹ √10; in the direction (-54e¹ The minimum change is-18e¹8 √10; in the…

A: Given the function f is                f(x, y)=9y2e6x,  3, 1

Q: Task 2: Calculate the volume under the surface z = 3+x²-2y over the region R defined by 0≤x≤1, -x≤ y…

A:

Q: x-27 3√√√x-3 6. limx→27 3 O True O False is 27

A: The given problem is evaluate the given limit and check the given answer is True or False. We have…

Q: (6) (Show manual calculations for this task) Let the partial differential equation J²u J²u U = Ət²…

A:

Q: Draw position vector OP = (-2,-4,3) on the axis below.

A:

Q: 9) Consider the solid Q bounded by the surfaces: S₁: x1 = (z −2)², S₂: y+z=2, S3: x=0, S₁: y=0, S5:…

A: The first surface given is as follows: S1: x-1=z-22⇒x=1+z-22⇒dx=2z-2dz The function given is Fx, y,…

Q: 1. Solve the nonhomogeneous equation by using the method of variation of pa- rameters. d'y dy dar²…

A:

Q: 5. Find o(ln 3) for a solution (x) to the initial value problem (y + x²eª)dx − xdy = 0; y(ln 2) = 0…

A:

Q: Find the sloution of the given DE dy - Y X dx y + x y(0) = 1, h = 0.1 at x = 0.5

A: Given that dydx=y-xy+x with initial conditions y0=1 and step size h=0.1 To find the solution of the…

Q: 1 5. If 162-₁ { 10 / ( √5 - 2)²2 +25)}² atbect sen(5t), the value of a cis ds

A:

Q: 41. Which trigonometric function must be use to solve for the height of the kite the kite flies? 10…

A:

Q: Solve the given initial value problem. O x³y²y³ = -18 Oxy² - xy³ = 36 Oxy² + x³ = -18 O x³y² + x³ =…

A:

Q: a² a³. 5. Ifbb²b³-1 = 0, show that abc = 1. lc c² c³-1

A:

Q: 8)The dependent variable in a relation is usually placed in the and on the axis in a graph. a)…

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

Q: 1. If Y= 4 In (In (In(sec(x)) then Ý -[4 (tan)/{ In ((In (sec)) In (sex)}] O True O False

A: We have to derive the given function.

Q: (a) Let n, k € Z with 0 ≤ k ≤n. Write down the formula for the binomial coefficient (7) and use it…

A:

Q: 25. (3x²y + 2xy + y³) + (x² + y²)y' = 0

A:

Q: 9. a) Apply fourth order Runge-Kutta method to dy 3x + y/2, y(0) = 1 dx to determine y(0.2) correct…

A: (a) The given differential equation is…

Q: lex. min. {g, (x), g₂ (x)} 9₁ (x): -2x1 - x₂ ≥ 9 92 (x): X₁ X1 - 2x₂ ≥ 10 st. 2x1 + 5x2 ≤ 16 6x₁ +…

A:

Q: 9. a) Write the equation of an exponential relation that represents exponential growth. b) Write the…

A: An exponential function is a function which has the general form fx=a·bx where a≠0 and b is a…

Q: in in words how is derivative lated2

A: We have to explain in the words how derivative is calculated.

Q: b) let R be the disk in the xx-plane centered at the point (0.2) and with radius 2. Calculate ☞² +…

A:

Q: lution of the given initial value problem in explicit form. 1 y' = (1 - 3x) y², y(0) = 8 2 -2-2x-16

A:

Q: The boundary value problem y" + y + y = x, y' (1) = 1, y(2) = 2 is solved using central differences…

A:

Q: Discrete values of f are given in the table below. Use this information to find the discrete Fourier…

A: Discrete values of a function f is given by: x -3π4 -π2 -π4 0 π4 π2 3π4 π fx 2.2 2.8 3.0 3.5…

Q: (a) Given that sin²+ cos²0= 1, show that 1 + tan²0= sec²0. (b) Solve, for 0≤ 0< 360°, the equation 2…

A:

Q: In this question and subsequently, let d₁, d2, ..., d5 denote the first five digits of your exam…

A: Given : Let d1, d2, d3, d4, d5 denote the first five digit of exam number and X denote the set…

Q: Let x € Z. Prove that if x² - 8x + 11 is divisible by 4, the x6- 1 is also divisible by 4.

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: If You have this information about return of stock in 3 periods: -12%, 20% and 25%. calculate: The…

A:

Q: 1. Ir Y= 4 In (In (In(sec(x)) then Y =[4 (tan)/{ In ((In (sec)) In (sex)}] O True O False

A: Y=4lnlnlnsecx remember chain rule ddxlnfx=1f(x)ddxf(x)

Q: dy ² dx d²y dx² ev

A:

Q: dy ² dx d²y dx² ey

A:

Q: A relation R on R² is defined by ((x1, y1), (2, 2)) R if Prove that R is an equivalence relation.…

A:

Q: Iterations 0800 I1 12 13 14 I5

A: The sum of first n terms of a geometric progression is calculated using the formula: Sn=arn-1r-1,…

Q: Show that if a is an even integer then a² = 0 (mod 4) and if a is odd integer then a² = 1 (mod 4)

A: We know that an even number is a multiple of 2 and we write an even number k as k=2m for some…

Q: Determine the dimension of the span of each set. 6 3 12 - A = span ({0}) 2 - -1 4 20 10 40 dim (A) =…

A:

Q: find the radius of convergence for this taylor series expansion in 30 minutes and get the thumbs up

A: Radius of convergence of the series

Q: Solve dy dx + y tan x = -y³x sec²(x)

A:

Q: 2. Let f: A B be a function, {B}je a family of subsets of B. Prove that f-¹ (njej Bj) = njej…

A:

Q: Diagram below shows a circle with center O which is divided into twelve sectors. The angles of the…

A: For an arithmetic progression, the difference between consecutive terms is a constant. For an…

Q: Suppose TEL(R²) has no eigenvalues. Prove that T is invertible. Prove that Te is diagonalizable. If…

A: Given : T : ℝ2→ℝ2 is a linear transformation such that it has no eigen values in ℝ. To prove : (i) T…

Q: Let S = { 1 - (-1)" n | n € N}. Determine inf S and sup S. Justify.

A:

Q: Oh no! Dr. Pythagorean has returned! He has stolen Mr. Henville (Again!) and your magic flying…

A: Let us denote P as the protractor, H the Mr Henville, and M as me.

Q: 3. Given (3, 10,-8) and v = (-1,6,4), b) find a unit vector in the same direction as v-u

A: The given problem is to find the unit vector in the same direction of the vector v-u. Given vectors…

Q: Find the following Z and Inverse Z transform. 8. Evaluate the inverse z-transform of x(z)= 2z-1…

A:

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A:

Q: SUCH THAT LET H BE A PROPER SUBGROUP OF G V x,y € G-H, xy EH. PROVE THAT HAG.

A: