7. A particle of mass m moves under gravity in a medium whose resistance is Kitimes its velocity, where K is a constant. If the particle is projected vertically upwards. with a velocity v, show that highest point is m the time to reach the m cloge (1 + Kv). K

Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y = -2t z = 2t 3

A:

Q: | |x| ≤ 1 |x| > 1 3 g(x) dx is -3 and g(

A:

Q: n² Determine whether the series En=1 3n+1 ln(n+1) is convergent or divergent.

A: see my solution

Q: 2. A line passes through the points P(4, -3) and Q(6,2). Write the following equations of the line:…

A: Given the points  P(4,-3), Q(6,2)

Q: B. The dimensions of a rectangular solid at a given instant (to) are (a = 13 cm), (b = 9 cm) and (c…

A:

Q: 변 X I sintLy, y Ha จา

A:

Q: She xe X 3 dy dx

A:

Q: x-2x +x= 15; x (0) = 7, x* (0) = -16

A:

Q: ----- In a computation with Euler's method, the following results are obtain- ed with various step…

A:

Q: Using the Laplace transform, solve the IVP. y = 5y₁ - 4y2 - 9t² + 2t, y2 = 10y1 - 7y2 - 17t² - 2t,…

A:

Q: Define T: R² R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R² with the…

A: Use the given information.

Q: Use Euler's Method with h=0.1 to approximate the solution to the following initial value problem on…

A:

Q: y + x -0,x-1 and y=0,y-1-xto T.of u- dydx in terms of (u)and (v) given that: Region bounded R: x…

A:

Q: First order difference equation Consider the simple model |y(t)+ay(t-1)=bu(t-1) ÔN Σy²(t-1)…

A:

Q: QUESTION 6 Let V = WW+ where V is a finite-dimensional inner product space over C and W is a…

A:

Q: x-2x +x= 15; x (0) = 7, x (0) = -16

A: We need to solve the initial value problem having second order linear non homogeneous differential…

Q: 2. Show that there exists a proper subset A of N (i.e. AC N, but A ‡ N) such that A≈ N.

A: Given that A is a proper subset of ℕ To show: There exists a proper subset A of ℕ which is…

Q: L[sin(3t - 4n)]

A:

Q: (A) Using slack variables, determine the initial system for the linear programming problem (B) Write…

A: Introduction:   The simplex method is a method for testing vertices as potential solutions in a…

Q: Given a function, Based on the function, F(s) = S+4 s² + 4s+5 2 a) Determine f(t). b) Based on…

A: The given problem is to find the function f(t) by using inverse Laplace transform and also again…

Q: B. Determine and plot in a diagram the zeros and the poles of the following transfer function. 1.…

A: Solution:A(s)=50(s+4)s(s+2)(s2-8s+25)To calculate zeroes of the transfer functionFind zeroes of…

Q: Solve the equation. 3 dy dx = 4x5 (8+y²) ² An implicit solution in the form F(x,y) = C is = C, where…

A:

Q: 3. Determine the vector equation for the line with symmetric equations X-3.922.231.

A: Compare the given equation with x-x1a=y-y1b=z-z1c so, we get the values x1=3y1=-2z1=1a=4b=5c=3

Q: Solve the initial value problem.

A:

Q: ne - x) 250 √x(2

A:

Q: Let S be a non-empty bounded subset of R and let a be an upper bound of S. Show hat sup S = a if and…

A: Follow the steps.

Q: Convert ₁42(4-4x² - y²)dyda into a triple integral with dV = dydzdx.

A: Given, I=∫-11∫-4-4x24-4x24-4x2-y2dydxor I =∫-11∫-4-4x24-4x2∫04-4x2-y2dzdydx

Q: An algebraic number is any real root of an equation ao + a₁x + +anx"=0, where the coefficients a;…

A: We use properties of Countable union of countable sets and set of polynomials.

Q: H.W: Calculate the Fourier series for the waveform -16 at n = odd Ans. ao n² π² 1 & an= 0 at n= even…

A:

Q: Ds4 30sin³ 60

A:

Q: x-y 2 dx dy wer (2x-u)

A:

Q: 6. The ideal gas law describes the state of a hypothetical ideal gas, i.e., PV = nRT where P is the…

A: Given: The number of moles in the neon gas is n = 0.654 mole The universal gas constant R=8…

Q: [15] Solve the eigenvalue problem X"(x) + X'(x) - XX(x) = 0 X (0) = 0, X(a) = 0. 0<x<a,

A:

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: Let R be a finite ring and α ∈ R with α ≠ 0. If α is not a zero divisor, then α is a unit.

A:

Q: Let the vector be x = (5,6), determine its coordinates relative to the base B = {(1,1),(-1,2)}}

A: Introduction: When a basis is provided, one can represent a vector belonging to the precise vector…

Q: Parent Function y = log10x (x, y) VA x = Transformed Function y = -2log10 (x+4) - 3 VA x =

A: If a function: f(x) is transformed into the function: g(x)=afx-h2+k, then using the mapping notation…

Q: 3. a. es ¸²-²5 S Find the inverse Laplace transform of each of the following functions. 5s² - 3s +31…

A:

Q: H.W: Calculate the Fourier series for the waveform 27² Ans. ao & a₁ = 4(-1)" n² - - 3 f(t) = t² ww.…

A:

Q: 5. Find the values of k so that the lines=²=and=+=+³ are perpendicular.

A: the value of k will be 6 or -2. The solution is below

Q: Use any method to find the derivative of the following (the results do not need to be simplified): y…

A:

Q: x+C Where C lution of - (3x² - 1)y =

A:

Q: 대근도-근 근 (1

A: As you post multiple questions according to the guideline I only solve the first one.

Q: Determine the parametric equation of the plane that contains the line y-3 *+2-³-² and the point…

A: Virtual find the standard form of the plane then by satisfying the parametric values we will…

Q: Find an equation of the tangent line to f(x) = 62³-14 when x=-1. You may include only your final…

A: Introduction: The formula for the tangent line of the curve y=f(x) at the point x=a is given by,…

Q: Find the solution in the form of Fourier integrals: Ut- 3uxx = 0, u(0, t) = 0, |u(x, t) bounded as x…

A: As per the question we are given a initial boundary value problem as : ut - 3uxx = 0 And we have to…

Q: nction 'a' is 1+eaz at its pole

A:

Q: 4. Determine if the following lines intersect. If the lines do intersect, state the solution. If the…

A: The two lines intersect each other if there is a point that satisfies the both lines. If there…

Q: 2- Evaluate and change the order of integration f(x + y) dxdy

A: We need to evaluate and change the order of the integration. first we graph the region bounded over…

Q: A dead body was found within a closed room of a house where the temperature was a constant 65° F. At…

A: