A mass m is accelerated by a time-varying force e-ßt v3, where v is its velocity. It also experiences a resistive force nv, where n is a constant, owing to its motion through the air. The equation of motion of the mass is therefore dv m- = e dt Solve this to show that 1 1 2 2n v2 ßt + e mß + n m mß + n.

Q: Compute the least-squares error associated with the least-squares solution x of Ax = b. -3 2 767 - 1…

A: Solution

Q: A planet P in the xy-plane orbits a star S counterclockwise in a circle with radius 10 units,…

A: Given, A planet P in the xy-plane orbits the star S  in a circle of radius 10 units, completing one…

Q: Problem 20. Farkas' theorem tells us the following. Let A be an mxn matrix over R and c be an…

A:

Q: Solve 3 (x? + y?) dæ + æ (x² + 3y² + 6y) dy = 0 ; when x = 1, y = 0

A:

Q: Jaenjinepnesents. beyelfuetiun aherer

A: This is a problem of Bessels function.

Q: Question 2. Given the iterated triple integral 32-x2-y²x+y² dz dy dx. -4"-V-x2+16 Vx2+y2 a): Write…

A:

Q: Select all the real numbers Mamong the choices below such that the two planes given by and r. 2 - M…

A: We can calculate using the given information

Q: Find the basic feasible solution following (T.M) by using DI D2 10 D4 Supply 5 500 D3 S1 11 S2 3. 10…

A:

Q: This is incorrect please help

A: Green's Theorem Let us consider the vector valued function F(x,y)=P,Q Then the line integral ∫CF·dr…

Q: (7) The radius of a sphere was measured and found to be 20 cm with a possible error in measurement…

A: Given:                      Radius (r) = 20 cm                                    ∆r = ±0.05 cm

Q: 5. Let {fn} be a sequence of measurable functions on E = [0, 1] satisfying Prove that the sequence…

A: Recall.   1: Triangle inequality for integrals.   2: if (a_n)^2 goes to 0 as n goes to infinity then…

Q: How many people only take a cruise for vacation?

A: Solution

Q: Q/A) Replace the polar equation by equivalent Cartesian equation r 2cose- sine 1.

A:

Q: 6x²+5 Determine the value of lim,→0 x²+3x+7

A:

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of f V(1+ x3)dx. Give…

A: Given integral is ∫021+x3dx and h=1. We have to approximate the given integral by using Simpson's…

Q: what happened to the (7(s+1)e^-s)/s^2? why is the answer just (7e^-s)/s

A:

Q: Prove that the subgroup {o E S5 | o (5) = 5} of Sg is isomorphic to S4.

A:

Q: let a and b be real numbers. Prove by contraposition that, if a + b is greater than or equal to 100,…

A: Given that a and b be real numbers And a+b≥100 Then we have to prove that a>39 or b>60. Let…

Q: A granite quarry purchased for P1,600,000 is expected to be exhausted at the end of 4 years. If the…

A:

Q: 4. For each pair of parametric equations: • find rectangular-coordinate equation for the curve by…

A:

Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

A:

Q: Q3: How many angle and side conditions in each one of the figures below (the numbered angles are the…

A: We will observe the  both figures and answer this question

Q: Write an integral that represents the area of the shaded region of the figure. Do not evaluate the…

A:

Q: Suppose f is continuous everywhere, f' is differentiable everywhere except at r = -1, and the graph…

A: 1)   If f(x) is increasing [ i.e. graph is moving upward while going from left to right ] f…

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A:

Q: Employ Crout's decomposition to solve the system. 5x1 - x2 = 9 -x1 + 5x2 – x3 = 4 -x2 + 5x3 = -6

A:

Q: In this question, you should round answers appropriately where necessary. (a) A hardware engineer is…

A: # as per the guidelines we are entitled to solve one question(maximum three subparts ) at a time,…

Q: 2. A thin conical density of the s cone. Hint: set

A:

Q: Find the volume of the solid bounded by the planes z = 0, z = 4, and y = 9 and the parabolic…

A: We have to find the volume of the solid bounded by the plane z=0, z=4 and y=9 and the parabolic…

Q: 5) (2xy -3y) dx + (x-x) dy = o

A:

Q: (a)The elevation of a point of interest is 4 kilometers or less. Use h for the elevation in…

A: To find the inequality and to plot it on the number line.

Q: 2. Show that the equations f(r, y,P. q) = 0 and g(r, Y.P. q) = 0 are compatible if %3D %3D a(f,g)…

A:

Q: Construct the highest degree Lagrange Interpolation Polynomial. Xi yi 1 3 -1 -2 3 100

A:

Q: Q2/A) Find the particular solution for the following D.E., the boundary condition is (y-0 @x-0) dy =…

A:

Q: (d) Equate the coefficients of the quadratic term in the Taylor expansion of COs r to the…

A: Given Maclaurin series iscosx=1-x22!+x44!-x66!+...The parts d and e are answered as shown below.

Q: 7. Solve the following IBVP: Uu = 4uzz, 0 0, u(0, t) = 27, u(27, t) = 0, t20, u(x, 0) = x - 27,…

A:

Q: 4. Рy/Оx? - 60у/дx - 5 %3D 0

A: 4 Given differential equation is ∂2y∂x2−6∂y∂x−5=0. We have to identify the order, degree, type of…

Q: 2. Use the binomial theorem to show that for all integers n 2 1, 3" = 6) + 2 (4) + 2ª (") + 2" (")

A:

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1,2), C =…

A:

Q: 5 (b) f (x) = (x – 3) + 1

A: To find the relative extrema of f; (ii) determine the values of x at which the relative extrema…

Q: Show that In(x") = y In(x) for all x, y > 0, only using the rules of derivative for the natural…

A:

Q: Write 735 as a sum distinct powers of 2

A: 735 = 512 + 128 + 64 + 16 + 8 + 4 + 2 + 1 Now 512 = 29          128 = 27            64 = 26…

Q: (2) Let ƒ : [-x, 7] → R be defined by 0 if – a<x< -, 1 if-플<z<0, 0 if0<x< T. f(x) = (a) Calculate…

A: We will use the basic knowledge of the Fourier series to answer this question correctly and…

Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

A:

Q: (a) With the aid of software, find the eigenvalues of B and their algebraic and geometric…

A: Given matrix is B= 011-22-121-22-112-22-110021-1000

Q: Find the maximum opproximate error in the volune of right cirwlar due to possible cone errore of /6…

A:

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) eteU = e4…

A:

Q: The Cookie Jar bakes 80 dozen cookies at a cost of $1.08 per dozen. If a markup of 60% on selling…

A:

Q: Which of the forms would be most helpful in answering questions d-f

A: The various forms of a quadratic equation can be listed as follows. Standard form: f(x)=ax2+bx+c,…

Q: a. Give the smallest extension of Q that contains all the zeros of x4 - 2x2 – 15.

A: We shall answer first question only as you have asked diff question without mentioning. For others…