A parachutist of mass 67.4 kg jumps out of a stationary hot air balloon. Use Eq. (1.10): (t) = (1- e-() gm o compute velocity prior to opening the chute. The drag coefficient is equal to 14.1 kg/s and gravitational acceleration is 9.81 m/s2. Tabulate the values of velocity at 0, 2, 4, 6, 8, 10, and 12 seconds. ype numerical value of the terminal velocity, rounded off to two decimal places, in the space provided.

Q: 1.) An open box is to be made with a volume of 36,000 cm3. Find the least material or surface area u...

A: Given : Volume=36,000 cubic centimeter. length=2×width Let, Length=l Width=w height=h Volume=l×w×h

Q: Find the directional derivative of V.U at the point (4, 4, 2) in the direction of the corresponding ...

A:

Q: Find the chromatic numbers of the following graph Color the graph with chromatic number of colors. U...

A: Given us a diagram so we can coloured it with diffrent colour since no two colour  can give to same ...

Q: Use Gauss-Jordan Elimination to solve the following system. Identify the Gaussian Matrix and the Gau...

A: We use Gauss-Jordan Elimination method to solve the given matrix.

Q: -2 -2 B= 3 4 If A= 2 3 then (4+B) is: -1 1 (a) 1 (b) does not exist (c) is a skew-symmetric (d) none...

A:

Q: t & · &1 and & · &2 be two equivalent norms on a vector space X. Prove that a sequence % xn & in X c...

A:

Q: For demand function 2 = a-bP and supply function Q, = dP-c , using Cramer's rule determir.. equilibr...

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up. Tha...

Q: Given 1 -3 -1 A = 3 4 -6 8 0 -1 3 1 Find a basis of Ker(A).

A: Given matrix is A=102401-3-134-680-131

Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Th...

A:

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-(1 – e!-*) B x = y-(1 + e!-x) 2y = x³(1 + e!-2)...

A:

Q: 9. Let V be a set consisting of a single element z. De- fine addition and scalar multiplication on V...

A: Given :  V is a set consisting of a single element z with the addition and scalar multiplication are...

Q: urvilinear inteorale. late Find yay (0,0) , (4,0) r where is the pen 4e.x the 1quan (1, a) ato here ...

A:

Q: Prove that each of the following subsets H of M2(R) is a subgroup of the group G of all invertible m...

A:

Q: ERROR CORRECTION TEST ITEM: DIRECTIONS: The entire test has been answered for you. Your job is to ch...

A:

Q: 5. Chose the curl of f (x, y, z) = x² i + xyzj– zk at the point (2, 1, -2). a) 2i + 2k b) – 2î–23 c)...

A: find curl at given point (2,1,-2)

Q: Roundoff errors came from chopping infinite terms in a mathematical expression. True O Fabe

A: The solution of a problem obtained by numerical method contains some errors. To minimizing the error...

Q: Let O = (0,0), and a = (2, –1) be points in R?. Set %3D G = Bd² (O, 1) = {v = (x, y) € R² : d2(O, v)...

A:

Q: In the past 20 years, Wonderful Water Park had eighteen million, four hundred twenty thousand visito...

A:

Q: Show that the polynomial 1+x+x² +...+xP-1 . where p is a prime number, is irreducible over the field...

A:

Q: 4. Curl of f (x, Y, z) = 2xyi + (x² + z²)j + 2zyk is

A:

Q: Box Plots Use the following Box Plot about the height of boys and girls to answer these questions. W...

A: The box plot is given about the height of boys and girls.

Q: Problem 1: Given: -2,3,8, 13, ... Find the following: (a) 6th term of the sequence; (b) an formula o...

A: Here we use arithmetic progression.

Q: Consider a rod of length 1 with a temperature distribution of u(x, t). For each problem, determine t...

A: The complete solution is in given below

Q: -1 sec d0 2.

A:

Q: Given y-5y" – 25y" + 125y' = t² +9+ t sint, determine a suitable form for Y (t) if the method of und...

A: To determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. 

Q: cos(x)y' + sin(x)y = 2cos (x) sin(x) – 1 G) = 3/2, 0 <x < 2 %3D 2)

A:

Q: Prove that equation x2 + 2x +1 + y² = 0 has only one solution: x = -1 and y = 0. Individual steps of...

A: You just need to order the steps. The solution is given below.

Q: Cuitakes B-Brownies Brewnies George has $8,000 in his savings account. He plans to use money in his ...

A: To find: how much money will George use to buy a computer from his savings account.

Q: Suppose that the marginal propensity to save is ds = 0.3 – dy (in billions of dollars) V 9y + 6 and ...

A: Solution

Q: onsider the function 1 1- x4 rite a partial sum for the power series which represents this function ...

A: Given the function 11-x4 we have to write its partial sum of the power series which represent the fu...

Q: 2. Sketch the function below and solve numerically with 6S accuracy the nearest root to the starting...

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

A:

Q: Use a single variable integral to find the area bounded by the curves x = 0, y = 24, and y = e.

A:

Q: Let 3 -7 ,V = u -3 -3 4 and let W the subspace of R* spanned by u and v. Find a basis of w', the ort...

A:

Q: Find the angle between v = and w = 2 in R3. 1 2

A:

Q: Complete the table to express the values of each of these Boolean functions. F(x, y, z) xỹ + (xyz) x...

A:

Q: Find the solution. (D + 602 + 110 + 6)y = 0 A y = c,e-2«, +c,e y = c,e '+c,e -3x c) y = c ,xe" + c,e...

A: Consider y=emx be the solution of the given differential equation. Differentiate the equation y=emx ...

Q: In the function P(x) = x² + 16, what is P(-4i) equal to? type your answer.

A:

Q: Given y1 (t) = t and y2(t) = t¯1 satisfy the corresponding homogeneous equation of t²y' – 2y = - 1+ ...

A: Given y1(t)=t2 and y2(t)=t-1 . To find the particular solution .

Q: Find the solution. (D² - 20 - 3)y = 0; when x = 0, y = 0, y'= 4 A y = e-e B y =e+e y = e y = -e

A:

Q: You're playing Fibonacci Nim against The Great Fraudini. The number of counters is 46. Do you go fi...

A: The game of Nim usually refers to a one-on-one game where players take turns removing counters from ...

Q: Prove, using an element-chasing argument, that {15n : n E Z} = {3n : n E Z}N{5n : n E Z}.

A:

Q: Prove that if X is a Banach space, X ∕= {0}, then there is a non-zero biounded linear functional on...

A:

Q: QUESTION 2 Let V be the set of all ordered pairs of real numbers with addition and scalar multiplica...

A:

Q: Use the upper and lower sums to approximate the area of the region using the given number of subinte...

A:

Q: A Ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. There are c...

A: Given: Let's look into the London Eye, which is one of the most famous Ferris wheels in the world. F...

Q: The value X2 .2 -2 x1 + 6 x2 + x3 = 9 - x1 +x2 + 7x3 = -6 4x1 — Х2 — Хз%3 3

A: Solution :       -2x1 + 6x2 + x3 = 9 . . . . . . . (1)        -x1 + x2 + 7x3 = -6 . . . . . . . . (2...

Q: Find the Solution (1+r?)ds + 21[st²– 3(1+1²)²]dt = 0; when 1 = 0, s = 2. = (1+ s?)13-e-

A:

Q: If A is a 5×5 matrix with characteristic polynomial 1°+21±+A³, find the distinct eigenvalues of A an...

A: This question is related to eigenvalue of matrix of linear algebra.

Q: Use the incomplete partial fraction method to solve the DE y′′+ 2y′+ 2y = e^(t)cos t.

A: