A 800-lb object is released from rest 500 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 20v, where v is the velocity of the object in ft/sec, determine the equation of motion of the object. When will the object hit the ground? Assume that the acceleration du to gravity is 32 ft/sec² and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) =

Q: the expansion of omial theorem to determine the value of the consta 3 < (22²7³. 23 2 (2-3r³y) x…

A: Given expansion is 2-3x8y×2x2y3+3x3-2y219…

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for Rn into an…

A: We use Gram-Schmidt orthonormalization process to find orthonormal basis.

Q: Let S be a set, P(S) is the powerset of S, and let T be the set of all functions from S to {0,1}.…

A: Let S consists of n elements.  Then, P(S) denotes the power set of S which is the collection of all…

Q: 1. 1. Using the definition of Laplace Transforms: Lif(t)=[e" f(t)dt, evaluate the following: 2. Le"}…

A: As per our guidelines only first three subquestions are solved. For remaining solution of…

Q: The Little Town Arts Center charges $25 for adults, $15 for senior citizens, and $7 for children…

A: Here we have to find no of children attended the little town arts center.

Q: For the linear system A=b as below 2 -1 01₁ 670-0 -1 4 2 x₂ = 2 2X3. a) Find L for the above system

A:

Q: Use the matrix P to determine if the matrices A and A' are similar. P =   −1 −1   1 2,   A =   14…

A:

Q: such f(2x)-f(x) = = b x 1) than f'(x) is alsa a-b 6. f(x) is differentiable On [0,00), lim f'(x) =…

A: Given that, f(x) is differentiable on [0,∞) and limx→∞f'x=b We have the expression, limx→∞f2x-fxx=b…

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 491 km/h and…

A:

Q: -x)y' + y = x²e²x, x>0, V₁(x) = 1 + x, -3)e²x + 1)e²x -x²)e²x - 1)e²x - 1)e²x

A:

Q: Is f(x) continuous at x=1?, explain thoroughly. x-1 f(x) = { 1 2x - 2 for 0 1

A:

Q: Kiran has 234 pounds of flour. When he divides the flour into equal-sized bags, he fills 418 bags.…

A: Lets's represent the equal number of pounds of flour as: p

Q: ponts) Draw a full binary tree with 6 internal vertices and 8 terminal vertices or explain why it is…

A: A full binary tree is a special type of binary tre in which every parent node/internal node has…

Q: Use the method for solving Bernoulli equations to solve the following differential equation. dy y +…

A:

Q: Obtain the general solution. (HOMOGENOUS EQUATION) 1. 2(2x² + y²)dx - xydy

A:

Q: Find the volume of the solid enclosed by xy-plane, yz -plane, x=y and z = 4-y².

A:

Q: For the linear system A=b as below 2 -1 011 60-0 -1 4 2 x₂ = 2 2] [3] Can you determine whether A…

A: Hermitian and positive definite matrix has Cholesky Factorisation.

Q: How many different committees of 3 people can be formed from a pool of 7 people? A We need to pick a…

A: Given: There is a pool of 7 people.

Q: Use Lagrange multipliers to determine all points on the graph of 3x² + 2y² -z = 0 nearest the point…

A: This is a problem from optimization. It will require using Lagrange's multiplier method to find the…

Q: What is the central difference used for? to estimate f'(a) when a formula for f is given O to…

A: Central difference is numerical approximation of derivative at a point . It is calculated as…

Q: For each of the following series, determine whether the series converges, diverges to ±∞, or…

A:

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A:

Q: Let T (V₁, V2, V3) w = (4, 1, −1). = (2v1 + V2, 2v2 − 3v₁, V₁ — V3). Find T(–4,5,1) and pre-image of

A:

Q: Let R be the region bounded by the graphs of 2 G₁ ² ( x − 3 ) ² + x ² = ²/1² 4¹ (0, 0) and C₂: y=…

A:

Q: Please examine these two right triangles. 5.2 B Triangle A C 15 A A Triangle B 32° 10 C B If you…

A: A triangle has three sides and three vertices. The sum of the angle of a triangle is 180°. A right…

Q: Let x₁, x2 be the unknown coordinates of an object. We use four noisy sensors that give us the…

A: To find the best possible estimate of x1 and x2, we can set up a system of linear equations using…

Q: Find the area of the shaded region. Enter your answer as a reduced fraction. -3 A = (-2,3) (-2,-1)…

A:

Q: Subject: Math Topic: Linear Programming Instruction:   Use a Table for the Data given, Construct…

A: The data given in the problem is shown below in the table: Processor Hours took to manufacture…

Q: Your client needs $80,000 each year ($ today) 15 years from now for a retirement period of 20 years.…

A: Solution :-

Q: Subject: Math  Topic: Combination A major Lottery game called 6/45  is very famous in the…

A:

Q: Use induction to show that A₁ U A₂ U U An|A₁|+|A₂|++|An, where A denotes the number of elements in…

A:

Q: The following data shows the number of daylight hours on the 21st day of each month for a one-year…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Solve the equation x" + 4x = 8(t), x(0)=0, x'(0) = 0 a. x(t)=sin(2t) b. x(t)=[1-e-²¹-2te-²¹] + µ(t −…

A:

Q: C. Set up the iterated double integral equivalent to f f(x,y) dA over the given region R: i)…

A:

Q: 1. Find the eigenvalues and eigenvectors of (a) -2 6 -4 (17) (12) (b) 4).

A:

Q: Use the Laplace transform to solve the given integral equation. f(t)=te¹. T f(t-T)dt

A:

Q: Suppose we partition a non-empty set A. Which of the following statements about A's partitions…

A:

Q: Convert the integral So fa+√a²-x²-y²x dzdydx from rectangular coordinates to both cylindrical and…

A:

Q: 1. Find the total area of a frustum of a right circular cone with slant height of 0.8 meters and…

A:

Q: Obtain the general solution. (HOMOGENOUS EQUATION) 2. xydx (x + 2y)²dy = 0

A:

Q: Ihlum is $100,000. The bank requires a 5% down payment and one point at the time of closing. The…

A:

Q: If Ec [a, b] show that there exists a subset H of E such that H is of type Fo and m H = m E. (i.e. H…

A: For every subset E of [a, b], there exists a subset H of E such that H is of type Fσand mH = mE.To…

Q: Evaluate the geometric series or state that it diverges. 80 Σ e-22n n=0 Select the correct choice…

A:

Q: Find  A, B  ,   A  ,   B  , and d(A, B) for the matrices in M2,2 using the inner product  A, B…

A:

Q: The force on a particle is described by 9x³ - 5 at a point x along the x-axis. Find the work done in…

A:

Q: A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure.…

A:

Q: Find the Annihilator of the given function(s) f(x) = cos(2x) + 4sin(3x) a. (D²+3)² b. C. d. D² -3D+4…

A: answer is b

Q: III. Solve the differential equation (4x - 3y + 13) dx + (4y − 3x −15)dy = 0 ; y(1) = 2

A:

Q: Let f A → B be a function that is one-to-one and onto, and let C be any set such that CCA and f: C →…

A:

Q: For the production of tables and chairs, the furniture factory uses three type of wood. Cost rate…

A: Cost rate for each type of wood per table is: 1; 2; 5 Cost rate for each type of wood per chair is:…