Given the points A(-3,2), B(7,17), C(3,5), D(5,5), E (√5,√5), and F (4√5,- 4√√5), find the position vector equal to the following vectors. a. AB b. AC c. EF a. AB= (Type exact answers, using radicals as needed.) d. CD

Q: 3. Explain why the following limits do not exist. 1 (a) lim x-5 (x-5)2 -x² +3, (b) lim h(x), where…

A: (a) limx→51(x-5)2 Let  f(x)=1(x-5)2 As x approaches 5, (x-5)2 approaches 0, and so f(x) approaches…

Q: Q1) Solve the following equations by the power-series method: A) xy – (x + 2)y' + 2y = 0

A: Solution for part A: Given differential equation is xy''-(x+2)y'+2y=0           (1) let the solution…

Q: 1. In this activity, you want to find a statement S so that ((AVB)^¬A) → S is a tautology. (a)…

A: a) AB¬AA∨BA∨B∧¬ATTFTFTFFTFFTTTTFFTFF

Q: Consider the following initial value problem: y" + 10y' + 21y = d(t − 5) + u₁0(t); _y(0) = 0, y'(0)…

A: Since you have asked two questions, here is the solution of part (a).

Q: Please solve for a, b and c

A: To compute the integral using:Part a) integration by parts.Part b) Substitution method.Part c)…

Q: 68. Approximating Pi (a) Show that 4 dx = n. 1+ x2

A: Given to prove ∫0141+x2=π

Q: 5. Let X, Y ~ Poisson(X) be independent Poisson rv's with the same parameter >> 0. (a) Find the…

A: Given that  be independent Poisson random variables with the same parameter .

Q: Q4: a) How much money would MR. Saad receive after 3 years if he invests Rs.12000 today at 6% simple…

A: Question: 4(a) How much money would MR. Saad receive after 3 years if he invests Rs. 12000 today at…

Q: Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for…

A:

Q: Solve a and b

A: Consider the given: When the cross section is square: Side of the square = 1−y13Area of the…

Q: Gasoline is pumped into a cylindrical tank with a radius of 16 feet and a height of 6 feet. The tank…

A: a) The rate of pumping gasoline inside the tank is R(t)=1000e-t220 cubic feet per hour while the…

Q: 4. Suppose two events E and F satisfy P(E)= 0.3, P(F) = 0.5 and P(E' F) = 0.3. (a) Compute P(En F).…

A: The question is about is probability Given : P ( E ) = 0.3  P ( F ) = 0.5 P ( E' ∩  F' ) = 0.3   To…

Q: x+3 Let f(x)= %3D -X-6 (a) Show that f'(x)= x3 %3D (b) Find the intervals where the function is…

A: Given,  fx=x+3x2 and f'x=-x-6x3 Part b) To find the intervals where the function is either…

Q: 3. Evaluate the following sums. (a) E (k-5k) (k* – k=-1 (b) E(i+2)3 Zi bi+ 1a %3D 3. i=1 3.

A:

Q: 8 a) Solve the recurrence relation an an-1 + an-2, n 22, ao = 1, a = 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: .... et A = (0,0) and B = (12,5). There exist points on the y-axis that are twice as far from B as…

A: a) Consider the graph:

Q: Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind…

A: Note :As per guidelines only first 3 subparts have been answered if you need answers for the rest of…

Q: 9 Three farmhouses are to be powered by wind. The farms are located at A(60,20), B(220, 120) and…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Identity or Equatio 2 cos x = 1- sin x Equation tan“ x - 2 sec? x = 1 Equation

A:

Q: In commuting to work, a professor must first get on a bus near her house and then transfer to a…

A: The probability density function is given as follows: f(y)=125y        ; 0≤y<525-125y ; 5≤y≤10…

Q: Please solve a, b, c, d, and e.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose T and Z are random variables. a. If P(T> 2.52) = 0.02 and P(T 0.36)=P(Z 0.36).

A: The provided information is…

Q: On average, indoor cats live to 12 years old with a standard deviation of 2.4 years. Suppose that…

A:

Q: Solve the following triangles: (a) a = = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7;

A: To solve the triangle, we use the Law of Cosines to find one angle of the triangle and the Law of…