Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east while Car B starts driving at 55 mph to the north. At what rate is the distance between the two cars changing after 40 hours of travel? related rates, step by step

Q: 3. What would happen in the following situation? A stranger offers to possibly oive either $120 or…

A: The most appropriate solution of this situation occurs when everyone get maximum money

Q: (1 -5<t<0 is The Fourier Series expansion of f(t) =11+t 0<t<5 (-1)" nnt nnt sin 22- f(t) [[(– 1)" –…

A:

Q: Prove that for any integer x, if x mod 3 does not divide 0, then (x2 −3x + 1) mod 3 = 2.

A:

Q: 2. Using left side of the divergence theorem, find the total charge enclosed in the rectangular…

A:

Q: Votes for Republican candidates Votes for Democratic  Republican seats  Democratic seats 2010 3058…

A: The given data is,  Votes for  Republican  candidates  Votes for  Democratic  Republican seats…

Q: For the weighted voting system [12: 8,6,5,3]: a. List all coalitions; identify which are winning…

A: Given weighted voting system [12: 8, 6, 5, 3]. a. To list all coalitions and identify the winning…

Q: d. Find the transition matrix from C to B. P = B-C e. Find the coordinates of u = (-2, –1) in the…

A:

Q: spade. 4 A card is drawn from a standard deck of 52 cards. Find the probability that it is a red or…

A: We have to solve the 14th question. A card is drawn from a standard deck of 52 cards. We need to…

Q: Let S be the quadric with equation 36x2 – 4y2 – 922 – 36x 0. - - (a) Classify the graph of S. (b)…

A:

Q: 6. Write the negation of each statement. a. Some telephones can take photographs. b. All houses have…

A:

Q: Approximate the positive root of the functions below using regula-falsi method, absolut error is <…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: Find the maximum and minimum values of the function f(x,y)=2x^2+3y^2−4x−5 on the domain x^2+y^2≤9.

A:

Q: Find the general solution: yy" = 2(y')². Select one: O a. Y cos (x)x + e2" sin (x)x ln sin x O b. y…

A:

Q: SHOW COMPLETE SOLUTION. THANK YOU! Using Newton Method : y = x - cos(x) on [0.0 , 4.0] for eps =…

A:

Q: |Example 10.27. Find an approximate series solution of the simultaneous equations dx/dt = xy + 2t,…

A:

Q: 2. Among 500 graduating students, 210 of them smoke, 258 drink alcoholic beverages, 216 eat between…

A:

Q: 1 6. Find dx. V2x2 -8x +2

A:

Q: onsider the theorem: “for any integer x, if x mod 6 = 5, then (x2-2x+4) mod 4 = 3.” (a) Give an…

A: We recall some definition regarding modulo arithmetic and solve this problem. The detailed steps are…

Q: A telephone service representative believes that the proportion of customers completely satisfied…

A: Solution:Let P1 is the proportion of southern resident are satisfiedSimilarly,  Let P2 is the…

Q: 1. A data table is given by 1 -1 2 -2 Yi -5 -3 -15 39 -9 A) Construct the linear system associated…

A: We will use the basic knowledge of linear interpolation and straight-line fitting to answer this…

Q: Let f(x) = 2x2 – 3x and g(x) = 4x - 5. Find 2f(x+ 1) – g(3x) + 4.

A: We have to solve given Questions.

Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A:

Q: Write the KKT conditions and find the optimal solution (x,y) for the following problem. Minimise 2x…

A: Given that,                Mini     2x-y2+2ysubjected to     y=-3x,                           x≤1,…

Q: Evaluate uil=4 8426) (3-hi) 18

A:

Q: FIGURE P1-8 80 a b FIGURE P1-9 Determine angles a, b, and c (Figure P1-9).

A: Vertically opposite angles are equal. Now, in the given figure 80° and angle a are vertically…

Q: Let S be a subset of the metric space M = (X, d), with point p E X. Question 4. Prove that p is a…

A:

Q: (x* – y*)dx + xy³dy = 0 -

A:

Q: A property owner wants to fence a rectar next to the road must be sturdier and cos per foot. The…

A: Area of rectangle is given by the product of length and width of the rectangle. The given area is…

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x² +1, y =…

A:

Q: Express the system of differential equations in matrix notation x"-7x' +1'y- (tan t)x= 0 y" +2y"…

A:

Q: A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we select 4…

A: Here we can use combination to find the number of ways of drawing r balls out of n given choices.…

Q: Find a series solution in powers of xof the differential equation. y' +xy' + (2x +1)y = 0

A: We have to find a series solution in powers of x of the differential equation. y" + xy' +(2x²…

Q: mple Solve the initial value problem dy/dx = x-y°, y(0) = 1 to find y(0.4) by %3D Adam's method.…

A: The given Initial value problem is dydx=x-y2, y(0)=1., h=0.1. To find: y(0.4)  Using Adam's Method.…

Q: 5. Let X =[0,2). Define T = {[0,a):0<a<2}. %3D a) Show that T is a topology on X. b) What are the…

A:

Q: H.W. Solve the fallowing first order DE.

A: Introduction: Integration will be used in some steps to solve a differential equation, both general…

Q: Given f(x) = 3 cos x² + 5x – 5. (a) Prove that f(x) = 0 has at least one root in the interval [0, ].…

A:

Q: I Example 11.6. Solve the equation V?u = 10(x2 + y? + 10) over the square with sides x = 0 = y, x =…

A: To obtain the solution of the Poisson's equation ∂2u∂x2+∂2u∂y2=fx,y, use the following standard…

Q: е 0.32+ j0.56

A:

Q: 6 Use long division to divide. a) (x³ – x² + 2x – 8) ÷ (x – 2) b) (æª – 4.x² + 6) ÷ (x² – 1) -

A: Solution

Q: Maximize q(x) = 2x² + 72xy + 23y² , where x = subject to the condition ||x|| = 3. %3D Select one:

A: This is a problem of optimization.

Q: Determine the solution of this system of linear equations

A: Given system of linear equation: To find: The relation between the variables x1 , x2 , x3 , x4.

Q: Utensil Limited deals in the production of cups and bowls. The production requires machine and…

A: Machine hours per unit labour hours per unit Cups 4 3 Bowls 2 2

Q: The half range cosine expansion of f(t) = t+ t, 0<t<1 is 22 f(t) + 6. S[2(3(– 1)")] cos (nnt)/n´n 22…

A: Half range cosine series expansion

Q: Use the appropriate technique of integration to compute the following antiderivatives.

A: Solution

Q: JO find onthononmal bases:(Using 2 3 %3D 1 O'5 V2 = 2 0:2 1

A:

Q: Consider: for any integers a and b, if (a3 + b3) mod 3 does not equal 0, then (a + b) mod 3 does not…

A: The contrapositive of A implies B is not B implies not A. We use this and solve this problem.…

Q: prove that the one's digit of any integer,n, is the remainder when one divides n by 10.

A:

Q: Question 4 The well-known Fibonacci Sequence Fo, F1, F2, ... is generated by the relation Fk = F1 +…

A:

Q: Considering the following Linear equation set: 2x1 + 6x2 + 15x3 = -12 4x1 + 7x2 + 13x3 = -10 3x1…

A:

Q: Find the general solution: (x² D² + 6xD+6I)y= x²?. Select one: O a. y = 20 0 -3x O b. y = (c1 +…

A: