Two cars start moving from the same point. One travels south at 60 mi/hr and the other travels west at 25 mi/hr. At what rate is the distance between the cars increasing two hours later?

Q: If a and b (b ≠ 0) are constructible numbers, give a geometric proofthat a/b is constructible.

A: Let a and b are constructible numbers. Draw two straight lines OA and OB which intersect at O. From…

Q: Suppose that the domain of Q(x, y, z) consists x, y, z, where x = 0, 1, or 2, y = 0 or 1, and z…

A: In contrast to existential quantifiers, which are disjunctive over the domain, universal quantifiers…

Q: The design of a path utilizes stone pieces shaped in as squares with side length of 6cm. What is its…

A: Consider the given diagram, As we know that the area of the rectangle is given by,…

Q: Find the transform of the given function by use of a table. f(t) = = cos -4t - sin -4t

A: We have to laplace transform of the function                                 f(t)=cos(-4t)-sin(-4t)…

Q: Show that if n is an odd perfect numb prime and pa = 1 (mod 4). Use part (a) to show that if n n = 1…

A: Here in the question, We have to show n is an odd perfect number then, n = pαm2 where, p is an odd…

Q: Prove that bx q = b. ((Vt) - Vt), where q = V x t

A: We have to prove b→×q→=b→·∇t→Tr-∇t→ for q→=∇×t→ b→×q→=b→×∇×t→          =b→×∑i^∂∂ti×t→…

Q: E. What does the quantified proposition (VA)u(VB)u(A-B = B − Aº) say, where U is the power set of…

A: Q-E Given power set U=1,2,.....,7 Cliam- explain the meaning of quantified proposition…

Q: Solve the following problems (a) Find the eigenvalues and eigen-functions for the problem ƒ” (x) +…

A: NOTE: According to guideline answer of first three related subparts can only be given, for other…

Q: Solve the following systems of ODE dy dt dx dt + 2x + dx dt + 3y = 1 + cos² t + sin² t dy +x+ +y=t…

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Q: Recall: An mxn matrix has m rows and columns. Tip: Keep it simple. Wherever possible, choose A and b…

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Q: Find the Maclaurin series for f(x) = What is the Maclaurin series of Σ n=0 12 1+x 12 1 + X ·? (Type…

A: To find: The General expression for the Maclaurin series of 121+x. Formula used: The Maclaurin…

Q: 1. Find the coordinates of the focus, the equation of the directrix, and the length of LR for each…

A: Note: As per the Bartleby guidelines, we cannot author handwritten solutions, so we are authoring…

Q: d) A student in your class has been in a movie. e) No student in your class has taken a course in…

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Q: Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375,…

A: Given Data: The given details are We want to create a matrix that reflects around a line that is…

Q: (2) A six-sided rectangular is to be made having a volume of 12 m³. Find the dimensions of the box…

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Q: Show the increasing accuracy of Taylor series to determine the value of sin(1).

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Q: Solve the following partial differential equation: 1. p tanx + q tany tanz. 77

A: We have to solve the given partial differential equation. According to guidelines we solve only one…

Q: 4. Convert the following partial differential equation into an ordinary differential equa by making…

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Q: If axb = -2i+4j7k and c = 3i + j - 5k, then which one is (bxa). c? O -45 -33 O 37 O 25

A: Here we use the properties of vector calculus to find the answer as follows.

Q: 7.1 Vector Exploration (#theoreticaltools) Let u (2, 4, 2), = (0, -1,2), and w= :(-5, 2, 1). (a)…

A: The vector u=a,b,c.  Here, a is the x-coordinate, b is the y-coordinate, and c is the z-coordinate.…

Q: A (real valued) inner product space is a vector space that has an inner product (x, y) that…

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Q: For a specific site, earthquakes above magnitude 7 have a return period of 500 years. We are…

A: Given Information: Design life of a Dam =  100 Years Earthquakes above 7 have a return period = 500…

Q: What’s 30x30x30 divided by 0

A: Solution :-

Q: Consider the equation y" + 64y = 8 sin(8x) +8+ e8. According to the method of Undetermined…

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Q: Consider the solid Q shown in the figure: x² + 2z = 4/ A) I = 5.8211 B) I = 3.0575 C) I=4.7124 D) I=…

A: Given that and Fx,y,z=-2x,3ycos2x,3zsin2x

Q: .) 2xy dx + (x²-₁) dy = =0 4.) (x² + y2) dx + (x²-xx) dy

A: Separable of Variables: Let a differential equation can be written in the form:…

Q: INSTRUCTION Sketch the graph and label all the parameters. Determine all the necessary parameters A.…

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Q: 4. -2 3+4i -2

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Q: Subject to: P = 12x₁ + 3x2 + x3, 10x1 + 2x2 + 3x3 7x1 + 3x2 + 2x3 2x1 + 4x2 + x3 X1, X2, X3 < 100…

A: We solve by Simplex method.

Q: Let f(x)=3x²-x²-11x-6, Use the Rational Zero Theorem to list all possible rational zeros of f. Use…

A: The solution is given by using the rational root theorem. And then use the Descartes sign rule and…

Q: ▶ Exercise 3.34. Suppose f1, f2: X → R are continuous functions. Their pointwise sum f₁ + f2: X → R…

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Q: 4 X x^ = 64

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Q: Algebra Why do we reverse inequality sign when dividing by negative number? what is the proof…

A: A linear inequality is an inequality which involves a linear function. They are the expressions…

Q: Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375,…

A: Given: A vector, n=0.375,0.927 in 2D.   To create: A matrix that reflects around a line that is…

Q: Let F be a field. Write each of the field axioms using logical symbols (and common notation for…

A: A non empty set F forms a field  with respect to two binary composition + and ·, if i a+b∈F for all…

Q: ? ? ? ? ? everywhere. ? 6. Suppose fx(a, b) and fy(a, b) both exist. Then there is always a…

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Q: Let 3 and y denote the standard bases in the vector spaces M2x2(F) and P3 (F) respectively: 0 0 B =…

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Q: Let H be a proper subgroup of a finite group G. Show that G is notthe union of all conjugates of H.

A: Let H be a proper subgroup of a finite group G. We how prove that G is not the union of all…

Q: 5.8 dx(t)/dt + 3.0 x(t) = t, where t is in seconds. How long does it take (in seconds) for the…

A: Given system of differential equation  5.8dxtdt+3xt=t I.F=e∫35.8dt    =e3058t Therefore the solution…

Q: d) There is no dog that can talk. e) There is no one in this class who knows French and Russian.

A: (d) Let us define the following predicates           Dog(x) : x is a dog        Talk(x) : x can talk…

Q: Let P be the orthogonal projection onto the line y = x. What is the first row of the matrix P? O…

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Q: Problem In the figure below the graph of f(x) is given in solid blue line; the graph of g(x) = Af…

A: Given: The graph of fx as the solid blue line and the graph of gx=AfBx+C+D as the dotted red line as…

Q: Increasing and Decreasing Functions, Piecewise Functions II. Consider the function f(x). Identify…

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Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: Let A be an n×n rea lmatrix with complex eigenvalue λ = a +ib, where b ̸= 0, and let v = r+ is be a…

A: Eigenvalue: A number λ is said to be an eigenvalue of the square matrix A if there exists a non-zero…

Q: Determine the truth value for each simple statement. Then, using the truth values, give the truth…

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Q: Find an equation of the tangent plane to the parametric surface R(u, v) = ((u - sin u) cos v, (1 -…

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Q: The function f(x) = ln(1 - 7x²) is representewwserpower series f(x) = Σ* o Cna". Find the FOLLOWING…

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Q: Calculate the mass M and center of mass (x, y, z) of the solid with density 8(x, y, z) = x² + y²…

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Q: y' + y = x²= 1+X 1-

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