12 x 109 is how many times greater than 4 x 103 ?   Enter the answer using scientific notation.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: ### Part (a) - Contour DiagramTo create a contour diagram for the function f(x, y) = x^2 - y + 4, we…

Q: Maximize p10x+10y + 15z subject to 2x - y + Z ≤ Z ≤ 13 - 2y + z ≥ 15 -y + Z ≥ 7 z x ≥ 0, y ≥ 0, z ≥…

A: Maximize .subjected to:                                                                   .

Q: Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the…

A: to the first three sub parts as per our Q&A guidelines. Please repost the remaining sub parts…

Q: Calculate √ (5(x² - y) + 7(y² + x)j) · dr if: (a) C is the circle (x − 1)² + (y − 1)² = 9 oriented…

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Q: Consider the multivalued function for sin-1 z given in Eq. (3.7-2). Show that if z is a real number…

A: The multivalued function for sin^-1 z is given by:sin^-1 z = (-1)^n (π/2 - sin^-1 (-z)) + nπwhere n…

Q: Solve the equation 2 x " y " + 3 x y = (1 + x ) y = ху - which has a regular singula Point x = 0.…

A: Here both p(x)=32xand q(x)=−1+x2x2 aree non analytic at x=0 so 0 is a singular point. But both…

Q: 31. Find a basis for the nullspace of the matrix [231] 516 2 7 6-2 1 2 0

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Q: Task 2. Create a digraph for the following set of tasks: Time required Tasks that must be completed…

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Q: A north-south highway intersects an east-west highway at point P. A vehicle crosses P at 1:00 p.m.,…

A: A north-south highway intersects an east-west highway at point . A vehicle crosses  at  travelling…

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Q: 19. Let 2 A=012 [132] If possible, find a matrix B such that AB = A² + 2A.

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Q: (2) Use the definition of limit of a function to find lim x³-3x-2 x+2x2 - 3x+2

A: To find the limit of the function x3−3x−2x2−3x+2 as x approaches 2, it can apply the definition of…

Q: A tank contains 460 gallons of water and 45 oz of salt. Water containing a salt concentration of…

A: Let  be the amount of salt in the tank at any time t.Salt enters the tank at a rate of , oz/min and…

Q: (6) Find the general solution of the following differential equation x²y" - xy' + y = x³.

A: See solution in image Explanation:

Q: Suppose a questionnaire has 11 questions. In how many ways can the questionnaire be answered if each…

A: A questionnaire has  questions. Each question requires a yes or no response followed by a -part…

Q: Find the inverse Laplace transform f (t) = L¯¹{F(s)}. 3 2s a. F(s): = - b. F(s): = 2s-5 s²-4s+13…

A: ​(a) L−1{F(s)}=23​e25t​−(34sin(3t)​+2cos(3t))e2t​​(b)L−1{F(s)}=−e−2t+tet+2et​Explanation:Step 1: a.…

Q: Jan Petri is the stockholder and operator of Galaxy LLC, a motivational consulting business. At the…

A: The objective of this question is to calculate the stockholders' equity for Galaxy LLC at the end of…

Q: Which groups Un are cyclic for n in the range 50 ≤ n ≤ 60?

A: For the range 50≤n≤60, the cyclic groups Un​​ are those with n=53and n=59, since these are prime…

Q: A marketing expert for a pasta-making company believes that 50% of pasta lovers prefer lasagna. If…

A:

Q: 6. Are the graphs below isomorphic? If yes, then define an isomorphism, and show the edge…

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Q: Q2/Solve only three of the following differential equation: 1- y' = xy 2- xy' y+x3 + 3x3 - 2x 3- 2xy…

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Q: Macmillan Learning You have torn a tendon and is facing surgery to repair it. The surgeon explains…

A: The Infection occurs in 3% of surgeries, repair fails in 15%, and both infection and failure occur…

Q: parametrically define the hyperboloid 4x^2 − y^2 − z^2 = 1 .

A: Given hyperboloid We have yo parametrically define the hyperboloid.

Q: Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the 8…

A:

Q: Determine whether the set of vectors is a basis for the subspace of R^n that the vectors span.…

A: a) Suppose that    be  a  basis  of      Then, which is  a  contradiction.    Hence, is  not a…

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Q: Compute all primitive roots (generators) in U49.

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Q: Find the function y(t) that satisfies the differential equation dy = - 2ty 12t² et² dt and the…

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Q: 3 b) please

A: f(z) = (z−zi​)31​ + 8 z−(i−3)z−(i−3)​ + 6ez-iExplanation:Here's the justification:a. Pole of order 3…

Q: Question A rocket is travelling in a straight line for a minute. The distance in metres covered by…

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Q: Find the Laplace transform of f(t) t, 0≤t<1, 1. f(t) = 1<t<2, 3-t, 2<t<3, 38 (0, t≥ 3

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Q: A random sample of 105 automobile owners in a region shows that an automobile is driven on average…

A: A random sample of automobile owners in a region shows that an automobile is driven on average…

Q: 13. All binary strings with is defined recursively as follows: Basis Step: ES Recursive Step: If ze…

A: Given,Basic step: Recursive step: if where  is an empty string

Q: Use Laplace transforms to solve the following initial value problem. x''+x=sin 2t, x(0) = 0, x'(0) =…

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Q: (a) (N,), a 2. (b) (C\{0},), a = i. (c) (Z2×2,), a = [7]. (d) (R³, +), a = (1, −1, 1, −1, 1, . . .).…

A: (a) Here .Noted that there is no positive integer  .Hence no finite order exists for  .also there is…

Q: 15. The following puzzle appeared without attribution in the Spring 1989 Newsletter of the…

A: The flaw in the argument presented in the image is the incorrect assumption that  (e2πi)θ/2π…

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A: Given: We have to find the Laplace transform of the given function.Here we use the following…

Q: 8y'' + 4y' +y = 0 solve for y(0) = 0; y'(0)=1

A: Given differential equation is:8y"+4y'+y=0

Q: Solve the given linear programming problem using the table method. Maximize subject to P = 7x1 + 6x2…

A: to find  the solution to this problem, we will be using the Simplex method (BigM method)(Caution:…

Q: Show that the function f(x) = exp(x) has only one zero, x*. Write down = 0. Starting with an the…

A: Analyzing f(x) and Applying Newton's Method1. Uniqueness of the Zero:Let's consider the behavior of…

Q: 3. Use the short truth table method to determine the validity or invalidity of all the argu- ment…

A: Let us construct a short truth table.(b)We will assume the premises to be true, and the conclusion…

Q: Given the sequence defined by the following recurrence relation: a₁ = 2 a=a- for i≥2 Prove that a,…

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Q: Q2. Using tables of Laplace Transforms and operational theorems, determine -1 - 65+ 15 ess] (i) 2…

A: We have to find the inverse Laplace transformation of the given function.Note: According to the…

Q: Case: S is finite Since S is finite AND sequence is Cauchy then the sequence will be a a Constant…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 4. Sketch the solid whose volume is given by the iterated integral. 1 1-x 2-2z dy dz dx 0 2 2-y (b)…

A: We have to sketch the solid whose volume is given in the iterated integral.Note: According to the…

Q: (a) M = Q; a °b = a + b - 3ab (b) M = { A ∈ R^2x2 | det A = 1}; A °B = AB (usual matrix…

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Q: a. Find the most general real-valued solution to the linear system of differential equations x1(t)…

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Q: Recall that if p> 5 is prime, then the decimal expansion of 1/p has period e equal to the order of…

A: Given:  is a prime number.The period  of the decimal expansion of ​ is equal to the order of .To…

Q: Plz solve correctly all parts Will definitely upvote

A: The objective of the question is to calculate the line integral of the given vector field along two…