A piecewise function is defined as follows: y= -2x-1 -1

Q: Suppose that p is prime and |G| = pn. If H is a proper subgroup of G,prove that N(H) > H.

A: Given: H is a proper subgroup of G and G=pn. To prove that NH>H.

Q: x2 P x1 x² dx 2 xy' +1

A: Given that  I=∫x1x2x2dxxy'+1 Solve the Euler equations to make integral stationary.

Q: Find the equation of the chord of the circle x\power{2}+y\power{2}=a\power{2} passing through the…

A: Let P(2,3) be the given point and M be the middle point of a chord of thecircle x2+y2=a2 through…

Q: b) Estimate the critical initial population ye below which the population will become extinct. NOTE:…

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Q: Vector A = in rectangular coordinate system at P(18, 18, -6). What is the magnitude of vector A in…

A: To find the magnitude of vector A in the "theta" direction in the spherical coordinate system at P,…

Q: Either use an appropriate theorem to show that the given set, W, is a vector space, or find a…

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Q: centroid of the region shown, not by integration, but by locating the 2 0 -2 -3 -2 y -1 0 1 2 3 X

A: Solution

Q: For the function of (x,y) f(x,y) = |x| + |y| draw the level set f(x,y) = 1, f(x,y) = 2.

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Q: Use A-¹ to decode the cryptogram. 1 22 79 -2 -1 6 8 34 75 -19 21 157 -1 10 38 0 13 43 -13 -1 57 0 13…

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Q: 2. Find a CR-decomposition for each complex matrix A and state the rank of A. -1 1 2+ i ^=671²1 i…

A: Let A is a matrix of order mxn If the rank of A=r  For the decomposition A=CR C is a matrix of order…

Q: Determine whether the given planes are perpendicular. 3x - y + z - 4 = 0, x + 2z = -1

A: The given planes are 3x-y+z-4=0 and x+2z=-1. We have to determine whether the planes are…

Q: ind the equation of a circle with center (4,3) touching the circle x2 +y2 =1. Find the equation of…

A: Let the circle be x2+y2-8x-6y+k=0 touching the circle x2+y2=1. then the equation of the common…

Q: . For the given function f(x,y)=x²-y (a) Draw level curves for f(x,y)=k, for k= 0, 1, 4, and 9. (b)…

A: Given f(x, y) = x² - y²

Q: Test the series below for convergence using the Ratio Test. (-1)"6²n+1 (2n + 1)! ∞ n=0 The limit of…

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Q: 2 Find the volume of the region between the cylinder z = y² and the xy - plane that is bounded by…

A: We have to find the volume of the region between the cylinder z = y2 and the xy - plane that is…

Q: Part 2 Write each vector as a sum of scalar multiples of v₁ and 72. Enter v1 for ₁ and v2 for v2.…

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Q: A dam is inclined at an angle of 30° from the vertical and has the shape of an isosceles trapezoid…

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Q: Simon has a certain length of fencing to enclose a rectangular area. The function A models the…

A: Given: We have to find the area enclosed by the function and choose the correct statement.

Q: In this problem, we use weak duality to prove Lemma 3.a Show that Lemma 3 is equivalent to the…

A: a) We can use the contrapositive of Lemma 3 to prove the equivalence: Contrapositive of Lemma 3: If…

Q: In each of the following answer true if the statement isalways true and false otherwise. In the case…

A: This statement is false. Here's a counterexample: Let A be the following symmetric matrix: A =[1 0]…

Q: Find the equations of the normals to the circle x\power{2}+y\power{2}-8x-2y+12=c at the points whose…

A: The abscissa of a point is found by substituting the ordinates and solving for abscissa.therefore,…

Q: Fill in the blanks with the correct answer. The measure of ABD is 114°. What are the measures of ABC…

A: Given ∠ABD=114°and ∠ABC=x∠CBD=2x∠ABD=∠ABC+∠CBD114°=x+2x3x=114°x=1143=38°

Q: Find the compound amount and interest if 25,000 is invested for 1 year at the rate of 11.5%…

A: INTRODUCTION Compound interest is the interest that is calculated not only on the initial principal…

Q: A store gathers some demographic information from their customers. The following chart summarizes…

A: Note: According to our company guidelines I am supposed to do only the question in the first picture…

Q: LO 5 4 3 2 1 -2 -4 -5 2 4 6 8 00 10

A: To find the parent function of the given graph :-

Q: Suppose T : R² → R² is a linear transformation that first reflects points across the ₁-axis and then…

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Q: olve using methods of undetermined coefficients. (D2 - 2D +2) y 24 ex sin 3x when x=0, y=0,…

A: Given the differential equation         (D2-2D+2) y=24exsin 3x,    when x=0, y=0, y'=0.

Q: 1. Let h: R→ R be some twice-differentiable function. Define f(x, y) = h() for all x 0. Show that 8²…

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Q: An online retailer has determined that the average time for credit card transactions to be…

A: Given: It is given that the average time for transactions to be electronically approved is 1.9…

Q: If f(x,y) = 2x^2 -xy +y^2, find partial derivative

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Q: If graph G₁ is planar and isomorphic to graph G₂, then G₂ must be planar. True False If the nodes of…

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Q: (c) Let a be a positive real number and let b₁ = for all n. Prove that bn converges. 2=1 (d) Let x…

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Q: 10. Prove the following inequaltities for any positive real numbers x,y: 3 @xy² ≤ x² + y²

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Q: Find A. A = (3A)-1 [ -3-2 4 2

A: Let us consider that                     A=abcdWe have                   (3A)-1=-3-242 ⟹…

Q: Let f: RR be a Lebesgue measurable function. Prove that there exists a Borel measurable function g:…

A: As per the question we are given a Lebesgue measurable function f : ℝ → ℝ and we have to prove that…

Q: Problem 4 that 2m-11 mod m. Let m = 4"-1 be a positive integer. If 4" = 2 mod 2n then show

A: Since it is given that 4n≡2 mod 2n,   4n-2=a multiple of 2n. Let 4n-2=2np where pis an integer and…

Q: Each machine on Widgetco’s assembly line gets out ofwhack an average of once a minute. Laborers are…

A: a) Widgetco's hourly cost can be expressed as the sum of the cost of labor and the cost of idle…

Q: 412 - x² + 8x| k + 393 (kx)² - 3 (a) Find the value(s) of k such that lim_ f(x) exists. (b) Find the…

A: Given: f(x)=412-x2+8xx<-5k+393x=-5kx2-3x>-5

Q: Consider a temperature-sensing network consisting of N sensors, deployed on an interval X in R. Let…

A: As per the question, we consider a temperature-sensing network consisting of ℕ sensors, deployed on…

Q: Let'W (s, t)= F(u(s, t), v(s, t)) where W,(1,0) 6 We(1,0) = u(1,0) = -7, u,(1,0) = -6, u,(1,0) = -5…

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Q: A two-person zero-sum game with an nn reward matrix A is a symmetric game if A AT. a Explain why a…

A: Introduction : In the two -person zero- sum game. A symmetric game is a game where the payoffs for…

Q: Beginning inventory February 5 February 9 March 3 Units sold 45 25 18 26 80 $840 $1,770 $965 $490…

A: Solution

Q: Find the area of the region common to the interior of the of the cardioids r = and r = 1 + cose…

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Q: Rules of the Game Using the notation that was introduced in the Crowdmark question for this part,…

A: We have to write the given three rules of the game explained in English in the symbolic form.…

Q: Each of the following graphs represent rational functions where the numerator and denominator are…

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Q: 7. For the differential equation (12x)y" + 2y' + (2x - 3)y=e=" (a) Write the associated homogeneous…

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Q: Use Euler method to approximate the value of y(0.1), given y' - 4y = 3x², y(0) = 5 with Ax = 0.0125

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Q: Suppose that f: R² →R has continuous second order partial derivatives. Set x = s+t, y=st to obtain…

A: x=s+ty=s-tgs,t=fs+t,s-t∂2f∂x2-∂2f∂y2=∂2f∂t∂s

Q: evaluate the given expression with u = (2,−2,3), v = (1,−3,4), and w = (3,6,−4). (d) ∥3u−5v+w∥

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Q: 4) Find the equation of the normal line to the implicitly defined curve x³y² =10+2xy at the point…

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