Let f: R → R be defined by f(x) = [2], and define F: R→ R by F(x) = [₁ f. Find a formula for F. Where is F continuous? Where if F differentiable? When does F'(x) = f(x)?

Q: 4. Find the volume of revolution generated by rotating the region bounded by y=x²-x²-9, y = 18-x²…

A: Given : y = x3 - x2 - 9 , y = 18 - x2 and y=0 and the axis x = 1.   To find : The volume of the…

Q: 1 a 0 b 1 -1) 31 For which values of a and b is-2 invertible? Why?

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Q: D U B [1] E Find any Euler circuit on the graph above. Give your answer as a list of vertices,…

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Q: 3. What transformation occurs from the graph of the function of y = tan x to y = 1 + tan x? Graph…

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Q: 3. Suppose that p is a nonzero continuous operator such that p is Hermitian (i.e. p* = p). (a) Show…

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Q: 2. Use spherical coordinates to evaluate fff (9-x2 - y2) dV where E is the solid hemisphere x² + y²…

A: That is circle or radius 3 in xy plane and the equation of the circle is x2+y2=9

Q: Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper…

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Q: Solve for z: 2²-(3-2i)z =(5-5).

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Q: 6. For the graph shown right: a) Does it have an Euler circuit? If so find one. If not, state why it…

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Q: For the matrix below: [1] [2] [3] [1.] 3 4 7 [2.] 6 8 2 [3.] 4 3 9 What is A[-c(1.3).]? Choose one…

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Q: QUESTION 6 Given the following bipartite graph. The number of maximum matching is OOO 10 2000 9 F 11…

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Q: Estimate the slope of the tangent line to the curve at the given point (-5.5,4.911) on the graph to…

A: Given Point P(x, y) = (-5.5, 4.911) The slope of a line passing through points  ( x 1 , y 1 )  and…

Q: 207. The base of a lamp is constructed by revolving a quarter circle y = √2x - x² around the y-axis…

A: Consider a lamp whose base is constructed by revolving a quarter circle around the y-axis from x=1…

Q: Assume a, b, c, d and n are non-zero real numbers. For which of the matrices below is [2] ₁…

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Q: An election ballot asks voters to select six city commissioners from a group of sixteen candidates.…

A: An election ballot asks voters to select six city commissioners from a group of sixteen candidates.

Q: Show that (cos+ i sin 0)" = cos no + i sin ne for 0 € R and n € Z.

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Q: 5) Consider the parallelogram with vertices (0,0), (4,0), (6,2) & (2, 2). We know the area of this…

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Q: 4. Suppose that a positive integer is written in decimal notation as n = akak-1 a2a1ao where 0 <a;…

A: Here, we use theory of congruences.

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: . 6. Calculate the flux integral f F n ds, where C is the positively oriented circle of radius 1…

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Q: Find the limit of the following. 2 lim (√4x²+5x - √4x² - 2x) 00-X

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Q: Calculate the value of the multiple integral. D 23)ƒƒĎ (y)/(1+x²) dA, where D is bound by y = √x, y…

A: Integration is used to find the integration of a function. Integration means combining all the small…

Q: The graph shows the population of a subdivision over several years. Population vs Year Population…

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Q: Acme Annuities recently offered an annuity that pays 7.5% compounded monthly. What equal monthly…

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Q: K Let A = 90 01 Find 4A + 2B. 4A+2B= and B= -9 2-6

A: Solution :-     The given matrix are                                                           A =…

Q: 10. Calculate the recurrence relation for the coefficients of the power series solution about x = 0…

A: The given differential equation is                          y''+xy'+2y=0 We have to find the…

Q: The ellipsoid and sphere are tangent to each other at a point P(a, b, c) where Find the remaining…

A: The given problem is to find the point P where the given ellipsoid and sphere are tangent to each…

Q: Complete. When solving this problem, do as much as possible mentally. Refer to the conversion table…

A: Using  the conversion  table

Q: Complete the given ordered pairs for the equation. Then graph the equation. 4x + 5y = 20; (0, ),…

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Q: Use the given graph to find the indicated limit. IN 1 INI d lim f(x) DO տ T x

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Q: Suppose that g is a function of two independent variables that has continuous partial derivatives,…

A: Note: Directional derivative of f(x,y) at P(a,b) in the direction of v→ is given by: Dv→f(P)=(∇f.v^…

Q: The demans equation for a certain product is 5p^2 + q^2 = 1300, where p is the price per unit in…

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Q: Memorizing. The rate of memorizing information initially increases. Eventually, however, a maximum…

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Q: a) f(x) = log2 (x-1) + 2 x|f(x)= log(x) Transformation: D: R:

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: QUESTION 16 Find the derivative. Find f'(x) for f(x) = (4x² + 3x)2. O f(x) = 64x³ + 72x² + 18x Of(x)…

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Q: Calculate f f(x, y, z) dS For 3 Part of the surface x = z z³, where 0 ≤ x, y ≤2¯²; ƒ(x, y, z) = x Is…

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Q: You loaned a friend 1000.00 at simple interest of 4%. If total interest your friend paid was 150.00,…

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Q: -3 Let v1 = ----- -2 v2 = 1 v3 = -6 3 -3 v3}. Find the basis for H. and the H = span{v1, v2,

A: we are given three vectors  v1=-3-2-3,v2=-21-2,v3=1-63 we have to find the basis for H.

Q: The graph below is a transformation of y = 2X. Write an equation describing the transformation. y =…

A: ANSWER IS, y=-2(x+1)+1 THE COMPLETE SOLUTION WITH AN EXPLANATION IS GIVEN BELOW-:

Q: 1. Prove, for positive integers n, that 7 divides 6" + 1 if and only if n is odd.

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Q: may i please request a hand written solution

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Q: The following function is positive and negative on the given interval f(x)=sin 2x a. Sketch the…

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Q: Consumers' Surplus The demand function for a certain make of replacement cartridges for a water…

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Q: 4. A graph G has 9 vertices and 21 edges. Three vertices have degree x, three have degree y, and…

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Q: Calculate the eigenvalues and eigenvectors for A 2 2 -

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Q: We wish to solve the system 21 [sin(t) 1 [-²/3 via eigenvector decomposition. x' = V2 = 15 Let 71 be…

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Q: w is an imaginary root of unity. Prove that (i) (a+bw+cw³²)³ + (a+bar+ca)³ = (2a − b − c) (2b − a −…

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Q: 16 D 13 18 27 10 a 10 24 B 11 E 20 2 Find the shortest path from vertex A to vertex B. Give your…

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Q: Let A = 1 -2 3 -2 -2 a 3 2 . For which values of a is there always a solution of Ax=b?

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Q: I am struggling with this question

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