1. Use the graph of f(x) below to a) Determine the domain and range of the function b) Find all x such that f(x) = 0 c) What's the minimum degree

Q: A club has 100 members and their ages are shown in the table below: Marks 36-45 46-55 56-65 16-25…

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Q: Suppose that G and H are equivalence relations in A, and that G C H. Prove that Gr Gy if and only if…

A: Given G and H are equivalence relations in A. Let us start proving the step by step

Q: 7. -2 if 0<t<2 If f(t)= |3t if 2<t<3' f(t+3)=f(t) then f(t) is what type of function?

A: Periodic function: A function f(x) is said to be periodic function if for a non-zero P , f(x+P)=f(x)…

Q: Question 3. Let (X,p) be a compact metric space. Suppose that f: X→ X is a function satisfying that…

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Q: x = 0 x # 0 Let g(x) = (sin Find all values of h for which g satisfy the following conditions on I =…

A: Using intermediate value theorem.

Q: fx and y are two n-vectors, then prove that 1 1 -+-=1 (Holder inequality) (b) xy, <,, (Schwarz…

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Q: 1+ax ). dx Evaluate 1-ax

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Q: Consider f(x) = eª, 0<x< T. (a) Find the half-range Fourier sine and Fourier cosine expansions of f…

A: Given: Let us consider the given fx=ex, 0&lt;x&lt;π a) Determine the half-range Fourier sine and…

Q: The indicial equation of the differential equation x²y" - x²y' + (1 +x)y 0 is: O r(r-2)=0 O…

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Q: For the differential equation (x – 4)y" + (x– 2)y' + 2y = 0, the singular points are: O None of them…

A: Here we use the basic definitions of singular point

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A: The fare of a return trip is calculated by multiplying the fare of single trip by 2. The expression:…

Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: Consider the differentia equation y" – 2xy = 0. By using power series solution about the ordinary…

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Q: Sol vet he Vol terra integral equationof first kind g(t) g(x-t)dt = 16 sin 4.æ.

A: Solution:-

Q: Iculate the integral (2² - y2) dA nain D is bounded by y = r and y = 4x for I > 0. ving of the…

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Q: In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the angle a = angle…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: a) limn-o fn(x) for each r E [0, 1], and b) lim,- So fn(x) dx.

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Q: Calculus Find the following surface integrals. Here S is the part of the sphere x^2+y^2+z^2=a^2 that…

A: S is a surface given by parametric curve r u,v = xu,v i + yu,v j + zu,v k∫∫S   fx , y , z dS = ∫∫S…

Q: Let n be a positive integer and f(n) = -53n109 n51 + 53. %3D Then f (n) is

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Q: Find a series solution about the ordinary point 0 of the differential equation y" +8xy' – 4y = 0

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Q: 6. Let 15 2 8 B= |-3 4 1 L4 -4 5. e) Find odj a Compute det (B) E Show that the B (Adj B) = (odj 8)…

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Q: The eigenvalues of a symmetric L2 – kernel form a finite or an infinite sequence (A„) with no finite…

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Q: diff. eqs. =2 y" – 2x y + 2 y =x³sinx

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Q: r = 4 sin 0 r = 1+ sin 0 A Consider the polar curves (see figure above) r = 1+ sin 0 and r = 4 sin…

A: If f is continuous and non negative on the interval α≤θ≤β with 0&lt;β−α≤2π. Then area of the region…

Q: 5. Write each symbolic statement as an English sentence. Use p, q, r, s, and t as defined below. p:…

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Q: Find a series solution about the ordinary point 0 of the differential equation y" – xy' = 0. wwww w…

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Q: 3 be -2 Work Problem 2 : Let vi = and v2 = -2 two vectors in R?. (a) ! ! Determine whether v =…

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Q: Solve the following differential equation with the method of undetermined coefficients y" + y' – 6y…

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Q: Our aim is to check whether 179 is a prime number or a composite number. Which among the following…

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Q: 1. A long metal sheet with a width of L meters is formed into a gutter by bending up two of its…

A: A roof gutter is to be made from a long strip of sheet metal L units wide, by bending up equal…

Q: Solve the system of differential equations 29х — 50y 15х — 26у x(0) = – 13, y(0) = – 8 The lesser of…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Test the series for convergence or divergence. 3"n! 9- 15 - 21 .. (6n +3) n=1 Use the Select + and…

A: We will use the basic knowledge of sequence and series to answer this question correctly and…

Q: Solve y"+y = 0.

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Q: -1 3 8 -51 X1 6 -2 7 X2 -11 8 -9 -5 8 - 3 6 3 X3 1 7 4 A. Solve for the unknown values using Direct…

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Q: (e) A x (B – C) = (A × B), (Ax C). %3D (f) (A – B) × C = (A x C). (Bx C). (g) If AC B, then A x C ВХ…

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Q: Determine whether the following series converges or diverges: Vn5+8 Input C for convergence and D…

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Q: ined the genral solution 8) (D + D,)u = 0

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Q: Solve the following differential equation y'" +2y'+y= x-1 Select one: -2x + x-3 O a. YG.S= C,e+c2e'…

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Q: I. Consider the function g defined by 1 g(1, y) = cos (7x/) + log3(r – y) Do as indicated. 1.…

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Q: Assume that for a e R, f is 21.–periodic, g (z) = f (-r) and h (z) = f ( – a). Denote by Af and Bị…

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Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two o its sides so…

A: To find the maximum volume of the gutter.

Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

A: Question Find the solution of following linear equations x+y = 2  x - y = 0 Operation Add equation…

Q: Consider the following binary relation: Vx, y E R?, x Ey if x1 > Yı (indepen- dent of x2 and y2) or…

A: We will use the basic knowledge of relations to answer this question correctly and completely.…

Q: 2. Let V and W be vector spaces over a field F and let L: V → W be a linear transformation. Assume…

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Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: We have to use Langrages Multipliers Method to find the minimum distance from (0,c,0) to a point on…

Q: The box below is used to pack rectangular chocolate bars. The dimensions of the box are: length = 28…

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Q: 2. . Consider the function g defined by 1 g(x, y) = cos (TIVT) + log3(r – y) Do as indicated. 1.…

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Q: 9. If a, =1.57, a, -(-1) -11. b, --)" f(t) and period f(t) =f(t+4) up to n=2 is then the Fourier…

A: Fourier series of the function