+ Is f one-to-one? is fonto? f:w→ z defined by f(n) = n! = (1) (2) (3)... (n − 1)(n) with 0!: = 1

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: The Laplace transform of the function u: [0, ∞) → R [(t-2)² + (t-2) sin(5(t-2)), for t > 2, =…

A:

Q: Let (X, d₁) and (Y, d₁) be metric spaces. Let f: X Y be continuous function, then f-¹(G) is open in…

A: Solution

Q: A triangular sandpit having side lengths 5 m, 4 m and 8 m is to be constructed to a depth of 20 cm.…

A: The volume of a solid is calculated by multiplying the area of the base by the height/depth. The…

Q: (b) Consider an object of mass m, dropped from some initial height and falling down towards Earth's…

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given z=4-x2-y2, z=-1

Q: Determine the equation of the radical function represented by the graph. +

A: The given graph as

Q: 1. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using:…

A: According to rule of bartleby we can solve only first main question or three sub question of first…

Q: Find a. a. b. ow ax dw dz dw dx y and b. (2,-2,-2) (2,-2,-2) ow at the point (x,y,z) = (2, -2,-2) if…

A: To find- Find  ∂w∂xy ∂w∂zy at the point x, y, z = 2π, -2, -2π if w = x2 + y2 + z2 and y sinz + z…

Q: If A is a 7 X 9 matrix with a 2 dimensional null space, what is the rank of A? Could a 6 X 9 matrix…

A: Given that A is a 7×9 matrix with a 2 dimensional null space. We have to find the rank of A. Since,…

Q: Obtain a system of autonomous first-order differential equations in vector field format: (x + y² + x…

A: As per the question we are given a system of second order non-autonomous nonlinear non-homogeneous…

Q: (D6 + 10D4+25D²)y = 0

A:

Q: Find an equation for the plane that is tangent to the surface z= In (x²+y^) at the point P(0,1,0).…

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Q: Using Limit Comparison Test (LCT) the following series +∞ n2 + 3 Σ; ηνησ + 5 n=1 test is…

A:

Q: 9. Let f be a continuous real-valued function on (a,b), 8 €R[a, b] with g(x) = 0 for all x E (a. b).…

A: Given- Let f be a continuous real-valued function on a, b, g ∈ Ra, b with gx ≥ 0 for all x ∈ a, b.…

Q: 6) FIND THE INVERSE USING GAUSS-JORDAN REDUCTION METHOD (NOT-SINE) www. 2 0 3 0 2 0 - 4 A = 1 1 3 0…

A: The given matrix is               A=203020-411-11-302-28 To find: the inverse of A.

Q: Let f: R → R defined by f(x) = sin x has 0 as a fixed point then f is a contraction. True O False

A: Contraction mapping

Q: 1. The Maximum point of y= (x²+2x+10) (x-3)

A: We have to find the maximum point of the given rational function. We can find it in two ways, either…

Q: (0,4) C R (-2,0) (-1,0) (1,3) (c) Use the WASHER METHOD to set up a (sum of) definite integral(s)…

A: Divides the region into two subregions.

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

A: Given vectors are y=466−1, u1=1101, u2=−120−1 and u3=−1011. Now, the formula of orthogonal…

Q: Math 341 Assignment --- Submit your work on Blackboard This assignment is to check your…

A:

Q: Recall the following table, which shows that is a primitive element of the field GF(16)…

A: As per the question we are given a polynomial ring Z2[x] and its quotient ring Z2[x]/(x4+x+1) From…

Q: The figure below shows a function g(x) and its tangent line at the point B = (2.8, 8.2). If the…

A: The coordinate of point A and point B are given below. A=2.77, 8.14B=2.8, 8.2

Q: (b) Consider an object of mass m, dropped from some initial height and falling down towards Earth's…

A: According to the guidelines, we will solve first question only.

Q: Using the Runge-Kutta method of the fourth, solve y"= y + xy', y(0) = 1, y'(0) = 0 to find y(0.2)…

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Q: 1 1 b. From (i) prove that, xb + x ² + 1 + x² + x ² + 1 ² + 1 = 1 xa +x+b+1 c. From (ii) given in…

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Q: The ellipse with the given equation is centered at x² +9y² + 3x - 18y + 9 = 0 3 9 (²/₁₁) (²17,¹1) 2…

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Q: [[F(x, R th limits of integration B D -IT² f(x, y) dA = f(r cos(0), r sin(0)) r dr de (Click on…

A: In this question, the limit of integration of polar coordinates is determined.…

Q: Find the following in the form of x + iy 12 1. (1 + i)¹²

A: We have given that, 1 + i12 We need to convert it into in the form x + iy. Here , z = 1 + i in first…

Q: Wara(0 litrix t 10 11 DAVIDICI O 0000 Draw the space which has the incidence space? AL atrix below.…

A: We are given the following incidence matrix.            0110101111100000 Let us assume the…

Q: 1. (D²-8D+20)y=100x² - 26xe*

A:

Q: Which polar equation is represented by the figure?*

A: Solution :- this graph is  r=a sin(2theta)

Q: Let (X, T) and (Y, T₁) be two topological spaces and let f be a continuous mapping of X into Y. O If…

A: Solution

Q: would you please write this part in handwriting? because im not sure i understand. Let…

A: Solution

Q: 1 Consider the series (-1)-¹ Σ(−1²+ (x+1)* where b is a given non-zero constant. Find the nb2n 1=0…

A: Infinite series: An infinite series is represented by ∑n=0∞ anx-cn, where an is the coefficient of…

Q: Calculate the arc length of the cycloid x(t)= a(t— sint), y(t)=a(1— cost), telo 201 a

A: Introduction: The distance between two places along a portion of a curve is called arc length.…

Q: 1.4. (-) Exhibit a graph G with a vertex v so that x (G-v) < x (G) and x (G-v) < x (G).

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Q: 2. Let X be a normed space and UC X a closed subspace. The subspace U = {X E X' | Vu EU: X(u)=0} is…

A: Suppose that there existx∈U⊥⊥:=x∈X : fx=0, for all f∈U⊥ such that x∉U.¯Evidently, x is not zero.…

Q: By 28(1 + i√3) solve all of its z-values if it is raised to 14.

A: Solution : To find, 28(1+i3)14 =56eiπ3+2nπ0.25 where, n∈ℤ n=0,1,2,3 =2.74eiπ12+nπ2

Q: Numerical Integration: 2 1 ² 1. =dx Jo √x

A: As per the question we are given a definite integral and we have to solve it numerically. Here we…

Q: Solve the system u = 3x-y, v= 3x + 2y for x and y in terms of u and v. Then find a(x,y) the value of…

A: The given system of equations is: u=3x-y and v=3x+2y Subtract u from v:…

Q: Let X = {1,2,3,4,5} and let T = = {x, Ø, {2,3,4,5}, {1,2,5}, {2,5}, {1}}. O (X,T) is Hausdorff but…

A:

Q: X 1 4 7 9 11 f(x) 12 -23 -15 33 -13

A: The given set of data is                           x f(x) 1 12 4 -23 7 -15 9 33 11 -13…

Q: (d) Show that for all integers n > 1 S(n, 1) = 1 = S(n,n), then, using the above relation (or…

A: Solution : Stirling number S, defined by, S(n,k)=1k!∑i=0k-1ikik-in d) S(n,1)=1 Only one way to put n…

Q: L-1 -3s²-12s-87 의 (s+2)3

A:

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2. Lim: xcosx X-0 sin ²x 2

A: The output of the function changes with the input. If the function f(x) has the limit L at x=a, then…

Q: Use Ackermann's Formula to find the observer gain L so that the eigenvalues of A-LC are placed at -3…

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Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

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Q: Find the inverse Laplace Transform of 3(S-1) A. 3(cost + sint) B. (S-1)²+1 3s s²-2s+2 C. 3(S-1)…

A: We will use table of Laplace transform

Q: Ex: 1) Let f(x,y) sin(xy) X to wake fa cont. function on all of R²? ,x= 0. How should you define…

A: