Prove: Let the function f:X →Y and g:Y →Z be continuous. Then the composition function g•f:X→Z is also continuous.

Q: A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second…

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Q: Let X be the subset (R x {0}) U (R x {0}) CR2 Show that the quotient space X/~ is locally Eue line…

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Q: Question 4. (or both) that is an equivalence relation, write the equivalence class of any one…

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Q: Chickens have the greatest population among the species of birds because they are use they are one…

A: Given Chickens have the greatest population among the species of birds because they are used as…

Q: Let f(x, y) = xy – ev. At the point (1,-1), Which one of the following statements %3D is true? The…

A: Solution :-

Q: Let E be the surface with equation (y – 4/2)2 1. | 32 52 42 (a) Give equations of the traces of E in…

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Q: 12. Consider the solid Q bounded by the surface of equation z = x*+ y° and the plans z = 4, yv3 = x,…

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Q: A company estimates that a certain piece of machinery will have to be replaced in five years' time…

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Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

A: Note: We know that integration of x^n is given as x^(n+1)/(n+1) + C. Where n not equal to -1 and C…

Q: Let y = and u = Write y as the sum of two orthogonal vectors, y, in the span of u, and y, which is…

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Q: 3. Evaluate: lim X-0 \sinx

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: use the Fuler method's Solve the: y(0) =1h=02

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Q: (a) and value ot odiv arad - R Bind the and Curd gras te AX A = Le2 (b) gt Ř -Îx +âtêz and rolRi…

A: Using partial differential.

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy)+ log3(x – y)' Do as indicated. 1.…

A: First we change the base if logarithm to e.

Q: :Write step by step solutions and justify your answers. Ques Evaluate L fe³ – (5t – 2)² - sin(-5t) +…

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Q: Q1: For the given matrix A, find (a) The rank of the matrix A, (b) a basis for the row space (c) a…

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Q: There are two numbers whose sum is 72. One number (x) is twice the other (y). What are the numbers?…

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Q: 1- Study the measurability of the functions:

A: Given  Two functions....we must study the measurability of the functions....where p is not…

Q: Let X be an infinite set. (a) Show that is a topology on X, called the finite co со

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Q: +) Use the Euler methad's Salvetue:. C1 )りy=eッh=o.2

A: Euler's method

Q: Pleaase do handwritten solution in part 2 nd 3 because I couldn't understand it thank you

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Q: ĐUse the improved Method Sove the: 5.52ダー0 0-2

A: To find the solution of a given differential equation by improved Euler's method we will use the…

Q: 1 B = -2 -2 ? Why? -1 5. 327 3. :-

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Q: Q3: Given that what is (A + B)?

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Q: 4) Find the area of the region common to the interiors of the cardioids r =1 + cos 0 and r%D 1- cos…

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Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: 1 |S (5x )sin |dx || NA X \dx + C( 5x – 15 )sin 1.5 NT X 1.5 1.5

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Q: (d) a sin 0 d0 + (x³ – 2x2 cos 0) dx = 0 - %3D (e) x dy - [y + xy°(1+ ln x)] dx = 0 %3D

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Q: 1. Find an equation of a curve, such that at each point (x, y) on the curve, the slope equals twice…

A: We have to find equation of curve.

Q: Part 2. Compute for the volume of the solid formed on the first quadrant of the cartesian plane…

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Q: ices with the same size, then (AT + B")":

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Q: we have 1529 MOD 83 = 2 Find the inverse to 2 by using the Euclid's algorithm

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Q: Show that recel projeetrue space is an manifol a.

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Q: If we use the Method for Variation of Paramet nonhomogeneous differential equation for wh W, =…

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Q: f (t)%3 3e ' cosh ( In 2r)

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Q: a) Given the vectors in R3 v, =(11 -3), vz= (1 -3 1), v3=(-3 11) Using the system of linear…

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Q: Find the Laplace transform of 1. f(t) = [1– uz,(t)](2 sin t – sin 2t)

A: We have to apply the Laplace transform of the given function.

Q: If 1 d 1 d a a det b = -1, and det 6 2 = 3, e e 1 f 3 f then a d det and e f d' det 1 e 2 f]

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Q: Hw1: Calculate the volume under the surface f(x.y) = 6y? - 2x. For R: 0 sxS1, 0 sys2

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Q: b. 14 d. 36 11.What is the probability of getting an even number in tossing a die once? а. 25% b.…

A: Solution:-As per guidelines I submit first question only

Q: se N.P.M. to estimate the root of -X = e -X for an initial of Xo =0

A: Here f(x)=e-x-x,  x0=0. We estimate the root of f(x)=0 by using N.R.M.

Q: Use Rolle's Theorem and/or the Mean Value Theorem to prove that the function f(x) = 2x + sinx has no…

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Q: 1- Use Euler Method to find value of y at x = 1.5 for the D.E. y' = x/y with initial value y(o) =…

A: We first find the solution by Euler method using the step size h=0.3 of the given differential…

Q: Consider the function g defined by 1 g(x, y) = cos (Tx/y) + log3 (x – y) Calculate the instantaneous…

A: Instantaneous rate of change (Directional derivative )  of a function f(x,y,) in the direction of…

Q: Calculate the middle rectangle approximation of , Vxdx using five subintervals. O M5 = 0.624 M5 =…

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Q: A company estimates that a certain piece of machinery will have to be replaced in five years' time…

A: Solution :-

Q: In Physics class, Zoe learned that because of energy losses, when a basketball is dropped to the…

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Q: Given: surface G : y = e^Z (1) Graph S in the three-dimensional space.

A: Hi! As per norms, we will be answering only the first question. If you need an answer to others,…

Q: 2 = In(x10y?) + Consider z as a function of the variables x, y which is denoted by ||u|| = V82. and…

A: Directional derivative.

Q: ĐUse the Fuler method's solve the: らゃう2び20 (o)1 れ:0r

A: We will use the formula of Euler method which is  yn+1 = yn + hf(xn , yn).  Then we will perform the…