example to prove 2. Show that a constant function is continuous. Present an the proof.

Q: 2. Find the Fourier series expansion of: So, sin Tz, 0<r<1 -1<1<0 f(r) = and then use it to find the…

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Q: Suppose we ALREADY KNOW that this field is conservative in Octant I: F (x, y, ±) = In (æ) + =, In…

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Q: I. Find the weighted mean price of three models of television sets sold. The number and price of…

A: Given:   Model       Number                  PriceA                       8                   10,000…

Q: +)Use the Runge-Kutta Method Seve ue:- P0.2

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Q: Prove thatc "is a vector space over the field of real numbers as well, for any n

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Q: see the part I was missing was shifting the index from n=1 to n=0, so that it is possible to create…

A: You may find my method more appealing and easier. Please look into it

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Q: f (x+h)- f(x) 5x³-3x+4 Problem #1: Using lim,»0 Find the slope of the tangent line y = h 2x+7 at x =…

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Q: A region is enclosed by the equations below. y = e x = 0, x = 6 %3D Find the volume of the solid…

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Q: (a) Find the domain and ran ge of f. (b) Draw a conto ur map of f for k =-2,-1,0, 2 (c) Using part…

A: This is the problem of multi-variable calculus.

Q: Problem 10 (Hyperbolic Functions] (a) For what values of k is lime 3x cosh(kx) finite? X00 sin h(kx)…

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Q: b) Find the values of a and b so that the unction f(x) = x² + ax + b has a local maximum at the…

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Q: A man sold half an egg more than half his eggs. He then sold half an egg more than half his…

A: We can solve this by given information

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: Show that for every positive integer n there exists an irreducible polynomial of degree n over Fp.

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Q: Find the Directional Derivatives of f (x, y) = ey at (2, 3) in the direction v = 3i – 4j

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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: Write your answer on a piece of paper. Make a table for x and y. Assign the numbers: 1, 2, 3, 4, 5…

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Q: A particular antibiotic is introduced to a petri dish containing 1000 newly discovered flesh -…

A: Let N0  be initial and Nt after t hours Then Nt = N0 (1 - 1/3)t.               Nt = N0…

Q: Exercise 6.1.13. Let G = (a) be a cyclic group of order n, H a group and h e H an element such that…

A: Here given G=a be a cyclic group of the order of n, That is G=a, a2, a3,.....,an=e  Consider H be a…

Q: Given the vectors a=(-1,5,-4) and b=(2,-7,2) find the vectors x € R3 , with magnitude v371 and…

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Q: What is the y-intercept of 5 times x plus 6 times y equals 9? 3 2 3. 2. b: 3. b= %3D 23 23

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Q: 3x 1. dx (Зx2 + 2)2 -3 2.J2 13-x 1 dx

A: Convergence of the series

Q: et A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

A: This is a problem of 3D geometry and multi-variable calculus.

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

A: Solution :-

Q: Let n e Z. n#-1,3,

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

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Q: In this question we prove that certain sets are not convex. For each of the following sets, give the…

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Q: а. 10х, + 2х, — х, 3D 27 — 3х1 — 5х, + 2х; — —61.5 X1 + x2 + 6хз — — 21.5

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Q: The average value of f(x, y) over the rectangle R = {(x, y) a s*S b, csysd} is %3D 1 fave (6- a)(d-…

A: The Formula for the average value of a function over an region is given. So use it we have

Q: 9B u- A2- (+4) + (+-2t)k aond V = Sintî + 3e-+ - 30ost e then bind (ůx) at-0 %3D the value ot d?

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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: Quiz: For the list of degrees below: name degree Ahmed 66 Ali 90 Mona 45 Salma 76 Karim 78 Use…

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

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Q: . LINEAR EQUATIONS WITH CONSTANT COEFFICIE 1. (9Dª + 6D³ + D²)y = 0 %3D

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Q: 25. The graph of y g(x) shown below is the transformation image of the graph of y = log,x. Kendra…

A: Given graph of function is

Q: 23. Jake had these balances on his credit card for his last billing period. He did not pay the card…

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Q: part e

A: The time after which we encounter the next marker is determined as shown below.

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: 1- Prove the following relations: ag = (x – t) g(x, t) at (1 – 2xt + t?)- (1) (1 – 2xt + t?) ag = t…

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Q: th n = 4 to approximate the integral

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Q: Let A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

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Q: Consider the function g defined by 1 g(x, y) = cos (Tx /y) + log3 (x – y) In what direction does g…

A: A function g have maximum directional derivative in the direction of  ∇g Maximum rate of change is…

Q: Let V be a finit dimensions vector space of at least dim =1, Let T: V-> V be a linear transformation…

A: Solution

Q: Let V be an inner product space, and let u, v e V be unit vectors. Is it possible that (u, v) < –1?…

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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: Consider the following statements about the surface of equation 2 = ye- – 2xy? and the point P(0,-2)…

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Q: a. ) Find the class mark, range with 7 as the classes. Arrange the classes in decreasing order. b. )…

A: a) find the class mark , range with 7 as the classes . arrange the classes in descending order.…

Q: Use a definite integral to find the area bounded by the curve x+3, the axes over the interval…

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