3.

Q: Ssin'r cos"xde .2 x cos-xdx xp: 4.

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Q: In the expansion of + 6)-", state the number of terms and the coefficient or the middle term. 21, 20...

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A: if n is an odd integer then we have to prove n^2 is an odd integer. a) let us consider n=2k+1 ,since...

Q: If g(1) = 2, g(5) = 8, and 9(x) dx = -5, evaluate the integral æg'(x) dæ. |3D Answer:

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Q: Given the set C=(2,4,6,8).Consider the relations R 1 and R 2 defined on C as follow: (x, y)e R; if a...

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Q: Express the given percent as a decimal. 1 (Round to five decimal places as needed.)

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Q: n n ( a) Σ n3 +1 n=1 n² + 1 ( b) Σ n n3 +1 n=1 n3 (c) 5η n=1

A: (a). Given series is ∑n=1∞nn3 + 1 Here an = nn3 + 1 let bn = 1n2 So limn→∞anbn = limn→∞11 + 1n3 = 1 ...

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Q: 2. An automobile travelingat the rate of 20m/s is approaching an intersection Whenthe automobile is ...

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Q: 2. Now consider the series v8(4n)!(1103 + 26390n) 9801 · 3964n (n!)4 This series was discovered by t...

A: (a) Given series, ∑n=0∞an = ∑n=0∞8(4n)!(1103+26390n)9801·3964n(n!)4 Here, an = 8(4n)!(1103+26390n)98...

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Q: 1. Use Newton's method to approximate a solution of 4/r = 1+x in the interval [2, 3] to five decimal...

A: The complete solution is in given below  

Q: 1) How many triangles can be drawn on a plane using 8 non-collinear points?

A: To find the number of triangles drawn on a plane using 8 non-collinear points.

Q: Consider the following system of equations. 2x  +  3y  =  10 3x  +  5y  =  16   (a) Write a matrix ...

A: The system of linear equation can be written by the matrix equation. Matrix equation is an equation ...

Q: Elisa needs money to repair her home air conditioner, so she pawns her bicycle. The pawnbroker loans...

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Q: sa lifeguard and spots a drowning child 40 meters along the nild. April runs along the shore for a w...

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

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Q: Music Preferences Students at a high school were polled to determine the type of music they preferre...

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Q: 5. (Induction) We will prove the formula 1.1.1, 1 248 valid for n-1,2,3,.., using induction. (a) Ver...

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Q: Exercise 1 Use rectangular coordinates to evaluate [[[ y dV , where E is bounded by the planes x= 0,...

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Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and ze...

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Q: ONo:03: Calculate the value correct of NToz -Jiol to fecr significant' figutes.

A: Linear approximation, value of the root(x)

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Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your...

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Q: xn+1 = yn     ,     yn+1 = 1 - a (yn)2 + b xn 2) xn+1 = 1 - a (xn)2 + b xn-1 3) un+1  = vn       ,...

A: Given: xn+1=yn, yn+1=1-ayn2+bxn xn+1=1-axn2+bxn-1  un+1=vn, vn+1=a-vn2+bvn xn+1=byn, yn+1=1-ayn2+xn...

Q: \ Let v = (v, v2) be a direction vector on a line . The number 8 %3D defined to be the slope of the ...

A: This is a problem of geometry and vector algebra.

Q: 1 е dx x3 2.

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Q: Use the simple interest formula to determine the missing value. p= ?, r= 6%, t =9 months, i = $54

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Q: the sum of the angles of a triangle

A: The sum of the angles of any triangle is 2π i.e. 180°

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Q: find the location and value of the absolute maximum and minimum of the f(x,y)=e^x - sin(y) on the el...

A: As per the question we have to both maximize and minimize the bivariate function f(x,y) constrained ...

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Q: Consider the following vectors in R°: -5 -4 6 9. -1 4 3 -6 Vị = V2 = -5 V3 = -5 V4 = -5 V5 = 9. -5 1...

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Q: Consider the function f(r,v)- (a) Find and sketch the domain of f(z,y). Shade the region correspondi...

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Q: What is the difference between roster and set builder notation. Explain with examples.

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Q: 2х [3]y = Ce* +C2e- - 3x+3/2-2xe

A: 3 Given that y=C1e−x+C2e2x−3x+32−2xe−x.......1. We have to eliminate the arbitrary constant. Differe...

Q: Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-l)-' = R. (b) (RUS)-I = R-Us-!. ...

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Q: For each of the systems below, sketch the phase portrait. Make sure to include nullclines, equilibri...

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Q: Let f(x) = (x - 3)-2. Find all values of c in (2, 5) such that f(5) – f(2) = f'(c)(5 – 2). (Enter yo...

A: Introduction: The mean value property is a very important and advanced property shown by a different...

Q: Which of the below terms best classifies the given shape below: O octagon O heptagon O hехagon O non...

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