x²+2 dx x+1

Q: 'apply Gauss Elimination method to solve the equation? x + 4y - z = -5 x + y - 6z = -12 3x - y-z = 4

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Q: t も c6 10. XCt)> { -8 + -8 t ct-6)? » t >6

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Q: y= f(x) ) Estimate s and the left end points. S(2) dr with 8 recetangles

A: Part (c):-  Given integral is ∫08 f(x) dx Number of rectangle = 8 that is, n=8. So, step size = b-an…

Q: 3. Use the Laplace transform method to solve the initial value problem r = 6x1 + 11r2, r = -4x1 –…

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Q: Write down the quadratic form corresponding to the matrix. [1 2 -3] A = 0 3

A: Given A = 12-303200-2

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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Q: 5. Consider the system of first-order PDES –1 ut + Auz = 0, A = 3 x > 0, t>0 1 (a) Show that the…

A: Given: The system of first order PDEs, ut+Aux=0, where A=5-131, x>0, t>0. Initial conditions:…

Q: Fatima bought a collector's basketball card in 1990 for $35. The value increases by x % every year.…

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Q: 1. If f : [a, b] → R and f(a)f(b) < 0, then f has a root in [a, b]. 2. Every subset of R which is…

A: As per the company rule, we are supposed to solve three sub-parts of a multi-parts problem.…

Q: Findthe Linearizationof Y= X+b

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Q: In this problem you will derive the formula for the Laplace transform of the second derivative of a…

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Q: Find an LU-decomposition of A. Show your work. 2 1. A = |-2 1 2

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Q: Assuming the roles of president and secretary cannot be filled by the same person, how many ways are…

A: When Tyler is chosen as president, we have 3 choices for the post of secretary. So there are 3 such…

Q: The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either…

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Q: Jo x² +6x+10 n of the trapezoidal ru idal Lru Owit

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Q: Method: LU Decomposition Method Solve equations 2x + 5y = 21, x + 2y = 8 using LU decomposition…

A: Given equations are 2x + 5y = 21 x + 2y = 8 Here A = 2512, X = xy , B = 218

Q: Construct and evaluate definite integrals representing the area of the region enclosed by y = 2x and…

A: We have evaluate the area of the region R, where the region R is bounded by the lines y=2x, x=6 and…

Q: So I need to keep the 4 and the cubed in the integral??

A: Yes, you have missed the "4" and the cube.

Q: y= 4x %3D 2 ft y 2r 1 ft-

A: Centroid for areas bounded by two curves is given by x¯=1area between the curves∫abxupper…

Q: Solve for the value of f(x) = e3*xª Using 11 term Taylor series if x = 0.05X

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Q: Discuss the logical basis for a direct proof and an indirect proof by citing specific logical…

A: To Discuss: The logical basis for a direct proof and an indirect proof by citing specific logical…

Q: 3. Let ī= {r„} be a sequence of real numbers. State the definition of the limitpoint set of T.

A: We have to give a definition of limit point set of a sequence xnn=1∞

Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

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Q: Question 5 Write down the quadratic form corresponding to the matrix. [1 2 -31 A = 0 3 lo o -2] 2

A: Given A = 12-303200-2

Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: We want to find possible ages of Rojana and AJ.

Q: 3. f Ct) 2 (3t-5) e 4t

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Q: Let f(x)=x5−6x2+7. Compute the value of the Taylor polynomial of order 7 centred at x0=1 of ?f(x)…

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Q: 1) To determine the distance across a river, a surveyor marked three points on one iverbank: H, G,…

A: To find the width of the river, we have to find the length of KH Given that KH⊥HGF and ∠KGH=41°,…

Q: 4) 11 yd. 3 yd Volume:

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Use transformations to sketch the function. Clearly show a minimum of 5 points and the horiz…

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Q: 4 10 -8-6 -4 -2 -2 10 -4 -8 -10 Find the slope of the line. Slope = m = %3D Enter your answer as an…

A: We want to find slope of given line

Q: 4. 4w + 2x + Зу %3D 5 2w + 3x + z = 2 3w + 5x + 2z = 3 4х + Зу + 6z%3D 1

A: 4 Given system of equations are 4w+2x+3y=52w+3x+z=23w+5x+2z=34x+3y+6z=1............1 Rewrite the…

Q: Find the state transition matrix of the following system: where A= [ 31 B= H c = [0 1] -4 -3.…

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Q: Question 8 Below is the formula. f(xv)(2L-ar) f(*L)-f(rv) XR = XU The value of computed xR computed…

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Q: Verify Green's theorem for F =, where C is the part of the parabola y = x², and the line y = 4 for…

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Q: 6 5- 4 y 3- 2- 1 3 4 5 2.

A: Given is a figure showing the region which is to be revolved about the y-axis and then we need to…

Q: Julie's quilt measures 72 inches by 80 inches. There are 9 squares across the width and 10 squares…

A: If the length and width of a quadrilateral are equal, then it is called a square.

Q: Let -3 1 0 -1 A = -3 -4 4 -3 -4 4 Find the dimension of the kernel and the dimension of the image of…

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Q: Which of the following is false? O A p-series is convergent ifp> 1. O None of them. 5 n The series…

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Q: 7. co sh?t CO 9.

A: The given problem is to find the Laplace transform of the given function f(t). Given function f (t)…

Q: Let -4 -4 4 A = |-4 -4 -4 4 -4 -4 Find an orthogonal matrix P and a diagonal matrix D such that D =…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: Here we use basic integral formula of shell method to find the volume.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Solve and draw l Sketch the graph of the pollowing equations: x² + ag? + z - &x t 124 22 + 35 :0 1.…

A: We know that a function in three variables x, y and z is written as z=fx, y or fx, y, z=0, where x,…

Q: Show that the column vectors (1,1.2,4), (2,-1,-5,2). (1,-1,-4,0and (2,1,1.6) vectors in R are…

A: We have to prove that the given Column vectors are linearly dependent in R4.

Q: 1. R:y = Vx, y = 4, y – axis axis of revolution: y = 4

A: Given curves are R:y=x, y=4, y−axis and axis of revolution y=4. We have to find the volume of the…

Q: Let f be Continuous on [a,b] and diffrentiable on (a, b), Prave that if azo, then there are Xi, Xz,…

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Q: Exercise II.44. Let B be the transformation Rjo T(1.2.0) . B((0,0,0))? Give the 4 x 4 matrix…

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Q: Solve the initial value problem below using the method of Laplace transforms. 3ty"-5ty' +5y = 15,…

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Q: (pAg)→ r is logically equivalent to

A: We have to find equivalent logic expression.