Let L be the line given by the span of complement L of L. A basis for Lis 2 H -7 -7 in R³. Find a basis for the orthogonal 7

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h-0.1, approximate y '(1.3).…

A: option c is correct i.e. (c) -1.92711

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, compute…

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Q: Find the Fourier Series of the given periodic function. 4, f(t) = {_1 -π≤t≤0 0 < t < π

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Q: Question 5 Using Euler's Method estimate y(0.3) with step size h-0.1 given -t+2y, y(0)=1 Show ALL…

A: if we have differential equation dydt=f(t, y),  t0=a and y0=y(a)=b also step size h  then…

Q: Prove that for every integer n ≥ 0, 2 2 2 n n n 2n ()*² + ()*² ++ ()² = (2²). n n

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Q: 1. A solid has a circular base of radius r. Find the volume of the solid if every plane section…

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Q: 4. Evaluate √3x²e¹² da + 2x¹yev dy where the open curve C is the semicircle x² + y² = 5, y ≥ 0 going…

A: 4. The given integral is ∫C 3x2ey2dx +2x3yey2dy where C is the semicircle x2+y2=5, y≥0 To find: the…

Q: II. Fill in the missing entry in each row: Equation of line m X=0 Y=X 2.) X = 2 Point P (x,y) (-2,3)…

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Q: Question 1 Let Qe R\Q be the set of irrational numbers in R. Consider A = Qºn (√2, √3) as a subset…

A: This question from topic boundness of set from set theory.

Q: ANSWER IN A CLEAN SHEET OF BOND PAPER (HANDWRITTEN). SHOW COMPLETE AND CORRECT SOLUTIONS IN…

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Q: etermine the values of a for which the following system of linear equations has no solutions, a…

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Q: Find the value of∞ If the approximation of the integral f f(x) dx by trapezoidal method is given by,…

A: We have to use the trapezoidal formula to approximation of integral  ∫01f(x)dxThe approximate value…

Q: Find the Inverse Laplace Transform of 1 s²-8s+25

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 a single point;

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Q: 2. Consider the function 2r²-9r-18 f(x) r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of…

A: Given: f(x)=2x2-9x-18x2-x-2 To find: (a) Sketch the graph of function. (b) The area of the region…

Q: Show f(x) = e and g(x) = xe linearly independent by finding its Wronskian.

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Q: 5. Given the function f(x) = 1 + ex sin(4x) with integration limits from a = 0 to b = 1. Use…

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Q: Question 3.1. Let's think of the set of n-by-n matrices as R² by using the matrix entries as…

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Q: -1 -1 6s-5 4s²+7] 3s-2 s²+8s+25]

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Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: if G-H-F such that and H-F <R-k So...... R-k =G-H

A: Draw a diagram representing this scenario. Use the diagram to deduce a conclusion.

Q: 6. Let F(X) = x²³² +6₂x²2²-15x-10 a) Find the intervals of increase / decrease of the function b)…

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Q: Find of the ay+2²7 the revolving Curve x = 2 0≤y in 2 about the y-axis is The area, S, of the…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k₂ needed in the…

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Q: Consider y' - 2y = 3e2x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k₂ needed in the…

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Q: OB + - - . — (x − ¹)² 2 (x − 1)³ + −6 (x − 1)4 24 (x − 1)³ + - ¸ + + + 3! 5! 720 (x − 1)² + 1) -5040…

A: Given :  The given expression is ;   00!+x-11!+ -x-122!+2x-133!+-6x-144!+24x-155!+ -120x-166!+... To…

Q: If the angle at which the radius vector cuts the 2 √₁²- 1 a -1 a curve 0 = = - COS 1 be , ther a r…

A: As the radius vector cuts the curve at a angle of ϕ, so this angle is between the radius vector and…

Q: x Suppose the slope of the tangent line at any point on a curve is If the x²+4y² curve passes thru…

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Q: 7. Determine which of the following functions are differentiable at all the z-plane or some region…

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Q: When approximating f(x) dx using Romberg integration, R4,4 gives an approximation of order:

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Q: The demand function for a commodity is given by D(z) = 2000 – 0.1z – 1.01z² Find the consumer…

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Q: Let a be an arbitrary positive irrational number. Show that the unit circle |z| = 1 is the natural…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with -0.1, find the relative error…

A: We can solve this using runge kutta method and relative error

Q: Explain how to solve a trigonometric equation graphically. Paragraph V BI U A V Lato (Recomm... V…

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Q: Determine the value/s of D if the graph of the equation x² + 4y² +Dx - 4y +2=0 a. is an ellipse; b.…

A: Given :  The given equation is ;  x2+4y2+Dx-4y+2 = 0 To find :  The values of D so that the graph of…

Q: تام Salve b finite diffrence methed 1 لكل سليم + 3 مع لوله

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Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 a. is an ellipse;…

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Q: Show that Hint: Use to obtain In[|x|] √√2/T. 1 - cos(sx) x² 8 1 - cos" x x² lim n-√√n 00 2 π dx |s|…

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: y""+y" = 3x² + sin x − 2 cos x -

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Q: One professional basketball player typically attempts eight free throws per game. Let X represent…

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Q: O xy' + 4(x-2)y" − 2 (x + 2) (x² − 1) y = 0 - -

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Q: (am,n)m,neN is a sequence with am,n 20. The sequence is for a fixed m in n monotonous increasing and…

A: Given: am,nm,n∈ℕ am,n≥0 for all m,n∈ℕ am,n is monotonous increasing for fixed m and for fixed n.…

Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

A: We can solve this using given information and relative error

Q: Q 38 Calculate the area of cross section using numerical techniques for a river 200 m wide. if the…

A: calculate the area of cross section using numerical technique for a river 200m wide. if the depth d…

Q: 2. At what point is f(x)=x²-25 A. -5 B. 5 continuous? C. 2 D. -2

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Q: Q1/ From the following table of values, find the approximate value of f' (1.5) ? 1.2 1.7 1.5 0.4055…

A: To Find: The approximated value of f'(1.5), Using the given table of values.

Q: w solve finite diffrence method y + xy = 2xy [0,1] Y(0)=1 y (1)=1

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k₁ in the…

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Q: Show your complete solutions: 1. Using cramer's rule: 2 x1-3 x2 +1.4 x3= -5.2, 1.3 x1 + x2+2.4 x3=…

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