lowing Vectors Linearly Dependent 1,438) ₂ (3₁-330) Ans. Dependent

Q: n (2) Find the derivative of the function f(x)= e at 2= 2 by using numerical affronsmation for the…

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Q: Find the number(s) b such that the average value of f(x) = 6x² on the interval [0, b] is equal to…

A: Given :

Q: What is the surface area of the solid generated by revolving about the y-axis, y = 1= x² on the…

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

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Q: Show that the function f(x)= √(x) = { -1 when xw0 when x=0 is discontinuous at x = 0.

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Q: By using Laplace transform to solve y" + y = e with y (0) y (0) = y" (0) = 0, what would be Laplace…

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Q: 7. Find the exact x-value where the function f(x) = x + ln (x² − 1) attains a maximum value. An…

A: We are given f(x)=x+ln(x2-1) to find the exact ex value where the function attains a maximum value…

Q: Find H(s) = 19 s+2 1 3S-5 + 7 s5

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k² in the…

A: given equation  xy'=ylnx-lny with initial conditions y1=4 using Runge Kutta method with h=0.1 , the…

Q: need the answer qu

A: Introduction: The volume of the right circular cone of radius r and height h is given by, V=πr2h3

Q: Let B be the sphere x² + y² + z² = 1. The volume of the portion of B contained in the first octant…

A: The volume of a solid in spherical coordinates can be calculated by using the following formula.…

Q: Solve the differential equation using 3rd order RK method dy/dx = yx3 – 1.5y, y(0) = 1 find y when…

A: The solution of given differential equation using third order rk method.

Q: The following data gives an approximation to the integral M= f(x) dx N₁ (h) = 2.2341, N₁ () =…

A: Solution:-

Q: Use a triple integral to determine the volume V of the region below z = 6 - x, above z = -2√√x² + y²…

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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: 10. Find all analytic functions such that its real part u = u(x, y) satisfies the differential…

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Q: Consider the following system, y" = f(x), y(0) + y (0) = 0; y(1) = 0, and a. Find it's Green's…

A: Given :y'' = f(x),y(0)+y'(0) =0,y(1) =0.First we will solve y'' = 0.y(x) = Ax+By(1) = 0 ⇒ A+B = 0…

Q: pls solve this ques with both subparts needed urgently will give you many upvotes

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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: Q) Consider the system X = X -T 3 a) Find a fundamental matrix for this system b) Find the solution…

A: Fundamental matrix is is the matrix which have independent solution vectors of system of ode as it's…

Q: 3. Consider the vector field F(x, y) = (2xy, x² — sin y). Evaluate [F. F.ds C = where C is the curve…

A: Solution

Q: Find the volume of the tetrahedr my+nz = C nz+lx=0 Ix+my=0) x+my+na

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Q: Evaluate the inverse Laplace transforms of the following: 1 4 이름 + S s+9 -5 20 1 -+ + st3 5s-3 ㄷ 7…

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Q: 12 Two towers AB and PQ stand on level ground. The angles of elevation of the top of the taller…

A: Given that  ∠KAP=5o ∠QBP=20o Height of the taller tower = 70 meters

Q: Consider the differential equation x³y(³) - 6xy' +12y = 0. (a) Find distinct values of r, say r₁,…

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Q: The advertising company creates histograms, shown in Figure 1, for the podcasts data, but forgets to…

A: 1) This is a Discrete Data because Number of Audiences is some particular Number which will take…

Q: 1) solve b finite diffrence method Ду4-ху! -2хубов убежнуснен

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Q: Let R be the set of real numbers equipped with the standard topology. Let A and B be two subsets of…

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Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Given, the surfaces:               x+y2+2z=4,   x=1  Point: (1, 1, 1) Let         z = 1-2t

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: When using Euclid's algorithm to find the GCD of 820 and 730, what are the first three remainders…

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Q: Determine whether the series converges or diverges. If the series is convergent, use the Alternating…

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Q: Explain how to solve a trigonometric equation graphically.

A: To solve trigonometric equation graphically, Step 1: Plot the corresponding curve for the values 0,…

Q: etch the graph of y = x² + √x + 1 and determine its concavity, extrema, and points of inflection.

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Q: tring. The kite is 120 ft. above the gr what rate must she let out the string

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Assume that you are dealing with three squares and a right triangle, what is the area of the…

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Q: Thinking only about the most natural series to compare, which of the following series diverge(s)…

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Q: Setting x= cos or cosho show that Tn(x)==[(x + √X²_₁ )² + (x-√x ²₁ ²]

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k3 in the…

A: given curves xy'=ylnx-lny⇒y'=yxlnx-lny with initial condition y1=4 using Runge Kutta method with…

Q: Wi- Find the where (221) م 270 ل 24 4 2 0 :C للنووزه value of - COSTI Z dz

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k4 needed in the…

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Q: t> 0. Express the final answer in terms of the error nction wherever it may apply to. 7Uxx x > 0 Utt…

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Q: 11 In this question, take the number n of stages of a binomial variable X~ B(n, p) to be fixed, and…

A: Solution : For solution of d, e we take  direct results of binomial distribution. for…

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k3 in the…

A: We can solve this using given information and runge kutta method

Q: Suppose the average costs of a mining operation depend on the number of machines used, and average…

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

A: We have to find the relative error by y0.2 using the Range-Kutta method.

Q: A sequence {ann21 contained in the interval [0, 1] is uniformly distributede if and only if lim -- […

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Q: aw Given w=xysin(z2), x-s-t, y=s², z t². Find əz aw 2xyzcos z² Əz = Əw əz = 2yzcos z²

A: Given :  w = xysin(z2) , x = s-t ,  y = s2 , z = t2 To find :  ∂w∂z