- Evaluate the limit lim and justify your answer. S ng"-3 sin - dr 1 + xn n

Q: Solve the linear programming problem. Maximize P= 15x+85y Subject to x5y s 10 xyzo What is the…

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Q: (a) What is the maximum dimension of the Column Space of B? (b) What is the maximum dimension of the…

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Q: Suppose the vector field v(x, y, z) = (2x − 1) i+ (−x − 3)j + (2z − 1) k represents the velocity…

A: The given problem is to find the circulation of the given vector field over the region C is the…

Q: Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of…

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Q: At the turn of the century, fourteen thousand, seven items were on the proscribed list. Thirty years…

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Q: 3. Find bases for the nullspace and row space of A. 6 4 -1 -2 5 7 A = 1 3 -1 2 4 5 1 -2 0 3 9 -1 -1…

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Q: use the following theorem to find £ ( 2 (1= (ost) Theorem: If £(f(t)) = F (s), then £ ( f(+)) = (*…

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Q: all appl Evaluate the upper and lower sums for angles are assumed to have the same width. f(x) = 1 +…

A: We can solve this by using Riemann sum. As given information we are just solving for n = 6

Q: Use the simplex method to maximize the following: Maximize f 3x1 + 9x2 subject to 4x1 + x₂ < 5 2x1 +…

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Q: Find an integrating factor. μ(y) = y + (8xy - e-8y)y' = 0 е Solve the given equation. 123 GO…

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Q: 1. find u (x, t) for 0 0 which solves Ut - Uxx = 0, u (x,0) = 1, ux (1, t) = t, ux (0, t) = 0.

A: Partial differentiation is defined as a function that differentiates with respect to more than one…

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

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Q: In a town with a population of 20000, the rate of growth of a flu epidemic is jointly proportional…

A: We will form a differential equation for number of people infected and then solve it using given…

Q: 3. Find Taylor's series for f(x) centered at the given point a, as well as the associated radius of…

A: a fx=2cos2x, a=π2bfx=e-3x, a=1

Q: Suppose that f:[0,2]→R is differentiable, f(0) = 0, f(1) = 2, and f(2) = 2. Draw a sketch and cite…

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Q: 6. Show that the series n=1 2nn! (2n)! converges. What can you conclude

A: WE USE D'ALMBERT RATIO TEST FOR CONVERGENCE FOR CONVERGENCE AND DIVERGENCE OF SERIES, IT STATES THAT…

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

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Q: 2x4-3y4 lim (x,y) (0,0) x4 +y4 b) x³y³-1 lim (x,y)-(1,1) xy-1

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Q: Domain:[-3,0) U (0, 1) U {3U (, ∞0) Range: [-6, -3) U (-3,-2) U{-1U (1, ∞)

A: simplify what it means after the third U in both answers . like write it in another way...

Q: Be V a vector space over IR, {e, S < V, dim S < dim V (m < n). em} and show Σ(ve)e, =Σ(ve)e wer j=1…

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Q: Domain :[-3,0) U (0, 1) U {3U (, ∞0) Range: [−6, −3) U (−3,−2) U {-1U (1, ∞)

A: The interval notation given by a,b can be written in set-builder form as x|a&lt;x&lt;b. The interval…

Q: y" + 4y = 5 csc 2x

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Q: Give bases for row(A), col(A), and null(A). 1 1 -2 0 2 1 1 -1 -3 row(A) col (A) null(A) A = ↓1 000…

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Q: Show that the given equation is not exact but becomes exact when multiplied by the given integrating…

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Q: manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn…

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Q: Show that the plane and line with the given equations intersect, and then find the acute angle of…

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Q: 10 -5 0 -5 6. Let f(t) be the periodic function graphed below. Determine L{f(t)}. 5 10 15

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Q: Find the area of the region bounded by the curves y=√x + y = ½ x the endpoints are: the area is:

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Q: 5. Define f(x) = √x+1 ifz Use the the e-6 criterion for continuity at a point to show that f: R → R…

A: It is given that fx=x+1if x≤342if x&gt;34. The objective is to show that fx is discontinuous at…

Q: Sketch the graph of the function and check the graph with a graphing calculator. Before doing so,…

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Q: = would converge. n=1 9" (x-6) n+6

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Q: Here

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Q: Differentiate the function y = -5eº + 7log1 O a. y' = 0 O b. y = 7log1 -5e⁰ O c. y = -5e + 7

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Q: Suppose the vector field v(x, y, z) = (3z+2) i+(4x+1) j+(3z+1) k represents the velocity field of a…

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Q: Determine convergence or divergence of the series using ratio or root test. Clearly identify the…

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Q: Estimate the area under the graph of f(x) rectangles and right endpoints. R₂ = Ln 1 over the…

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Q: Sketch the region over which the integration with the order of integration reversed. Evaluate both…

A: Order of change of integrals

Q: (b) Prove that if a, b E I are distinct, then there exists a c strictly between a and b such that…

A: Given a,b∈I are distinct. Without loss of generality, suppose a&lt;b. Let f be a function on I such…

Q: 8. Consider the matrix A = [3 21 15 0 (a) Find the characteristic polynomial for A. (b) Find the…

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Q: Consider the linear system A₁ = i ÿ' [ a. Find the eigenvalues and eigenvectors for the coefficient…

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Q: Find the final amount of money in an account if $3,900$3,900 is deposited at 7%7% interest…

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Q: Prove the following: If f: A → B is a bijection, then f¯¹: B → A is also a bijection.

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Q: Find the line integral along the given path C. So x-y)dx, where C: x=t, y = 3t+ 5, for 0 ≤t≤3 C…

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Q: Identify the inflection points and local maxima and minima of the function graphed to the right.…

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Q: Find the equation for the parabola that has its focus at the (−7/4,−9) and has directrix at x=15/4

A: Here we have to find equation of parabola with given focus and directrix.

Q: b. find the rector along which I decreases most rapidly at the point (1,0)

A: Given that f(x,y)=e2yx-x3y+4 . I have solved both parts.

Q: use integration by parts to evaluate the integral 2xcos (3x) dx

A: The given problem is to evaluate the given integral of 2xcos(3x) by using integration by parts.

Q: The Lucas numbers L(n) have almost the same definition as the Fibonacci numbers: {-1) 3 Let a = L(n)…

A: Given the Lucas numbers L(n) have almost the same  definition as Fibonacci numbers:…

Q: For the function f(x) = In x 3x " find f''(x). Then find f''(0) and f''(2).

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Q: pairwise co-prime and m mmm Then f(x) = 0 (m) has a solution if each of the congruences f(x) = 0…

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