ine Integral done by F over the curve in = C: r(t) = ti + tj + tk, 0 st s 1

Q: If the statement is true, write a complete step-by-step proof of the state- ment. If the statement…

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Q: 3. (a) Verify that the function X(u, v) = ((u + v), (u − v), 4uv) satisfies the equation of a -…

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Q: Give an example where A, B ⊆ X and |A| = |B| but |X ― A| ≠ |X ― B|.

A: This cannot be possible if we take X to be finite set so we have to think an example where X is…

Q: 5. Solve the problem Urr +Urx=0, x, y = (0, π), u(0, y) = u(π, y) = 0, u(x, 0) = sin 5x2 sin 3x,…

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Q: Use Parseval's identity to compute 1 n=0 (2n + 1)²

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Q: 4x² - 5y = 34, (√6, −2) Tangent line is 6ху = −72, (−2,6) Tangent line is

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Q: 2. Use the (a) Euler and (b) Heun (without iteration) methods to solve d'y -t+y=0 dt2 where y(0)-2…

A: Given y''-t+y=0,y0=2,y'0=0. With 0≤t≤4 we need to solve the given DE using the step size h=0.1.…

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Q: Prove that's is primep, then (a + b)P = (a + b)(mod p), Va; b EZ

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Q: change order of integration to dydzdx 1 x+2 3-y [ ] [ f(x, y, z)dzdydæ -1 x²

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Q: Use a graphing calculator to find the first 10 terms of the sequence an its 9th term is its 10th…

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Q: Find the interval of decrease. Consider the function below. (If an answer does not exist, enter…

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Q: Solve the non-homogeneous differential equation 2x (3x − 1)y" — (3x + 2)y' — (6x − 8)y = (3x −…

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Q: Find the sum of the series: Σ n=0 - 1)"25¹–2 (2n + 1)!

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Q: Which of the following ARE NOT terms of the sequence defined by the formula a =n²+1, neN. n a = 17 5…

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Q: 2. (a) Let S= A 0 I B A, B & GL (R), B = B, A = (B n ¸ Check whether or not S SP2n(R). Also give an…

A: Here , I use latex to write the answer.

Q: A particle moves along line segments from the origin to the points (2, 0, 0), (2, 4, 1), (0, 4, 1),…

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Q: . Graph the following systems of linear inequalities. . 4x + 5y-20 ≤ 0 . x ≥ 0; y ≥ 0; x + y ≥ 1 -…

A: To graph an inequality, we first draw the line corresponding to it. If its greater then we take the…

Q: P5. Establish Ak and find its determinant for for b b for b = (1, 1). Solve A100 x = b X 32 4-[83] A…

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Q: Consider the initial value problem for function y given by, y" - 2 y 3y = 4t³ 8(t - 3), (a) Find the…

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Q: Evaluate the following integral by first converting to an integral in cylindrical coordinates √5…

A: Given, ∫05∫-5-x20∫x2+y2-119-3x2-3y2 (2x-3y) dz dy dx We have to convert an integral in cylindrical…

Q: Assume y=ex cos(3x) is one of the solutions of DE (3)-3y" + 7y-5y=0.Then a + B is:

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Q: The equation r(t) = (t + 2)i + (√2t) j+ (31²) k is the position of a particle in space at time t.…

A: The position vector is given by,         r(t) = (t+2) i + (√2t) j + (3t2) k   Hence, the velocity…

Q: Consider the linear transformation T:P (R) →P (R) defined by T (p(x)) = xp'(x). Which of the…

A: Here, v(x) = x2 + 2x       => v'(x) = 2x + 2. Then, T(v(x)) = xv'(x)                          =…

Q: Given: F(x, y,z) = (x, z, z ) and S is sphere x² + y² + z² = 16, positively oriented, evaluate the…

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Q: For a particular exotic animal, it is estimated that there are no more than 370 of these animals…

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Q: Find the equation of osculating sphere and osculating circle at the point (1, 2, 3) on the curve x =…

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Q: Prove Wilson's theorem that, for any prime p, (p — 1)!= -1 (mod p).

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Q: A point is moving along the circle   in the first quadrant such that its x-coordinate changes at the…

A: The given problem is to find how fast is the y co-ordinate changing as the point passes through the…

Q: Evaluate the following Laplace transforms by using the formulas listed in the table of Laplace…

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Q: Let T: P₁ → R² be defined by T (P) Let q(t) = 5t6t² +7t³. Find T(q). Find a basis for the kernel of…

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Q: end. 7) A Swimming pool is circular w/ a 10-ft diameter, the depth is consit along E/W lines and…

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Q: Given, f(x)=x2-4x, [−4,8]. Find R3,L3,and M3 and give accompanying accurate sketches

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Q: Let A = a b c d and let k be a scalar. Find a formula that relates det(kA) to k and det(A). Find…

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Q: For the sinusoidal function graphed to the right, find one sine and one cosine equation: -2 -3m/2…

A: Consider the equation of the function Asin(B+Cx)+D Now find the value of A,B,C,D to find the result.

Q: Give the general solution of (3D5-13D4 +34D³-46D² +27D-5)y=0

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Q: 5) Find the divergence of (√x² + + z 5) kî + yj vj + zk)

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Q: Find the volume of the solid that is below z = 6-x, above inside the cylinder x² + y² = 3 -√4x²+4y²…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: The given problem is to evaluate the given flux of  surface integral of vector field over the…

Q: 79-85. Limits of sums Use the definition of the definite integral to evaluate the following definite…

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

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Q: Bobby likes to hike the trails near his house. On Saturday, he spent 4 hours hiking 8 miles. On…

A: We want to find  number of hours spend by Bobby to hiking the trails on Sunday.

Q: A group of students wish to charter a bus which holds at most 45 people to go to an educational…

A: As this question has multiple subparts, hence only first three parts will be solved. Let x≤40 people…

Q: f(x, y) = 6 -√√3x² + 1y² Local maxima are Local minima are Saddle points are m m

A: The given problem is to find the local maxima, local minima and saddle points for the given function…

Q: Given the area in the first quadrant bounded by y² = 4x and x = 4. Find the first moment with…

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Q: Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A: The given problem is to find the orthogonal basis for the column space of the given matrix.

Q: 1 15 12 3 -12 -15 (a) Find the expansion factor, X₁, that keeps the direction of the vectors in one…

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Q: Determine the x and y-coordinates of the centroid of the area bounded by y = 3 cos , and the x-axis,…

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Q: Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown. -…

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Q: Pls solve this question correctly in 5 min i will give u instant like Consider the graph . There is…

A: A connected simple graph is Eulerian if and only if all vertices are even degree. Also, if there is…