1 -1 0 2 -1 1 Find the Eigen-values and eigenvectors of matrix A: * -1 0 −1

Q: 4. [ε (8x − 3) (4x² – 3x) * dx

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Q: 1. Sv 2x - x² dx

A: ∫ un du = un+1n+1+C ∫ cos(ax) dx =sin(ax)a+C

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer…

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Q: 5a) 1 x[In (2x)]3 S.₁- -dx 5b) X ² (x² - 4)" S₁²7 3/2 dx

A: As per guidelines, I can answer only one question. Since both the question are not interrelated. So…

Q: (3x²-3x-4) 2x²-3

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Q: Solve for the homogeneous linear equation given below 1. xydy- (x + 2y)² dy = 0 O-In ()-4lny = C…

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Q: Which of the following statements is CORRECT? O x³ + x - 1 = 0 has no solution in [0, 2] x³ + x − 1…

A: As nothing was mentioned about the method, we will solve it by the graphical method. Graph of…

Q: Find the distance between the points. (Round your answer to two decimal places.) (9.1, −2.6),…

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Q: 3. How is the continuity of the following function at x=0? There exist Left continuity Right…

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Q: 1. y=(sin ¹x² + X 1+tan x

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Q: Solve the following matrix equation for a, b, c, and d. b b + c 2 [ad - [10²] = 3d + c 2a - 4d 11 6…

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Q: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: = 0? 5. Which of the following is a normal vector to the plane Z = a. C. n = (1,1,0) 72 = = (0,1,0)…

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Q: dy 2.L/+R/+y=0 dx2 dx

A: Homogeneous Differential equation with constant coefficients.

Q: Find (3x + 4y)dA where R is the parallelogram with vertices (0,0), (-1,4), (-4,-2), and (-5,2). R…

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Q: Find the area of the shaded region. f(x) = 10x - 3x²-x³, g(x) = 0 The area is (Type an integer or a…

A: This question can be solved using the concept of  area bounded by two curves.

Q: .. Solve the following differential equation using the indicated method. (a) y"+y' - 2y = x² + 2 sin…

A: Solution is here

Q: 10. Evaluate cos x sin² x dx

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Q: solve the following equation using Laplace transformation y' + y = sin(t) y(0) = 1

A: Given :y'+y=sin(t)y(0)=1

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

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Q: б бу-гу2 -14-292 y dx dy

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Q: For each of the following functions, do t a. Determine if f is continuous at a. Determine if f is…

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Q: 5. A ball of mass 2 kg is dropped from rest in a viscous fluid, the resistance of which is 0.001v N…

A: By solving differential equation

Q: 4 T sin ³ (73) cas ³ (7) dx

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Q: Consider the following graph. y 5A 3 y = 5 (arcsin (x)) 2 A H 2 -1 1 2 2 3 3 2 Given the function y…

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Q: et dx 2 S² teed x 3

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Q: A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: 8+2x-x² x-4 8 x=4 than f(x) is continuous at x = 4. book Ask my instructor I T - |0| √i 5 Vi 1, 3…

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Q: (b) n 1+ (x-1)"; r=1/e Σ(1-1) η n=1

A: Here, the given series is: ∑n=1∞1+1nn2(x-1)n Let, an=1+1nn2(x-1)n; n≥1

Q: 3 S² 2 (3x+1) dx x-1

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Q: Evaluate € fff.₂²². e² dV where E is enclosed by the paraboloid z = 3 + z² + y², the cylinder z² +…

A: We need to find integral.

Q: dy y (1-√y)² 2

A: Given :∫dyy1-y2

Q: x3 16 + x² dx, x = 4 tan(0)

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A: Given: graphs y=x^3 and y=2x^2

Q: Calculate the derivative. ƒ"(1), f(t) = 15t t+1

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Q: Find the derivative dy dx dx of the function y = sec (1 + 4 + sin ¹(4 + ²)

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Q: Ал So for sins (co COS 8 5 ¹ (1) d. dx

A: We can solve the question as below.

Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: The function f(x) = = √x 2+√√4x is. increasing on its natural domain increasing on (2, 3) and…

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Q: Which of the following statements is CORRECT? x³ + x 1 = 0 has no solution in [0, 2] Ox³ + x-1=0 has…

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Q: What is the value of f(1)?

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Q: 8. · √(x) √₁² 1 9. J 5x + 1 dx 10. S 3x +9 (x) √√x² - 1 dx dx

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Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

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Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN ? dx

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Q: The figure below shows J(a) and its local linearization at a = What is the value of a? a = 2 What is…

A: linearization

Q: Find the x-value of all points where the function below has any relative extrema. Find the value(s)…

A: Solution is here

Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: Evaluate x² + y² 1 x² + y² + 16 in the first octant. JJJ₂₂ dV, where E lies between the spheres x² +…

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