In the find and prove of lim”→0 (x³), how and what should be defined in terms of ? A. 8 = min {1, §} B. 8 = ³ C. 8 min {1, 2} = D. 8 = E E. NO correct choices οι οιοιο ο E A B D

Q: Evaluate the definite integral. 2 cot-¹(x) 1+x² 1 - 1 -dx

A: To evaluate the integral.

Q: y = f(x)

A: We can answer all the three questions as below.

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A: See this solution in below.

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Q: Question 4 > 18/17-16-15-14-13-12-11 -18-9-8 -6 -5 -4 1-3 -2 -/ f(x) = 5 4 3 2 ma -2 in your The…

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Q: X √I + X dx

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Q: A) Verify that y = C₁е¯x + c₂e5x is a solution of the DE: y" - 4y' - 5y = 0. B) Find a solution of…

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Q: Solve the given dif fential by variations of parameters 2.y" + 2y + y = e Int

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Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False 6 edx

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Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

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Q: 8. 2dx 3 3x

A: Given

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Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

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Q: A number is 8 more than another number. Twice the sum of the two numbers is 40. F numbers.

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Q: is equal to [²2x Select one: Of 2xdx +²2xdx none of the others O O ○ 4 ¹2xdx + ₁ + 2xdx 3 ¹2xdx…

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Q: -y 3) Evaluate the integral ſ² ſ²¯ ² dxdzdy ?

A: Just solved the iterated integral according to the given order and get the required solution.

Q: 3. f- 8xdx

A: Solve the integration

Q: A. Using convolution to find L-¹ [(5+2)(5+4)]. B. Test the divergence of the following series 00 n

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Consider the double integral f(x,y)=(x²+y2)3/2 over the region R where y is bounded between 0 and…

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Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

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Q: Ted's Machine Shop purchased a computer to use in tuning engines. To finance the purchase, the…

A: topic - compound interest

Q: Solve the triangle, if possible. a = 26.38 km, b= 21.64 km, c = 18.31 km Select the correct choice…

A: Given problem:- Solve the triangle, if possible.   a = 26.38km , b = 21.64km , c = 18.31km

Q: Three men A, B, and C can do a piece of work in hours working together. Working alone. A can do the…

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Q: Evaluate the following integral. Sx12xdx x12*dx = (Type an exact answer. Use parentheses to clearly…

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Q: 42. y=+on [1/2,2] 6

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Q: Evaluate tan(2x + 5)dx 0.0190 0.9899 0.0976 -0.0190 0.0967 0.00190 0.0109 0.9998 -0.0976 -0.8999…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Let's find area between given cardioid and circle.

Q: Q2 a) Find a solution to the IVP: y" - 5y' + 4y = 0, y(0) = 6 and y' (0) = 2. b) Classify each…

A: First we shall find auxilary equation and its root then find the solutions

Q: So dx VL-4X2

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A: We have to find probability of given question.

Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution

Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 a). Write parametric and symmetric…

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Q: 1. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

A: We want to select the correct option.

Q: Given the equation -Sa+30-5g²-10y52²-90=210 Show that the given equation represents a sphere, and…

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Q: The inverse of a matrix A is denoted by A-1 such that the following relationship is A A-¹ = A-¹A = I…

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Q: Use the matrices below to perform the indicated operation if possible. B If the operation is…

A: To find out 2C+B

Q: For any two nonparallel vectors a and b, it holds that Select one: |3a + b > 3|a| + |b| 13a + b <…

A: Use vector triangle inequality

Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x&lt;0 Vertical dilation of scale factor 3 f(x) = -3x and x&lt;0

Q: The equations of three lines are given below. Line 1: 6x+4y=-8 Line 2: y = x-3 Line 3: 3y = 2x+4 For…

A: The given lines are:Line 1: 6x+4y=-8Line 2: y=23x-3Line 3: 3y=2x+4

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 So dx 6 x+8 Write your answer…

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Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (x=√y) & the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot…

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Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y Z…

A: The plane passes by P2,0,-1 and that is perpendicular to the line x-5-2=2-y4=z-23