The exact value of sec 2√3 3 0-2 2√√3 3 c (55) ₁ is 6 02

Q: A cylindrical can is to be made to hold 1000cm^3 of oil. How do you find the dimensions that will…

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Q: 6dx S: ³√x² x-

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Q: x² Evaluate using Partial Fraction Decomposition: f(x+1)²(x-1) dx

A: To evaluate the given integral by using Partial Fraction Decomposition. ∫x2x+12x-1 dx

Q: x(t) Find the point at which the line y(t) z(t) = 6+t -8 5t intersects the plane. 7 + 2t

A: SOLUTION-

Q: 5. Let f be a function continuous on R and F(x) = af f(t)dt. Then F"(0) is equal to 0 0 O f(0) ○…

A: Let f be a function continuous on R and Fx=x∫0xft dt. Then to determine the expression for F''0.

Q: 5.) Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate…

A: Above question is solved.

Q: ππ 2 CAP• 0 0 0 ¢ sinr do dr dộ

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Q: dx x² + 8x + 7 2

A: We know, ∫dxx-a=lnx-a

Q: 4. A 25-ft long ladder is leaning against a vertical wall. The foot of the ladder is on a horizontal…

A: To solve the following problem.

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

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Q: Find the Volume: Rotate the region bounded by y = 7 - x², x=-2 and x = 2 and the x-axis about the…

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Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2eycosy + = C 2. 3…

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Q: Show that the differential equation x²y³ + x(1+y²)y' = 0 is not exact, but becomes exact when…

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Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: A movie poster is to contain 0.48 square meters of colored print. The margins on each side are 2.54…

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Q: 2) for evdxdy

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Q: ax x(x² - 1)

A: The given integral,       ∫dxxx2-1

Q: (x²+2) dx x+2

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Q: 6dx x - √ S 3√x²

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Q: 3. Find the area of the region bounded above by y=e*, bounded below by y = x, and bounded on the…

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Q: Solve the integral shown below. JT fsins 2x cos7 2xdx

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Q: The sum of two integers is 12. If the sum of 4 times the square of the smaller integer and 8 times…

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Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

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Q: Solve the following LONG DIVISION 6x³5x249x equation by using + 60 = 0

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Q: A rectangular field is to be fenced off along a river where no fence is needed on the side along the…

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

A: The function satisfies the condition,The domain of fx is -∞,∞f'x=5x2x2-3f''x=10x2x2-3f0=0

Q: My - Nx If = =Q, where Q is a function of x only, then the differential N equation M + Ny' = 0 has…

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Q: True or False? 13. Let R be a relation on a set A. Then R is transitive if and only if R ◦ R ⊆ R.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: Determine the area of the region bounded by the curves y = ₁, y = 2x and x = 4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: The points R(0, 2, 4), S(1, 3, 2) and T(−1, 2, 6) form a triangle. a) What is the area of triangle…

A: Given

Q: 2.) ff exdxdy

A: We will solve the problem.

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny Live Love ex+y dxdy 0

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Q: Find the arclength of the curve y = (x² − 4)² on [2,4].

A: Given question is asking to find the length of the curve.

Q: Q3) Determine the maximum point of the function f(x) = x(5-x) with Fibonacci search method, if the…

A: Here, we have fx=x5π-x. The number of experiments to be performed are n=4 and the first uncertainty…

Q: Find curl F if F(x,y,z) = 7exy i-8 cosy j +5 sin²z k. curl F = -7xexy k curl F = -7xexy i curl F =…

A: In this question, we want to find the curl of given vector function.

Q: 2.)fedxdy

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Q: Express the repeating decimal as a fraction. 0.789626262626... 0.789626262626... =

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Q: 3. Find the intersection of the following planes: ( x - 3y - 2z =- 9 == 2x - 5y + z = 3 3x + 6y + 2z…

A: We have to find the intersection of 3 planes.

Q: d. What are the intervals of concavity? e. What are the x and y-intercepts? f. Are there any…

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Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

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Q: product

A: We will solve the problem.

Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

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Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: Evaluate: lim-10 2x²+x 0 % O None of the choices 02 00 01

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Q: g(x) = (1 Use the power series expansion of f(x): = 1 x)² 1 for x< 1 to find a power series…

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Q: 15. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: 4dx 3 x - √√x² S

A: We will use simple Integration rules to solve this question.

Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: We can solve the given problem by using the variable separable method.

Q: Solve for y esec(4y²-6y+14) = 3x + 1

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Q: Q4- Solve the following differential equation: (1+x²)dy + (y - tan-¹(x)) dx |dx = 0

A: To solve the following differential equation: 1+x2dy+y-tan-1xdx=0