When applying substitution (u=tan(x)) to [s sec¹(x) tan(x) dx is equivalent O a) [ (u³ + u) du O b) [ f (u³ – u) du 1 (205 (u³ + u) du O c) Od) / (u²-u) du

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

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Q: 5. Determine the area below f(x) = 10 - 2x² and above the line y = 3. 6. Determine the area bounded…

A: Given problem:- Determine the area below f(x) = 10 - 2x2 and above the line y = 3

Q: 1 If f(x) = 8 tan¯¹(8 sin(2x)), f'(x) =

A: Differentiate

Q: 2. Line I has the equation y = 3x - 4. Line m has the equation y = 3x + 2. a. Graph each line on the…

A: Given line equation is in form of :               y=mx+c              where m= slope of line…

Q: If w = cos(xyz), compute for O-x²yz cos(xyz) - x sin(xyz) -x²yz cos(xyz) + x sin(xyz) O x²yz…

A: This question can be solved using the concept of partial derivatives.

Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11.

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Q: Which of the following gives the area of the region bounded below by y = sin(x), above by y =…

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Q: Use synthetic division to find the quotient and the remainder. (3x³+2x²-3x-15) + (x+2)

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Q: Determine the local maximum and local minimum if exist. b. Find the inflection point if exist.

A: Solve the following

Q: -7-6-5-4-3-2- 6 5 4 3 -2 -5. -6. H 1 2 3 4 5 6 7

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Q: a) Using the methods of (a) Gauss elimination and (b) Gauss-Jordan, solve the following system of…

A: Since you have asked multiple questions,as per our guidelines we are supposed to answer only one…

Q: At what point is the tangent line to the curve y³ : = 6x² perpendicular to the line 2x + y = 2 = 0?…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: To find the absolute extema first I have find the derivative of f(x) , set them equal to zero and…

Q: Use the root test to determine whether the series converges or diverges. If the test is…

A: In this question, we need to determine whether the given series converges or diverges.

Q: Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and…

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Q: Consider the function f (x) = x-3 x+3 (a) Find the domain of f(x). Note: Use the letter U for union.…

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Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

A: This question is related to differentiation, We will solve it using given using given information.

Q: 2x2+3x-2 26x2-x-1 lim x→ 3

A:

Q: Consider the function f(x) = (3x² − 4)(x² + 6). (a) Compute the derivative of f(x) by multiplying…

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Q: Use implicit differentiation to find d²y = dx² d²y dx² if 8y+sin y = x.

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Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: The result of A-(B x C)+ Ax (B.C) may be: × O 21+3j O D 21+2j-k O

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Q: xe5x dx (5x-1) i 51 e³z B.5 (5x-1)+c C. 5x+ E

A: We will solve the problem.

Q: tan(2x) x+02sin²(x) Evaluate: lim O a. ∞ O b. -∞ O c.0 O d.-1

A: We have to evaluate limx→0- tan2x2sin2x         Here two sided limit does not exist.…

Q: (1 + 1 1 + In(x) + - X (x+y)ln(x) - 5y = c dx = (5-In(x)) dy

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Q: A) e-2 Β) e2 Σε e=2n =? 71=0 C) CADEMI Ε)

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Q: Q4/ 1- Evaluate: f/2fy sinx dy dx ди 2- If u = x² + ey² ,x= sin 2t , y = cost² find at

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Q: In September (30 days), the temperature in a particular city reached 100°F on 22 days. Also,…

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Q: What is the largest circular area that can be enclosed by 100 ft of fencing. (Non-anonymous question…

A: This question is related to Circle, we will solve it using given information.

Q: Find the volume generated by revolving the given plane area about the given line using disc method.…

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Q: x-2 3. lim x-2x²-4

A: Here we have to find the limit of the function.

Q: Determine the global minima and maxima of the function: ƒ (x, y, z) = x + y² + = (x + 1)² on the…

A: We can use Lagrangian multipliers: Here, the function to be optimized is fx, y, z=x+y2+12z+12. The…

Q: If x is measured in degrees and f(x) = cosx, then d f(x) = − sinx

A: To write that it is true or not.

Q: A ball with mass m kg is thrown upward with initial velocity 20 m/s from the roof of a building 10 m…

A: topic- quadratic equations

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: Find the intervals where the function f(x) = 2cosx + 1/ sin2x, 0≤x≤ 2π is concave up.

A: Let's solve.

Q: Which of the following graphs represents the function () ه کرد 4 f(x) f(x) 2 2x²+2x-12

A: Correct option (c)

Q: a) Using the methods of equations. 2x+2y + 4z = 18 x+3y+2z=13 3x+y+3z=14 (b) Gauss-Jordan, solve the…

A: Given :2x+2y+4z=18x+3y+2z=133x+y+3z=14

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: i can't understand the text. can you please write it on the paper? thank you

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Q: x²-16 8. lim x-4x²+9x+20

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Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: This question can be solved using the concept of differential equation.

Q: dy dx Using logarithmic differentiation, find NOTE: Express your answer in terms of x only. dy dx =…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 3. 2 cos¹ √x = cos ¹(2x-1) 0≤x≤1

A: We have to find out

Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y = 2rsine

A: Here, the total derivative rule used is: z=f(x,y)=x2y2 & x=2rcos θ , y=2rsin θ

Q: Solve the given differential equation. All solutions should be found. dy x8 - 6y dx X NOTE: Use c…

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Q: Determine whether the series converges. The series 8 k=1 13 15k

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Q: Which point is not a solution to the equation 3x - 4y + z-12=0? a) (-8,-9,0) b) (4,1,4) c) (16,10,4)…

A: The point which donot satisfies the equation will not be a solution .

Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11. 4. Determine the area to…

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