x – 1 dx x²(x + 1) “* x² – x dx x² + x + 1

Q: Consider the curve segments: 1 - to x = 4 and 3 1 to x = $1: y = x² from x S2: y = Vx from x = = 16.

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Q: 27t3 dt

A: Given query is to find the integral.

Q: na "rx) ax = 7, evaluate Given dx - 0 dx. dx dx. (c) dx. (d) 3(x) dx.

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +-square root…

A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a<b)Here focus…

Q: Consider the function f that is continuous on the interval [-8, 8] and for which the following is…

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Q: let f(x) be the function 4x^2 - 4x + 11. Then the quotient f(4+h)/h - f(4)/h can be simplified to ah…

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Q: Do not use a calculator in this question. 3 V3 6+2v3 5- V3 p+qV3 6. find the CS CamScanner value of…

A: This question is based on similar parallelogram properties and rationalisation.

Q: 8 Jcos xdx Scos xdx 10 12 Scos? xdx

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Q: A 2-ft-high and 5-ft-wide r

A: answer is in next step

Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: Find the area between the curve and the x-axis over the indicated interval. y = 81 -x: [-9, 9] 2.…

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Q: Find the general equation of the plane containing the point (2, –1,4) and normal to the line 2 = =…

A: As the line is normal to the plane, the DRs of the line and normal of plane is same.

Q: Find the most general antiderivative or

A: Given query is to find the integral.

Q: Jcos xdx Scos" xdx 10 12 fcos? xdx

A: 8.)∫-ππcos2x dx ( since, f(x) =cos2x , If f(x) is an even function i.e:  f(-a) = f(a)then ∫-aaf(x)…

Q: 7. Without using technology, solve the equation: log(x + 10) – log(x - 5) = 2 %3D

A: The given equation is: log (x+10)-log(x-5)=2

Q: Use the initiator and generator shown to produce the next two stages and attach your answer.…

A: In order to proceed to next two stages we need to get the logic behind the initiator and generator.

Q: Find the gradient vector field (F(r, y, z)) of f(x, y, z) = x² sin(3yz) F(z, y, 2) = (

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Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v…

A: The given answers are in the fraction form. But you have entered them incorrectly.  Please make sure…

Q: cos

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let p(x) = vx represent the radial density of a disk. Calculate the mass of the disk of radius 4…

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Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

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Q: A cylindrical kite frame is to be constructed from a 4 metre length of bendable  steel rod. The…

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Q: Find the area of the shaded region. f(x) = x – 8x° + 21x, g(x) = 20x + 50 3

A: Intersection…

Q: Graphs of f(x) (solid) and g(x) (dashed) are given below. Use them to find the following ives. Show…

A: Graph of  the function f(x) and g(x) are given, we have to find the value of h'(1)

Q: The given masses m¡ are located at the given points Pi which are placed in the xry-plane. Find the…

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Q: buff'g'sinay olxly

A: To solve the following integral

Q: sa = -1, a = 0, and a = 2,c

A: answer is in next step

Q: 51 |x* sin 3xdx 2 53 [x' sin 3xdx 55 sin 3xsin 2.xdx

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e. (a) Verify that yp = -3x + 2e*…

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Q: sin 8 What is the exact value of Show your work for partial credit.

A: Find the value of sin(7pi/8).

Q: 2. Solve the equation 2 + 34-5x = 10 in terms of logarithms and then use a calculator to find…

A: We will use logarithms to solve this question.

Q: S 2+3* dx = 4 F. 2Vx 5. In 8 G. 8* S(D-) dx =: Inlxl 6. 2 In 3 H. 2x

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Q: 6. Simplify each of the following using the properties of logarithms: (a) In ) (b) log2(Vt5)

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Q: Find the area of the region bounded by the given curves (a) using integration with respect to x and…

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Q: Determine if the following series converge or diverge. If it converges, find its value. n+ n? (a)…

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Q: 5. Boat Speed A boat on a river travels downstream between two points, 20 mi apart, in 1 h. The…

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Q: Find the general solution of the given differential equation: dy = x²y %3D dx

A: Solving

Q: ng iniegration, find the area of the region enciosed by the given curves =D1,x = 0 and y = vx as…

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Q: 8. A population of beetles can be modeled by the equation y = 1000sin (12t)+8000 where t is in…

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Q: var mysql require('mysql'); var con = mysql.createConnection({ host: "localhost", user:…

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Q: fr cos xdx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6) Use the scalar triple product to verify that the following vectors are coplanar: ü = i + 53 – 2k…

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Q: Ax) = - х — 6 3 X + 2x - х — 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: B a A b Note: Triangle may not be drawn to scale. Suppose c = 15 and A = 25 degrees. Find: a = b = B…

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Q: Find the open intervals where the function is concave upward or concave downward. Find any…

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Q: Find the general solution of the differential equation y" – 10y' + 29y = e-*

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Q: Complete parts (a) through (c) below for the given function. 2x f(x) = x² +4 (a) Find intervals…

A: Given

Q: For items 1 to 5, consider this function: 3. y = V5x² – 4 y%3D

A: Given query is to find the derivative of the expression

Q: Solve the inequality. (Round your answers to two decimal places. Enter your answer using interval…

A: Given query is to find the solution of the inequality.