Evaluate the integral √ (k+ 2) ( k + 3) dx

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Q: Questions 1-4: The graph of a function y = f(x) on the interval [-3, ∞) is shown below. Use the…

A: Given.

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: Test for convergence / divergence. Find the limit if result is convergence.

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines

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Q: 2) fff (x² + y² + z²)ž dv D is the unit ball. Integrate using spherical coordinates.

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Q: consider the function y=−3sin(4x−π/2)+1  a) What is the amplitude? b) What is the period?  c)…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Which is an equation of a line? A. y = 4 B. x = y^2 -4 C. y^2 = x^2 + 4 D. x^2 + y^2 = 0

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Q: 6 F 0 28inx Cask ex

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Q: The rate of a continuous money flow starts at $600 and increases exponentially at 2% per year for 15…

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Q: dy 1. If (x + y)² = x² + y² prove that 11 I Alx y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: 1. f³₂ (x² − 3) dx -2

A: Given :∫-23x2-3dx

Q: Find an equation of the plane tangent to the following function at (0, 0): O z = 9 O 2x +2y+z-7=0 O…

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Q: 2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4. 3 sq. units 6 sq. units 9…

A: Given that  :   y2 =4x and y=2x-4 . And we find area bounded by this parabola and line.     Here i…

Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: 3.lim X→π In(cos2x) (π - x)²

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Q: What is the exact value of sin(67.5°)cos(22.5°)?

A: Solution-

Q: differentiate the function R(q) = 9lnq

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Q: Solve the equation: y" -y = 2* + Oy=ce to xe +e* (x+c3e2X + CA) Oy=c₁e* + c₂e* + ex (x + c3e-²x +…

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Q: 1) If y = (x − a)√2ax - x² + a² sin−¹(*—ª),t ), then y'= 2√2ax-x² a is constant.

A: As per instructions, Here is the answer of question 1

Q: 1 - ₁ - £x² = 1 + x + x² + X x=0 +++1-23-²² 3! sin x-(-1). cos x=(-1)- -(-1*- 1 - 2 + 1 - 4 - =…

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Q: Given f(x) = x^5 * cos x, dx= 0.01, use numerical differentiation to find: (1) df/dx for this…

A: Concept: The formula for the differentiation of the product of two function Let the two functions be…

Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

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Q: Find the local maximum and minimum values of the function f(x) = -x - 25 using the Second Derivative…

A: Given problem:- Find the local maximum and minimum values of the function f(x) = -x- 25/x using the…

Q: Determine whether each of the following functions is (a) continuous (b) differentiable.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 10. 1 (Use…

A: The given isosceles triangle with legs of length l=10

Q: If z = 4x - xy², which vector is normal to the plane tangent to the surface of this function at (0,…

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Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

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Q: Set up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: д 1 Option 1 Option 3 1 1+ 3x2 2√3 9 2 3 3 dx Option 2 Option 4 √3л 9 √3л 3

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1-6 0 {}} 4 3 5 3 4.) +

A: To simplify the given expression.To write "undefined" for expressions that are…

Q: Solve for the area bounded by the graphs of y = √√√x + 2, y = x + 2, x = 2, x = 4

A: Graph:

Q: Determine the constants c and d in the equation of the curve y = at (0, -1) and an inflection point…

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

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.)…

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Q: Now find the area bounded by y= x^3, x=0, and y=3 a) 3.25 b) 3.28 c) 3.26 d) 3.27 integral…

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Q: Convert the rectangular coordinates (5,-5√3) to polar form. Letr> 0and 0 <0<2TT.

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Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

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Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

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Q: Find the area of the region bounded by the curves y = y = -x² + 4x. 9/4 11/3 12/15 8/3 none of the…

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Q: 1 x² + y² = 4

A: Given: 1x2+y2=4

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A: Given, ∫3z1-4z-2z22dz Formulas used: ∫xndx=xn+1n+1∫1xdx=lnx

Q: Evaluate the following indefinite integrals. 1. [(5x + 4)¹¹ dx 2. √x (x² + 2)¹7 dx

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Q: Question 16 This equation represents what? O a sphere an ellipsoid O a paraboloid O a double cone x²…

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Q: The Physics Club at Foothill College sells Physics Show sweatshirts at the yearly Physics Show…

A: Solution

Q: X p(x, y, z)=xz²+sin (y) ex

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