What is an antiderivative of the function x + 2xln(x)? x²ln(x)+2023 xln(x) +2023 In(x) + x xsin(x) + ln(x)

Q: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels…

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Q: Lines intersect in a point in two-space but do not intersect in three-space. True False

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Q: 5n-2 =1\3n+4/ 100 n= 2n+11

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Q: Consider the following graph of y = f(x): -10 -8 -4 -2 10 0 -10 Which of the following could be the…

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Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

Q: A projectile is fired vertically upward into the air; its position (in feet) above the ground after…

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Q: Evaluate the integral. S -21e - 25 e2x + 6ex + 5 -dx

A: To evaluate the following integral. ∫-21ex-25e2x+6ex+5 dx

Q: Evaluate 8 5 3 √√3x+1 - dx

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Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is;  y''+2y'+2y=24ex(cosx-sinx)  yp=6excosx y(0)=0, y'(0)=1.

Q: 4. Evaluate the upper sum for f(x) = cosx, 0 < x <m,w T,with n=4..

A: f(x)=cos x    , 0≤x≤12π  with n = 4 To evaluate the upper sum for the function f(x) = cos(x) over…

Q: volume is described as follows: 1 the base is the region bounded by y = 8-2² a and y = 0 .every…

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Q: given fal = √√x-5 and 9(x) = x² + 4x + 2 Find Fog and g of

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Q: f(x) = x²e-x. Note: It is known that lim…→∞ x²e -X

A: f(x)=x2e-x

Q: In a particular city, taxicabs charge passengers $2.20 for entering a cab and then $0.50 for each…

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Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

A: One side of a triangle is increasing at a rate of 9 cm/s and a second side is  decreasing at a rate…

Q: week 5 discussion Section 4.1 #36 find the inverse function. those illustrated in Example 2, Check…

A: We have   f(x) = 3/4 x

Q: Let h = f o g where ƒ : R² → R and g : R² → R² is defined by g(x, y) = (–3x²y, y − 2x). Find the…

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Q: A CD has diameter of 130 millimeters. When playing audio, the angular speed varies to keep the…

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Q: π Compute the definite integral cos³ (2x) sin² (2x) dx .

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Q: Find f. f"(x) = 1 - 6x + 48x², f(0) = 1, f'(0) = 2 1.

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Q: Calculate the integral approximation Se for S6 || ← [₁4+² dz. S 0

A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

Q: What is S₂²1² dx ? 2 1+3x² (tan¯¹ (3√√/3) — tan¯¹ (2√√/3)) ·(tan¯¹ (3) — tan−¹(2)) tan¯¹ (3√√/3) —…

A: We have to find the proper integral.

Q: for each question. A correct answer without an explanation will not earn any credit. The population…

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Q: (a) Determine the domain and range of the following functions. (1) z=sin(x-y)

A: As per guidelines we can solve only first question if multiple questions are posted. Please repost…

Q: 14. Differentiate. a) y= 12 10 b) y = (x + 2√√x) ex

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Q: Find the equation for the plane through the points Po(-2,-4,5), Qo(4, -3,1), and Ro(-3,4,-3 Using a…

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Q: Find following definite integrals: x² 1+r (1) L'a (3) ₁ (x³ arccos x + xe do Jdx (4) (2) # √ ²…

A: Note :  Since you have posted a question with multiple subparts, we will provide the solution only…

Q: Determine a definite integral that represents the area of the region enclosed by one petal of r = 4…

A: We have,      r = 4 sin (3θ)       a = 0

Q: Consider the function are true? 1. lim f(x) = 70 II. lim f(x) = 70 III. lim x) = 100 X-8 IV. lim x)…

A: Given function f( x ) = 100 - 12000400 + 3000axWhere a &lt; 0 &lt; 1

Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

A: Simple interest Formula is given as  SI = P×R×t100 Where P is the principal amount  R is the rate of…

Q: The form of the partial fraction decomposition of a rational function is given below. A = B Now…

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Q: Evaluate the given definite integral. -23 125 th In x

A: let D=∫123lnxxdx

Q: Find the 32th derivative of f(x) Enclose arguments of functions in parentheses. For example, sin…

A: The given function is;  f(x)=cos2x Find the 32th derivative.

Q: The region R in the first quadrant is bounded by the coordinate axes, the curve y=e -5x The (exact)…

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Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

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Q: Find the antiderivatives. Show any substitutions. [(7x+3) dx

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Q: The total cost function for a product is C(x)=700ln(x+100)−100, where x is the number of items…

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Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

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Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

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Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: Calculate the integral approximations T6 and M6 for (lnx)-¹ dx. Your answers must be accurate to 8…

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Q: Evaluate the integral. TT/2 [*¹²7 cos²(0) do de

A: NOTE: Refresh your page if you can't see any equations. . use the formula: cos2x=1+cos2x2

Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…

Q: ₁²√3x²2dx, u = 3x² - 2 du

A: Use the u-subsituation

Q: What present value amounts to $358,312.09 if it is invested for 5 years at 16% compounded…

A: What present value amounts to $358,312.09 if it is invested for 5 years at 16% compounded…

Q: Let Find e such that lim f(t) exists. t 2 The cis f(t) = 4 1 2t t + c for t 2

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Q: The following equation shows how a population grows every year by 5%. P(n) = 2000(1.05)" Where P is…

A: P(n)=2000(1.05)n n=10 years

Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…