Find the indefinite integral x² S ²-16 =dx = +c

Q: 5) increase in altitude. See diagram below. A road is inclined at an angle of 5°. After driving…

A: Given: A road is inclined at an angle of 5 degrees.

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Q: Evaluate tan³ (32)sec² (32)dr + C

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Q: (D3 - 2D2 - 5D + 6)y = e3x, Find Yp a. 1 O b. О с. 10 I 3x e 1 10 ∙e 3x xe 10 3x

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Q: 9. 7(t)= (cost, sin t)

A: #Question 9 Given, r→t=cos t, sin t

Q: Compute T₂(x) at x = 0.5 for y = e² and use a calculator to compute the error |eª — T₂(x)| at x =…

A: Let's find Taylor series and error.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: (15) Determine whether each integral is convergent or divergent. Evaluate those that are convergent.…

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Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p= S(x)…

A: The following formula can be used to find the producer surplus (PS), PS=px-∫0xS(x)dx , where p is…

Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 - sin2x 15 O c. 1 10 -sin2x -cos2x O d. 1 15 O e. none…

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Q: Use the Fundamental Theorem of Calculus to evalue the definite integral D=∫21(1+2y)2dy. NOTE:…

A: ∫xndx=xn+1n+1+cD=∫21(1+2y)2dy

Q: (D3-4D2)y = 5, Find Yp O a. 5x² 4 O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 O e. none

A: To find Yp

Q: Evaluate the indefinite integral. 9dx x ln(2x) +C

A: The given integral is an indefinite integral . We solve this integral using substitution method .

Q: Evaluate • fff ²² e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y²…

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Q: Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

A: To find the roots of D4+4y=0

Q: Solve the following equations. 1. (xy + y²)dx-x²dy = 0

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Q: b) (1+x) dz

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Q: 12. Using the substitution u = = √x. S₁. (A) 25e" du (B) 25e" √x e" du dx is equal to which of the…

A: The given integral: ∫14exxdx

Q: Problem 7, continued (still with f(x) = x/²). (c) A particle is moving on the graph of y = f(x). Its…

A: Given Function,fx = 12x32y = fx,at x =2 , we have  dxdt = 5

Q: Find the roots of (D4 + D² + 1)

A: Given,            D4+D2+1To find : Find the roots of the D4+D2+1.

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Let a1 = 2. Let an+1 = 2 − 1/an. Prove that an is decreasing and bounded below by 1. b. Determine…

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Q: Use l'Hopital's Rule to evaluate commonly known limits. lim 0 x O lim Use l'Hopital's rule to…

A: Use  l hospital rule to find  the limit.

Q: Evaluate the definite integral   D=∫π/20sin(2t)dt.     NOTE: Use exact values only. Do not…

A: Given query is to find the integral.

Q: 6. Consider the function f(x) = e¹/x. (a) What is the domain of f(x)? (b) Find all vertical…

A: Since you have posted multipart question i can do first question as per our company guidelines…

Q: 7. If y = (x³ - cos x), then y' = (A) 5(x³ - cos .x)* (B) 5(3x² + sin x) (C) 5(3x² + sin x) (D)…

A: As per the guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Find [ ²³ 24 dz Question Help: Video

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Q: f(x) = 8x + 2x²-x³, g(x) = 0 The area is (Type an integer or a simplified fraction.) gr -4 18- -18 3…

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd…

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Q: Set up and evaluate the integral for the area of the shaded region. y = 4-x y=16-x² Set up the…

A: Given two curves y = 4 - x y = 16 - x2first find intersection points 4 - x = 16 - x2x2 - x - 12 = 0…

Q: Evaluate the indefinite integral. x + 3 1² + 6x + 10 dz

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Q: csc cottan cot (a) [s 0 de

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 1 7x6 (6-x) dx 0

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Q: (D3-2D2-5D + 6)y = e³x, Find Yp O a. 1 O b. O C. O d. 10 e xe 1 xe 3x 10 3.x 10 10 O e. e. none ∙e…

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Q: Question Use properties of the indefinite integral to express the following integral in terms of…

A: To solve the following problem of Integration

Q: Let​ R(x), C(x), and​ P(x) be,​ respectively, the​ revenue, cost, and​ profit, in dollars, from the…

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Q: If the marginal revenue (in dollars per unit) for a month is given by MR= -0.3x + 300, what is the…

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Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: Find the roots of (D4 + D² + 1) a. D*1#ys 2 1± √3 1±÷√/3 2 O b. OD-183-1243 −1± √3 - 1 ± i3 Oc1+i√3…

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Q: determine the solution of the differential equation

A: Given: D2-1y=2ex-e-x

Q: Let f(x) = √9-x² and g(x) = x + 1. Find the following functions and their corresponding domains: f+g…

A: Given f( x ) = 9-x2g( x ) = x + 1 as we know that domain = range of x values

Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 -sin 2x 15 -sin2x O c. 1 ➡cos2x 10 O d. 1 15 O e. none…

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Q: If ["* f(x)dx = [ª* f(x)dx + [ª f(x)dx - [** f(x)dx, 6 what are the bounds of integration for the…

A: Given∫abf(x)dx=∫-62f(x)dx+∫25f(x)dx-∫-6-2f(x)dx We are required to find the value of a and b

Q: If a car gets 21 kilometers per liter of gasoline, how many miles per gallon of gasoline would it…

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Q: Find the Taylor series for each function centered at the given value of a (assume that each function…

A: Given,           fx=sinx , a=π2To find : Find the Taylor series for each function centered at the…

Q: III. Find the equations of the tangent and normal to each at a given point. Show the graph. You may…

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Q: Of all numbers that add to 62​,find the pair that has the maximum product. That​ is, maximize the…

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Q: Find the area of the region between the curves y = x³ and y = x² + 6x. Area between curves =

A: Given, y=x3, y=x2+6x

Q: 5. Find the area of the region. a. One petal of r=2cos 30 d. Interior of r=1-sin

A: Solution (a)