Find the indefinite integral. (Use C for the constant of integration.) 1 dz 4 (6 – z). + Need Help? Watch It Read It

Q: yi + yi = 1, when x = 0, y = 4

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: B Graph the follo wing y, = 2sec2x %3D Yz = 1-25in (x+ ) Y3=2 cotx

A: We know, sin(x+π/2)= cosx Given functions, y1 = 2sec2x y2= 1-2sin(x+π/2) y3= 2cotx

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Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

Q: The planes I and I, have equations II. : 6y+5z =-19, 5 I,:ニx-4y+7:=1. State the normal vector of the...

A: We have to find the normal vectors of the given planes.

Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 3D V5а,. a1 = Compute lim an. n→∞

A: ann=1∞ be a convergent sequence such that a1=5 and an+1=5an

Q: se L'Hopitals's rule to find lim xIn(e* – 1).

A: Given query is to find the limit of the expression.

Q: f(x)=x^2+5x and g(x)=3-x^2 find f(g(7)).

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Q: these equations have complex characteristic roots. Find the general solution in each case.  a.y'' +...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: ) Find the indetinite întegrel. 8, Inede

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Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: Replace ? with an expression that will make the equation valid. d. x* +5 = ex +5? dx The missing exp...

A: Consider the expression  ddxex4+5=ex4+5   _

Q: Question Select your answer. Find the equation of the tangent line of f(x) = x2 + 5x at x = 2. y = 1...

A: A detailed solution is given below

Q: I4)= te (t-1) Find the lapiare transform using the de finiton/ integration metnod.

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Q: Q1) Solve the following system of linear equations: [ 3x-2y32-z 02) Find the largest possible area o...

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Q: What is the additive inverse of the complex number 3-7?

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Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings me...

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Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

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Q: 3. tan(xy) + xy = 0

A: Since, the student has clearly mentioned to solve question number (3), so we are solving only questi...

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is given by the average...

Q: 5/ 2 Vx 4. f (x) 4-3x ||

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Q: Match the equation with its graph. y = x- x 2.5 15 0.5

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Q: O Find a general salution answ r リーx- C-X

A: The given differential equation is: xy'=12y2+y which can be written as: y'=12xy2+yx⇒y'-yx=12xy2 whic...

Q: 1. The velocity of a plane is modeled by v(t) = –1+ cos (+ 3 sin (), measured in miles per minute, f...

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Q: Question 7 Find the volume generated if the region enclosed by y = x? and the line y = 2x is revolve...

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Q: Your are driving away from New York. Your distance​ (in miles) away from New York x hours after​ 1...

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Q: Given the data points (0, 2), (1, 1), find the following: (a) The straight line interpolating this d...

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Q: Let S be a nonempty bounded set containing a sequence of rational numbers. Provide an example such t...

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Q: For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. ...

A: 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). Th...

Q: The planes I. and II, have equations IL : 6y+5z =-19, 5 II,: -x -4y+7z =1. State the normal vector o...

A: We have to find the normal vectors of the given planes.

Q: xy²y' = y + 1; y(3e²) = 2

A: Given that a differential equations and we solve this differential equation by using saparation meth...

Q: Given cost and price (demand) functions C(q) = 110q + 42,000 and p(g) = - 1.9q + 860, What price sho...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  and the demand func...

Q: Minimize Q= 2x +3y2, where x + y = 5. ... y% = (Simplify your answer. Type an exact answer, using ra...

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Q: Express the limit as an integral. (7(x;)? - 2(x;)³Ax over [0, 4] lim i = 1 dx

A: This question can be solved using the limit definition of integration.

Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

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Q: Solve for the Slope and Rate of Change of the following. 1. What is the slope of the graph y = -x2 a...

A: As per bartleby guidelines we are supposed to answer only 3 subparts per question. This post has 4 s...

Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'...

A: According to the problem, we have

Q: Find the centroid (a, j) of the region bounded by: 7а? + 5a, у — 0, г %3D 0, and x = 9

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Q: Given that the terminal side of angle 0 goes through the point (-3,-4), find sec(@).

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Q: 2+x 9 y = Arctan( ) 1- 2x 10. x = cos't ; y = sin't

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Q: evenue and cost functions R(q) = 90q – 0.3q and C(q) = 14q + 500, find the marginal profit rginal pr...

A: Topic:- function  Marginal profit is the difference between the marginal revenue and marginal cost a...

Q: lim, s0¤(t) = 1? Оа. "+а — 0, z(1) — 2. 0, г(1) — 2. ОБ. — - 0, 2 (2) — 1. Ос. - 2г — — 0. 0, æ(1) 0...

A: To determine which of the following initial value problems has a solution xt.limt→∞xt=1a x'+x=0, x1=...

Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is rotat...

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Q: In Exercises 17-20, a function z = f(x, y) and a point P are giv- en. Find the equation of the tange...

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Q: show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given di...

A: Given differential equation y''+4y=0  y1(t)=cos(2t)     , y2(t)=sin(2t)

Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function a(t)&g...

Q: (x +1)' sin x (c) lim 2х X-0 sin x lim -0 5Jx (d) 20? +sin O lim (e) 40 6x-sin 2.x lim- X-0 2x +3sin...

A: We evaluate the given limits in the following.

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below