x3-1 dx J2+2x+5

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: Sunecose - Sune=0

A: The objective of the question is solve the given equation.

Q: Evaluate the integral by any method. NOTE: Enter the exact answer. dx 3+ x4 %3D

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Q: Using Linear Approximation, determine the approximate value of the following: Final answers must be…

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Q: t2, -8 + 3t, g(t) = l(t -6)* + 2 cos (: -). – 6)? + 2 cos (-),

A: answer is in next step

Q: Find the slopes of the surface at the given point in the x-direction and the y-direction. z = x2 -…

A: This question is related to slope of surfaces, we will solve it using given information.

Q: Compute the given integral. zp-

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: This question can be solved using the concept of unit tangent vector and length of vector curve.

Q: 3e" da V4-e2a

A: We have to find out the integral

Q: (2) Evaluate the iterated integral by converting to polar coordinates. 2 v8-yz Vx2 + y² dx dy o y

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Q: Current Attempt in Progress Evaluate the definite integral two ways: first by a u-substitution in…

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Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

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Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

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Q: Find the solution of the given differential equation

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Given the slope field below, which function describes the given graph. A. y' = x? + y +1 B. y' = x*…

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Q: Find and classify all critical points of the function defined by h(x,y)=x^3−3x+3xy^2.

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

Q: Σ Suppose the Maclaurin series f(x) is f(x) =£ n=0 Find the Maclaurin series for the following.…

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Q: (D² + 4)y= 4 cot 2x

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Q: 2x S dx 4e2x –8eª +5

A: Procedure is correct but there are few errors in some of the steps.

Q: Prove the following identity: 1- tan? e cos 20 = sec e

A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &…

Q: 1. a. Show that two lines with direction vectors d, = (2,3) and d, = (6,-4) are perpendicular. %3!…

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Q: the derivative of the function at P0 in the direction of A ​f(x,y,z) = 9excos(yz)​, P0(0,0,0)​, A =…

A: Given query is to find direction derivative.

Q: S 23x26 + 35 + x2-16 dx x-4

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Q: dx 2. S Vx2-4x-7

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Q: nt Use the model A Pe" or A P where A is the future value of P dollars invested at interest %3D…

A: Let's find.

Q: Find a power series representation for f (t) = ln(10 – t). %3D

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Q: _5. Given the fox²dx, which of the following is the integrand? A. O B. 2 C. x D. dx

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). x = 3t? –…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Calculus What is the inverse of f(x)= x^3 +x -4

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Q: (3,2,4) m = i +j+k r2: А %3D (2,3,1) В %3D (4,4,1) r: A = (a) Create Vector and Parametric forms of…

A: Given problem:- r₁:  A = (3,2,4) m=i+j+k r2 : (2,3,1) B = (4,4,1)   (a) Create Vector and Parametric…

Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Given:-the region bounded by y=sinx, x=0 and y=1revolving about y=1using washer/disk…

Q: Find all the local maxima, local minima, and saddle points of the function. 4x² + 4y² - 32x f(x.y) =…

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Q: -2t e "(cost+3 sin t)

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Q: (-) Suppose the following expression gives us how much a certain investment accou worths after some…

A: Topic-:- compund interest

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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Q: x2 - 3x -7 dx (x2 + x + 2)(2x - 1)

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: Use a calculator to find the approximate value of the expression. Round the answer to two decimal…

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Q: Given: (6, 0, –2) and (0, 8, 0). (6,0, –2) × (0, 8, 0) = æi + yj+ zk. Find x +y+ z.

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Q: Evaluate the double integral over the given region. 9x sin xy dA, R: OSXST, Osy<1 R

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Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: We can solve the given problem by using differentials.

Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 2 Period:…

A: Sine function :  y= a sin(bx-c) ; where, 'a' is the amplitude and 'c' is the phase shift .…

Q: - If f(r) = e² is a solution of xy" – (r + 1)/ + y = 0. Then, the general so (A) y = c1e² + c2e=z…

A: Answer is in next step     option  E is correct.

Q: 4n+3 Зп+ 2 {a,} = Зп — 4

A:

Q: Integrate using any applicable method. Be sure to give an exact answer. (3z+1) Enter your answer in…

A: Solve the following