PROVE OR DISPROVE THE FOLLOWINCT: (SHOW FULL SOLUTION) 44 dx4 ((x ²³²= 1) inx) = 6 (x³71) x4

Q: The expression √(3x - 2√x) equals Ax³/2. + Bx where A equals: and Bequals:

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Q: Find the area of the unbounded shaded region. 3 (x - 1)³ -∞0 < x < -1

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Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: , 103√x - √x X dx

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Q: Using Table 11-1, compute the amount of compound interest (in $) earned in 1 year and the annual…

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Q: Evaluate the improper integral or state that it diverges.

A: We need to evaluate the following integral: ∫-∞-48x3dx This can be computed as follows:

Q: For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0…

A: Given that valocity v(t) = - t2 +4. And interval is t=0 to t=3. We find displacement on this…

Q: What is the polar form of the equation? (x+6)² + y² = 36 O² 12r cos 0 Or(r+ 12 cos 0) = 0 ○r (r + 12…

A: x+62 + y2 = 36

Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: (d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your…

A: We have given a table that shows the national expenditures for health care in the United States for…

Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: A line passes through the points A(-1, 3, 1) and B(2, 0, -1). Find a vector equation of the line. A)…

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

Q: can you explain how you got (x-2)=(t-3) and can you explain how you got the new limits because the…

A: Given:

Q: 8. A = (1, 1, -2), B = (-2,3,1), what's the angle between A and B?

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Q: TT Find the Taylor series at x = for 7sin(x). (Make sure your answer has at least three terms.) 2

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Q: (2) Prove that TT/2 S tane Z coś 0 (1 + tano) ² 11 #la

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Q: Sketch an example of a non constant function f(x) such that - 0 f(x) dx = 8

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Q: (x² + x)ex³+³x dx

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Q: 2. The normal line slope of f(x) = (a - 1)x² + 3x - 2 is GIN at x=-2, a=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + + 3.5 5.7 7.9 9.11 (Use symbolic notation and…

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Q: Use partial fractions to find the area of the given region. 7 16x² y = y 3

A: Now area of the region f(x) from a to b formula Area=int_a^b f(x) dx

Q: 7(6x + 1)³√√x² + x (6x + 1)5 x² + x 2

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Q: 3 Given that y = ³x solves -2xy"+(6x+2)y-6y=0, find the second solution of the above differential…

A: -2xy''+6x+2y'-6y=0

Q: What is the area between the curvey and the x-axis on the interval from [0, 2]? O 128T OO CAT 128 7…

A: The given curves are: y=x6   and   x-axis  on the interval  0, 2

Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

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Q: In Problems 6-10, let R be the region bounded by the semicircle x =√√4-y² and the y-axis. Each…

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Q: Use the Rectangular Approximation Method to approximate the area of f(x)=³ on the interval [0,8 with…

A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

Q: (ln(t))4 dt t

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Q: A normal vector to a line is perpendicular to that line. True O False

A: To find true or false statement: A normalvector to a line is perpendicular to that line

Q: Consider the following vector function. r(t) = (3t2, sin(t) - t cos(t), cos(t) + t sin(t)), t> 0

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Q: Solve the problem. The quality of the images from an orbital telescope result from a large parabolic…

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Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: If A(t) denotes the annual rate of world consumption of oil at time t (with t=0 corresponding to…

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Q: Determine the value of the given element of the matrix. a34 A = 3 15 -7 Select one: O a. -5 O b. 24…

A: A=3-89-215-3108-72-513

Q: A ball is shot out of a cannon at ground level. Its height H in feet after t sec is given by the…

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Q: Linear Functions, Determining The Equation Determine the equation of the line passing through each…

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Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: The bus stop is across a grassy park. It is 1500 feet west and 500 feet north of her starting…

Q: 1. In three-space, find the intersection point of two lines ₁ = (–1,1,3) + t(1,2, −2) and r₂ =…

A: The given two lines are: r1→=(-1, 1, 3)+t(1, 2, -2)Andr2→=(5, 3, -3)+s(-2, 1, 1) where s, t∈ℝ

Q: Find an equation of the plane passing through the three points given P = (4, 2, 9), Q = (6, 7, 18),…

A: We have given three points as P = (4,2,9) Q = (6,7,18) R = (11,8,12)

Q: Question 3 A rectangular box has a perimeter of 50 inches. Find the length and width of the box that…

A: Given :- A rectangular box has a perimeter =50 inches

Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

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Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters…

Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23

Q: Use the Chain Rule to find az/as and az/at. Z = tan(u/v), u = 8s + 2t, дz as дz 34 || || v = 2s - 8t

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Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

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Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (1, 2, 2) in the direction…

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