Consider the function f(x) = 3 x3 27 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x)= =

Q: Which graph represents the reciprocal of y=(x+2)²-3? A B La C D U home

A: The function is  y=(x+2)2-3

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (-2x,y, -2z) across the…

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Q: Below is the graph of a function f. -2 H

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Q: A particle moves along a line so that its velocity at time t is v(t) = t^2 − 4t + 3 measured in feet…

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Q: Suppose that it is given to you that f′(x)=(x+4)(12−x)(16−x)f′(x)=(x+4)(12−x)(16−x) Then the first…

A: We need to find out the relative extremum and inflection points.

Q: -2x › & (13 + √2²ª ln(1 + 3t¹)dt) equal to ? (b) What is the derivative (13+

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Q: The system of first order differential equations y₁ = -6y₁ + 8y2 + 1 y₂ = 8y1 - 6y2 + 1 where y₁ (0)…

A: Please see the below pictures for detailed solution.

Q: What is the value of k in the equation (A) 5/3 B 3/5 5/8 25 on [ (3√/ x² +5√/\x³) dx = ²3x³¾/³ +…

A: The given integral ∫3x23+5x35dx=95x53+258xk+C We have to find the value of k.

Q: 2. Find each indefinite integral. Show all steps. of si a) sin²(6t) · cos5 (6t)dt

A: As per the Bartleby guidelines, answering only first question because the other questions are not…

Q: 13. h(x) = f In 1 dt t

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Q: 1. If the region to be rotated is bounded by two curves, and the typical rectangle extends between…

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Q: Sketch the graph of 1. f(x) = -2 6 4 +2 2 2 -4 -6 دا 2 + 2, 2 < 0 22 + 2, 2 2 0 2 3. 4. 5. -4-2 6 4…

A: Option (1) is correct answer.. I have solved step by step in detail...go through the solution

Q: The marks scored by 10 students out of 75 are given as 3, 30, 10, 13.9, 41, 56, 30, 71, 30, 13.9,…

A: The marks scored by 10 students out of 75 are given as 3, 30, 10, 13.9, 41, 56, 30, 71, 30, 13.9,…

Q: (b) (i) If y=-e 1 show that dy k = dx 22 e NIX

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: a. a₁ = 1, a2 = 2, an=2an 1+3an 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Problem 6: Find the point (x,y) with x > 0 and y> 0 that lies on the curve y = 2x² and produces the…

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Q: Which interval is f increasing when f'(x) = x³ - x? (a). (-∞,0) (b). (-1,0) (c). (-1,1) (d). (0,0⁰)

A: we need to find out the intervals where function is increasing.

Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: total perimeter of the section( P ) = perimeter of rectangle + perimeter of triangle let width of…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: For the parabola 4x + 2y² + 8 = 0, find the directrix.

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Q: Find all the horizontal and vertical asymptotes (if any) of the function g(x)=|3x|· tan¯¹ '() Show…

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Q: 2. Let F be the 3D vector field defined by F = -r/r³, where as always r = (x, y, z). This vector…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi + yj + zxk and S is the…

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Q: FIND THE 2ND DERIVATIVE 4. cos xy-y-3x = 0 Solution:

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Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots of multiplicity 1…

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Q: The rectangular coordinates of a point are given. Plot the point. -1.5 -1.0 O (1, 0) (r, 8) = -0.5 y…

A: The objective is to solve the above question.

Q: 56. L²₁ dx 2 x² 3 2

A: ∫xndx=xn+1n+1+clet  I=∫-124x3dx

Q: Find an equation of the hyperbola that has vertices (0, 3) and foci (0, +4). Equation: = 1

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Q: If y = tanh-¹ (cosz), show that d'y dy (tanz) + dr2 da = 0.

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Q: Find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

A: To find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 2), defined on the interval…

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Q: Find the general solution of the higher order LDE using reduction of order. (D² + 4D + 4)y=8

A: ven differential equation ( D2 + 4D + 4 )y = 8 complete solution y = CF + PI

Q: Find the area of the region enclosed between f(x) = x² + 11 and g(x) = 2x² +2. Area = Note: The…

A: Given query is to find the area enclosed by the curves.

Q: 6. When a particle is moved from x = 1 meter to x=3 meters with a force of (x²+2) Newtons, how much…

A: To solve the problem we use the following: Let dw denotes a small amount of work done by the force F…

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →when x = 1, y = 1

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Q: y = √4-x²

A: The given function y=4-x2. We have to sketch the graph of the function on the interval -2≤x≤2.

Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given velocity function is  and the…

Q: A spherical snowball melts in such a way that at the instant at which its radius is 2 centimeters,…

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Q: Use the divergence theorem to find the outward flux of the vector field F(x, y, z) = 3x²i + 4y²j +…

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Q: The ellipse x² 52 32 82 then y = :1 - can be drawn with parametric equations. Assume the curve is…

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Q: Question Determine the integral that can be used to find the arc length of the curve defined by the…

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Q: Which of the following is the antiderivative of f(x) = tan (A cos x + cotx + C B -In/cos.x+C (C) D…

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Q: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A =…

A: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. and A =…

Q: If f(x, y, z) = 6 √2x+8y +9z, then fz at x = 0, y = 0, z = 1 is =_ 00 -3 01 09

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

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Q: /3 ㅠ ㅠ Given that 1 ≤ tan(x) ≤ √3 on [1,1], estimate tan(x) dx. 4' 3 < f/3³ tan(x) dx <

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Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

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Q: Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It…

A: We need to find work done.

Q: 1. Determine whether the following infinite series are convergent: A. n=1 n! (n + 2)!

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