Find the general indefinite integral. (Use C for the constant of integration.) | (x2 + 2x - 3) dx Evaluate the definite integral. '3 (x2 + + 2x – 3) dx

Q: Suppose that f(x) = 2x-4 + 3x-2. Evaluate each of the following:

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Q: COS X To check for the result, prove that CSC X+ 1- cos x xp Evaluate the lee cida nE the onuntion

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A: We have to differentiate

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A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Given f(x, y) = 2x* – 4xy – 2y?, find frr(x, y) = fzy(z, y) =

A: Solving the problem by finding the partial derivative.

Q: a. f(x) = V3x3 – 2 %3D b. y = (Vx + 1)(x² – x) 2x5-3 c. f(x) cos x d. y = sin(4x²)

A: All the questions are solved below.

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A: We have to find the surface area of the solid.

Q: 00 E(-1)ª-1. 3 Jerror| < 0.0007 n=1

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Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

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A: We have to find out the limit

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A: Work

Q: 3 sin z If f(2) = then 2 + cos z f'(2) =| f'(5) -

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Q: HWit Solve the fallowihg first order OLE ス -x(4) P sin DでSma Sloメ=

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Q: The functiof(x) and it’s first and second derivative are given: A) Domain of f(x) B)y intercept is…

A: Solution: f(x)=x-2x3 a) Domain :  take the denominator and compare it to zero x3 =0 =&gt; x=0

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: Jse one of the formulas below to find the area under one arch of the cycloid x = t – sin(t), y = 1 –…

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Q: 12 4 -3 -2 -1 -- -5 4 5 -2 -6 The function graphed above is: Increasing on the interval(s)…

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Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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Q: what are the real-life application of differentiation

A: Differentiation refers to finding the rate of change of one quantity wrt the other.

Q: -13x²+4x³+2x-7 x²+3x-2

A: see below the calculation and answers

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

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Q: A(8, 3,8), B(9, 8,33), C(9, 5,12), D(9, 7,24) a

A: answer is in next step

Q: Example 3 Video Example ) Find dx. 2 - 3x2 Solution Let u = 2 - 3x2. Then du = dx, and x dx = du and…

A: Solve the following

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A: Solved below.

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Q: Find the flux of F across S, F.N dS where N is the upward unit normal vector to S. F(x, y, z) = xi +…

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Q: dy Given the equation below, find dx 39x + 10ay + y° – 28 = -

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Q: f(x) = {x² + 4, x > 1 (4х + 1, х < 1 at a = 1; (1,2) ||

A: From the given, to determine whicch of the following statements is False.fx=x2+4, x≥14x+1, x&lt;1 at…

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A: We need to solve D.E. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

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Q: A manufacturer can produce 5130 cell phones when x dollars is spent on labor and y dollars is spent…

A: Given; 95x^3/4.y^1/4=5130

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A: Given query is to find the Indicated limit.

Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t) ||r(t)||* r(t) = 8 cos(7t)i + 8 sin(7t)j + 3t

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Q: 7. Find the absolute maximum and absolt f(z) = 2x – 31²/3 on the interval -1,2). %3D

A: We have to find out maximum and minimum

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A: Given query is to find the function

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Q: The point (4, k) lies on the ellipse 32 y? = 1. 18 Which of the following could be a value for k? 0…

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Q: Quèstion 5 The integral tan-1x dx is equal to ONE of the following. 2 (HINT: Use Maclaurin series) I…

A: Explanation of the answer is as follows