A. Find the derivative of the following functions. Whenever possible, express answer in factored form 5 A 4. y = 5. y = (x - 1)√x² - 2x + 2 x-1 x+1 6. y =

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Q: A B Which of the following is the general solution of 2- y secx = y³ tanx ? dx secx+tanx = (secx +…

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Q: 2) Is the discontinuity x = 0 for the function f removeable or non removeable. Fully justify your…

A: We need to explain removable or non removable continuity at x=0.

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Q: 13. r(t) = e'(cos ti+ sin tj + tk) sto

A: Topic:- application of derivatives

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Q: 3. Find the area of the region enclosed by the line y = x - 1 and the parabola y² = 2x + 6. Graph…

A: Solution is given below:

Q: A tank initially contains salt in the pores if inert material and 10 gallons of fresh water. The…

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Q: dx 2. Evaluate the improper integral S Why is it an improper integral? (x − 1)² 3. Find the arc…

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Q: 31. Temperature readings T (in °C) were recorded every two hours from midnight to 2:00 PM in Atlanta…

A: Given data, t 0 2 4 6 8 10 12 14 T 23 21 20 19 21 26 28 30

Q: A 3.14 B 3.19 D 3.23 π Consider the differential equation x + T = e* with T(0) = 1. What is the…

A: The given differential equation is; x dT/dx +T =ex, T(0)=1.

Q: ven (10, 5) and (x, - - 10), find all x such that the distance between these two points is 17. Sepa…

A: Topic:- calculus

Q: 9) For the function f, assume f(x)= continuous? A) 3/4 B) 1 4x C) 0 for nonzero X. D) 4/3

A: 9) The given function is ; f(x)=Sin(3x)/(4x).

Q: Solve (x + 4y + 3) dx = (2x - y - 3) dy a. (x - y)ln |xy| +3(x - 1) = C(x - y) b. (x (x+y)ln + y)ln…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: 4. Show that im (XM) (110) хуу (x-4)² + y² does not exist.

A: see below the calculation and explanation

Q: Consider the differential equation (DE) 5 j=4 x/+¹y(2) + x² (y(7))12 + xy"+y' = cos(2x). a) Its…

A: Given that we need to find the order degree and number of initial conditions for the given…

Q: A 3.14 dT Consider the differential equation x +Tex with T(0) = 1. What is the approximate value dx…

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Q: 4 c) f₁ 3 f(x) dx = d) fº | 5ƒ(x) | dx =

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Q: Which of the following is an integrating factor for ydx - xdy = 0 ? ...

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Q: 5. (a) C Evaluate sinxcos³ xdx 1 1 sin³ x+-sin³ x+C 3 5 3 sin x sin³ x+C 1 (b) cos³x-cos³x + 1 (d) 3…

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Q: The non-zero value of n for which the differential equation (3xy² + n²x²y) dx + (nx³ + 3x²y)dy = 0…

A: Given : Diffierential equation :3xy2+n2x2ydx + nx3+3x2ydy=0   To Find : Non-Zero value of n so…

Q: 7. Given to the right is the graph of a function f(x). Arrange the quantities below in order, from…

A: The graph of the function fx is To evaluate: The arrangement of f'(1), f'(2), f'(3) and f'(4) from…

Q: Solve the equation. A. x+9=-12 C. -0.3+r=4.7 B. -8+k--17 D. +3m= 12m

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: A -3 (в -2 2 3 The non-zero value of n for which the differential equation become exact differential…

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Q: If the distance between (-4, 3) and (−4, a) is 4 units, find all possible values of a. (Enter your…

A: Let's find possible values of a.

Q: Given (13, 8) and (x,- 7), find all x such that the distance between these two points is 17.…

A: given points(13,8) and (x,-7)

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Q: A particular curve passes through (1, 1) and satisfies the differ- ntial equation dx = (1-3y²³) dy.…

A: Let's find equation of curve in the form of x=h(y).

Q: 4. y=x²-x² + +5x+1 perpendicular to line y=9x-2

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Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Let f(x)=32x2 and g(x)=12x2

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Q: Find the equation of the tangent line. cuberoot(7x-6) that is perpendicular to the line 12x+7y+2=0

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Q: er linear equation in the form y' + p(z)y = f(z) can be solved by finding an integrating factor μ(z)…

A: we will find the required.

Q: 1. Center at (-3, 9), a vertex at (-6, 9), and conjugate axis of length 8.

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Question 6. Find an equation for the surface consisting of all points P that are equidistant from…

A: See this solution in below.

Q: Please show your answer to 4 decimal places. Suppose that f(x, y) = e 2²-2y²-2x-y then the maximum…

A: See this solution in below.

Q: 5. Change of variable 2 x dx 3x+1 a.

A: Given function, ∫12x3x+1dx

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A: This is a differential equations problem

Q: 1. Find the derivative of each function using the FTC Part I arctant dt et b) dt (simplify your…

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Q: a. (27x³y6z12) b. 10-4.1 103.5.10⁰.1 . C. 8³√x²4√y -2³√x√√ys

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Q: [₂ (1-x-4x³. -2 •3 0 0 (1 − x − 4x³ + 2x5³) dx (5 + 3 cos x) dx 3 x² ex dx

A: Given that  some integration and we solve these integrations by using general property of…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: (c) y" 2y' + 4y = 0

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Q: Differentiate the equation: y=4x2+8x+2/the square root of x

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