Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

Q: Evaluate ff xdxdy where R is the region bounded by x=2, y = 0 and y = x

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: To find a formula for the general term  of the following sequence.

Q: -(-²-) - and the point P(-3,0), which lies on the graph of f(x), determine the equation of the…

A: Given the function  and the point , which lies on the graph of , then to determine the equation of…

Q: y'-(4/x)y=x^(5)*e^(x) how do I solve this differential equation?

A: The given differential equation is

Q: 6. Evaluate the indefinite integral (use C for the constant of integration). a. b. C. f(3x -…

A:

Q: The first three terms of an arithmetic progression are 2x, 5 and 6 – x.(i) What is the common…

A: The objective of the question is to find the common difference, the 9th term, and the sum of the…

Q: Derive the formula of a circle using horizontal strip

A: We need to derive the formula of the area of a circle by using horizontal strip

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: Here

Q: Find the area of the shaded region. r² = sin(20) P.

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Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.

Q: d. y = (x² + x + 1)15 sin(lnx) e. y = f. y = √√x³ + x² + x + 1

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: Let h(u) = (u +3) (u - 4) Determine the most general antiderivative of h. (u +3)(u — 4)du = -

A: Given,

Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+2t³,…

A:

Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = a cos³…

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Q: 5. Calculate the following limits: x-5 a. lim x-5x2–25 b. c. d. lim x--5 x²+3x-10 x+5 t² +t-2 lim…

A: 5)a) limx-5 (x-5)/(x2 -25)b) limx-(-5) (x2 +3x-10)/(x+5)c) limt-1 (t2 +t-2)/(t2 -1)d) limx-(-2)

Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= if x…

A:

Q: S dx x+7 2x-3

A: To solve the following integral.

Q: A company's marginal cost function is C'(x) = 686 - 4x +0.06x² where x is the number of units, i…

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Q: Find ∫∫R(5x+2y)dA where R is the parallelogram with vertices (0,0), (-2,-4), (1,3), and (-1,-1).…

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Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

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Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

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Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: When solving the auxiliary equation associated with the differential equation 3y"+2y"=0 it is…

A: .

Q: 3/4 Find the cost function if the marginal cost function is given by C'(x) = x C(x) = +5 and 16…

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Q: Let f(x)=√x. Use linear approximation at x = 27 to approximate f(27.1) 27.1. = The equation of the…

A: f(x)=  , x=27

Q: Find the cube roots of 125i. (Enter your answers as a comma separated list.) Sketch these roots in…

A: The given complex number is By De Morive's theorem The nth root of a complex number is

Q: The Maclaurin series of the function f(x) = 6 cos (5x²) ∞ can be written as f(x) = Σ n=0 where a few…

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Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: ind the surface area of the portion of the bowl z=9+x^2+y^2 that lies below the plane z = 13.

A: The formula to find surface area of 3D region is

Q: Given the hyperbola: 2²-2²2² 1 9 4 = (a) Graph the hyperbola and label the coordinates of the…

A: Given that a equation of hyperbola and we find centre, vertices and foci and equation of two…

Q: Let S be the solid that lies between the paraboloid z = x² + y² + x² = 2. (a) Describe Susing…

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Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 41 meters from an…

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Q: me limit definition of the derivative to find dx for f(x) = √-4x.

A: Given that the expression

Q: Consider the following parametric curve. Answer parts a and b. 70 x=2 sint, y = 2 cost; t=2 a.…

A: The given parametric equation of curve is

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A:

Q: 6. 14 ) Consider both geometric series below. 3 SA = 00 Σ n=1 5n and SB = M8 n=0 3 5n Both SA and SB…

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Q: f(x) = 3x² (x - 2)²

A: f(x)=3x2(x−2)2We know that the Mclaurin series of 11−x11−x=∑n=0∞xn

Q: In a large city, the road system is set up like a Cartesian plane, where streets are indicated by…

A: The baseball field is located 2 blocks west of street B and 28 blocks north of street A.

Q: (a) Using the figure, estimate [²1x f(x) dx ≈ fos f(x) dx. (b) If F is an antiderivative of the same…

A: Using the given figure, estimates

Q: 8. Megan went clothes shopping and bought 2 pairs of flare jeans, 2 camisoles, and 4 T-shirts for…

A: Let's use algebra to represent the prices of the clothing items. Let x be the price of a pair of…

Q: Suppose that we're setting up a wireless data network for a small municipality. The local ISP wants…

A: The given cost function is

Q: 1. Use the Limit Comparison Test to determine whether the series below converges or diverges. List…

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Q: Solve the initial value problem 8y" - 2y' - y = 0, subject to y(0) = -0.2, y'(0) = -0.325.

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Q: SX7UPET dx

A: I=∫x7x4+1dxI=∫x4(x4+1)x3dxI=14∫x4(x4+1)4x3dxSubstitute x4+1=u

Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

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Q: For the sequence defined by: a1 = 2 an+1 = Find: a2 a3 a4 = 4 an - 3

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

A: The domain is the set of all possible input values  for a which function is defined.

Q: Find the indicated term of the binomial expansion. (√2₁² +1³); second term 3 u

A: