Use the parametric equations of an ellipse,x=6cos(θ),  y=3sin(θ),  0≤θ≤2π,to find the area that it encloses.

Q: Find the general Solution of: dy dx XsinX

A: The differential equation given is

Q: EASE could you shed a litttle bit more light on how you got the critical numbers

A: So, f'(x)=0 gives us

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Q: a) The rectangles in the graph below illustrate a The value of this Riemann sum is left endpoint…

A: given function

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Q: Find f. f(0) = f "(0) = sin(0) + cos(0), f(0) = 1, f(0) = 1, f'(0) = 3

A: Given that the expression

Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: Find the general Solution For D-E dy = xỷ - cosx sinx dx y (1-x²)

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A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Finding the area between curves. Below, we see a region bounded by two curves. (graph not…

A: I have appended the formula used in solution procedure.

Q: 6. Given the implicit curve, x² - In line at (1,1). In () = 1, Write the linear approximation L(x)…

A: The given implict equation is

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A: The responsiveness of demand when the price changes is called the elasticity of demand is defined as…

Q: Find the slope of the tangent to f(x) = e" + 1 at the point (0,0).

A: Given that the function we have to find the tangent line at the point (0,0)

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A: The given power series .The aim is to find the radius of convergence and the interval of convergence…

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Q: Evaluate the integral fx² cos(4- x³) dx sin(4 — x³)+C O -sin

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Q: Find the point on the curve e +x where the tangent is parallel to the line y = x.

A: The given equation of the curve is  and the equation of the tangent line is

Q: elow, we see a region bounded by two curves. (graph not necessarily to scale)

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Q: A sports watch has a price-demand equation given by p = D(x) = 50.2-0.0567142x dollars, which gives…

A: I have appended the formula used in solution procedures

Q: Find the two solutions of the given equation z² + 6z+ 10 = 0. / in your answers should be positive Z…

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Q: Determine wheter the series diverges. if it converges, find its sum. n=1 4" +5" 6h Converges or

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Q: Fill in the blanks using the information given. Consider the series Then, an is [Select] Since n=1…

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Q: Evaluate this integral | √2 3 (1+x) + C √x(1 + x² ) 5 dx (1+x)³ +C 3 ○ 2 √ (1 + x ³ ) 6 + C Va 3 6 3…

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Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. in lim Σ 318…

A: To determine a region whose area is equal to to the given limit. To do not evaluate the limit.

Q: Consider the following. y 16 8 0 y = f(x) 8 O R6 16 (a) Use six rectangles to find estimates of each…

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Q: y=3in (2+x²)

A: y=3ln⁡(x2+2)dydx=ddx{3ln⁡(x2+2)}ddxln⁡x=1xChain Ruleddxf(g(x))=f′(g(x))g′(x)dydx=3x2+2ddx(x2+2)

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Q: Use Green's theorem for flux to evaluate the line integral F. û ds. F = (2xy, y² – x²) and C is the…

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Q: Sketch the region R bounded by the curves y = e, y = 1, and x = 2, and find the coordinates of the…

A: We have to find the coordinates of the centroid.

Q: f(x) = x2 + 2ax+ 2 si 4 si ba +1 si x≤-1 -1 <z <3 z≥ 3

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Q: The graph of the first derivative of p(x) is shown in the graph below. Use the graph to answer the…

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Q: With a programmable calculator (or a computer), it is possible to evaluate the expressions for the…

A: Given that the region under the curve  from The right endpoint sum

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A: The given function is

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Q: dy dx = general solution of :- - 2 Sec 3x tan 3 X

A: dy/dx=sec2tan3x

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Q: Question 2 Suppose an > 0 for n≥1 and lim Wan < 1 n→∞0 What can you conclude regarding 1 an? The…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Having wrapped up your last project, you begin to pack up when you see a text from Casey. They…

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 6 1 x + 2y + z = 7 3 Find the normal vector,…

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Q: Find the radius of convergence, R, and the interval, I, of the convergence of the series. n=1 (x -…

A: The given series is; Summation of (x-2) n sqrt(n)]

Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

A: As per the Bartleby guidelines, answering only first question.

Q: 4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000,…

A: Given cost function is

Q: Find horizontal asymptotes A) y = f(x)= x+3x-5 2x² + 3x³

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Q: Compute the electric charge on the surface which is the portion of the cone z = √√3x² + 3y2 in the…

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Q: Sketch (on your work paper) the graph of a single continuous function f(x) that meets all the…

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