d²y Find dx2 , if y vx – x /y = 9

Q: \sum_{n=1}^{\infty} \frac{n^{2}}{n^{3}+1}

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Q: Please answer showing ALL steps in the step-by-step solution using exact numbers! I am very confused...

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Q: Find the derivative

A: GIven:   h(t) is the rational function.  

Q: find 12. (x + y + z) dy dx dz –y² ¢2x+y 13. dz dy dx 14. V4-y²• kp xp zp -2-x-y •1 cl-x c4-x²-y 16. ...

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Q: S, f(x) dr may not equal lim , f(x) dx. Show that 2x dx x* + 1 diverges and hence that 2x dx ? + 1 d...

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Q: Prove the inequality b−ab≤lnba≤b−aa provided 0<a≤b.

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)   f ( t...

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Q: Test the series for convergence or divergence. 4" 3n + 7" n=1

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Q: Find the first and second derivatives of the function. y =Cos x2

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Q: y=√x2+2x+3

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Q: A box with open top is to be  constructed from a rectangular piece of cardboard with dimensions 14 i...

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Q: Use a graphing utility to graph the function and determine the slant asymptote of the graph analytic...

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Q: Evaluate the integral ∫lnx / x2dx.

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Q: Find any intercepts   y2 = x3 − 4x

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Q: Find the length of the curve over the given interval. Polar Equation Interval r= 2a cos e 4 4

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Q: Find the fifth derivative of  f ( x) = 3 x 3 - 7 x 2 + 6. Use correct notation.

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Q: Divergence Theorem for more general regions Use the DivergenceTheorem to compute the net outward flu...

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Q: A company has determined the demand and supply functions for a product are given by       p =  D( x)...

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Q: Find the points of inflection of the functionf(x)=3√x2(x+1).

A: Given:

Q: 1 V3 (a) Let t be a real number and let P be the point on the unit circle that 2 - 2' corresponds to...

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Q: I want an answer of question number 42.

A: Given: 1. f,g and h are continuous on [a,b]. 2. 3. To show: The area (A) of the region between the...

Q: Find the interval(s) where the fuction is concaving up and when it's concaving down for  f(x) = ex −...

A: Given function is,

Q: What are horizontal and vertical asymptotes? Give examples.

A: An asymptote is defined as a straight line that always approaches a given curve but will not meet at...

Q: 11a-11f please

A: Given: The tangent line equations are,

Q: Find the volume of the spherical cap of height h with the sphere radius r by usi integration methods...

A: The equation of sphere with radius r is x2 + y2+ z2 = r2. Thus, x2 + y2 = r2- z2 Thus the above equa...

Q: find the general solution to the given Euler equation. 1.x2y′′ - 5xy′ + 10y = 0 2. 4x2y′′ - 4xy′ + 5...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Improper Integrals Determine if the following integral converges or diverges. If the integral conver...

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Q: I want an answer of question number 1. as u have told u can only answer 3 subparts. i want an answer...

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Q: Estimate the slope of the line from its graph.

A: As given the graph, The coordinate point in the downward y-axis is yo=-1. The coordinate point in th...

Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x, f(x)...

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Q: Use differentials and the graph of f to approximate    (a) f (1.9) and (b) f (2.04).

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Q: Maximizing a double integral What region R in the xy-plane maximizes the value of /| (4 – x² – 2y²) ...

A: Given double integral is maximum in xy plane, if

Q: The volume of a cube is increasing at the rate of 2 cubic inches per minute. How fast is the surface...

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Q: Use implicit differentiation to find an equation of thetangent line to the curve at the given point.

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Q: Graph the lemniscates. What symmetries do thesecurves have? r2 = -sin 2θ

A: Check the symmetry of the curve along x-axis. Set as . Check the symmetry of the curve along y-axis...

Q: DEFINE Centroids

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Q: Find the following limits, state any theorems used please. •12a-c please

A: To solve Part a, b and c

Q: Find general solutions of the differential equation        2xy'+y^3e^(-2x)=2xy

A: Rewrite the equation. Multiply the equation by 1/y 3 . Let 1/y 2 = t . Differentiate both sides wi...

Q: 4ー

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Q: show that y=a+Ce^(k(1-b)t) is a solution of the differential equation  y=a+b(y-a)+(1/k)(dy/dt)  wher...

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Q: For the function f(x, y) = (cos x)ey +v 1 + x + y. %3D Show the process of using the linearization o...

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Q: 6. 6. lim t-0\tV1 + t t.

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Q: Finding potential functions Find a potential function for the conservativevector fields.a. F = ⟨ex c...

A: Given that, F = ⟨ex cos y, -ex sin y⟩ We know that there exists a function f such that, Thus, Now...

Q: verify that the given differential equation is exact and then solve it      (2x+3y)dx+(3x+2y)dy=0

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Q: Find the area of the region bounded by the graph of f(x)=sin x and the​ x-axis on the interval [−3π/...

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