x2 C. y=- ,2 х*+2х-15

Q: Show that the following functions satisfy Laplace's equation dx? = 0. dy? f(x, y) = x³y – ry³

A: Given :f(x,y)=x3y-xy3

Q: Rewrite the following Cartesian equation as a polar equation using the variables r and 0. To input 0…

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Q: Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b).…

A: The given function is: fx or y=x+1x2+36   As we know that; To determine, x-intercept, we need to…

Q: Consider the functionf(x, y) = 1x2 – 3y subject to the condition x² +y = 9. Use Lagrange multipliers…

A: We have to find the critical points and maximum, minimum.

Q: dy 3y- + 4x = 0 dx

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Q: Solve the equation .11 y" + 3y' + 2y = x2

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Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: By using Lagrange multipliers to find the maximum and minimum values of f subject to the given…

Q: This equation is . .differential equation dy y2 dx ху Bernoulli O Separable O

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Q: Find the volume of the solid that results when the shaded region is 6 revolved about the indicated…

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Q: Write an expression for the nth term of the geometric sequence. Ther a = 6, r = 1 n = 12 2 an %3D…

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Q: Either show that the improper integral converges and find its value, or show that it diverges S* the…

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Q: Find the inverse of the function. f (x) = 14 + V5x – 5

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Q: 1 18 6 The sum is (Type an integer or a simplified fraction.) 1/2 1/6

A: Topic:- sequence and series

Q: (26) Denote the second Fourier sine coefficient on the interval [-L, L] by L A2 = / f(x) sin -L Show…

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Q: Find the absolute maximum and minimum values of f(x) = e * – 3x on [0,5].

A: f(x)=ex-3x Take derivative wrt to x f'(x)= ex-3

Q: answer

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Q: Determine the equation of the tangent plane to the surface z = cos(x + 2y) at the point (2,-1,0).

A: Tangent plane to f(x, y) at (x0, y0) is given by below:

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

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Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.

Q: Find the limit.

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Q: Find the area of the "triangular" region in the first quadrant that is bounded above by the curve y…

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Q: Pers 81. Let R be the region in the first quadrant bounded by the y-axis, the x-axis, the graph of y…

A: We have to find the volume of the solid.

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

A: We have to answer following Questions.

Q: dr J. (z+1)?

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Q: This equation is.. differential .equation dy y2 =x² + dx %3D ху Bernoulli O Linear O Homogenous O…

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Q: Evaluate the integral by choosing a convenient order of integration: x cos(ry) cos (Tx) dA; R= x (0,…

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Q: Given the following functions: f(x) = cos(x) g(x) = x7 + 1 d d Find f(g(x)) and g(f(x)). (Use…

A: Given the following functions: fx=cosxgx=x17+1To find ddxfgx and ddxgfx.

Q: e angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is…

A: we have find the reference angle then sine and cosines of both. here i am giving my handwritten…

Q: Show that the lines L1 : x =1- t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

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Q: ICLO-1) Three players (Ady, Brenden, and Cara) are sharing a pie that is worth $15. Suppose that the…

A: This is a problem related to percentage. Based on the general formula and concepts we will answer…

Q: Find the sum of this arithmetic series. 6. 2 (5)- 1) j= 1 6 E (5j – 1) = j = 1 (Simplify your…

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Q: 8. 3. xp-

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Q: (-3,-).* Plot the point whose polar coordinates are (-3, . In the graph below, use the options to…

A: Given problem:- Plot the point on graph whose polar coordinates are (-3, -π/6)

Q: Find the inverse of the function. f (x) x+5 x+12

A: Inverse of function

Q: Use the Two-Path test to show that the following limit does not exist. (Use y=x2) lim (x,y)→(0,0)…

A: Using Two-Path test we will evaluate.

Q: Set up the definite integral required to find the area of the region between the graph of y = r - 11…

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Q: circumference C of a circle is a function of its radius given by C (r) = 2r. xpress the radius of a…

A: Topic:- function

Q: "Suppose w =+, x = cos² t, y = sin? t, z = dw Evaluate at t = 3, by using the Chain Rule dt

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Q: Find a formula for the nth term of the arithmetic sequence. a = 20, d = 7 an

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Q: ) Find of the implicit function a? + 5xy + y? – 2x + y – 6 = 0 at the point 1. . (1, 1).

A: Topic:- derivatives

Q: stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

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Q: 2 2 Find the sum of the series E Vn +4 yn+5 n= 1 The sum of the series is (Type an exact answer,…

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Q: Find the average value of f(x) = 14 – |x| over the interval [ – 14, 14]. fave

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: Express the Cartesian coordinates (-3,1) in polar coordinates in at least two different ways. Write…

A: We have to convert in polar coordinates.

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – the…

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Q: dy 3y– + 4x = 0 dx

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Q: Se* tant e*dx

A: This question can be solved using the concept of indefinite integral.

Q: Write an expression for the nth term of the geometric sequence. Then find the i a, = 8, r = n = 10…

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