An integral expression for the area of the surface generated by rotating the curve X =Vy , 1sys8 about the x-axis is 2 TTXV1+3x4dx 2 TIXV1+3x² dx 4 2 TTXV1+9x*dx 2 TxV1+9x? dx

Q: Find the dot product of x = 5 and y = 0 x.ÿ= 2 ི ༠༠

A: Step 1:Given to find the dot product.For vectors of form ⎣⎢⎡​x1​x2​x3​​⎦⎥⎤​ and…

Q: Find the area between the curve y=x3-6x2+8x and the x-axis. Graph it

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Q: Suppose a cut is made through a solid object perpendicular to the x-axis at a particular point x.…

A: Given that a cut is made through a solid object perpendicular to the x-axis at a particular point x.

Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

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Q: Find the dot product of TH x = and y = 3

A: To find the dot product of two vectors, you multiply the corresponding components of the vectors and…

Q: Find the change of variable x = Py that transforms the quadratic form xTAx into yTDy as shown 2x? +…

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Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

Q: The shape of y=sqrt(x) that is reflected across the origin, then shifted left 7

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Q: Find the function f(x) described by the given initial value problem. f"(x) = 3 sin x, f'æ) = 3, f(1)…

A: The objective is to find f(x), find the area of the region encloses by the parabola and the x-axis.

Q: Find the larger area formed by x² + 3y² + 7x = 3 and 2x² – 6y = 5.

A: Integration of function expression under certain limits give the value of area between function…

Q: Calculate (4x² + Se) dy, where C is the triangle of vertices (0,0), (2,0) and (2,2). [(4x²+ Note:…

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Q: Use the substitution u = x² and the equation of a semicircle to evaluate 4XV4 - x* dx.

A: Given the integral  I =∫024x 4-x4dx To evaluate the integral :- Using the substitution,  u = x2  du…

Q: Give the coordinates of X-intercept for the line Y = 2(x – 1) + 7.

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y=x and y=2-x…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Draw the image of quadrilateral ABCD under the dilation with scale factor -0.5 and center of…

A: Let (x,y) be a vertex of the figure.Translate so the origin becomes center of the dilation (1,2),…

Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: the area between the region y=f(x) and ==g(x) on the interval [a, b] Let us assume that…

Q: Find the distance d between the two parallel planes x + 2y 2z = −2 and x + 2y = 2z = 1.

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