(d) Find a vector function that represents the curve of intersection of the two surfaces: the xy cylinder x² + y² = 4 and the surface z = 4

Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.

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A: The integration of the integral is (8x+1)sqrt(4x-3).

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A: First finding the volume of original roll

Q: can you provide another clearer solution please

A: Explanation of the answer is as follows

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Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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A:

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A:

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A: Here we have to find the left sum of given function.

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A: Topic :- geometry

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A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

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A:

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Q: Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope…

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A: Let's solve diffrential equation.

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

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A: The equation of curve is given as , r=2-cosθ Find the area bounded by the curve.

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A:

Q: 5TT Convert the polar coordinate 9, 3 X = y = to Cartesian coordinates.

A:

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A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

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Q: dy Find the general solution of the differential equation: dt What is the integrating factor? µ(t):…

A: topic- differential equations

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: 1. Let f(x) be the cubic function graphed below and g(x) be the quadratic function graphed below.…

A: From the given graph of the region, we have to find its area

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A: lets here we use integration by parts rule  ∫xexdx here lets u = x v = ex  is good to substitute…

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A:

Q: } L 1 (s? +1)(s? + 25)

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Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: Simplify arcsin (-). KIO $0 11x 6 7x :|00

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Q: -10 5. Given the polynomial: 2x³ + 19x² + 32x - 21 A) List all of the possible rational roots: B)…

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Q: (d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of…

A: Question d and e has been solved as per the request of the student.

Q: (D³ - D² - 4)y = 0

A:

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

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Q: Question Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 2), and (3,…

A: Given problem:- Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 2),…

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Q: and A solid is generated by rotating a plane region that is bounded by the curves y = 2² = y about…

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Q: 12) Consider the following exponential function f, Given that f(x) = -616, what is the value of x?…

A: exponential function

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A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

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A: