Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y = 0. (0,4) (1,3) R (c) Use the WASHER METHOD to set up a (sum of) definite integral(s) that is equal to the volume of the solid generated when R is revolved about the line x = 2. (-2,0) (-1,0)

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Given ,            f(x) =    0           ; -π2&lt;x&lt;0cosx       ;       0 ≤ x&lt;π2 (.)  Fourier…

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A: First we derive the vector equation of plane.    The perpendicular distance is the projection on the…

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A: Given : (a) f(z) = x2+y2 + i 2xy            (b) f(z) = z-(2+i)2 To find :  To determine the region…

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Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 an empty set.

A: The set will be empty if there is no trace for this quadratic equation.

Q: Solve the differential equation using modified Euler's and 4th order RK method lnx(dy/dx) + y = cot…

A: We can solve this using 4th order RK method and

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Q: Determine the Fourier transform of the given function: t, 0 < t < 1 0<t<2 f(t) = 2t - 1, 0,…

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Q: 4. Six different groups of children would like to visit the zoo and feed different animals. (Assume…

A: Given: Six different groups of children would like to visit the zoo and feed different animals.…

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Q: ✦ x − ¹ ₁ − (x − ¹)²¸ 2 (x − 1)³₁ −6 (x − 1)ª 24 (x − 1)5 + + + + + 3! 5! 720 (x − 1)² −5040 (x −…

A: Taylor series of f(x)

Q: Q1/ From the following table of values, find the approximate value of f' (1.5) ? 1.2 1.7 1.5 0.4055…

A: To Find: The approximated value of f'(1.5), Using the given table of values.

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A: Given:x29+y24-z216 = -1

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Q: Directions: Assuming that the angles are in standard position. Determine whether the given pairs of…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

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A: Correct option is option (a) 0.80155

Q: dx Find the value of the integral 14² by using simpson method (n = 6)? 를

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Q: Solve the differential equation y'(t) - 2y(t) = e2t; y(0) = 1.3. What is the value when t = 1.20?

A: Given differential equation is ,                             y'(t)-2y(t) = e2t   ;     y(0) = 1.3…

Q: If the volume of the region bounded above by z = a²-x² - y2, below by the xy-plane, and lying…

A: Please see the attachment

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Q: a is a positive integer. Explain your reasons clearly. (a) {a, 0, a, 0, a, ...} (b) { ₁. a + ² ₁ 0 +…

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Q: Find the inverse of the given matrix using Adjoint Matrix: 1 -1 0 0 -1 2 -1 0 0 -1 2 -1 0 0 -1 2

A: We know A-λI = 0 A-λI =    1-1   0   0-1   2-1   0  0-1   2-1  0  0-1   2-λ1000010000100001 = 0

Q: 1 (² 1

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Q: det (A) I I The following form cof(A) A = A-1 D O *¹ adj(A) A a O e. All incorrect O

A: cof(A)T (1/ detA) = A-1  ⇒cof(A)T A = (detA) A-1A (as, detA is scalar) ⇒cof(A)T A = (detA) I , where…