Set up the definite integral required to find the area of the region between the graph of y = – 23x + 143 over the interval – 1 < x < 2. 13 – x? and - - dx

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Q: find Fourier series an [o, 2] ○くxく下 f cx) = てくXく 2π

A: Solving

Q: 4. Under the usual addition 47Z/2021Z .

A: A detailed solution is given below.

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Q: 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2) = 6 3. F'(x) = 3x² + 2 ; F(-3) = -32 4. F'(x) = 4x³…

A: Apply integration both side with respect to x

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A: As per guidelines, I can answer maximum three subparts if a question. Since you have asked fot…

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Q: dx dy =

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Evaluate the following sums using summation formulas. 10 10 10 Σ b. ) k? а. C. k=1 k=1 k=1 10 а. k=1…

A: We have to evaluate the sum

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Q: Sketch the region enclosed by the curves and find its area. y = cos8x, y = 0, x = π/16, x = π/8

A: Given: y = cos8x, y = 0, x = π/16, x = π/8

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A: Use the washer method to find the volume of rotation of the solid.

Q: Use a double integral to find the volume of the indicated solid. 9. z = 9-2 y 2. y=2 4 X=4

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Q: Find the faur fourth root of (-16)

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Q: 4. Show that a b a +

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Q: Evaluate the iterated integral. SS 5x= dy dz dz = 0 0 0

A: Integration is evaluated by integrating first y then x then z.

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A: We have to find the surface area.

Q: Find V· (V × F), if F(x, y, z) = 7e*²i+ 6xe"j –- 6e²k. V·(V × F)

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Q: Find the solution of the following linear ODE given that y(5)=3 dy Зу = (x – 4)² х—4 dx

A: Use integrating factor for the differential equation.

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Q: Find the relative maximum and minimum values. f(x.y)=x +xy+y° 28y + 261

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) %3|

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Find dy dx 21) tan y = eX + In 4x eX + 4 A) - sin² y хeх + 4 B) - xcot y

A: Given;  tany=ex+ln(4x).

Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10+ 10 sin…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15 - =…

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Q: Consider the following planes. 3x + 4y – z - 56 x - 8y + 2z = 0 (a) Find the angle between the two…

A: Find the angle between the two planes..

Q: Assume the cubic function f(z) = ar+ b +cz+d, %3D has a relative maximum value of 3 at z =-2 and a…

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Q: Perform the indicated operation. Simplify if possible. b2 64 b+8 b+8

A: To simplify the given expression.

Q: Evaluate the line integral (4х + 5у)dx + (За — 6у)dy along the - curve C : x = 10 cos t, y = 20 sin…

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Q: Question The following telescoping series Σ en+1 en+2 - n=1 converges to e - 1

A: The given problem is solved below in detail.

Q: Evaluate the iterated integral. 5 cos(r + y +:) dz dx dy

A: We know that integration of sinx is -cosx + c  and integration of cosx is sinx + c.       Here i…

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Q: dy y+1 2.

A: Integrate as general

Q: If tan 0 = - n<0< , find the exact value of each of the following. 2 이 (a) sin (20) (b) cos (20) (c)…

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Q: uni vectors that stâtêd coi satisly th st cônditi NOTE: Enter the exact answers in terms of i,j and…

A: Given: u=-2i+7j

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Q: Evaluate the double integral f(r, 0) dA. -7 cos(0) r dr de 497 2 Sketch the region R. 7/2 A/2 6 2 4…

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Q: first octant 2 4- x+y dy dx -

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Q: -e elx

A: To evaluate: ∫ex⋅1−e2xdx  I = ∫ex⋅1−e2xdx Let, ex = t ⇒exdx = dt

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7,…

A: To find the directional derivative of the function at P in the direction of v.hx, y, z=xyz, P7, 2,…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Solving

Q: Find the exact arc length of the curve over the stated interval. 1 1 + from y = 1 to y = 3 NOTE:…

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