(b) ₁₂ (x − 1)(x + 2) de L dx - -2

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A: A detailed solution is given below.

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Q: Find the Fourier transform of (x) 3x iPxK1 O if|x1>1

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Q: whats next the pattern 6 13 24 51 142

A: whats next the pattern 6 13 24 51 142

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A: A function fx is continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(x)

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Q: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

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A:

Q: Evaluate the following. Show your complete solution. 1. S. 2³ dz ₂ S. 39 dy 3/4 2. 6 S. 3. dx S.…

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Q: Show that the function f(x, y) = 3x - 4y² is differentiable at point (−1, 2)

A: answer is in next step. please give a like !!!

Q: Cπ/2 sin² 3x dx

A:

Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

A: Given: ∫154xdx Solution: X 1 2 3 4 5 y=4x 4 22 43 2 45 h=1y0=4y1=22y2=43y3=2y4=45

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Q: Set-up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: IV. Evaluate: lim (x² + €¯²)(x-¹ csc csc z) z→0+

A: Given :limx→0+x2+e-xx-1cscx

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Q: 5. Use Cartesian coordinates to evaluate [[["² y² dV where D is the tetrahedron in the first octant…

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Q: 7. sech²(Inx) dx X

A: Let's solve given integral.

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A: tan2x=sec2x-1

Q: The equation P= 15 sin (2nt) +90 models the blood pressure, P. where t represents time in seconds.…

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A: On solving this we will get

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Q: F(x, y) = 6xyi + 3y²j is a conservative vector field.

A: Given :F(x,y)=6xyi+3y2j

Q: 13 By direct partial integration, Solve the following PDES s. 8²u ахбу = CEX COSysXu(X,t) Ex UCH, y)…

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Q: Evaluate the integral. a 6 dx ਚ 2 + a> 0

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Q: 1) (hu) 07h =hx solve d ШF СП

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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A: Topic = Trigonometry

Q: Problem: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800…

A: Let's find work.

Q: Solve each of the following systems of equations. Express the solution in vector form. (a) x+y+2z=4…

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Q: H.W: Evaluate the integral 30 1. [[(x²y = 2xy)dydx 0 (2x- - y)dydx 2m [[(sinx+cosy)dxdy 3. 5. 2. (x…

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

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Q: 4. Evaluate the double integral: L Lates y¹/3 x² 27 +1 (Hint: Change the order of integration to dy…

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Q: find the curvature of r(t)=⟨3t2, ln(t), t ln(t)⟩ at the point (3, 0, 0).

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Q: Let R be the region enclosed by the polar curve r (0) = 2 - 2 sin(0), as shown in the graph. y 1 1 R…

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Q: 8. Find the area in the first quadrant bounded by x = 0 using the most y=x², y = 2-x and appropriate…

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Q: The number of computers sold per day at a local computer store, along with its corresponding…

A: X        P(X) X. P(X) X-μ   (X-μ)2 (X-μ)2 .P(X)  0 0.1 0 - 2.2 4.84 0.484 1 0.2 0.2 - 1.2…

Q: True False questions. Only need to answer T/F. Answer "F" if the statement is not always true. Here…

A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

Q: 1. Find the area of the region bounded by the curve y=- 1+x² 2x² and the lines y = 0, y = x,x= 2.

A: First we draw the graph,