Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves about the given lines y=16-2², y=16, z=4; revolve about the line y = 16 OT 15 192 15

Q: P(x) = 2x² + 3x³ −17x² -27x-9

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Q: 8. min 3x1 + 4x2 + 6x3 +7x4+x5 2x1x2 + x3 + 6x4 5x5 6 x1 + x2 + 2x3 + x4 + 2x5 2 3 1, 2, 3, 4, 5 2 0…

A: given system min  3x1+4x2+6x3+7x4+x5         2x1-x2+x3+6x4-5x5≥6         x1+x2+2x3+x4+2x5≥3…

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Q: - Given the following two fuzzy sets: tall = 0.2/4.0 +0.4/4.5+0.6/5.0+ 0.8/5.5+0.9/6.0(in feet)…

A: Given that: Two fully sets, tall=0.24.0+0.44.5+0.65.0+0.85.5+0.96.0…

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Q: 2xdx J2 x²-4x+8

A: Solution :-

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A: Use the following simple interest formulae, to obtain the solution. Interest, I=Pnr100Total Amount,…

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Q: Find the F.T. of the fall wing Signals (functions) * (t) = 1 + cos ( 6π t + T ) 2T ans = F(W) = 2π…

A: Given function is f(t)=1+cos6πt+π8                        (1) Since we know that…

Q: 1. How many numbers less than 10,000 are not multiples of 2, 3 or 5?

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Q: If f(x, y) = 2x² + 5y² and u is the unit vector in the direction of T which of the following…

A: Given f(x,y)=2x2+5y2 u⇀ is the the unit vector in the direction of π6. So,  u⇀=cosπ6,sinπ6=32,12

Q: Find the solution of the given initial value problem: y"" + y' = sec(t), y(0) = 11, y′(0) = 5, y'(0)…

A: To Solve: The differential equation given with initial conditionsy'''+y'=sec(t) , y(0)=11, y'(0)=5,…

Q: 7) Two interconnected tanks are filled with brine falt water). At the first tank contains 60 liters…

A: Given that tank 1 contains 60 liters of brine and tank 2 contains 40 liters of brine and initially,…

Q: Find the F.T. of the fall wing Signals (functions) * (t) = 1 + cos ( 6π t + T 풍 ans = F(W) = 2T (W)…

A: Given function is  f(t)=1+cos6πt+π8          (1) Let f1(t)=1         (2) By dual property…

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Q: If u = and Vƒ (−2, 5) = 3u, then the minimum value of the directional derivative Du f(−2, 5) is…

A: " Since you have posted multiple question. we will solve first question for you. To get remaining…

Q: fsin(sin(x))dx

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Q: Solve a. ff(-12xy² + 8x³y + 3)dxdy b. ³₁(-12xy² + 8x³y + 3)dxdy

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Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

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Q: Assume that T is a linear transformation. Find the standard matrix of T. T 6 T: R² R², rotates…

A: We are to assume that t is a linear transformation which rotates points through π6 radians and we…

Q: Given

A: We solve by Gaussian Elimination method.

Q: Use a Maclaurin series to approximate f(x)=sin x on the interval never greater than 0.0001. so that…

A: Given function is f(x)=sinx Given interval is -π16,π16 or x≤π16 error≤0.0001

Q: 1. Find the laplace transform of sin(t)sin(2t) sin(3t), using est f(t)dt. F 1-4 3 1 r are. ².2.

A: As per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

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Q: Write out the first few terms of the series The first term is n=0 (-1)^ 6n What is the series' sum?…

A: We have to find the first few terms of series an it’s sum ∑n=0∞(-1)n6n

Q: Here is a copy of the previous problem: A university math department offers courses in College…

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Q: c) Use Taylor series expansion of f(x) = In(1 + cos x) given by 1 f(x) = In 2-x²- *** 1440 to…

A: c Given that the Taylor series expansion of the function fx=ln1+cosx is given by…

Q: Solve the given DE using 3 possible solutions: y' X 3 - 2y 3 3xy 2

A: Given DE  y'=x3-2y33xy2  …………………………(i) we can write it as dydx=x3-2y33xy2

Q: Find the Laplace transform of erfc (1/√t).

A: Given the function                   erfc1t

Q: Find the radius of convergence, R, of the series. xn R = 8 Σ n = 1 I = 1.3.5.... (2n-1) Find the…

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Q: The base of the solid is a square, one of whose sides is the interval [0, 7] along the the x-axis.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: Write TRUE if the truth value of the statement is incorrect, otherwise write FALSE.

A: Note: As a policy, we answer only three subparts. Please resubmit with those parts that you would…

Q: • f (x,y) = x ³ cscx + secy√ sinx cot y * finel fx, fxx, fy fyy fyx fxy

A: Given function is fx,y=x3cscx+secysinxcoty. We have to find the partial derivatives of the the…

Q: (i) (1, 1), (-6,0), (-2, 2), (-2,-8)

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Q: the jw2 (jw) ² x 120) = -1.e 20م + 2 + +2+ How did he get the yalue inside the circle ir

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Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 8 Σ n = 1 I = 10 Find the…

A: Here we use the root test to determine the radius of convergence and interval of convergence of the…

Q: Theorem: If P is the transition matrix from a basis B' to a basis B, then P is invertible and the…

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Q: Find the area of the vertical wall whose base is the semicircle {(x, y) | x² + y² = 1 and y>0} and…

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Q: A scientist is doing an experiment on the growth of the corona virus. He started the experiment with…

A: Introduction: The logistic growth model is one of the very realistic model to develop the population…

Q: 7. Prove that a permutation in S. n ≥ 2, cannot be both even and odd.

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Q: 2 Find the F.T. of the following Signals (functions) d. f(t) = 1 + 005 (6#+ + 7) C. f(t) = 35gn (3t)…

A: Given function is f(t)=3sgn(3t)-11+jt              (1) Let  f1(t)=3sgn(3t)                   (2)…

Q: Problem IV Consider the Ellipsoïd E:= = {(x, y, z) € R³ | ²+¹ +2²=1}. = Question 1 Let M (ro, yo, 0)…

A: Given- Consider the Ellipsoid E := x, y, z ∈ ℝ3 | x24 + y29 + z2 = 1 To find- Let Mx0, y0, 0 be a…

Q: A child psychologist is interested in the number of times, x, a newborn baby's crying wakes its…

A: We are given that PX≤1 or X=5=1450 So, P0+P1+P5=1450250+a+b=1450a+b=1250

Q: Solve the given differential equation by undetermined coefficients. y" + 6y = -294x²e6x ||

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Q: Let CR denote the circle z = Rei (0 ≤ 0≤ 2π). Show that lim R→∞ CR 2-4 (2² + 1) (2³ — 5) dz = 0

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Q: Describe the level surfaces for f (x, y, z) = y+10-√√x² + z² and sketch them for several (at least…

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Q: For what values of z does the series n²(¹3)" =1 converge? Find the sum.

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Q: Is the following questions below a NEVER TRUE, SOMETIMES TRUE, or ALWAYS TRUE. a.) The set of all…

A: The span of a set of vectors is the set of all linear combinations of the vectors.  A  set of…

Q: Consider the events Aand B such that P(AUB) = 0.7 and P(An B) = 0.4. Then P(A) + P(B) = O 0.7 0.6…

A: Given PA∪B = 0.7PA∩B = 0.4