Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x) = 22 +2 for 0

Q: How many people only take a cruise for vacation?

A: Solution

Q: Let / be the line described by the Cartesian equations • X=1 y-11= 2(z-8) Let , be the line…

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Q: 9. A cutting plane passes through a right regular hexagonal p an area of 18.5 square inches, find…

A: Solution :-

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. (2) lim tan 7n…

A: Definition of the definite Integral

Q: (c) It turns out that you cannot express that integral in terms of functions you learned so far. So…

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Q: Which of the following is not a measure of dispersion in a set of data? O standard deviation O…

A: Remark:  A measure of dispersion for a data set helps us to know about the spread of the data set.

Q: Two statements are given below. Select the statement for which a ratio of the measurements is…

A: In statement given, 1)The fertilized grass grew 2.9 inches in a week, were the unfertilized grass…

Q: 3. Let A be a square matrix, and that k1, k2 and A are scalars. Show that if Av = Xv and Aw = Xw…

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Q: Express the circle specified by ?=2cos(?)?=1+2sin(?) y=1+2 sin(?) inin Cartesian coordinates and…

A: Equation of a circle with radius r and center (h,k) is  (x-h)^2 + (y-k)^2  = r^2

Q: y" – y' – 2y = sin 3t y(0) = 1 and y'(0) = -1

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Q: dz dz and ду Suppose z is a function of a and y, and tan Vy² + x² = 2e6y. Solve for

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Q: Let n be a positive integer and f (n) = -53n109 – n51 + 53. Then f (n) is O(logn) the above. None of…

A: Correct answer is O(n^110).

Q: Consider the following two matrices 1 1 1 1 7 1 7 0 0 A = 0 1 0 -2 В — 0 0 1 10 0 0 0 1 Select one:…

A: Answer is none of the others.

Q: Solve the differential equation (xcos(xy)+2y-3)+ycos(xy)+1=0 dx

A: Solve the differential equation, using exactness

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A: Green's Theorem Let us consider the vector valued function F(x,y)=P,Q Then the line integral ∫CF·dr…

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) = x2 + ax + B with…

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Q: A planet P in the xy-plane orbits a star S counterclockwise in a circle with radius 10 units,…

A: Given, A planet P in the xy-plane orbits the star S  in a circle of radius 10 units, completing one…

Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to r + y…

A: Solution :-

Q: Give an example where the statement: If U and V are vector subspaces of Rn, then U ∪ V is also a…

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Q: es solution of differential equati

A: Given,          ∑n=0∞(x-2)nn!

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) e* eN = e4…

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Q: Eliminate the arbitrary constant on the given equation: y = C1x2 + C2e O (2? – 2a) y" + (x² + 2) y –…

A: Given equation is  y=C1x2+C2e-x      ........(1)

Q: Which of the following statement is true for the alternating series below? 5" +3 n=1 Select one:…

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Q: Consider the function f(x) = x2+1 (c) Find the intervals of concavity and the points of inflection…

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Q: Prove that the number V7 lies between 1 and 2.

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Q: az and dx dz Suppose z is a function of z and y, and tan Vy2 +x² = z*e®y. Solve for dy

A: The partial derivative of a multivariable function with respect to a variable is the derivative of a…

Q: For the following function, find its inverse. f(x)= In(5x – 2) | a. f'(x)= (e* - 2)/5 b. f'(x)= (e*…

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Q: Q4: A- solve the differential equations: i- y"-2y'+y = e' ii- (x+1)y'+2(x+1 ! 2+1 x+1

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Q: Hello, you did not clear up my confusion in the question and the answer you put does not match the…

A: Any point in the polar coordinate system is represented by the point: r, θ. The polar form of the…

Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

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Q: of partial fraction y''+7y'+12y=0, y(0)=1, y'(0)=2

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Q: 2 Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to…

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Q: For the following function, find its inverse. f(x)= In(5x – 2) а. f'(x)= (e* - 2)/5 b. f'(x)= (e* +…

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Q: 2. Find the Taylor series for f(æ) = sin(2a) centered at 7/2. %3D Find the radius and interval of…

A: Solution

Q: Prove that the subgroup {o E S5 | o (5) = 5} of Sg is isomorphic to S4.

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Q: Determine whether the following functions have an

A: Given,        f(x)=x2-1

Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. If you…

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Q: (5) Solve the the definite integral (In(2))* dz indicating which integration techniques you are…

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Q: 5. Let {fn} be a sequence of measurable functions on E = [0, 1] satisfying Prove that the sequence…

A: Recall.   1: Triangle inequality for integrals.   2: if (a_n)^2 goes to 0 as n goes to infinity then…

Q: Prove that f(x) = (x – 1)2 + (x + 1)? is an even function. A function k(x) is an even function if…

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Q: Write 735 as a sum distinct powers of 2

A: 735 = 512 + 128 + 64 + 16 + 8 + 4 + 2 + 1 Now 512 = 29          128 = 27            64 = 26…

Q: (a) Sketch a graph of a function f such that: f' > 0 and f" 0 and f" > 0, for x > 3. (b) Does the…

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Q: Verify that the equation 2 – X² = sin x has two real roots, one near x = 1.5 and another near x = 1…

A: we have to find the real root for given function.

Q: Give an example where the statement: If U and V are vector subspaces of Rn, then U ∪ V is also a…

A: The given is: If U and V are vector subspaces of ℝn; then U∪V is also a vector subspace of ℝn.

Q: 1. Express E-1 k () 3* in closed form (without using a summation sign or ellipsis).

A: Please check the next step for detailed solution

Q: Determine the value of lim,→∞ 7x²+5 x²+3x+7

A: We have to determine the value of limx→∞7x2+5x2+3x+7.

Q: Let i denote the square root of -1. For the two complex numbers z = 3e and w = 6e' 3 find z. w. Give…

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Q: Consider the linear system -12 +x3 +x4 -2x1 +12 -2x3 = -7 3x1 -2x2 +3x3 +24 10 %3D Bring the…

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Q: x +1 x3 +1

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Q: Are the following series conditionally convergent, ab- solutely convergent, or divergent? Show all…

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