a) Find the area of the region enclosed by the curves y = 12 – x² and y = x? - 6. Answer: A =

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

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A: Use relation ship between cartesian coordinate and cylindrical coordinates .

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A: As we know that; The expression for the distance from the given point Px0,y0 to the line…

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Q: 3. Let A and B be finite sets with |A| = m and |B| = n. a) How many functions are there from A to B?…

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Q: III. In each of the following, find r'(0): 1. T(t) = (2 – 3t)³ î – sin¯'(2t) ĵ – cos-"(2t) k 2. T…

A: find r→'(0)

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Q: VI. In each of the following, find the moving trihedral of the curve T (t) at the indicated value of…

A: As per bartleby guidelines we only give first question answers.

Q: 10. What should be the value of A so that S A• sin (6x²) dx = - cos(6x²) + C, ? A. x В. 2х С. Зх D.…

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A: In cylinder shell, volume dV = 2πf(x) x dx

Q: Consider the the curve y =(6x + 5)V6x + 5 from x =5 to x 11 a) Find the initial and terminal points:…

A: Consider the curve y=6x+56x+5 from x=5 to x=11.a To find the initial and terminal points.b To find…

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A: Calculate the cross product of two vectors and then find the magnitude

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Q: Use the limit laws to evaluate the limit. lim + - 2 7. X-7 Select the correct choice below and, if…

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Q: Find f. f"(x) = 6 – 6x – 60x³, f(0) = 2, f'(0) = 3 %D f(x) = %3D

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Q: 5 5 4 f(x) dx %3D 8 аnd 1 If f(x) dx = 3.2, find f(x) dx.

A:

Q: 4. If > Cn (T + 2)" converges for -5 < x < 1, find the radius of convergence of the series. n=1

A: The given power series is cn(x+2)n , n from 1 to infinity.

Q: 6x-7 4. S (2x+1)(4x²+1) dx In(4x² + 1) – 2 In(2x + 1) -Tan" (2x)| + C'

A:

Q: For the function p graphed in the accompanying figure, find lim p(x). y = 6(x) 4

A: As x tend to minus infinity, y approach to zero.

Q: H.W: find the local maxima, local minima, and saddle point of the functions: 4. f(x, y) = 2xy–x² -…

A: The given function is  f(x,y)=2xy-x2-2y2+3x+4.

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Q: 5): If A is a n x n matrix such that A0 = In, then %3D A is a nonsingular matrix. Select one: True O…

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Q: 5. Mark each statement as true (T) or false (F). No justification is needed. Assume that converges…

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A: The slant height of a right circular cone is 5 m long. The base diameter is 6 m. Radius =3 m

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A: Find your answer below

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Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) -2- 2…

A: Let's find.

Q: Find the formula for the function represented by the integral. (Use symbolic notation and fractions…

A: Use basic integration

Q: Use the ratio test to determine the radius of convergence.

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Q: dy Find if y = 4x° + 5x + 4. dx dy dx

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Q: 4/3 J48-x J64 -x² -y? +8 Let J= z dz dy dx - 4 /3 13 (x? +y?) (i) Express the integral J in…

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

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Q: Find the absolute maximum and minimum of the function f(x,y) = 4y² + 18x – 18 over the closed region…

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Q: 10

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

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A: f(x)=ln(x-9)Since f(x) is log functionIt is defined for all( x-9)&gt;0⇒x&gt;9

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Q: .     f(x) = a/x2+b2 B.      f(x) = sin(ax+b) C.     f(x) = (x-a)(x-b) describe the critical…

A: Solving questions