a. SET-UP only the definite integral using disk/washer method that will give the volume of the solid obtained by rotating the region bounded by y = 5 + √√x, y = 5, x = 4 about the (i) line x = -4 (ii) line x = 1.

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 0 -5 O A. O B. O…

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Q: below by y = x. Y 543-2 -NWA CO 1 2 3 4 5

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Q: EVALUATE THE FOLLOWING LIMIT a. lim sin3x x>0 ex-1

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Q: Find lim (x,y) →(3,0) 3x -y #9 √√3x-y-3 3x-y-9 by rewriting the fraction first.

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Q: (a) lim -√²+7. FIX (b) lim *-√² +7. BITK

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Q: Find aflax and aflay. f(x,y) = 2x²y af əx af ду || ||

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Q: Use substitution and partial fractions to find the indefinite integral. (Remember to use absolute…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= 4 x² + y²-1

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Q: Solve for differential equations undetermined coefficients, please step by step to analyce dont skip…

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Q: S dx (x-1)(x-6) || -ln |x-1| - ln |x − 6| 5 +C

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Q: Find a formula for the nth term of the sequence. - 1, 2, 7, 14, 23, ... Determine the sequence's…

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Q: A car starts driving at noon (t = 0) and drives at exactly 50 miles per hour until 4pm (t = 4).

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Q: • ff ₂ xzdS, where S is the part of the plane 2x + 2y + z = 4 Problem 4. Evaluate that lies in the…

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Q: Find the area under the graph of y = -x² + 4x on the interval [0, 2]. 1 4 3 2 1 ISH|| 5 4 3 -2 -114…

A: y= -x2+4xWe have to find area under the graph of y on the interval [0,2]

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. In 3 √(In 3)²-2 S…

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Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

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Q: Let f(x) = √√7x-1, g(x)=x²-36, and h(x) = (f + g)(x) domain (f + g)(x) = x-2 Find the domain of the…

A: The functions are:To determine: The expression and the domain of

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Q: 10. A light is mounted on top of a 16 ft tall pole. A man 5 ft and 6 in tall is walking away from…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 1 5 9 13 17…

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Q: dx Use the substitution x = 6 sec t to evaluate the integral -36 ſ Note: Use C for an arbitrary…

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Q: Rewrite the following integral using substitution: $_1 -dx (5-x)³

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Q: A bank pays interest at a rate of 7%. What is the yearly multiplier if interest is compounded

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Q: Find the limit. lim (x,y)-(49:49) 2 x+y #49 x + y - 49 √√x+y-7 O A. 7 OB. 0 O C. 14 OD. There is no…

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Q: Find of/ox and af/ay. f(x,y)=3x3 Зу ?x af ду 11

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Q: If f(x) = 4x, what formula will describe f(x)'s average value over the interval [-1, 3]? Don't…

A: We have,   Af(x) = 4x   Interval: [ -1 , 3 ]

Q: If g(x) = 8 + x + e*, find g-¹(9). g-¹ (9) =

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Q: Compute the values of dy and Ay for the function y = Round your answers to four decimal places, if…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to…

A: Explanation of the answer is as follows

Q: Q1// Find equations for the normal and tangent to the curve of sin(x²-x) y = x > at x = 1.

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Q: Find the limit. lim (x,y) → - (49-49) 2 2 x+y#49 x+y-49 √x+y-7

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Q: 39. f cos(1 + 5t) dt 41. √cotx esc²x dx 43.sinh²x cosh x dx 45. S 47. Scot 49. J S sin 2x 1 + cos²x…

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Q: If f'(t) = 2t², what is the formula for the total change of f(x) over [0, 3]?

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Q: Assume that the recursively defined sequence converges and find its limit. 63 a₁ = 2, an+1=2+ an The…

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Q: X 1/4 - 1/4 g(x) g'(x) f(x) f'(x) 3 -1/2 -2 1 7 2 1 3

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Q: What is the total change of f(x) if f'(x)= sin(x) from [0, πT ]?

A: For a given f'(x)=f(x) where f'(x) is the antiderivative of the f(x) and in the interval x=a to x=b.

Q: Integrate the function f over the given region. 1 f(x,y) = over the square 4 ≤x≤6, 4≤ y ≤6 ху

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Q: f(x,y) = 16x² + 4y² (a) Find the function's domain. Select the correct choice below and, if…

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