Question 2 < > Select all of the following tables which represent y as a function of z. I y Iy I y I y -1 -2 0 -3 -4 0 -2 1 1 1 1 6 6 7 8 8 2 12 11 13 14 117 62584 249 13 14 2 2 76 16 3472

Q: Find the area of the triangle formed by the functions using definite integrals f(x) = 2x+4 g(x) =…

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Q: 10. 11. 12. 13. 14. 15. - y = ²7 x − 8 As x 16. by Y by lim 25 2+6 LIMIT VALUE: lim #--1 LIMIT…

A: We have to solve above question  As per given bartleby guidelines we have to solve 1 question if you…

Q: Determine whether the improper integral diverges or converges. 00 x²ex dx 0 O converges O diverges…

A: Given query is to find integral converges or diverges.

Q: Find the critical point of the function, then determine if it is a local maximum, local minimum, or…

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Q: Evaluate the iterated integral. LP'&x+yaxay (x + y²) dx dy

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Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: 10. x*(lnx + 1)8** dx

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Q: Use the formula k(t) = = k(t) = ||r' (t) x r"(t)|| (t)||³ ||r' r(t) = t²i+t⁹j = to find k(t).

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Q: 4x+10 1. S (x-2)(x-1)² dx

A: Given integral ∫4x+10(x-2)2(x-1)2  dx

Q: du (u² + a²)² √

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Q: Use the properties of natural logarithms to simplify the expression. In(e) П

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Q: / x³ + x²+2x+1 (x² + 1)(x² + 2) dr

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Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

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Q: Decide whether the integral is improper. 1,01 In(x5) dx

A: We are asked to find whether integral is proper or improper

Q: Find a power series solution of the differential equation y' = 4y

A: We have to find power series solution .

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 7A…

A: Area of the Rectangle =(Length)(width). Perimeter of the Rectangle=2(length+width).

Q: using least cost method

A: The total cost using least cost method is Rs 284

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +3 1 = lim t+ (?, ?) 8t2 +9'2t

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Q: 1 (s² + a²) (s² + b²) a sin at + b sin bt a² - b² b sin at a sin br - ab (b²-a²) cos at + cos bt…

A: This question can be solved using the concept of inverse Laplace transform.

Q: 38. a10-49.5, a14 = -73.5

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Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

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Q: 1. Given the following matrices: A = 1 2 3 4] 24 6 8 1 3 5 7 -1 2 -3 4 a. [(AC)BT] - DT b. [(BD)…

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Q: 4. r(x) = 3x) (1 - x)(-/-)

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

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Q: A firm has the marginal-demand function D'(x) = D=11,000 when x = $3 per unit. The demand function…

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Q: csc(x) cot(x) 2-csc(x) a. b. In(2-csc(x)) + C O c. -2 In(2-csc(x)) + C O d. In(2-csc(x)) + C dx…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: An isoceles right triangle with legs of length s has area A=1/2s^2.  At the instant when s=sqrt 32…

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Q: [18x² √6x³ +5 dx 3 ○a. — (6׳ +5)³/4 + C b. (6x³ +54/5 + Oc.5(6x³+5)¹/5 + C d. 5 Od (6x³+5) ³/4 + C…

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Q: дz State the multi-variable chain rule for du z=z(t, s), t=t(u, v, w), s=s(u, v, w) if

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Q: x²-3x - 7 √(x² + x + 2) (2x - 1) dx

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Q: Write an equation of the form y = a sin bx or y = a cos bx to describe the graph below. → 2- प्र 3 n…

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Q: b) Determine whether the series n=1 find its sum. Show All Your Work! n-l is convergent or…

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Q: Question 5 Find the derivative [f(x)]; f (x) = 3 ln (In (x²-3x + 5)²). O3(2x-3) ²-3x+5 3(2x-3)…

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Q: he equation of the line that passes through the point (-4,-2) and is parallel to the line y=4x-8 is…

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Q: Given the acceleration, initial velocity and initial position, find the position function r(t). a(t)…

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Q: The function f is defined as follows. 2x if -2<x<0 f(x) = x³ if x20 (a) Find the domain of the…

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Q: Find the volume of the solid generated when the region bounded by x = - sqrt(4y) . y = 4 and x= 0 is…

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Q: 1. What rule is applied in the following given? * Dx (-13) = 0 Power Rule of Differentiation Product…

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Q: The radius of the base of a cone is 6 inches. The slant height of the cone is 10 inches. Which is…

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Q: Consider the equation (a-y-2)dx + (x + y - 4)dy = 0. (a) Make a transform to reduce the equation to…

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Q: Describe the graph of the equation. r = 5 cos ti - 8 sin tj+ k O An ellipse in the plane z = 1,…

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Q: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

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Q: e 3 ₁ x³ lnx dx

A: Integration by parts formula:∫u.v=u∫v-∫u'∫v

Q: (-5,5) 14(x)=x²-19 9. f(-5) = (5)²-19 = 25 -19 - 6 b. lim x²-19 X→-5 = (-5) ² -19 = 25-19 C f(-5) =…

A: Let's find.

Q: 1 A tank with a capacity of 400 gal initially contains 100 gal of water with 50 lb of salt dissolved…

A: 100gal=Initial amount of water in 400gal tank50lb=Initial amount of salt in the tank1lbgal=salt…

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: A cat darts around a room chasing a ball. The cat first travels along the vector (-1,2) and then…

A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector &lt; -1, 2…