15. Find the volume of the solid generated by revolving y-axis, the area enclosed

Q: 1. Compute the following: f sin²(x) dx

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Q: 2 [ 2e sin de

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Q: ... suming that the total cost per day, C(x), is linearly related to the total output per day, x,…

A: Here  is given that fixed cost is $300 total cost =$5100 per day Output 20 boards

Q: olve the given differential equation. All solutions should be found. dy x - 2y dx X

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Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

Q: Find the E.I. of the following periodic signal -2 -1 1 2

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Q: (4,0,2) S sin y cos x dx + cos y sin x dy + 3 dz (1,0,0)

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Q: Find the determinant of the matrix by reducing A to a triangular matrix. A = -1 2 3 1 1 2 1

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Q: a)₁- b) [ : Evaluate the integral 3x - 1 (x + 4)(2x - 1) : Evaluate the integral dx x√x² - 64 6 c)…

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Q: Determine the area of the shaded region in the following figure. The area of the shaded region is…

A: We have to find area

Q: Find lim lim h-0 h-0 f(6+h)-f(6) h f(6+h)-f(6) h if f(x)=x² +7. (Simplify your answer.)

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Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

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Q: 1. Find the area bounded by y = 4x-x, x+2 = 0 and y = 4 using vertical and horizontal strip

A: Solution is given below:

Q: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

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Q: H III mmm WEDNE UNE CUNE . . ON 1 rs is equivalent to the yo

A: Given vector  Initial(0,0) Final(2,3) v= (2-0,3-0)= (2,3)

Q: In the figure, the equation of the solid parabola is y=x² - 7 and the equation of the dashed line is…

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Q: dy+2ydx=e-4x

A: dy+2ydx=e-4x⇒y=-12e4x+c1e2x

Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x − 7)² In²(y +…

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Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then…

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Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: Use substitution to find the Taylor series at x = 0 of the function In (1+5x²). What is the general…

A: Taylor series

Q: Apply Green's Theorem to evaluate the integral (-5y² dx-5x² dy), where C is the triangle bounded by…

A: greens theorem

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: 7/5 Find f'(x) if f(x)=9x5-5x² + 10000. O A. f'(x) = 63x6/5 - 10x 6/5 B. f'(x) = 63³x6 O c. f'(x) =…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)² +…

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Q: Which of the following is a vertical asymptote of the graph of f (x) = 0x=13 y = 9 O O x=9 O U || 3…

A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A:

Q: A tank has the shape of an inverted circular cone with height 15 m and base radius 2 m. The tank is…

A: We are asked to find work required to pull than water to the top of the tank.

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: graph is concave upward when f"(x)>0  and concave downward when f"(x)<0.

Q: 00 Σ (5 sec1(k+1)-5 sec -¹k) k=1 Sn= Select the correct choice below and, if necessary, fill in the…

A: For a series ∑an the sequence of partial sum Sn is just the sum of the series for first n  terms.see…

Q: tim п-х 2 (n-3₂²)

A: Given;  limn-infinity (n-3n2).

Q: For the given functions f(x) = − 9x², g(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ ƒ)(x) = (4)…

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Q: For f(x)=x4 - 2x2 +6 find the following. (A) f'(x) (B) The slope of the graph off at x = 3 (C) The…

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Q: Find each indicated quantity if it exists. Let f(x) = |x-18] . Complete parts (A) through (D). x-18…

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Q: Use the graph below to fill in the missing values. -1 4 3 2 1 -1 f(0) f(x) K = 1 2 3 4 f(x)=0, x=…

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Q: d dx 0.8 - - 3.4x^2 +6x)

A:

Q: Find dx О А. О в. 0 с. 16 X * - *$*). - X -20%√/x 16 4 X x5 55/4 3 5 16 OD. 3 х

A: Derivative  of [4/x4 -4 5sqrt(x)].

Q: Sketch the graph of the function by first making a table of values. f(x) = 1

A: This question can be solved using the concept of plotting of graphs.

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: f(x)=1/(3x+1), a=3

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Q: 12) Find the area Under the curve y = e = from X=0 to

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: If f (t)=tan³ (2πt), then f' (t) = Ortan² (2nt) sec² (2πt) Otan² (2nt) sec² (2nt) O 2π tan² (2πt)…

A: using chain re of derivative,

Q: Which of the following indicates that the graph of the function f(x)has a horizontal asymptote at y…

A: Solve the following

Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

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Q: Find the general solution of the following differential equat 121y" - 4y = 0 NOTE: Use c₁ and c₂ as…

A: Given: 121y''-4y=0

Q: Use the comparison test to determine if the following series converges or diverges. sinn 9/2 n=1 n…

A: We have to check the series

Q: dy What is if the function y = f(x) is implicitly defined by the equation 5x + 3y² = 4y + 2x² - 5?…

A: For implicit differentiation , both sides of the equation are differentiated simultaneously.

Q: Question 8 of 10 Calculate the appropriate limit to determine the equations of any horizontal and e…

A: