10 Determine the area above f(x)=x²+2x+3 and below the line y=11.

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (c) Determine the…

A: Here is the solution of the given problem.  To solve this problem we use simple concept of…

Q: Let L(y)=(x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by…

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Q: As you are walking in the forest you look up just as a boulder becomes dislodged from the side of a…

A: topic- algebra

Q: ds Find the complete solution of = 8t³ √√s. dt

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Q: y = (1+x)² 2 x² 2

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Q: Question 4 Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75

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Q: Find the volume generated by revolving the area bounded by x² - 4x - 4y + 4 = 0 and y = 1 about the…

A: To find the volume generated by revolving the area bounded by x2-4x-4y+4=0, and y=1, about the line…

Q: Using trigonometric substitution, A) None Ⓡ/ B Ⓒ D sec58d0 tan²0 tan40d0 sece * sinᎾdᎾ cosA Ss x4dx…

A: ∫x4(1+x2)32dxPerform trignometric substitutionSubstitute x=tan(θ)→θ=arctan(x)→dx=sec2θ dθ

Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: Find the area enclosed by r = = √2 sin 0 and r2 = cos 20.

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Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

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Q: 9 ▪C (1) = 5 + 77 + 71 1 10 13

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Q: Consider the function. x³ + 12 f(x) = X Determine the intervals on which f is increasing,…

A: A function f (x) is increasing on the interval I if f'(x) >0 for x in I. A function f (x) is…

Q: Find the distance from the point P(1, 2, −1) to the line passing through the points A(−2, −3, −5)…

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Q: 3 So² √(√₁² - ²√₁²³) ²³ a dt

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Q: Let The coefficient of x' in the Maclaurin series for f(z) is: Answer: . You may explain your answer…

A: Note that, the power series of ex is: ex=1+x+x22!+x33!+...

Q: For which of the following integrals should substitution be used, instead of Integration by Parts?…

A: Solution :option D substituition be…

Q: 3. The region bounded by the curve y=sec x, the x axis, the y axis and the line x=0.25pi is revolved…

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Q: Find the area of the surface generated when the given curve just sayin revolved about the x-axis.…

A: SOLUTION-

Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

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Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

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Q: 2x fe²x sinx dx

A: Using integration by part.

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: We first graph x2+y2-6y=0 and y=6-x using a graphing calculator.  The shaded region will rotate…

Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

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Q: Determine wether the sequence converges, or diverges. If it Converges, S(2n-1)! 2(2n+1)!S

A: We have to find sequence converge or diverge..

Q: Find the area of the surface obtained by rotating the given curve about the x-axis. Round your…

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Q: 1f S₁ (x+5) dx = Sº (x+5) dx = 14, then the value of b is equal to If A) None B 3 с 4 D -3 E 2

A: We have to find the value of b.

Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all x € (a,…

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 S₁749 dx…

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Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all f'(c)…

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Q: x-5 X-3+x-3' 31. Determine the lim A. 0 B. -00 C. +∞ D. does not exist

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Q: Consider the plane : x + 3y - 2z = 6 and the line with parametric equations l: x=4-3t, y = 2+t, z =…

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Q: (b) f is concave down on (-∞, 1) and concave up on (1, ∞). (c) lim f(x) = -∞ and lim f(x) = ∞. x-1-…

A: As per the guidelines we can solve 3 parts only

Q: In the quadratic equation Ax²+BX+C =0 The roots are real and distinct. The roots are complex…

A: The given quadratic equation is Ax2+Bx+C=0

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: ƒ(x)=3x² +6x−9

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Q: 3x + 2y = 6; x = 0; y = 0; axis OY. Find the moment of inertia.

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Q: Given: planes ¹: 2x - 5y+z=-1 and 2: x + 5y+z=5 intersecting on a line . (a) Determine the symmetric…

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Q: Evaluate the y' and Simplify the answers Inverse trigo functions y = √x² - 4 + 2arc(csc)

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Q: Given x = y²+2y 8 - In(y + 1), find the arc length for 0 ≤ y ≤ 2.

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Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

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Q: Consider the points K(-1,0, 7) and M(1, -2,5), the vector MN = (1,4, -3), and the line with…

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Q: 27. Which of the following function is continuous at x = 2? 2 2-3x A. f(x): = C. g(x)= = x-2 2-x…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: x² 1) Let f(x) (Figure 24). Verify the X 1 following: (a) f(0) is a local max and f(2) a local min.…

A: Since you have posted a question having multiple subpart part as per guidelines we can solve only…

Q: etan 4s | (cos (cos 4s)2 ds

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Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

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Q: Evaluate the following integrals. -1 L₁ (3²- (3x² - 4x−¹+2) dx

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Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

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Q: d dx sinh(Vx)=

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