Find the area of the surface. The surface with parametric equations x = u², y = uv, z = z = 1/v²,0 sus 2 Osu≤ 3,0 ≤ vs 3.

Q: 16. f(x) = x², -1<x<2

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Q: Find fina x=ė dy dx d'y dx 2 y = te=² find which values of + 11 is convave he would.

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Q: 35. f(x) = X 1-x² 5; a=0

A: f(x)=x/(1-x2)  We have to find power series of f(x)

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = xe¹² |

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Q: A. Sketch the region enclosed by the given curves and decide whether to integrate with respect to x…

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Q: Find tangent Points on is vertical X = + ²-3 + the horizontal tangint = vertical Fangent Curve where…

A: The equation  of curve x=t3-3t,y=t3-9

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Q: Find the solution to the system of equations: X - 2y + z = -8 y + 2z = -2 x+y+3z=-6 X || y = 2 =

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Q: In(x²) lim 2--00 è-2 -x

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Q: 2. Find the equation of the place that pusses + through the point= (-1,2,1) Contains the line of…

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Q: A balloon is rising vertically over a point A on the ground at the rate of 15 ft/sec. A point B on…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3 Calculate the integral (6x² + 2). √x³ + x dx by u- substitution.

A: ∫6x2+2·x3+xdx

Q: Find the arc length L of the graph of r(t). r(t) = t³ i + t j + = √√6t² k, 3 ≤ t ≤ 8 L =

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Q: Find the equilibrium point for a product D (x) final answers to 2 decimal places. The equilibrium…

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Q: Evaluate the line integral SF. dr, where F(x, y, z) = -3 sin(x) i + 3 cos (y) j - 4xzk and C is…

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Q: Let g(x) = =Rt) dt, where f is the function whose graph is shown. x= y x = f(t) Aso 16 24 32 (a) At…

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Q: Use the intermediate value theorem to show that the polynomial function has a zero in the given…

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Q: If ƒ(x) = (6x² – 3)¹, find: f'(x) = ƒ''(x) =

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Q: Find radius and interval of convergence for follwoing power series: ∑∞ n+1: (n/n+1) * (x-1)^n

A: To solve the following

Q: Calculate teh area and of the surface obtained by the rotating of the curve of the follwoing…

A: Given: f(x)=x+3, 0≤x≤1 We are required to: Calculate the area of surface obtained by rotating the…

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. u = i+ j+ k v=j+k

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Q: A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis).…

A: u = The initial velocity (ft/s)a = acceleration of the ball (ft/s2)s = distance travelled by ball…

Q: Find the value of f'(4) when f(x) = x³/²+2x¹/2 1. f'(4) = 5 2. f'(4) = 4 3. f'(4) = 6 4. f'(4) 5.…

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Q: Find the derivative of x4 12 1. f'(x) 2. f'(x) 3. f'(x) 4. f'(x) 5. f'(x) 6. f'(x) f(x) = = = x8 +1…

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Q: In the curve 2+12x-x, find the critical points. (2,18) & (-2,-14) B C. (2,18) & (2,-14) (-2,18) &…

A: Given that the curve  2 + 12x - x3. We find critical points.

Q: Find the derivative of the function. 3 = (3²² + 5)² y' = y = Additional Materials eBook X

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Q: Calculate the integral and show work: ∫ (dx)/(x^2 * √(x^2-4))

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: y=-x^2+4x+3 y=x^2-6x+11

Q: If they exist, find the x-intercept(s) of the function f(x)=2 x²-7x+12. O (-3,0), (-4,0) Of(x) has…

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Q: 4. limit= -1 5. limit 3 6. limit does not exist

A: f(x)=(6x-4tanx)/sin(2x)

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Q: If g(x) = fª f(t) dt, what is g' (4)?

A: If g(x)=∫0xf(t)dt .Then,g'(x)=ddx∫0xf(t)dt=f(x)ddx(x)-f(0)ddx(0)=f(x)-0=2x+1 Hence, g'(x)=2x+1 .

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: Evaluate the following limits 5x4( − 1) X lim x→∞ 4x² (2x³ - 7) 1 x² – 3x6 lim xxx² + 2x³ +5 x² - 3…

A: or =5/8

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Q: What formula would be used to calculate the left rectangle approximation of cos x sin x dx using…

A: △x=2-05=0.4Endpoints0 , 0.4 , 0.8 , 1.2 , 1.6 , 2

Q: Consider the sequence 1, 7, 13, 19, . . . , 6n + 7. (a) How many terms are there in the sequence?…

A: Sequence, 1, 7, 13......upto (6n+7).

Q: Question 2. V1 V₂ V3. (1,1,0). x,%2 a) Find the parametric equations of the line passing through…

A: First find the direction vector then use this to get the parametric equation of the line.

Q: 3-2 + 읊 =)" = 32 + I

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Q: use integrals to find the area of the triangle given by the following vertices (2,0)  (0,2)…

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Q: The tangent to the function y = cscx at x = area of the triangle. #4 and the x- and y- axes form a…

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Q: The average cost function for a particular business that sells toys is represented by 4(x) =…

A: The average cost is, Ax=64x+530x

Q: Find the general solution of the given equation. y"-y' - 12y=0 Choose the correct solution below. c,…

A: Short Explanation::-

Q: Find the slope of the line tangent to curve y = x³ - 2x +1 at x = 1 A. B. C. D. 1 1/2 1/3 1/4 Give…

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