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

Q: Use double integrals to find the Moment about the x-axis of a thin plate which occupies the planar…

A: The planar region is:  0≤y≤8x ,         0≤x≤1Density at point (x, y) is given by:  δ(x, y)=3ex

Q: 2. Prove that lim √√n²+1² √√² +2² 2 + √₁² + n² = ln (1 + √²) +...+ (Use the Riemann definition of…

A: To prove that,  limn→∞1n2+12+1n2+22+...+1n2+n2=ln1+2

Q: Subject : CALCULAS     Determine whether the functions are inverses. f(x)=8x+2 g(x)=(x-2)/(8)

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Q: Solve the system. √3x + 2y = -6 x - 2y = -2 Your answer is X y =

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Q: Find the derivative of (x+1)³ X A. B. C. D. (X+1)² X (x+1)³ X 4(x + 1)² 2(x+1)³ X X 2(x+1)³(x+1)³ X…

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Q: Given the system of equations x+y+z=1 y-3z=-10 2x + y + 5z = 13

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Q: Find the compound amount and the amount of interest earned by the following deposit. $7,000 at 7.78%…

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Q: Find the compound amount and the amount of interest earned by the following deposit. $4,000 at 7.18%…

A: Given  p=principle amount =$4000 e = the mathematical constant approximately equal to 2.71828 r =…

Q: 15 Find the exact value of sin2t if tant = -18 where I LESTY

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis y = √2-x for…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  and the given…

Q: Evaluate the line integral in Stokes' Theorem to find the value of the surface integral points in an…

A: The force is: F→=x,y,z The equation of the ellipsoid,x216+y264+z2=1

Q: 4. Find dy at x = 3.0 of the function tabulated below dx X y 3.0 -14.000 3.2 -10.032 3.4 -5.296 3.6…

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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: Determine if converges or diverges: 1) Σ(net/n – n)" - n=1 2 Σ. n=1 3) Σ n=1 της cos (ηπ) In n

A: (1).    The given series is:      ∑n=1∞ ne1n-nn

Q: Find the equation of the vertical asymptote(s) of the function(x)=- x = 5 Of(x) has no vertical…

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Q: Given the two vectors a = i-2j+3k and b = 3i-2j+3k, Find the area of the parallelogram whose…

A: The vector a is given as a = i-2j+3k. The vector b is given as b = 3i-2j+3k.

Q: For each of the following vector fields F, decide whether it is conservative or not by computing the…

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Q: After drinking a cup of coffee containing 100 mg of caffeine, caffeine leaves the body at a rate of…

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A: We have to find the matrices P&D.

Q: Find the interest. Principal $1350 Rate 7.5% The interest is $ (Round to the nearest cent.) Time in…

A: Given data

Q: Find the equation of the horizontal asymptote of the function f(x)=+7 Oy=7 Of(x) has no Horizontal…

A: given, f(x)=x5+7x2

Q: 70 Simple Casseroles X → с Quick + Easy Cassero X 24 Biscuit-Topped Ca R RESULTS FOR: floral X The…

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Q: 1. At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the…

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Q: An oil company has a cylindrical drum with a capacity of 645 cubic yards. To construct this drum,…

A: Given Capacity of cylinder= 645 cubic yards. Cost of materials for the top drum is $13 per square…

Q: -3 -2 7 -1 8 90 2 6 5 4 fin LAS 2 NO My 1 12 2 -3 -4 -5 1 2 3 LAS 4 up 5 6 - ^ ^ ^ ^ ^ ^ A Write an…

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Q: If f(x,y)=xey²/2+204x²y³, then a5f 0х2дуз at (1,1) is equal to

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Q: Find the curvature of the curve (t) = (5 cos(2t), 5 sin(2t), 2t) at the point t = 0 Give your answer…

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Q: Evaluate: Lim X40 A. 0 B. 1/2 C. 2 D. -1/2 1-008x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Fritz Benjamin buys a car costing $10000. He agrees to make payments at the end of each monthly…

A: We have to find the monthly amount paid by fritz.

Q: Evaluate (1+x² + y2) dV, where E is the region bounded SSS E TL by the surfaces z = 6y2 - 9x2, and z…

A: I =2π ∫∫∫E ( 1 + x2 + y2) dV z = 6y2 - 9x2z = 6 - 15x2 The intersection of these surfaces,  6y2 -…

Q: If f(x) ƒ'(x) = f'(1) = = cos x – 5 tan x, then

A: Given that, f(x)=cosx-5tanx

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. =1 Co C₁= -(0)²…

A: We need to find the Taylor series for f(x)= sinx at x=π2. This can be evaluated as follows:

Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 274.5 – 2x and the…

A: Marginal Revenue function:  MR=274.5-2xMarginal Cost function:  MC=3.5x+16Fixed Cost:  330R(0)=0

Q: Consider the graph below of the function f(x):  Using the graph, what is the value of fˆ-1(2)

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Q: d Calculate [ri(t). r₂(t)] and 777[r1(t) × r₂(t)] first by differentiating dt dt the product…

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Q: *24 4 1 [ ²1 [ "^ ex² dx Jo Jy/6 Find dx dy. e+2

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Q: Find dy du dy du du' dx dy dx y=u52 and u = 4x r and Part 1 of 3 +5x²

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Q: The function f(x) = ln(1 − x²) is represented as a power series f(x) = Σno Chan. in=0

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Q: Find the slope of xy = 8 at the point (2,2). A. 2 B. -1 C. -1/2 D. -2

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: For the following exercises, given y = f(u) and u = g(x), find by using Leibniz's notation for the…

A: According to our guidelines, we can answer only three subparts of a question. Other parts can be…

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs about the line x…

A: To find the volume of the solid obtained by rotating the region enclosed  by the graphs about the…

Q: Find 4 A- 3B.

A: We know that the same order matrix addition or subtraction

Q: Find div F and curl F if F(x, y, z) = xz³i + 6y¹²x²j + 3z²yk. div F= curl F=

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

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Q: 40. y= sin x 2 + cos x

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Q: Evaluate the integral = [[₁, F I= for the vector field as shown in F.dS F = zi+2yj-zk when S is the…

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