= Find the arc length of the curve defined by the parametric equations x (t) Round your answer to the nearest hundredth. Provide your answer below: S≈ 5e2t and y(t) = 3e³t from 0.7 ≤ t ≤ 1.5.

Q: What are the cylindrical coordinates of the point whose spherical coordinates are (p, 0, 0) = (3, 1,…

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Q: Using the parametric differentiation find dy, if x = 9t², y = 5t³ O 0.83t O 1.11t O 2.70t O 1.39t…

A: x=9t2 ,y=5t3

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Find the domain of f(x)= Mostly sunny x|x€Rx‡¬ √10} 00 x|x€R_x#√10} Ox|x€R¸x*-√√10, 10}…

A: a2 - b2 = (a - b)(a + b)  and 10 = (10)1/2(10)1/2

Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. 1- 0.5- x =…

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Q: 1. Determine the intersection (if any) of the following planes. Show your work clearly and be sure…

A: (a).The given planes are:π1:  2x+y-3z=5π2:  3x+4y+3z=6

Q: Given the function f(x) = 3, compute the left-endpoint (Riemann) sum using n = 4 on the interval…

A: Given functionf( x ) = 1x2 + 3n = 4 interval = [ -2 , 2 ]

Q: A ternary digit is either 0, 1, or 2. How many sequences of eight ternary digits are possible…

A: A ternary digit is either 0,1 or 2

Q: Construct a function that passes through the origin with a constant slope of 1, with removable…

A: This type of discontinuity can be removed just by defining f as that limₓ→ₐ = f(a) Here we have…

Q: A manufacturer of corrugated metal roofing wants to produce panels that are u = 24 in. wide and 2…

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x = csc t, y = cott, 0 < t < T

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Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

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Q: 1. Find the following for the function f(x, y) = 3x³y² — 5x + 26y - 9. a. f(1,2)= b. fy(x, y) =

A: To find the following for the function fx, y=3x3y2-5x+26y-9. (a) f1, 2=? (b) fyx, y=?

Q: = α; Suppose that Σ = 5 and Compute the following sums. 120 (a) (ai + b₂) i=1 120 = 120 (b) Σ(-16a,…

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Q: Find the relative maxima and relative minima, if any, of the function. Otherwise, answer none.…

A: Given the function is: g(x)=x3-6x2+4  we have to calculate the relative maxima and minima for this…

Q: Please describe the answers step by step since it is difficult to figure it out since the answers…

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: The give function fx=5x4-4x5, F0=8. We have to find the antiderivative function F. Use the integral…

Q: Evaluate. 6 S ( 32 - 9e¹x + 20.1). ge4x dx

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Costas and Sheila bought a raffle ticket for a charity. The grand prize is $1000.00. Costa…

A: Costs and sheila bought a raffle ticket for a charity. And the grand total prize is $1000 Costa…

Q: Find (6x²-7x+4) dx

A: let  B=∫(6x2-7x+4)dxwe know→(i) ∫xndx=xn+1n+1+c

Q: IJ 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 2 3 4 Left endpoint Riemann sum for y = 2* on [0, 3]

A:

Q: Consider the family of functions given by: f(x) = 5x - 5A³In(x) where A is a nonzero constant.…

A: We need to solve function problem.

Q: Find the volume of the pyramid with base in the plane z = −7 and sides formed by the three planes y…

A: Here we have to use the concept of triple integration

Q: Let f(x) = √x + 6. Calculate the difference quotient f(10+h)-f(10) h h = .1 h = .01 - h=-.01 h -.1…

A: Let fx=x+6

Q: Evaluate the following double integral: Jxy da where the region D is the triangular region whose…

A: Here we have given a double integral. ⇒∫∫Dxy dA over the triangular region D with vertices (0, 0),…

Q: The future value that accrues when $700 is invested at 7%, compounded continuously, is S(t) =…

A: given  S(t)=700e0.07twhere t is the number of years

Q: 7. Part 2. Evaluate each definite integral using the Fundamental Theorem of Calculus, TT/2 a) (3e* +…

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Q: 1. Use the ratio test to determine whether the series -13 is absolutely convergent, conditionally…

A: The given series is: ∑n=1∞ en+1n 3n

Q: (Initial-value Problem) Find the function f(x) that satisfies 5 f(1) = 12 . √x Then, enter the value…

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Q: h Let g be the function given by g (a) = (²-5t-14) dt. What is the a-coordinate of the point of…

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Q: Suppose -1 [ f(x)dx = -6 and -1 [²9(x)dx = -4 and [ f(x) dx = 3, -1 (b) f(f(x) = g(x) dx -2 1,96…

A:

Q: Find the exact area of the region that lies beneath the curve y=7x−4,1≤x≤6.…

A: Here we have a straight line. Need to find the area under the curve. We will you integral to find…

Q: Find the area of the region bounded by the graphs of the equations. y = -x² + 10x, y = 0 Xx 166.67

A: y=-x^2+10x,y=0

Q: 3 Use implicit differentiation to find the derivative of y = 6xy where x=1 andy=3

A: The given function is:y3=6xy

Q: Using the parametric differentiation find dy, if x = 7t², y = 4t³ O 0.86t O 1.14t O 2.62t O 1.43t…

A: The given parametric equation is:x=7t2     and     y=4t3

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

A: We need to perform differentiation.

Q: Find the total area of the shaded regions. Ay 3- 2- 0- -1- 5 C... Q Q The total area of the shaded…

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

Q: 13. Find a differential equation whose general solution is y=c₁e²t + c₂e-3t

A: The given general solution is:y=c1e2t+c2e-3t

Q: Find the average value foff between a and b, and find a point c, where 9. f(c) = fave f(x) = √√- 4x…

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Q: 6. Find the net signed area between the f(x) and the x-axis: 6 √(3 - 1x - 31) dx (Hint: Graph f and…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  now we need to…

Q: Use partial fractions to find the area of the given region. 7 y = -1 16- +² y 3 2 1 J. 1 2 3 4 X

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Q: Find the critical points of the following function. f(x)=x²√√x+18 Select the correct choice below…

A: d(u.v)/dx = u.d(v)/dx + v.d(u)/dx

Q: Find a potential function for F. F 8xi + y 3-4x² 2 V -j {(x,y): y > 0}

A: The given conservative vector field is:F=8xyi+3-4x2y2j        (x, y): y&gt;0

Q: Find the derivative of the function. f(t)= 1 8t-3

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Q: Find the area of the surface. The helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v)…

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Q: Find the volume of the solid that lies within the sphere x² + y² + z² = 81, above the xy plane, and…

A: We need to find volume.

Q: Evaluate the integral by changing to cylindrical coordinates. √4-y² √4-y² [1 5 x² + y² xz dz dx dy

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Q: 1. The series meets the conditions to use the ratio test, and lim 11 00 A. M8 an converges n=1 B.…

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