Find the arc length of the following curve on the given interval. x= 12t³, y=18t², 0sts √3 The arc length of the curve is (Type an integer or a fraction.)

Q: Let R be the region between the curves x = 36- y² and x = y² - 36. (a) These curves intersect when y…

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Q: (a) √ (e² +2²) dz (b) f 3² dr

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Q: Solve the following initial value problem: with y(1) = 4. Put the problem in standard form. Then…

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Q: In reference to the following function:  f (θ) = (θ − 3) cos(θ) Write down an expression,…

A: use the polar curve to find the expression of the area.

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: This question is based on the general term of geometric progression.

Q: Integrate 3+22 Select one: OA. 7Inlxl + OB. 4inlxl + O C. 31nlxl + O D. 5Inlxl + dz + C + C + C + C

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Q: Solve the initial value problem: y'(x)=√-2y(x) + 35, y(-2) = 5

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Q: Integrate the given function (Handwritten) tan2x + 2x^2x

A: Here we use basic formula of integration .

Q: If the given sequence is a geometric sequence, find the common ratio. 4/3, 8/3, 16/3, 32/3, 64,3

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Q: O ди If u = f(x,y), x = g(w) and y = h(w), using Chain Rule, what is aw O ди aw ди Əw || O all of…

A: u=fx,y, x=gw and y=hw

Q: The value of the integral is: b 12 f(x) dx = a

A: Given that the graph of the function  To find the definite integral that represents the shaded area

Q: Find the area of the shaded region. (-11/4, 11/2) 10 y 8 x = y² - 6 y 6 4 -2 x = 5 y-y² 5

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Q: Integrate O √25 - 2² 2 ▶ X 25 - x² O. + C V6-ਏ 25 - x² 2 dx. +C 25 - x² + C 25 - x² + C

A: topic- indefinite integral ∫xn dx=xn+1n+1+C

Q: Find the first partial (a) derivatives of the function f(x, y) = x²y√√√y + 4y². (b) fxyx of the…

A: A two variables function f(x,y) is provided. We have to find the first partial derivatives and…

Q: Suppose your yearly demand for renting DVDs is Q = 20 − 4P.   If there is a rental club that charges…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is where q=number of…

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: 1. Find for 2³-y³+r²y = 10

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Q: X 1. Find 1- x³ 1– + 0 x + 1 lim

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

A: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. dy dx At 4, x…

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Q: Which of the following is dž for t = 1 if dz dt 2t Z = In(x²y³), x = e¹ and y = e²¹ ? Select one: O…

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Q: 3) Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

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Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Use the Limit Comparison Test to determine convergence or divergence. O 8 Σ n=1 O Select the…

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Q: Use an appropriate test to determine whether the series converges. k² +3 2 k + 3k +2 2k²+1 Σ k=1

A: The given series,        ∑k=1∞k2+3k+22k2+1

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Given: y=x316-12x

Q: Integrate fx Sx O cos(4x) dx (sin(4x) - x sin(4x)) + C cos(4x) + 4x sin(4x) + С (4x sin(4x) +…

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Q: Find a point on the ellipsoid x² + 4y² + z² = 30 where the tangent plane is perpendicular to the…

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Q: Complete the table by determining the amount of money P (present value) that should be invested at a…

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Q: Choose the normal vector of the tangent plane to the surface defined by at the point (-4, 2, e88). O…

A: Given problem:- Find the normal vector of the tangent plane to the surface defined by…

Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder…

A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…

Q: Use the Comparison Test or the Limit Comparison Test to determine whether the following series…

A: We need to choose correct option.

Q: The directional derivative of f(x, y) = -xe²y – x³y at the point (0, 4) in the direction of the…

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Q: If ` f(x) = x^4 + 7, g(x) = x - 1 and h(x) = \sqrt(x) `, then ` f(g(h(x))) `= __________________

A: If , f(x)= x4 +7 , g(x)= x-1 , and h(x)= √x  find , f(g(h(x)))

Q: Integrate I -dz Select one: O A In 1-¹-2²+√1 − x² + C I OB. 21n1-¹³+√1 − x² + C | OC. In 1-²+√1 = z²…

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Q: 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1, -1). 2. Find the…

A: Given :fx,y,z=lnxy-zx2

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Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³y³, P(8, 3),…

A: Here we have to find the direction derivative.

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i3j-k, find vector normal to A and In plane of A and, B.…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: f(x, y) = x²y + 4y and x = st, y = 2t - 3s. af and off. af Use Chain Rule to find ds Write your…

A: Follow the procedure given below.

Q: Integrate (2x + 5)(2² + 5x)² dr Select one: O A. (²+5x) + C OB. (2²+5x) + C OC. (x² + 5x) + C OD.…

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Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. 0 a b a 21…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile…

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Q: 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1,-1).

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Q: -1 0 -t³+1 2 3+² e dt

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Q: Get the interval and radius of conv this given power series (x - 3)" n

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