Find the curvature and radius of curvature of the plane curve at the given value of x. 32 y = 9x, x = 4 X K= K II ||

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Use the power reducing formulas to rewrite sin²x cos²x in terms of the first power of cosine.…

A: Using the formulas of Cos(2x) and Cos(4x)

Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

Q: Find a plane containing the point (-1,-7,-8) and the line of intersection of the plan 6x + 4y + 4z =…

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Q: OS: Find the solution of the following D.Est 5y-x7 at x- 2

A: Note:as per guidelines we support only one question in one request.kindly repost next question in…

Q: The two vectors a = (-1,2,-4) and b = (2, -4,-8), are not parallel but are orthogonal. Select one: O…

A: Given vectors:- a=-1,2,-4 b=2,-4,-8

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A: Here i have find the answer upto 4 decimal place.

Q: Write the given expression as an algebraic expression in x. sin(2 tan-¹(x)) X

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (42³1 + (4t³i + 14tj…

A: We need to find integral.

Q: Find the curvature K of the plane curve at the given value of the parameter. (Give your answer…

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Q: 1 a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

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Q: y-axis about the y-axis 2. Rotate the region bounded by y = 2x², y = 8 and the y-axis about the…

A: Use disk method

Q: 50. Find the center of mass of the region bounded by y = x + 2 and u = ² - 4

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Q: True or False: We have Select one: True False -8 √xdx = 64 3

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Q: Q3/create a matrix A and 1- add fourth & fifth rows equal to [1 2 3] by using [1 2 3] A= 4 5 6 L7 8…

A: Here is the solution:

Q: The national debt of a South American country t years from now is predicted to be D(t) = 70 + 18t4/3…

A: Given that the national debt of a South American country t years from now is predicted to be…

Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 3 y…

A: y=8x13, for 0≤x≤18, about y-axis

Q: 16. A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x)…

A: We need to find P(x).

Q: Find the equation of tangent line for the curve f(x)=e³x at coordinate (0,1).

A: Given: fx=e3x

Q: Question [ a) [1 b)' 1. : Evaluate 6 1₂° ₁x + 2 ): If Show all your work. then find f(x). c) [ graph…

A: a)∫26 (x+2)x-2 dxLet    x-2 = z2      implies     dx =  2z dzx=2   ⇒ z =0x=6  ⇒ z= 2The integral…

Q: Use Green's Theorem to Calculate the Line Integral ſy²dx + x²dy, where c is the triangle o vertices…

A: Given that, the line integral is ∫y2dx+x2dy and the vertices of the triangle is 0,0,4,0 and 4,4. By…

Q: For any two nonparallel vectors a and b, it holds that Select one: O O O 3a + b 3a + b 3|a| + |b|…

A: For any two nonparallel vectors a and b , it holds that

Q: The Taylor series for f(x) = x³ at 4 is Σ cn(x − 4)". n=0 Find the first few coefficients. CO C1 =…

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Q: X = [₁,√38² - 1 db y = v √314 - 1 dt, -2 ≤x≤-1

A: Firstly find  derivative of y then find length of curve

Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

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Q: If a = (-1,-4, 4) and b =, then a × b equals: O-4i-k O 4i + k O i +4k O 4i+k None of the others.

A: We can find the cross product as below.

Q: 3. fx³√1 + x² dx

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Q: Find the sum of the series: n=0 x n!

A: We are asked to find the sum of the series.

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: To find cross product.

Q: The value of the definite integral 3 [² (3x² Jo 0 is (3x² - 2x + 4)dx

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Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find the…

A: Let common ratio of geometric series =r  We know if |r|&lt;1 then geometric series convergent…

Q: Let à = 5j + k and b -2i+j+2k. Find - 3ā – 3b.

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Q: The value ff*(x+y+z)dzdydx is (solve) 3/5 O 5/8 O 2/7 O 7/8 O

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: What am I missing ???

A: We have to find derivative

Q: ³ [] (2² + y²) p(x, y, z)dV where p is the density function. Moment of inertia about z is calculated…

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Q: an+1 Suppose that an Σ an( – 36)" x2n n=1 → 1 as n → ∞o. Find the radius of convergence.

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Q: Find the center and radius of the sphere with equation (x + 3)² + (y + 1)² + (z − 1)² = 64 Center:…

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Q: Determine the Riemann sum using L4 over the interval [-1,1]. y = 3x² - 2x + 1

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.   lim x→∞…

A: The given limit,      limx→∞1+axx, for some constant 'a'

Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

A: To determine the location and value of the absolute extreme values of f on the given interval, if…

Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English

Q: Solve the initial value problem y" + 5y' - 24y = 0, y(0) = a, y'(0) = 80. Find a so that the…

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Q: Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y…

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Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: You have 100 feet of fencing to build a pen in the shape of a circular sector, the "pie slice"…

A: Given the perimeter of the circular sector is 100 feet   i.e. r+r+s = 100   ⇒ 2r+s = 100    ⇒ s =…

Q: A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The…

A: We need to find height.