Find the faur fourth root of (-16)

Q: Consider the equation y" + ay' + by = f(x) the constants a and b are real and different from zero,…

A: The given problem is solved below in detail.

Q: Evaluate the double integral over the rectangular region R. / 8xy°dA; R = {(x, y): – 1 < x < 1, – 7…

A: Given:       ∬R8xy6dA   R=x,y: -1≤x≤1 , -7≤y≤7        ∬Rfx,ydA=∫ab∫cdfx,ydydx…

Q: Find the area of the region inside the circle r = 12sinθ and outside the cardioid r = 4 + 4 sinθ.

A: Area

Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

Q: r=1+ 3sino

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Find T(t) and N(t) at the given point. r(t) = 3 cos(t)i + 3 sin(t)j + tk; t= 2

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Q: Question Specify which of the following sequences converge en n+V5 an =5- %3D n2 Cn = an and Cn the…

A: If limn→∞an  exists and is finite the then sequence an is converges.

Q: a) Consider the scalar function: f(x, y) = -4x*y³ – 2a*y? Find the gradient: Vf(x, y) = i+ Find the…

A: Given; f(x,y)=-4x^2y^3-2x^4y^2

Q: 3. dy Find if y 2xy - x: dx = cos X using implicit differentiat

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Q: dx dy =

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Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 9

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Q: pproximate using differentation:  e0.99 Please show step by step solution.

A: This question can be solved using the concept of approximation using derivatives.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Here, to maximize the function f(x,y,z)=xyz using the constraint g(x,y,z)=x+y+z-6=0...(1)

Q: Use the arc length formula to find the length of the curve y = 3x - 5, -2 SxS 3. Check your answer…

A: This question is related to Functions and curves, we will solve it using given information.

Q: Find the area of the region using a double integral. The region bounded by y = 2x³, 2x + y = 4, and…

A: To find the area of the region using a double integral.The region bounded by y=2x3, 2x+y=4, and the…

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

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Q: The graph of a function y (=) is shown At which point is the following true (Only type the letter of…

A: Topic:-   calculus

Q: Sketch the region enclosed by the curves and find its area. y = cos8x, y = 0, x = π/16, x = π/8

A: Given: y = cos8x, y = 0, x = π/16, x = π/8

Q: View Policies Current Attempt in Progress Find the area of the region inside the circle r = 30 sin 0…

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Q: Question 14 1. 2 Evaluate the iterated integral. J, J. J. (x²+ y² + z?) dx dy dz -1°0 (А) 5 (в) з D)…

A: To find following integral valueI=∫-11∫02∫01(x2+y2+z2)dx.dy.dz

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: Use any method to simplify the complex fractloh. k+1 25k 3k - 1 15k

A: Use the fraction rule; abcd=a·db·c   The given expression is: k+125k3k-115k

Q: Question 2 Use spherical coordinates to find the volume of the solid. The solid enclosed by the…

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Q: 2. Write the given (total) area as an integral! a. The area above the x - axis and below y = 4 -x2 T…

A: Area between the curve  y=f(x) and x-axis is defined as ∫abf(x)dx where a, b are point of the…

Q: Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

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Q: If we have that f: R → Ris a continuous function , in which f'(7) = 6 and f(7) = -2 an equation of…

A: We have to find out tangent line

Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) %3|

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the solution of the following BVP given that y(0)=2 and y(1)=0. d’y_12dy. dx +36y = 0 dx

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Q: 3 4. 7 8. PO 723 1225.78 1853 246762942.68 3246.963419.05 3509.59 3555.42 The table is given by…

A: ------------------------------------------------------------- dPdt=Pa-bP1P1-baP·dP=a·dT…

Q: Use double integration to find the volume of the solid. ... 3 3x + 2y + 4z = 12 А) 6 в) 9 c) 12 D)…

A: Volume

Q: If f is differentiable at a number, x, then f is continuous at x.

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = V x2 + y2,…

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Q: In exercises 5–10, find all critical numbers by hand. Use your knowledge of the type of graph (i.e.,…

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Q: Find a result by using variable separa Vx/y-1 b-y'ý+x-0 dx Find a result by using homogenous for

A: A)x y dydx=1y dy=dxx∫y dy=∫ x-12 dxy3232=x1212+C'2y3=3x+3C'2y3=3x+C

Q: 1. Find the equation of the tangent line to the curve x = e', y = et att = 1. 2. Find all values of…

A: tangent property

Q: Evaluate JJ Xy dA, where R is the region in LA ... y = x? R 2 A) 13/7 B) 16/3 c) 18 D) 20

A: A detailed solution is given below

Q: Find the curvature and the radius of curvature at the point t = 0. %3D x = e' cos(t), y = e' sin(t),…

A: r(t)=et cos(t) i+et sin(t) j+7et kr'(t)=[etcost-etsin(t)] i          +[etsint+etcos(t)] j +7et k…

Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer. A = T

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Q: In exercises 9–14, find all critical numbers and use the Second Derivative Test to determine all…

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. e…

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Q: dx a sin x+b cos x

A: Given problem:-

Q: rl+ 4sino

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Q: Evaluate JJ xy dA , where R is the region in ху ´(1, 3) (5, 3) R (2, 1) (4, 1) A) 56 в) 67 38 D) 90

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Problem 6. The area A of a triangle is given by A=ac sin B, where B is the angle between sides a and…

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Q: Verify Green's Theorem by evaluating both integrals v? dx + x2 dy dA ax for the given path. C:…

A: 9

Q: 1. Find the equation of the tangent line to the curve x = e', y = et at t = 1.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the double integral. /| 4x²sin y²dA; Ris the region that is bounded by y = x², y = -x², and…

A: Given problem:-

Q: fast

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