Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point      Perpendicular to (5, 2, 2)   x-1/4 = y + 2 = z+5/-5

Q: 9. Find the solution to satisfying y = dy dt = 7y || y(6)=9

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Q: Solve the initial value problem. ds dt = 20t(5t² − 3)³, s(1) = 7 - The solution is s=

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Q: 8 Σ η=1 1 3Vn + n η

A: Calculate the limit of the given term as n reaches infinity.

Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

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Q: i) Find the general term (an) of the sequence 3e-¹, 10e-2,29e-3, 66e-4, 127e-5,218e-6, ii) Calculate…

A: solution is given below

Q: 3. Find the total derivative of V with respect to X. V=3X³ +5Y²+6Z Z=4+5X Y=3X+6Z+5XZ

A: Given, V=3X3+5Y2+6ZZ=4+5XY=3X+6Z+5XZ

Q: Use the method of Lagrange multipliers to find the maximum and minimum of the function f(x, y) = y²…

A: Solution is given below:

Q: Use the Chain Rule to find az/as and az/at. (Enter your answer only in terms of s and t.) z = sin(0)…

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Q: (4) (3) (4) e. y = 4x³ (2x + 7) 4 f. y = 1 5√√(3-15x)³ g. s = 8cos (4t2 +9) ...determine s' s'(2)

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Q: on for this differential equation problem:   The part of the normal to a curve, at any point (x,y)…

A: answer is in next step. please give a like !!!

Q: What is the area of the region between the lines y = 6x and y = 3x from x = 1 to x = 5? Select one:…

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Q: If an = n²(n+5n²) 4n4-n²+1' then by using the Nth term test for divergence, the series Σ an…

A: We have to find if given series converges or diverges.

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: Question 4 of 20 < View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: 13 Find p, q if f f(x) dx + f₂³f(x) dx = f f(x) dx. (Give your answers as whole or exact numbers.)…

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: Question 6 of 20 View Policies Current Attempt in Progress Use the limit definition to find whether…

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Q: After performing the long division on x²-4' we can conclude that the integral S = is the same as X…

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Q: solve the following diffrential c) x²(y+1)dx+(x²-1)(y-1)dy=0

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Q: Express the number 8√3-6i in the form R(cos(0) + i sin(0)) = Re, where R> 0 and -≤ ≤T. NOTE: Round…

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Q: Halla los valores extremos (máximo y mínimo absoluto) de la siguiente función, en el intervalo…

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Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) lim 8 cos x…

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Q: 1)Determine the equation of the tangent line to the intersection of the surfaces x²-y=0 and y+z²=16…

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Q: Consider the following. u = 7i + 9j v = -3i + j + 8k Find u x v. Determine if u x v is orthogonal to…

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Q: Current Attempt in Progress Find values of x, if any, at which the given function is not continuous.…

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Q: Determine the convergence or divergence, justify answer

A: Given, ∑n=1∞1nπ

Q: Evaluate and Solve for all solutions of x over the domain 0≤x≤ 2π. Use EXACT values IF POSSIBLE. If…

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Q: ASIC 0/0 Find p, q if f f(x) dx - f f(x) dx = f f(x) dx. (Give your answers as whole or exact…

A: Please refer to the image below

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the area of the surface given by z = f(x, y)  that lies above the region R. f(x, y) = 13 + 9x…

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Q: Find dy/dθ by logarithmic differentiation.…

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Q: Determine whether the following statement is true or false. If y = sin¹ (4x4), then = 16x³sin³ (4x4)…

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Q: Find the area of the region enclosed by the curves x + y² = 0 and x + 4y² = 12. The area of the…

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Q: The population of a city is associated by the function P(x,y,z)=x² + 2y² + 2z². If the population of…

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Q: 2 √₁² √√4y² + 4y + 2dy

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Q: 10. f(x)=(x+2)(2x-3) 11. 4x-2x+1

A: To find the derivative of the following functions

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 8…

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: i) Find the exact length of the curve 1 + 15 4x3 y = y = ii) Find the exact area of the surface…

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Q: Determine whether each of the following vector fields F is path independent (conservative) or not.…

A: use partial derivative for finding the potential function.

Q: a) Sketch the region of integration and evaluate the double integral 8 [L, -6 10 -2 y + xy² dx dy b)…

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Q: 2 2. V X W y = -log₂ (x+3) Equation of Asymptote: Mapping Rule: #3 O -6 E $ 4 R % 5 -2 22 T 2 0 -2…

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Q: Find the area of the "triangular" region in the first quadrant that is bounded X X 4 4 above by the…

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Q: 9. Let f(x) = 10 z+12 2 10 For each of the following limits involving f, either evaluate the limit…

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Q: 1. Determine the interval of convergence for the series: 27 3 9 3x + 3x² + 2. Find a general…

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Q: dc The marginal cost of printing a poster when x posters have been printed is dx c(25) c(1), the…

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Q: For the following position functions s(r)=-21 an object is moving along a straight line, where f is…

A: Average velocity at t=a =s(a+h)-s(a)(a+h)-(a)=s(a+h)-s(a)h

Q: 7. Find the greatest integer that divides all numbers of the form 109" +96" - 53″ – 66″ for n ≥ 1.…

A: Disclaimer: Since you have asked the multiple question,we will solve the first question for you. if…

Q: 13. The population of the town, rounded to the nearest whole person, remaining after 5 years is…

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