Determine the Cartesian equation of the plane that contains the line = (7,2,-1)+ a(4,5,1) and perpendicular to the plane x-2y+z+ 4 = 0.

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A: Concept:  The sine function's general form: y=Asin(Bx-C)+D Where A represents the amplitude Period:…

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

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A: answer is in next step.

Q: 24) Find dy /dx for the following functions : a) y². cotx= [sin(x,y)]-¹ b) y = (lnx + x) tan x

A: Given: a)y2·cotx=sinxy-1b)y=lnx+xtanx

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A: Given problem:- Consider the lines l1 : x = 1+3t, y = 2+3t, z=3-10 and l2: (x-8)/7 =(y+1)…

Q: Prove that sech-¹(x) = In(¹+√¹-x²) X

A: Here we have to solve the inverse hyperbolic function.

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A: Here we have to choose the correct option.

Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: The objective of the question is determine the area bounded by the given curves.

Q: Find the area of the region between f(x) = x² + 2 and g(x)= x - 1 on the interval [-2,2]

A: The functions are f(x)=x2+2  &  g(x)=x-1

Q: If y = ecos(x) then y" + sin(x) y' +cos(x) = ****

A: We have, y=ecos(x) We need to evaluate, y''+sin(x) y'+y cox(x)

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Q: The value of the following limit Lim (cos(x) cot(x) is: AL

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Q: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure  water is then…

Q: By using the differential operator D and it's inverse, solve this equation: y"+3y'-4y=sin(3x) sin…

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Q: Use Newton's method to approximate a root of the equation 3x² + 7x² + 2 = 0 as follows. 1 Let x₁ = 3…

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Q: Question Use the graph of f(x) shown below to determine each of the following limits. If any of the…

A: Given graph of a function f(x).

Q: dy 1. Determine for each of the following. Do not factor but simplify where appropriate. dx a) y =…

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A: topic- average value of function over interval

Q: Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

A:

Q: Annual sales of bottled water in the U.S. in the period 2000-2010 can be approximated by the…

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Here we have to check the convergence of given sequence

Q: 1 6) m=1 [ n+1 7) fx.tan-2x.dx =

A: We have to solve a part 6 and 7.

Q: Solve the initial value problem. 1. y'=4xe2x²cosx - ytan x, where y(0)=1

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Q: 2 Within x² - y² = 16, y = 0, x =

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Q: 3. (3y² + xcos xy) sh a) d) al + (3x2 + ycos xy) = 0 dx y + sen xy + x³ = 0 y2 + sen xy + x³ = 0 y²…

A: The given equation is;  (3y2+xcosxy) dy/dx +(3x2+ycosxy) =0

Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=<a,b,c> then its standard form is v=ai^+bj^+ck^

Q: If y = ecos(x) then y" + sin(x) y' cos(x)= ***

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Q: Suppose that the polynomial function fis defined as follows. f(x)=(x-13)²(x-8)³(x+4)³ List each zero…

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Q: )) 5 = لا 5 1 2X e - ل6 لاو لا -

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Q: If y = ecos(x) then y" + sin(x) y' +cos(x) =

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Q: Ho Find (dy/dx) for: tanh-¹(x y) + e(x+y) 5 cos(y)

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Q: 3 -6 -4 -3 4 Let y = V1 = 1 5 -1 Compute the distance d from y to the subspace of R4 spanned by V₁…

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Q: 3. Given f(x) ==, determine the maximum or minimum values if any using an interval table. X

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = √ ₁²₂²³² Sa dx…

A: Given problem:-

Q: The doubling period of a bacterial population is 10 minutes. At time t = 80 minutes, the bacterial…

A: Given: The doubling period of a bacterial population is 10 minutes. At time t =80 minutes, the…

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A:

Q: If c = 192, ZA = 79° and LB = 55°, b ; Assume ZA is opposite side a, LB is opposite side b, and ZC…

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

Q: if Find: A = sin(u)i + was (u)j + (u)k B = cos(u) i - sin (u) j C = 2 i + 3j -K - 3K du [ A x (B x…

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Q: Expand the expression sqrt34cos(7x-C), where C=arctan(5/2). Final answer should have the format…

A: Solve the following

Q: = 3-5x + 2x². Calculate the following values: Let f(x) f(a) = f(a+h) = f(a+h)-f(a) h = for h 0

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

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: solution:-the weekly online sale s(t)=600et in dollarsthe formula to find the average value of a…

Q: Problem 1 Give a general solution of the differential equation y""+3y"=0. m

A: As per guidelines we have to solve one question Please repost other questions again

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = S dx (x - 1)². (x…

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Q: A baker sells cupcakes and bases her prices on the number of cupcakes purchased. 72Total Cost 66 60…

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Q: By using the differential operator D and it's inverse, solve this equation: y"" - y" - 6y' = ex ex…

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