Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point Perpendicular to (0, 4, 0) n = -3i + 4k

Q: (-1)" Σ Given the series Which one of the following is TRUE? n2+1 n=0 A. The series converges by the...

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Q: u = (2, 11), v = (-5, 2) %3D %3D (a) A.n (b) n n (c)

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

Q: Find the maximum and minimum values of f(x, y) = 3x + y on the ellipse x? + 16 = 1 maximum value: mi...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Note :- The answers provided by you is right i am soving in detailed check it.

Q: (x² +6x , x< a is continuous Find all values of a such that the function, g(x)=. 2х-4 , everywhere.

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Q: Find the domain and range of the function V(x, y) = 9/9y – 45x. Indicate the domain of V in equality...

A: Find the domain and range of the function   V(x,y) = 9 √(9y - 45 x2)

Q: 2 Sx³ex² dx .3

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: To find the parametric equation of a line that passes through a point (-4,0,2) and is parallel to th...

Q: (2t+1)(2t-1) dt

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Determine whether u and v are orthogonal, parallel, or ne u = (cos(8), sin(0), 3) v = (sin(0), -cos(...

A: We will check if they are parallel or orthogonal. 

Q: Write the standard form of the equation of the hyperbola for which a = 2, the transverse axis is ver...

A: The equation of hyperbola with center (0,0) and transverse axis is vertical is given by:y2a2-x2b2=1A...

Q: 4. Find the equation of the tangent plane at the point (-2, 1, -3) to the ellipsoid 22 + y? + = 3 4

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Q: A function f has the form f(x) = Aekx. Find f if it is known that f(0) = 140 and f(1) = 210. (Hint: ...

A: A function f has the form f(x) = Aekx. Find f if it is known that f(0) = 140 and f(1) = 210. (Hint: ...

Q: If f'is continuous, f(1) = 0, and f '(1) = 7, evaluate %3D lim (1 + 5x) + f(1 + 6x)_

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: find dy and d'y 2. Xp dx² t. to Y=te

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Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

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Q: 00 3n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" o...

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Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 2j +k as adjacent sides. %3D NOTE: En...

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Q: 1. Consider an optimization problem How are the augmented matrices for a minimization and dual maxim...

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Q: fcos?: 2.

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Q: In constructing an open rectangular box from 1323 ft of material, what dimensions will result in a b...

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Q: 2 decimal places and include units. Let pi be equal to 3.14. Get the circumference f the circle and ...

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Q: Let a = ci + jand b = 7i + 35j. Find c so that a and b are orthogonal. C = i

A: Dot product of two vectors

Q: Determine the solution set to the following homogeneous differential equations. Write your answer as...

A: Solve the homogeneous differential equation and find the roots by finding the auxiliary equation.

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: For given sequence we have to check its convergence first we have to check    limn -&gt; ♾ | (-1)n s...

Q: (b) f(z)= (4 – 5e*)³ x² + 1 (c) f(r)= ez %3D (d) f(z) = e=²–5z+4 ez-5x+4 (e) f(x)=xe² – e² = re² – e...

A: We can solve this as follows:

Q: find dy/dx for the function

A: Given,            yx=x232x-x2To find : dydx for the function.

Q: g (x) = (/9x + 3 ) (7x² + 1)

A: Find your answer bellow

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Given problem:- Find two vectors in opposite directions that are orthogonal to the vector u. (The an...

Q: A. Evaluate the following integrals: | sin 'xcos xdx 1.

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Q: Find u x v, v x u, and v x v. u = 3i + 7k v = 5i + 9j – 3k. (a) u x v (b) V Xu (c) V X V

A: Given query is to find indicated cross product.

Q: The numerical value of the improper integral (tx) 3 dx is equal to (x*+1) 2 - 00

A: Please see the answer below.

Q: 3. Find a unit vector in the direction of v. V = 20i – 21j

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Q: 1) у' +—у y = x/y

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Q: The radius of convergence of the series 2- is equal to ........

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Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: Find all the local maxima, local minima, and saddle points of the function. 2 f(x,y) = x - 4xy +y + ...

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Q: Find a) any critical values and b) any relative extrema. g(x) = x - 27x+ 56 a) Select the correct ch...

A: for (a) - critical values is +3 and -3  for (b) - the relative maximum point is x = -3 and relative ...

Q: Let f(x) = 6x²(x – 1) + 10. %3D Find the critical points c that correspond to local minima.

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Q: evaluate the given double integral. 7. (x + 2)dxdy

A: Given query is to find the value of the integral.

Q: Write out the first five terms of the sequence (-1)" n2 , determine whether the sequence n=1 converg...

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Q: 10. у%3D V2x+1

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Q: 2. Find the angle between the following two vectors. and

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Q: x2 + 3x – 1 Vx + 5 dx

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Q: 3. (y +xy)dx - x'dy = 0; when x = 1, y = 1 Ans. x=e

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Q: Find the equilibrium solutions of the SIR Model.

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Q: 2 V1-x*

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Find the area of the triangle with vertices P(1,5, –5), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the exa...

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