The orthogonal trajectories of r = 5a sin 0 is, where a is an arbitrary constant r = csin 0 O r5 = c cos 0 p5 = csin 0 r = c cos 0

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and make...

A: Let the equation of the plane be ax+by+cz+d=0  

Q: Consider the following two series A = EE" and - B = n=1 n=1 Which of the following statements is TRU...

A: Given the series  A=∑n=1∞x-1nn and B=∑n=1∞x-1en

Q: Find a basis for the vector space of all 3 × 3 diagonal matrices. 100 o o o o o0 O0 0 o 0 10 00 o 0 ...

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Q: ds = - 2-3 cos t dt Find the function s(t) satisfying and s(0) = 6. ds = -2-3 cos t dt and s(0) = 6 ...

A: Given problem:- Find the function s(t) satisfying (ds)/(dt) = - 2 - 3cos t and s(0) = 6

Q: 12. f(x) = ( cosx 1+sinx)

A: f(x)= (cosx/ 1+sinx)2

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j - k v = 4i + j - k par...

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Q: An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it o...

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Q: Find p, q if f,º f(x) dx – L f(x)dx = [" 5(x) dx. (Give your answers as whole or exact numbers.) p =

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Q: Determine any planes that are parallel or identical. (Select all that apply.) O P;: -60x + 90y + 30z...

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Q: Fihd thẻ čentroid of the region bounded by the graphs of the functions 1 y = 4 sin(x), y = and x = a...

A: Find the centroid of the region bounded by the graphs of the functions    y = 4 sin(x), y=x/9, and x...

Q: Let f : R2 → R be defined by f((x, y)) = x² + 2y – 3xy, for every(x, y) E R² - The value of fx((0, 0...

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Q: 2. Determine whether the function is one-to-one. (a) y = 4x2 + 3 %3D (b) y = Vx + 3 – 5

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

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Q: A. Determine whether the graphs of the follow yes if it is. Otherwise, write no. Explain your 1. Lin...

A: 1) Linear function:- Yes; a linear function (f(x)=ax+b, where a,b are real and a≠0) is a polynomial ...

Q: 2x e² dx 9 + e4x

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Q: evaluate the given double integral. ca/2 9. xy cos(a?y)dxdy

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Q: Suppose f(x,y) = x^2+y^2+x^2y+5 ,D{(x,y):|x| <=1,|y|<=1} 1.Find the absolute maximum f(x,y) on the ...

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Q: Let a = ci +jand b = 9i + 12j. Find c so that the angle between a and b is- Round your answers to fo...

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Q: x 3 For the function f(x)= 3 27 ·x+39 2 - 4 What is the range of value over which the function is de...

A: The given function is: f(x)=x33-34x2-272x+39⇒f'(x)=x2-32x-272&amp;f''(x)=2x-32

Q: V12(-1)" 3" (2n + 1) V12(-1)" 3" (2n + 1) 1. Consider the series ) Note: this was changed from n=0 n...

A: The given series is: ∑n=0∞12(-1)n3n(2n+1) which is an alternating series with an=12(-1)n3n(2n+1); n≥...

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

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Q: The value of the integral T/2 sin x dx cos(x)e- sin Jo is: Оа. 1-е-1 O a. O b. e- sin 1 O C. С. cos ...

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Q: trakuak the triple Integral

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

A: Given that, u = 3i+7k, and v= 5i+9j-3k.  

Q: Find u · v, u · u, ||v||2, (u · v)v, and u · (3v). u3 (2, 11), v = (-5, 2) %3D (a) A.n (b) n.n (c) |...

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Q: Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no ...

A: This question can be solved by converting the system of equation in matrix form.

Q: Consider the following. 5i + 6j, v = 7i + 9j U = (a) Find the projection of u onto v. (b) Find the v...

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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: 4) Two straight roads diverge at an angle of 65°. Two cars leave the intersection at 2:00 PM. One tr...

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A: First we find slope of the function y=5x2-x dydx=10x-1dydxx=1=10(1)-1dydxx=1=10-1dydxx=1=9 At x=1, y...

Q: Find the magnitude of v. V = 4i ||v||3=

A: Let, v→=xi^ then, V→=x2 =x.This is the formula of magnitude of v→

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 A csc (x) = sec (3A-x) Ans. π/6   Please include the explanation on the solution. Thank you...

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Q: Find the unit vector in the direction of v. v = -6.9i + 2.5j U =

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Q: Direction of opening: Zeros: y-intercept: Vertex: Axis of Symmetry: Max or Min Value:

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Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $50/f...

A: Given query is the length of x and y.

Q: he trigonometric function y =2 sinz-) We will fil out the table and plot S points so that we can see...

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Q: 183. The output of the show frame-relay pvc command shows "PVC STATUS = INACTIVE". What does this me...

A: The command PVC STATUS provides the status of the PVC.

Q: Find the unit vector in the direction of v v = -6.3i + 3.7j u %3D

A: Let the unit vector in the direction of v be u.

Q: The value of the partial sum of the infinite series is equal to

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

A: Topic = Vectors v=1,92  Positive components -v=-1,-92 Negative components    

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A: Find your answer below 

Q: Determine whether each point lies on the line. x = -1 + t, y = 3t, z = 5 +t (a) (0,3, 6) O Yes O No ...

A: a)(0, 3, 6)x=-1+t 0=-1+tt=1y=3t 3=3tt=1z=5+t 6=5+tt=1t=1 for x, y and z.The point lies on the line.b...

Q: Find the direction angles of the vector. (Round your answers to one decimal place.) u = (-6, 3, 7) a...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = j+ 5k v = i - 3j - k parallel O ...

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

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Q: For f(x) in the figure below, find the x-values of the global maximum and global minimum on the doma...

A: Global maximum: A global maximum point refers to a point x=c with the largest y-value on the graph o...

Q: The interval of convergence of the power series (-1)*(x+2)" (n+1)422 OA -651s2. OB. None of the choi...

A: The given series is: ∑n=0∞(-1)n(x+2)n(n+1)422n...(1) Let, an=(-1)n(x+2)n(n+1)422n, n≥0

Q: Find u, 3v, v – u, and 2u + 5u 3. u = (4, 3), v = (3, –3) 2. (a) 3

A: Given: u=4,3   v=3,-3

Q: 3. Find using implicit differentiation given that dr y secr - log(r² + y?) = e* + cot(ry).

A: To find the derivative of given function.