Find the points on the curve of intersection of the ellipsoid x²+4y²+4z²=4 and the plane x-4y-z=0 that are closest to the origin and find the minimum distance.

Q: Use this theorem to find the curvature. r(t) = 6ti + 2 sin(t)j + 2 cos(t) k %3D K(t) = Need Help?…

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Q: 30. What is the slant height x of the given pyramid to the nearest tenth? The figure is not drawn…

A: The given question is related with pyramid. Given a pyramid . We have to find the slant height x of…

Q: Find the Eigenvalue and Eigenvector 2 2 1 A = 2 2 1 5 -1 1

A: Note: Eigenvalues of a square matrix A is given by roots of the characteristic equation det(A -…

Q: Describe the overall process for solving a system of linear differential equations using the…

A: We have give the overall process for solving a system of linear differential equations using the…

Q: Consider the two systems of differential equations dr (1) = 0.3z - 0.1ry = 0.3r - 3ry dt dy dt =…

A: Note: As you asked only Question 2 part(i) so, I answered here only part(i).

Q: we consider the system dz = 2r + 2y dt =I+ 3y. dt For the given function Y(t) = (z(t), y(t)),…

A: We can solve this using given equations

Q: 3. Consider the partially decoupled system dr (a) Derive the general solution. = 2r - 8y dt (b) Find…

A: This is nonlinear autonomous systems of differential equations.

Q: (a) Determine the center and angle of rotation for f(z) = z + (4 – 2i). (h)

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Q: 5) 8 yd 7 yd 3.5 yd- 4 yd 3 yd

A: We are authorized to answer one question at a time, since, you have not mentioned which question you…

Q: Consider the vector field F = (x*y, x*y? Is this vector field conservative? Select an answer If so:…

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Q: Dis cuss the existness of the elivirative of the funetion 3. 又X-1 in each Point of the domain

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Q: Find the Fourier series for the periodic function giving below: -n <t< -T/2 -T/2 <t< T/2 1, -1, x(t)…

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Q: Test the series below for convergence using the Ratio Test. 0.5" The limit of the ratio test…

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Q: Find the formula for the Riemann sum obtained by dividing the interval [0, 1] inton equal…

A: Introduction: Riemann integration is very significant in real analysis. It is an advanced study on…

Q: Suppose we know the number pi is irrational. Explain how we know that the number pi plus 2 is…

A: All of we know that Sum and Difference of two Rational number is also Rational. Here Supposing pi is…

Q: 4. Modify the Euler method to obtain the approximate values of y(3) and y'(3) y" – y' + y = t, 2<t<…

A: Given that    y"-y'+y=t                        1⇒y"=y'-y+t we will solve this problem through MATLAB…

Q: 1. 2 Given the series -+ - Which ONE of the following statements is TRUE? OA. The series converges…

A: Infinite Series: sum of infinitely many numbers in a given way is called an infinite series. For any…

Q: 4. Write the following statement symbolically and then prove it: For all real mimbers a and b, if 0…

A: Here given statement, "for all real numbers a, b with 0≤a&lt;b then a2&lt;b2." Symbolically, it can…

Q: Solve the system of linear equations and check any solutions algebraically. (If there is no…

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Q: x1 x2 x3 x4 x5 x6

A: Solution :-

Q: 2. Find the converse and the contrapositive of the following statemnents: (a) If m divides 2+j²,…

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Q: b) Solve the following inequality in the complex variable z: Re ((z – 1)(z – 2i)) > Re(z – 1) · Re(z…

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Q: 5)Write the number of shaded squares in each triangle. Write the rule for the pattern and sketch the…

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Q: a. Graph the function with a local maximum at (-1, 2), a local minimum at (1, -2), an absolute…

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Start from the…

Q: Given the series Which ONE of the following statements is TRUE? A. The series converges to 1 by…

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Q: HW Solve the fallowing first order 0E. -3= \-3+メー

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Q: 4 3-

A: the given function  is f(x)=182.5x2+3.5 The intervals on which f(x) is concave down are the…

Q: Exercise 3 Consider the following matching problem between 4 men and 4 women: wi : m1 >m2> m3 > m4…

A: Given: The matching problem between 4 men and 4 women: Women: w1:m1&gt;m2&gt;m3&gt;m4…

Q: dz is given by ди Let z= sinh -(y - 2x), where x = we e-3u and y= In then - OA. 6we -3u Vi- (y- 2x)?…

A: Here we will use chain rule of differentiation. and d/dx(sinh^(-1)(x)) =1/√(1+x^2)

Q: Graph the vector function f(t) = (t3 + 1)ï + tj: %3D

A: We know that  To draw a graph of vector function we need to plot the different points on graph for…

Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…

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Q: A(8, 3,8), B(9, 8,33), C(9, 5,12), D(9, 7,24) are four points in R3. Let E be the parallelepiped…

A: Explanation-  Given A8, 3, 8, B9, 8, 33, C9, 5, 12, D9, 7, 24 are four points in ℝ3. As E is the…

Q: 31 be the and v2 3 matrix for T: R? 9. Let v, = and let A = R2 relative to the basis B = {v, V2}. a.…

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Q: QUESTION 29 On the birth of his first nephew, Donald decides he'd like to give his nephew $500 when…

A: Given that Donald decides he would like to given his nephew $500 when he turns 13 years old.

Q: Find the Eigenvalue and Eigenvector -2 -4 2 A = -2 1 2 4 2 5

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Q: 34. What is the volume of the composite space figure to the nearest whole number? The figure is not…

A: Solution:-

Q: Sound travels at about 1,200 kilometers per hour. If you stand in a parking lot near a building and…

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Q: the periodic decimal 0.110110110110110...(continuing on in this pattern forever) as a ratio of two…

A: Given, the periodic decimal                                0.110110110110110...

Q: Earlier we saw that Channel 6 News ran a poll on social media asking their followers to rank four…

A: The poll results are: No of votes 21 19 17 16 14 13 1st choice Leo  Mikey  Mikey Donnie Raph…

Q: multiplicity of each eigenvalue of A. Find a basis for the eigenspace of the eigenvalue 1 =7 . Do…

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Q: Referring to the graph above, which of the following statements is correct: O A.f"(x) changes sign…

A: Solution

Q: 3. Given the functions Ax) = x - 3x - 10 and g(x) = x - 5x, determine the equation(s) of the…

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Q: we consider the system 2r + 2y z+ 3y. dt For the given function Y(t) = (r(t), y(t)), determine if…

A: Since you asked for part 1, so I solved only part 1.

Q: A farmer has 1800 m of fencing to make two equal rectangular pens that share a common side.…

A: We have to find dimensions of rectangle for which area is maximum.

Q: When z = f(x,y), which of the following is true for the whole statement? %3D

A: We have given function z=f(x,y). We need to check which of the conditions are true for the given…

Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…

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Q: Raph has gone missing, and his brothers are arguing about who should go and find him. They agree to…

A: For Borda count method For 1st choice = 3 point For 2nd choice = 2 point  For 3rd choice = 1point

Q: а 0 a3 0 b2 b3 10. К b %3D с 0 |0 d² d³ 0 c3

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Q: A piano manufacturer has a daily fixed cost of $1,800 and a marginal cost of $2,000 per piano. Find…

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Q: (vii) =-y = -y

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