Find the horizontal and vertical tangent lines of the cardioid r = 11-11 sin(0). (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list.) y= X=

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A: Let   Orange graph is f(x) and blue graph is g(x).We can observe the graph, and point of…

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A: Given that triangle XYZ is equilateral and X is the circumcenter of triangle OYZ, it implies that…

Q: Hello, one last question are there instances where they use triangle?thank you so much

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Q: A = 1 2 0 3 0 5 1 1 - has 1 [3] H H one eigenvalue λ = 1 with eigenvector 0 one eigenvalue λ = -2…

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Q: Late the following tab values using 16 2) √ 11²7, 3) e) Ces (1/4), Sin? (17/3) H) le 25

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Q: 15. Find the antiderivatives. a. f x^2e + 9 cot(2x) csc(2x) - 7dx b. Se^x cosh(e^x) - csc2 x -…

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A: The given function .The objective is to find the is to find the power series representation of the…

Q: 4. Consider the function f(x) = (a¹x)(b¹x) where a, b, and x are n-dimensional vectors. a. Find…

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Q: [2 Given that; a=1, b=2, c=0, d=1 Explain why the matrix a b c d is not diagonalisable.

A: Here the given matrix Let x be tha eigen value of A matrix Then

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Q: Verify that the given choice of n in the remainder estimate |R₁| ≤ (x-a)n + 1, where M is the…

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Q: Given that the matrix A = -6 3 4 5 U= - -3 ------H V= and vectors and w= [3] 4 (Hint: Pre-multiple…

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Q: Write matlab Command to find the factioral of not write matlab Command that retur a sequence of of…

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Q: n = 1 -(x + 5)^ 27

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Q: 1 F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + yzj + zxk, C…

A: Let C be a closed curve bounding an open two sided surface S. Then∮CF→⋅dr→=∬SCurl(F→)⋅n→dsWhere n→…

Q: 1) Optimize, q = K0.3 10.5 subject to 6K + 2L = 384

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Q: Consider the initial value problem my" + cy' + ky=F(t), y(0) 0, '(0) 0 modelling the motion of a…

A: The given initial value problem is my″+cy′+ky=F(t) with y(0)=0,y′(0)=0.Given that m=2 kilograms, c=8…

Q: 12. Which of the following is the reciprocal of a quadratic function? 1 X a. f(x) b. f(x)= 4x + 1…

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Q: 11. Find F. dr where F(x, y) = (3y, -2x) and C is the path starting at (0,0) to (4,0) to (4,4) back…

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Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Here first we have to verify that x1, x2, x3 are the solutions of the given equation. Then using…

Q: 8. One root of the equation x³ + 2x − 3x² - 6 = 0 is a. 3 b. -1 c. -3 d. 1

A: So 3 is a root of the equation as f(3)=0.So option a is correct.

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Q: How many finite functions exist of the form f: {1, 2, 3,...,m} {1, 2, 3,..., n}? How many of them…

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Q: 5. Determine the stability of equilibrium points to the lac operon equation using the method of…

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Q: Find the inverse Laplace Transform F(s)= 1/s^2-6s+10

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Q: Given that the matrix A [3]. 8 [ -6 3 4 5 ------- V= and w= and vectors [3] 8

A: Let,  be the eigen value corresponding to the eigen vector u.Then,…

Q: Find the volume of the solid E enclosed by z = 19-x² - y² and z² = x²+y² 3

A: A solid E encloses by .To Find:The volume of the solid.

Q: (ii) Find the Fourier series of the periodic function defined in the interval 0 < t < 1. 0 < t < 1/2…

A: The given problem is to find the Fourier series expansion of the periodic function.Given periodic…

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A: The sum of and is equal to .We have to find A and B.

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Q: Assume that V is a finite dimensional real inner product space and T € L(V) and self- adjoint. Show…

A: Suppose that    is  a  finite  dimensional real  inner product space  and   and self-adjoint.We…

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Q: 1. y' = 2. y'= 1 cos x cos y 3. y' = 3 cos x cos y 4. y' = cos x sin y = 2 cos x + sin y

A: 1.2.

Q: By using partial sums, determine whether Σ=₁ ln(1 +¹) converges or diverges.

A: The given series .The objective is to determine the converges of the series using the partial sums.

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A: The given set expression .The aim is to sketch the Venn diagram.

Q: Let V = R³ and let H be the subset of V of all points on the plane -3x + 4y + 5z = −12. Is H a…

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Q: 10.8 Let G be a group of order p², where p is a prime. Show that G must have a subgroup of order p.

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Q: Let ƒ(x, y) = x³ + y³ + 6x² − 21y² – 1. List the saddle points A local minimum occurs at The value…

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Q: A survey of 10 fast-food restaurants noted the number of calories in a mid-sized hamburger. The…

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Q: 1 Prove that the function h(z) = is holomorphic on D1(0) but not holomorphic on D₂(0). (Hint: this…

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Q: a {[B][B][B][B]} a Why it is a spanning set for R³ but not a linearly independent set. Given that…

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Q: QUESTION 2 Solve the following differential equation with initial condition by using the Laplace…

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Q: The first derivative of x = 4e and y = ise. The second derivative of x= -10 cos 8 and y=-10 sine is…

A: According to guidelines we can solve only first 3 but since which question is 19 so we solve only…

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Q: 15. Prove: If a, b, c, a, and M are constants and M = 0 then ax²y" + bxy' + cy has a particular…

A: Let us solve above problems.

Q: W6.3. Determine if each of the following sets is a subspace of R³. If the set is a subspace Ove your…

A: One step test :Let V be a vector space and W be a non empty subset.If  be two elements of W and  be…

Q: What if its a rectangle are there instance like that?

A: I will formulate a new problem of the same kind in more general sense for rectangle and then i will…

Q: Which of the following statements are TRUE? Select all that apply. The ratio test is often used to…

A: We have to identify which of the following statement is correct

Q: a)  Write down an expression for the probability density, ρ(t, x), in terms of the wavefunction of…

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