Convert the polar equation to rectangular form. 8 r = 1 - cos 0

Q: Show that lam 2

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Q: 48 Find the equation in standard form for the circle whose diameter has an endpoint at (3, -4) and…

A: We are given diameter of the circle has an endpoint at (3, -4) and (0, 0) We know equation of the…

Q: Consider the sequence (an) that is defined inductively as a1 = 1 and an+1 = an(1+1/n4 ) i) prove…

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Q: b) A periodic function f(t) with period T = 2π is defined as: f(t) = t, for 0 ≤ ≤ t 10 for -≤t≤0…

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Q: compute the series  ∞Σn=1 1/(n2+2n)

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Q: 12. = y dV, where E is bounded by the planes x = 0, y = 0, z = 0, and 2x + 2y + z = 4

A: We need to find ∫∫∫Ey dV E is bounded by the planes x=0, y=0, z=0, 2x+2y+z=4 From 2x+2y+z=4 we get:…

Q: T 2(Vn+1-1) < < Σ Συν Vi i=1 <2Vn+1

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Q: Let A be an invertible n x n-matrix. The natrix A(1 : k, 1: k) is invertible for k = 1 Fation, we…

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Q: 1 s(s² +4 1 = 1/2 √0 ² sin2t.dt 1. s+3 x-¹(e²² (5 + 3) - 16. =U₁(t)e-3(1-1 2. S 2.4(5(t-cos3t) = 25²…

A: 1. TRUE 2.FALSE 3.FALSE 4.TRUE  5.FALSE

Q: Round your answer to four decimal places, if necessary. Find the arc length of the portion of the…

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Q: Question 4: Mark each of the following by True (T) or False (F) 1) In a commutative ring with unity…

A: Given statements are ,  (1).   In a commutative ring with unity every unit is  a zero divisor . (2).…

Q: a+c\ The linear transformation T:P₂→R³ is defined by T(a+bt+ct²) = b Verify the rank nullity theorem…

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Q: 7. The function f(x, y) = 3x² - 6xy² - 4y³ has two stationary points. Find both of them. You are NOT…

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Q: 20.

A: As per guidelines we are supposed to answer only one question. Here question 20) answered.

Q: The diagonal of a certain rectangle is twice its length minus 2₁ while its width is twice its length…

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Q: 5. Find the half range cosine Fourier Series for the function..... X осхе 2 ....(x)...= TT-X <x<T…

A: Given function is ,  f(x) =     x         ; 0&lt;x&lt;π2π-x      ; π2&lt;x&lt;π (.)    Half range…

Q: A cylindrical capacitors have the following dimensions: Take L-2000 cm, w-0.012 ft, x-0.022 ft.…

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Q: (d) subspace of R2, or explain why it is not a subspace of R². (i) 1291051 (iis 291051 2012 For each…

A: We solve this problem using the definition of a subspace. The detailed typeset solution in latex is…

Q: 1) Find the parametric and cartesian form of the singular solution of the DE yy'=xy¹2+2.

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: Which one of the followings is true? a. Compactness is a topological property however, connectedness…

A: Let X be a topological space. We know that definition of connectedness ,  A separation of X is pair…

Q: 6. Let ₁ and 2 be the amounts of two goods whose joint utility function is U (x1, x2) = 9x1 + 3x2 -…

A: Given  Ux1,x2=9x1+3x2-4x12-x23

Q: 6. Let ₁ and 2 be the amounts of two goods whose joint utility function is U (x₁, x2) = 9x₁ + 3x₂ −…

A: Given that  joint utility function of two goods is  Ux1 , x2 = 9x1+3x2-4x12-x23a   ∂U∂x1= partial…

Q: Find the approximated value of x until 4 iterations for e* = 3 log(x) using Bisection Method. Show…

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Q: (c) Use your formula for E to determine the selling price that would have resulted in the largest…

A: To determine the selling price that would have resulted in the largest annual revenue.

Q: Let A, B, and C be sets. Prove that: Ax (B\C) = (A x B) \ (A x C).

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Q: Given points (0,1), (1,4), (2,9), (3,16). Find the 2nd degree Newton's Interpolating Polynomial that…

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Q: 12. Determine the minimum of f(x)= (10x³ + 3x² + x + 5)² starting at x=3 and using a step size…

A: The function given is as follows: fx=10x3+3x2+x+52 The initial approximation given is x=3 and the…

Q: 7) There is no proper non-trivial maximal ideals in (Z2₁, because is a maximal ideal in Z2₁, ,0 )…

A: Solution

Q: Problem 3. Consider vectors and as drawn below. The vectors are drawn to scale. Choose an item below…

A: we have to find direction of projection of vector ( u + v ) on vector v

Q: 711 20150 711, 711 2015 (2) 241504711 20150 7112015047 (a, a, a), V₂51, a +1) and v3 = (a, a, a + 1)…

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Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…

A: To find the height of the tower :-

Q: 2. Given the following simple propositions, p: Jessie is riding on a bicycle. q: Jessie is eating…

A: Given the following simple propositions, p: Jessie is riding on a bicycle. q: Jessie is eating his…

Q: 3) a) Use Simpson's rule with n=4. b) Estimate the error in the approximation. -2x dx jedx to…

A: Given integral is ∫06e−2xdx. a We have to approximate the given integral by using Simpson rule.…

Q: How many milimeters are in the 67 oz pepsi, can?

A: Note: Since a millimeter is a unit of length and "oz," "milliliter," etc. are units of liquid…

Q: 3. Find the Faurier series of the following function..... -2. -#..Ft.<._ #₂. .f..(.t.).... ·2· -플<<풀…

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Q: A3: For the reaction Ag2S (s) 2 Ag+ (aq) + S²( [Ag*]? (aq), K =2.4×10+, If [S²] = 0.0023M, what is…

A: Solution : Keq  for the reaction, aA+bB→←cC+dD Keq=CcDdAaBb Where, [A] is concentration of A And…

Q: a) What are the points you'll choose to find f(3.8) using cubic interpolation, and why? 51 of f12 91…

A: Follow the steps.

Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw respect to t with x = cost +…

A: We need to use the chain rule to find the derivative of w=x2+y2 with respect to t given…

Q: Solve the differential equation (1 + e²/v) dx + eª/v (1 − ª ) dy = 0

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Q: 3. (a) (b) (c) (d) Consider the function f(x)=(2x−6)(x−1) x²-1 Find the asymptotes of y=f(x). State…

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Q: Expand f(t) = ē ltt <# in Fourier Series. DO ∞G 2 t F .... cesn +... ·+· anso fit) sinh sinh nh…

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Q: Find the order and degree of exy" - 3(y¹)² + 2xy = xe^ and write the differential equation in noxmal…

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Q: 5. Suppose f(x) is an odd function. Prove that g(x)=f(x)| is an even function.

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Q: 1. Helen sprays a weed killer to treat the weed problem in her lawn. The numb 100 hectare (ha)…

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Q: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A 92/6 s.u. B 92/4 s.u.…

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Q: Find the Laplace transform of the following: 4. h(t) = ) = { + ² + 3t = 4, 0≤t<2 t≥2

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Q: 8. Find the four consecutive numbers whose sum is 74

A: We have to find four consecutive numbers such that their sum is 74.

Q: f(x)=5 sinx-x-1, x = 1.8

A: Given,        f(x)=5sinx-x-1, x0=1.8

Q: Solve the following ration equation algebraically. State any restrictions on the variable. 5 12-2 =…

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Q: Every interger n ≥ 2 can be uniquely written as 21 az ak n = P₁ P2 Pk ..... = where P₁ P2 <...... <…

A: Follow the steps.