Find the intercepts and the symmetry for the polar equation r = 1+ sine.

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: Determine the Fourier Series of f(x) = Scannes with CamScanner 0<x<π π<x< 2π Interval: 0<x<2x

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Q: Q2 Using forward and backward difference approximations of O(h) and centered difference d²y…

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Q: I. Let C be the curve with parametric equations 3t-1² I= and yIn(t-1) for t€ (1.+00), t-1 and let P…

A: The parametric equations of the curve C is given as, x=3t-t2t-1 and y=lnt-1 for t∈1, ∞ The given…

Q: 1. Determine the Inverse Matrix of the following using the 5 steps and Gauss - Jordan Method. [1.20…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: spac (a- Open and not closed, b- closed and not open, c- open and closed, d- Not open and not…

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Q: tive two real numbers, x and y, if x · y ≤ 50, then either x < 8 or y < 8. (Please type answer in r

A: Introduction: Proof by contradiction (also referred to as indirect proof or the tactic of reduction…

Q: A van costs $25,000 and has an expected life of 6 years, with a salvage value (Residual Value) of…

A: Given that: Actual cost of the van = $25,000 Expected life = 6 years Salvage value = $1,500 To…

Q: g. L-12_3 s2-8s+251 -1 h. L-¹ [25²-35+4]

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Q: By changing to cylindrical coordinate, evaluate So So -1 c√1-x² 16 x² + y² x² dzdydx

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Q: 4. Which of the following subsets of R³ constitute a subspace of R³? [Here, x = (₁, §2, §3).] (a)…

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Q: Find the differential equation which has the given family of integral curves. The family of circles…

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Q: Find vectors A and B such that A is parallel to (2, 1,-1), B is perpendicular to (2, 1, -1) and A +…

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Q: For each of the given paths, verify Green's Theorem by showing t dA. Also, explain which integral is…

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Q: A man borrows ₱40,000 loan at an interest rate of 4% for 8 years. QUESTION: If the loan is made…

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Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: Option (A) is correct.

Q: 2. Sketch the function and write in terms of unit step function. Hence find the Laplace…

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Q: bikes on sale at $599.99. At the sale price, 18 bikes were sold during the one week sale. (a) What…

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Q: Q3: The polygon traverse ABCDEA shown in figure 2. is to be divided into two equal areas by a…

A: If polygon vertices are(x1,y1),(x2,y2),...............(xn,yn)then…

Q: 3 3 2 Find the area bounded by the curve y=x²-x² + 3x and the line y=x. 16 4 10 square units 8…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: R(t) = = {{In(3 In(3 – t), (0, -1, 4), 4t-8 4-t2⁹ 8), 3t² – 8 t#2 t = 2.

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Q: 2. What is the largest possible c in (1) if X=R² and x₁=(1,0), x₂ = (0, 1)? If X = R³ and x₁ = (1,…

A: Given: c To find: a) X=R2b) X=R3

Q: Let {f1, f2, f3} be the dual basis of {e1, €2, €3} for R³, where e₁ = (1, 1, 1), €₂=(1,1,−1), Find…

A: Given basis are e1,e2,e3 of R3 where e1=1,1,1e2=1,1,-1e3=1,-1,-1 Its dual basis are f1,f2,f3 We have…

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: x1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: u= 4u -du 4-4² S-…

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Q: Evaluate [√x² + y² ds_ along the curve r(t)=(4cost)i+(4sint) j+3tk, −2π ≤t≤ 2a.

A: To find- Evaluate ∫Cx2 + y2 ds along the curve rt = 4costi + 4sintj + 3tk, -2π ≤ t ≤ 2π.

Q: Solve ax + by c bx + ay = 1 + 2

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Q: 1. Obtain 10 samples of x(t) = 2 cos (10t) from t = -0.3s at a sampling frequency 10Hz. Plot a.)…

A: As per the question we are given a continuous signal x(t) = 2cos(10t) Now we have to sample it using…

Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

A: Given,  S is the quadratic with equation 4x2 - (y-3)2 + 4 z2 = 4 Here S is a sphere  whose radius is…

Q: 7. xdy = (5y + x + 1)dx

A: xdy=(5y+x+1)dx ⇒ dydx=5xy+1+1x⇒ dydx-5xy=1+1x

Q: Exercises To Solve [No.5] Lim 9-5 -4 S= a dx -x²-8x-15 of Los x Sinx+25inx+5 ka

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Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? (A) 1/2…

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Q: Consider a curve given by Ř(t) = (2 cos t, 12t + 3, -2 sin t). Let f(t) be a function such that f(1)…

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Q: ach of these algebra

A: Given that the London bus tour company function                            T(x)=-x2+50x-225 where…

Q: 4. Solve the ODE using Separation of Variables. X. dy - y = 2x²y dx

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Q: 6) Let f(z)=(2²-z-1)7. If a²+a+1=0 and Im(a)>0, then find f(a). a) 128a b) -128g c) 128g² d) -128g²…

A: Note: As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Use Simpson's Rule to evaluate the following. n = ·3 1 dx 1 + x² 2

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Q: B. SOLUTION OF HOMOGENEOUS SYSTEM GIVEN: [1 -1 -13-14 0 2-2 1 10 0 A= 10 0-2 0 0 0011-10

A: Let us solve the system of homogenous linear equations in the next step using LU FACTORIZATION(row…

Q: identify and sketch the graph y = √(4 - x^2) in R^3

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Q: xxx (e)

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Q: Separation of variables The lateral radiation of heat from a bar of length L insulted at both ends…

A: There are so many subparts, as per our guideline we can solve only first three subparts. Please…

Q: 1. Let f(x) = sin²(x) cos(x) g(x) = sin² (x) cos² (x) h(x) = sin² (x) cos³ (x) ㅠ (a) Plot all three…

A: Introduction: The definite integration of a real valued function over an interval is the area that…

Q: 34) True or False: The transformation shown below is a rotation.

A: Introduction: Symmetricity is very important in geometry. When a line divides a geometrical pattern…

Q: Find the maximum of the following function F(x) = 1 - 8x + 2x² - 4x³ + x² + x³ - £xº A)…

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Q: Show that in an n-dimensional vector space X, the representation of any x as a linear combination of…

A: The given problem is related with linear algebra. We have to show that in an n-dimensional vector…

Q: Find the length of the curve. Hand written plzz √2ti + etj + etk, 0 ≤t≤ 3

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We have to Find the hydrostatic force on one end of the trough.

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)² = 2y, the…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)²=2y, the…

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