1. Find the area bounded by y = x², y = 4, x = -2, x = 2.

Q: A scientist uses technology to solve a nonhomogeneous system of thirty-three linear equations in…

A: A scientist uses technology to solve a nonhomogeneous system of thirty-three linear equations in…

Q: Explain the Cauchy's theorem for the error in an interpolating formula?

A: In this question, we have to explain the Cauchy's theorem for the error in an interpolating formula?…

Q: 3. Let z = (21, 22), w = (w₁, W₂) E C². Show that (z, w) = z₁w₁ + Z₂W₂ is an inner product on C²

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Q: 1 point Find a particular solution to Yp = | y" + 5y + 4y = -20test

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Q: Find an antiderivative F(x)of the function f(x)=−4x^2−7x+5 such that F(0)=1 F(x) = Now, find a…

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Q: Find the length of the spiraling polar curve r = - 2e² from 0 to 2. Length =

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Q: 1. Prove that for all positive integers n, n Σj2i = (n − 1)2n+¹ +2 j=1

A: To prove that,              ∑j=1nj2j=n-12n+1+2.

Q: Calculate for the given rational expression: 5x 3 + 4x 4/7/2 = 72 1 21

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Q: 8+1 Use At = 0.2 to estimate the distance that the bug crawls during this hour. Use left- and…

A: Consider the given function, v=28+t since, ∆t=0.2 and n=0 to 3 sub-intervals we get,…

Q: Exercise 3. In this exercise (X, d) is a metric space. .} 1) Assume that X is compact. For every r>…

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Q: > Consider the point P(2,-1,-4) and the vectors a = and b =. Question 2 (a) Find the unit vector u…

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Q: • 111,₂³ Round your answer to four decimal places. Evaluate 2xz dV where E = {(x, y, z) | 1 ≤ x ≤ 3,…

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Q: A consumer is maximising her utility function: U(x, y) = (x¹/3+y¹/3) ³, subject to the budget…

A: This is the problem of optimization.

Q: Find the equation of the asymptote of the given curve 9x2 – 16y2 + 18x + 64y = 91. a. 4x + 3y – 5 =…

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Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R" into an…

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Q: 9x |ထ 8 8 9x = 0

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Q: A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 42…

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Q: a) Solving the initial value problem (IVP) y' = y³/4/x, y(1) = 0 implies finding a solution y(x) of…

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Q: Identify the solution set in the given rational inequality. x² - 8x + 15 x² - 2x + 1 ≥ 1

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Q: Solve the system of equation below using Gaussian elimination method.

A: Introduction: We may state that the provided system is a consistent independent system if there is…

Q: For the polynomial function ƒ(x) = x(x + 3)(x + 2)2, find the zeros. Then determine the multiplicity…

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Q: Identify the solution set in the given rational inequality. NIX + 2 3 4 2x 3x >0

A: Solution set in the inequality

Q: Given P₂={a+at+a₂t² B = {1-t², t+t², 2-t-t²} and E= {1, t, t²} [1] Show that {1-12, t+t², 2-t-t²}…

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Q: b) Endow R2 with the metric dmax. If K = [-1, 1] x {0} CR², find a point (z,y) € R² such that dmax…

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Q: How many of the following characteristics can two different logarithmic functions share, while still…

A: To Find : How many of the following characteristics can two different logarithm functions share,…

Q: In each of the following determine whether the set U is a subspace of the given vector space V. (a)…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Draw the graph of the given rational function. f(x)= = 4-x 9 - 2x

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Q: Consider the geometric sequence 1, 2, 4, 8, .... (a) Find the sum of the first n terms, Sn. Is there…

A: (a) Given  geometric series 1,2 , 4, 8,... The first term is a1=1 The common ratio is =2 Therefore…

Q: Welcome to Murphman’s Amusement Park! A guest of the park would like to start at the Entrance, walk…

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Q: Evaluate JJJB (z sin(x) + y² )dV 1 B = {(x, y, z) |— — — n ≤ x ≤ 1/2 T, 3 ≤ y ≤ 9,3 ≤ z ≤ 8} . 3…

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Q: Use Bairstow's method to determine the roots of 1) f(x) = −2+6.2x - 4x² +0.7x³

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Q: 3. h(r) = 27² T²-1 steps 1)state the domain 2) x- and y-intercepts 3) intervals the function is…

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Q: Derive the general solution form for the following recurrence equation:  t(base n) = 4t(base n-1) +…

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Q: solve the following recurrence equation: t(base n) = 2t(base 2n-1) + t(base n-2) + 2^(n) t0 = 0…

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Q: Identify the extraneous solution-s in the given rational eq. (₁²5) (²+²+²) = ; 6/ x 6/ 1 x² + 12x +…

A: There are certain formulas to remember and we should remember them correctly. Here are some of those…

Q: (a) Find the direction for which the directional derivative of the function f(x, y, z) = √√x² + y² +…

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Q: The function f(x) = ln(5-x) centered at a = 0 is represented as a power series f(x) = £ ¢n(x − a)".…

A: Radius of convergence of the series

Q: (a) (i) Write down the finite difference equation corresponding to the three-dimensional partial…

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Q: QUESTION 4 (a) Explain why the numerical solution of a characteristic value problem of the type u" +…

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Q: Ӏո а ցrоսр оf 6 реорⅼе, ԝhаt іѕ thе рrоbаbіⅼіtу thаt thеrе ехіѕtѕ а реrѕοո ԝіth аո оⅾⅾ ոսⅿbеr οf…

A: Here we will use binomial distribution to find probability for certain number of friend of a…

Q: f(x)=x² Inx

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: Compute the value of the following improper integral. If it converges, enter its value. Enter…

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Q: For the followings problems, consider a function that is twice differentiable. This means that his…

A: 1) At inflection point h'(x) = 0 the interval in which the sign of h'(x) changes from positive to…

Q: 2 3 4 5 6 7 51 49 48 46 43 40 The equation for the line of best fit is y = x + 0=0 X S

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Q: A surveyor stands some distance from a tunnel. From this point, she can see both entrances and has…

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Q: What is the probability of getting a sum of 20 when rolling three fair six-sided dice?

A: We know, Probability of an event E is defined by PE=Number of favorable outcomeTotal number of…

Q: Table: Supply of Lemonade (number of cups supplied per day) Price per cup of lemonade Eric Molly…

A: Option(B) is correct

Q: A parabolic mirror is a mirror whose surface comes from the rotation of an arc of parabola of type…

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Q: The system -2x+y-4z=0 y+2z+7=0 The system has only trivial solution. Select one: O True O False

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