For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums. |0356 8 f(x) | 6 | 5 4 3 5 E) 36 8)30 E) 38 O) None

Q: 1. Let V be the region between the two spheres x2 + y? + 22 x2 + y? + 22 = 2 for z > 0. Let S be the…

A: The solution is below.

Q: Calculate the general equation for the plane V that passes through the point P (1, 4, 5) and is…

A: Given ,point : P1, 4, 5and plane : 2x+4y + z = 0 We know that equation of the plane parallel to…

Q: Q1) Evaluate the integral S dx dy using polar coordinate y 2-y

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Q: Evaluate the following integral using Trigonometric Substitutions Method dx y = 9x2 + 16

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Q: Q4) Find plane area inside polar function r 2 and outside polar function r= -2sine in third quarter.

A: We know the relation between polar and cartesian coordinates system, x = rcos(θ)   ,     y =…

Q: c) By using De Moivre's theorem, find (3/5 – 3i) in the standard form.

A: To find complex no. in standard form using De Moivre's theorem .

Q: 3+ V9 – 4(3 – i) 21 = 3+ V4i – 3 2 How do you solve for the equation above ?

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

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Q: Find the value of the Boolean expression for (x1 ^ (x2 V (X1 A2))) v ((x1 ^T2) V (X1 A 3)|

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Q: Solve. y" + 16y = u6(t). y(0) = y'(0) = 0 S f(t) for t 6 The solution can be written as y(t) Find…

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Q2/ Fit a second - order polynomial tó thẻ đấtă iñ the folowing ble X 6. 1 2 7 Y 8 3 4 -1 4 6.

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Q: 2

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Q: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

A: Given distribution function is  F(x) = 0ifx<1k(x-1)4if1<x<31ifx>3

Q: 11. Given f(x) = e*. (a) Complete the following table. 0.25 0.75 1.0 f(x) = e* (b) Hence, find P,…

A: Given that fx=e-x (a) To complete the given table.

Q: しの * 00 T #3 (Copy) Nhen converted to an iterated integral, the following double integral is easier…

A: Given integral is ∬Rxsec2(xy)dA

Q: |I+ sin? 0 2. Cos? 0 4 Sin 20 Sin?0 一t Cos 0 · 4 Sin 20 %3D Sin 20 Cos20 I tA sin 20 KIKY

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: 5coshx+3sinhx=4,then what is the value of x

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x? ,y = 4.

A: Volume of the solid (V) =∫∫∫dxdydxGiven solid bounded by z=0, z=4-x, x=y2 and x=4 Limits of…

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

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Q: Q: find area inside r=2cose and outside r = 1? %3D

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

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Q: Let f be the function defined by f (x) = cos(/x). OS sin() (c) It is known that f' (x) = cos() and…

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Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A: Here we will cylindrical co ordinate system to parametrize the surface  x=r cosθ , y = r sinθ , z=z

Q: divergent? (1+x)-3=1-3x+6x2-10x3........ explain your answer

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

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Q: Q5) Find volume of body bounded by z = -y? from below and z = x? from above inside y = 0,y = x,x =…

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Q: (a) Apply one iteration of the power method to estimate the largest eigenvalue and eigenvector of…

A: We will use power method to calculate dominant eigenvalue of given matrix.

Q: Scientists used mathematical models to predict the growth of world population, computer converted…

A: Given: There is data of world population.

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

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Q: Q4/solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Given f(x) = x4 - 5x3 + 65⇒ f'(x) = 4x3 - 15x2 x0 = 2

Q: x² + y² + 2z² – 2x + 8y – 12z + 35 = 0

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Q: uppose that we use Euler's method to approximate the solution to the differential equation dy dx…

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 7 Y 2 8 3 4 -1 4 6 00

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: H-w.4 Find the Volumes for the fallowing solids heights are defined by ZCX,y) and bases are the…

A: Volume bounded by the region in xy-plane plane

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Q3) Evaluate triple integral S S dz dy dx.

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Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x – 11) white paper clips. Find…

A: We have to find the total number of clips in bag.

Q: = find area inside r=2cose and outside r 1?

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Q: 1.5 3-y Q1) Evaluate the integral S dx dy using polar coordinate 'y

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Q: 22 – 9a? = 1 4,

A: We have to sketch the graph of given equation.

Q: Q4) Find plane area inside the polar function r 2 and outside polar function r = 2 sin +e) in second…

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Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

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Q: The series converge to n=1 (a)e (b) e – e? (c) – e (d) e – 1 (e) None

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Q: Q3) Evaluate triple integral f, dz dy dx.

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Q: If T : R? → R² is a linear transformation such that 7 (1) - 5 34 6 30 T and T 21 then the standard…

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Q: Find the length of the curve c(t) defined by c(t) = (-4 cos (t), –4 sin (t), t) if 0 < t< 2n and…

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Q: Ql Use Newton methed to find fis), f'ca) 9. to fool! 3. 8. 10

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