Example 2. Fit a parabola of second degree to the following data: 4 8. 10 Y 3.07 12.85 31.47 57.38 91.29

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A: We have to find how long will it take for the drug to decay to 88​% of the original​ dosage using…

Q: f (x) = In(a² + 4x + 14) Find the Critical Points Find where the first derivative is equal to 0.…

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Q: Use the transformation u=-2.= 3y and =z to evaluate (5- Sy) de dzdy.

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: 6. f(t) = 5cosh(3t)-sinh(4t) %3D

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Q: Exercise 4.2.3. Let H be the set - {(; ?) H = : х,у € R (1) Show H- {0}is a group under matrix…

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Q: 12.2.7. Suppose that Q := {(x, y) e R : x > 0 and y > 0} and that f is a continuous function on R?…

A: Sol

Q: Write p(x)p(x) in telescoping form if p(x)=x5+3x4−15x3+x−10.

A: Given function is px=x5+3x4-15x3+x-10

Q: y" – 2y' + y: [12x – 4]e-Sx %D -

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Q: Find the root of cos(x)-x?-x using the Newton-Raphson method.(Use radians in solving)

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Q: Compute the flux of the vector field F = 2xi + 3yj through the cylindrical surface shown below, if a…

A: We have to compute the flux of the  given vector field.

Q: Assuming a,b, y1,y2,y3 are all dimensional vectors, order matric A= (a,y1,y2,y3), B=(…

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Q: The graph of a periodic function f is shown below. f(0) 1 -2 -3 -4 a. What is the period of f?…

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Q: 2. Find the Mclaurin Series expansions of cos(x) + sin(x) up to Tenth order.

A: We have to find the Mclaurin series of cos(x) + sin(x).

Q: (a) Calculate the least squares estimates of the slope and intercept. Graph the regression line. (b)…

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Q: Find the real eigenvalues of the matrix -2 -1 -7 -1 3 3 A = -3 -1 -6 -7 3 1 8 9 The real eigenvalues…

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Q: 9. Find the four arithmetic means between 19 and 54. a. 24, 31, 38, 45 b. 25, 32, 39, 46 c. 26, 33,…

A: Given number are 19 and 54

Q: Use the inner product (u, v) = 2u;v, + uzv2 in R2 and the Gram-Schmidt orthonormalization process to…

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Q: 5. The length a,b, and c of the edges of a closed rectangular box are changing with time. At the…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: I = 10+ 2s x - 1 Consider the lines defined by the equations ( : y +3 12 - z and l2: 9. y = 5s z =…

A: We first find the point of intersection of l1 and l2. Also we find equation of the plane containing…

Q: Select from the subsections the option that presents the integral that is obtained by correctly…

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Q: Set up, but D O NOT SOLVE the system to compute the least squares solution to the following system.…

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Q: Investor Dan has $625,000 to invest in a CD and a mutual fund. The CD yields 4.3% and the mutual…

A: We will construct a linear programming problem according to the given informations and will solve it…

Q: 21. The set B = {1+t°,t+t²,1+2t + 2°} is a basis for P2. Find the coordinate vector of P(r) = 1+4t +…

A: The given question is related with linear algebra. Given that B = 1 + t2 , t + t2 , 1 + 2t + t2 is a…

Q: A phone company charges customers a fixed 40 dollar service fee plus $0.10 per megabyte of data…

A: Given that, A phone company charges customers a fixed 40 dollar service fee plus $0.10 per megabyte…

Q: A continuous – time system is represented by the following differential equation, d²y(t) +7dy(t) dt2…

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Q: X1 + X2 – X3 = -3 6x1 + 2x2 + 2x3 = 2 - 3x1 + 4x2 + X3 = 1

A: We have to solve this.here we use cramers rule to find the value of X1,X2,X3.

Q: The following are sets in R². Assume these sets include the boundary lines. For each, give a…

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Q: Having the following as matrix A and B, which the following is true? A = 1 2 B= 4 5 0 6 3 2 Select…

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Q: Use Laplace transforms to solve the initial value problem. x''+4x'+3x=1;  x(0)=0=x'(0)

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Q: Use Stokes theorem to compute curl F- NdS for the vector field F(z, y, 2) = yi +aj+zk. where Sis the…

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Q: 9-2a æ f (x) = 5xe®- Find the Critical Points Find where the first derivative is equal to 0. Enter…

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Q: 3.19 Suppose if r = 0, f(x) = {-1)" if r E n+1' n where n E N. Prove: f € R[0, 1], even though f has…

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Q: If possible, find the Boo below. If not possible state so. [O 1 0 A = |1 0 0 Lo 1 1

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Q: Solve the wave eguatan 4au in R (3-4) with indtral data uiçol=3r ir, 0) = 0 .

A: The given wave equation is  utt=4∆u=4urr with initial condition ur,0=3r, utr,0=0.

Q: A sequence (ak) from k=1 to infinity has a corresponding sequence of partial sums (sn) from n=1 to…

A: Answer: ak= 1/(k(k+1))

Q: 1. Find the Mclaurin Series expansions of cosh(x) up to fifth order.

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Q: Chantelle is swinging back and forth on a trapeze. Her distance from vertical support beam in terms…

A: Given that,Sinusoidal function is of the form y=asinkx-d+cAt 1 s, she is the maximum distance from…

Q: 3.7 Suppose f and g are in R[a, b] and f(x) < g(x) for all r € [a, b]. Prove: f(x) dr < | g(x) dr.…

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Q: If F = 2 3 4 2 0. and d= 2 2. Select one. O a. 8 10 Ob 10 8 Oo 10 Od.undefned

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Q: +0, then the matrix H = I – 2- vv7 is orthogonal and symmetric. Show that if the vector v

A: Given  H=I-2vvTvTv

Q: .053 + 2.042 e(2.155+1.648/)t cos( sin( %3D

A: We expanded the exponential as euler formula

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

A: The given sum is: ∑n=1∞21nn+3 Split the summand using partial fraction. Let 21nn+3=An+Bn+3. Using…

Q: Find the roots of the following nonlinear equations. Note: Only one root is needed to find. 9. Find…

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Q: INSTRUCTIONS: Solve the following problems completely. 1. Mr. Stevenson owns an oil refinery in…

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Q: Calculate the line integral f (VS) ·d7 for f(r, y) = -cos(2r-y)+ yr + y? and the curve C given…

A: Solution

Q: The amount of $200 is deposited at the end of every six months into a savings account that pays 3%…

A: Given A=$200 n=5 years=10 half years Interest rate is 3% compounded semi annually. then i=32=1.5%…

Q: If JG = 5x + 4, JH = 3y + 2, JF = 14, HK = 4z - 8, and KF = 12, find x, y, and z.

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Q: Suppose fé Ra, b]. Prove that b- a lim b- f(x) dr. k=1

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Q: 13. A right circular cylinder is inscribed inside a sphere with radius r 3 inches. Find the maximum…

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Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(1)…

A: Given, the velocity function            f(t)=e-t22 , 0≤t≤4, for n=60