1.5 3-x Q1) Evaluate the integral * dy dx using polar coordinate

Q: Consider the function f(x) = 24x³ + 3x² + 8x + 12. Show that f(x) is 0 (x-) determining a pair of…

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Q: Find a vector potential field for Ġ = [6xz+x³, –3r²y – y², 4.x + 2zy – 32²], i.e. find F such that V…

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Q: 1 3 313 30 2 2 1 1 201 2 0 11 3 6 0 2 1 4 2 3 2 10 2 4 2 1 1 1 1

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Q: 2. Find a root of f(x) = 6 Sin (x)e* + 1 using Newton Raphson Method accurate to 5 decimal places.

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Q: Ex.5. min (may [ fi Ca) =5 x,t Arz , fz G) = - x,+ 2 ] sit. 6xit Axy S 24 Xit 2X2 fz (x) = - x,+ 2x2

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

A: The normal equations are

Q: Let c be a positive integer. Compute the values of the following improper integrals. Leave your…

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Q: Prove that the piece-wise function defined by 3x- if z -2 is integrable on [-4,7]. (Hint: do not use…

A: The given function is                             fx=3x-1x         if x<-2-112           if…

Q: Find the area of the shaded region. The image is not to scale. y= y=- Consider c=64. Enter the exact…

A: We want to find area of shaded region.

Q: (iüi) (iii) dydx x/3

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Q: If AC congruent to AB and CD congruent to BE, which theorem or postulate can be used to prove ACE…

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Q: Solve the following IVP by the method of Undetermined Coefficients: y′′−3y′+ 2y= exsin(x); y(0) =…

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Q: 3. Find the Taylor series expansions of 10x5+5x3 – x³ centered at a = 4

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Q: Equilibrium Point 5,500 Yaster Cookware is planning to introduce a new line of cast-iron pans. A…

A: Find the quadratic model for the given price and demand data as shown below. From the above…

Q: 5. Find all the zeroes of the function f(x) = - 0.5x + 2.5 x+ 4.5 using False Position Method…

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Q: dy Use implicit differentiation to find dx 46 x° + sin y=x y ..... x* (4y8-5x) cos (y)-6yx dy dx

A: Your written answer is correct!   Given expression is x5 + sin(y) = x4y6

Q: A room 30 m by 22m is to be illuminated by 34 W fluorescent tube mounted 3m above the working plane…

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Q: Test the following data table to see whether the data are quadratic. x 0 4 16 32 44 y 4 12…

A: We have to find the first differences and second differences from the given data.

Q: Solve these linear equations by Gaussian Elimination. 2w + x – y + 2z = 5 4w + 5x Зу + 62 - -2w + 5x…

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Q: Part: b:Let W be the set of all vectors of the form shown below in parts į and ii. In each part,…

A: A non empty subset W of a vector space V is said to be a subspace of V is:1. for all u, v ∈W we…

Q: A study showed that every 100 grams of red meat consumed per day increases the risk of colorectal…

A: Given: 1 in 20 American men will develop colorectal cancer in their lifetime. To find: 1) Write the…

Q: - 0.2 t N=N,e

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Q: For Item # 8- 10: The function f (t) = t + 4t- 5 shows the number of pieces produced by a…

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. F(s)…

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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: An aunt wants to make a gift of $120,000.00 to their niece's for her college education on her 18th…

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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: Example 1. Fit a second degree parabola to the following data: 1 2 4 y 1 1.8 1.3 2.5 6.3

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Q: 1. Determine a positive root of f(z) = a+ 2x2 + 10r- 20, using the Newton's method and an initial…

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Q: Consider the function given by y = cos(bx) on the interval (0, 2). (a) Sketch the graph of y =…

A: Introduction: The cosine function is a significant trigonometric function. It is a periodic function…

Q: You have $400,000 saved for retirement. Your account earns 6% interest. How much will you be able to…

A: From the given information, the present value is PV=$400,000, rate r=0.06, time t=20 and n=12. Note…

Q: C. Translate the set builder notation into words 6. {X€ Z|-6 s x s 10} 7. {X€N|2x 2 5}

A: We have to translate the given set builder notation in to words.

Q: -8 Use series to approximate the value of the integral with an error of magnitude less than 10 0.13…

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Q: 1. This is the central value or average of the probability mass function of a discrete random…

A: 1) the central value or average of the probability mass function of a discrete random variable…

Q: 1. D?(D – 1)y = 3e* + sinx 2. (D² + D – 2)y = 2x – 40cos2x - -

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Q: The solution of the differential equation dy dy 3 dx + 2y = e3* is given by dæ?

A: Given differential equation is d2ydx2 - 3dydx + 2y = e3x

Q: y3 x³ – 4x – 1 = 0 3 Consider the implicit curve This implicit curve actually is a function, though…

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Q: 1. sin 3at where a is any positive constant and s > a. 2. - (e-t - e-t) st – 3. (1 – cos 2wt) where…

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Q: A simplified version of input-output analysis of a national economy has the following input-output…

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Q: Determine whether the vectors vi=(1,-2,3),v2=(5,6,-1),v3=(3,2,1) are linearly independent or…

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Q: 1 2 2 -1 0 3 find If D = and E = 3 2

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Q: sinh 3x –1 H(x)=: 1+cosh 3x –1

A: Given: H(x)=sinh3x-11+cosh3x-1 To solve: The given function.

Q: Evaluate the following integral by: a) single application of Simpson’s 3/8 rule

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

Q: 1. Consider the following nonlinear system: ài = fi(r1, r2, r3) + 91 (a1)u à2 = f2(a1, #2, 23) %3!…

A: Given,x1.=f1(x1,x2,x3)+g1(x1)…

Q: P (X=(X+X/3 ), for x = 0,1,2 3 4 find what's to come P(x 2 3) P[( x=3) U(x=4)]• P(x=3) + P (x=4)•

A: Given P(X) = 1D(X + X/3)  ,  for  x = 0, 1, 2, 3, 4

Q: (1 0 1 1 3 Consider the matrix A = -2 8 1 4 -1 |Determine whether the matrix is invertible or not…

A: The given matrix is: A=10113-20008221-4-1-1 (a). Observe that third and fourth columns are…

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

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

A: Let z be the cost function. The volume of the cylinder must be 450 cubic centimeters.

Q: u(, 0) - R° cos(s® s cos(sa) S cos| sa

A: Solution

Q: The coefficient of (x - 2)4 in the Taylor series expansion of f(x) = 3 log x - log x² about x = 2 is…

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