1. Let X be the graph of f(x) = x2/3 given below

Q: 1. Use the change of variables = u? - v², y = 2uv to evaluate the integralS Se ydA, where R is the…

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Q: Denote that G is a parametric curve x(z) = z2-z-2 y(z) = z²-=2+z Calculate whether if G is concaving…

A: Sol

Q: empt in Progress Find the volume of the solid that results when the region enclosed by y = Vx, y =…

A: We have to find the volume of region.

Q: A hiker set out from a straight east-west road on a bearing of N44° E and hiked for 22 miles before…

A: bearing N 300 E means the direction is 30º east of north. similarly  S150Emeans the direction is 15º…

Q: Find the determinant of the given matrix using the following method:

A: Sol

Q: egral dS over the su 9, where n is th surface element

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Q: engineer, and a teacher, not in the same order. They also have Daniel, Bobby, 14. There are three…

A: Drawing a picture or table will help to solve or give a better understanding for  this type of…

Q: 2. Use Green's theorem in order to compute the line integral P (x – 4)³ dy – y³ dx where is the…

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Q: d?y + 4 + 4y(t) = 2e-tu(t) , y(0) = 3, y(0) = 0 dy dt2 dt

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Q: During one shift, the express lane clerk recorded how many times customers violated the "10 items or…

A: Given: To determine: The frequency of times the limit was exceeded by less than 4 times.

Q: Solve the following equation: ye®Y dx + (xe*Y + 2y)dy = 0 1. xe®Y + 2y? = c xe®y + y? = c 3. ey +…

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Q: If the ideal gas law (PV= kT) is used to find P when Tand V are given, but there is an error of 0.3%…

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Q: Verify Green's Theorem by evaluating both integrals dk + x° dy = /. / dA ду for the given path. C:…

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Q: 3.) Find the area bounded by the curve y? = 2x and y =x-4 a.) Using Vertical strips b.) Using…

A: Given: The equation of the curve y2=2x andy=x-4. to find the area bounded by the curve using…

Q: Problem 5. Let N = {(x, y) E R² | 0 < y < 1- x²}, and define the divergence form operator Lu : =…

A: Solution

Q: 3. All vertical parabolas. Ans: 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: Problem 3. Show that the function cos(n²r) f(x) = 2n n=1 is differentiable on [0, 1] and f'(x) is…

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Q: Answer the following multiple-choice. awestion below algebra #14, A is a 3x3 matnx. The soutuns to…

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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: Find the total area enclosed between y = x° and y = x over the %3D interval [-1,5]. NOTE: Enter the…

A: We have to find the Area bounded by given curves.

Q: Construct a 3 x 4 augmented matrix, in reduced row echelon form, such that the solution set of the…

A: Since we have to construct 3×4 augmented matrix so we have 3 equations in 3 variables in a system of…

Q: 3. Given the Maclaurin series I calculated for f(x)= sin x from the video on Maclaurin series, write…

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Q: Given any set of 15 integers, must there be two that have the same remainder when divided by 12?…

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Q: 2 given x(t)-t+4 where -4 tS2, find x(-2t+4) a. x()=4t+4 where, 1sts1.5 b. x()= -4t+6 where, 1sts1.5…

A: We have to find value of x(-2t+4)

Q: Determine whether the following operations are linear or nonlinear 1. ƒ (x) = SQRT f(x) 2. ƒ (x) =…

A: We have to determine that the following operations are linear or non linear : (1) Afx = fx (2) Afx =…

Q: Runge-Kutta fourth order method is used to dy solve the differential equation = (y – x). - dx If the…

A: Given y'=(y-x), step size(h)=0.1, We find y(0.1) by using RK4 method.

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

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Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x +y Subject to: 2x + y56…

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Q: yz do where o is the part Calculate the surface integral of the plane z = y + 3 that belongs to the…

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Q: Given the function f(x)=4.8cos(x)-5sin(x); Find the minimum value using Golden-section search…

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Q: Draw these graphs. a)       K1,4 b)       W4

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Q: luate Sa F . = 3x² i + (=

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 2)i + tj, 0 sts1

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Q: 1. Solve the inhomogeneous heat equation du +x, 00 with initial condition u(z,0) = " -= %3D 6. and…

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Q: Find a harmonic function o on the upper half-plane that takes values ø(x) = 0 for |a| > 1 and $(x) :…

A: Sol

Q: Find the most general antiderivative of f(t) 8 cos(t) +6 sin(t).

A: We have to find the general antiderivative of given function.

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: At what time between 8 and 9 o'clock will the minute hand coincide with the hour hand? A. 8:42.5…

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

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

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Q: A cylindrical tank of radius 20 ft and height 3 ft is two-thirds filled with water. Find the work…

A: The given radius r of the cylindrical tank is 20 ft and its height H is 3 ft. Water fills two-thirds…

Q: The Milwaukee Brewers Baseball Team has their mascots race each other around the entire field during…

A: 1. Given radius is 275 ft. Central angle is 90 degrees. Hence the length of the outfield is:…

Q: 1 by comparison to the geometric series. 1-x' Write the power series for

A: Power seriese expansion

Q: (3) Find the particular solution passing through point (2,-2) at t= 0. Don't do more work than you…

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Q: Ferential equatic e3x is given by

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Q: uestion: The half-life of a certain substance is 5.9 days. How many days ill it take for 30 gm of…

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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: 2. Given f (x, y) = x + 2y, find F(x, y) =Vf and sketch it along with the contour map of f.

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