The base of a three-dimensional figure is bound by the graph x = cos(y) + 1 on the interval [-n, r]. Vertical cross sections that are perpendicular to the y-axis are squares. Algebraically, find the area of each square.

Q: Find all solutions of the system of congruences X= 6 mod 7 X =1 mod 5 I =1 mod 3.

A: Use Chinese Remainder Theorem.

Q: Activity 3 Construct a square with vertices G, R, E,A and T on the space provided below. Follow the…

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Q: (ii) A non-linear differential equation of second order and second degree (ii) Second order and…

A: If y=f(x), the variables x  and y are called the input and output of the function respectively. The…

Q: 3. Kenny wants to invest $ 250 every three months at 5.2% a compounded quarterly. He would like to…

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Q: 4. Find the solution to the following system of equations. Show your work. x+y= 10 x-y = 2 You may…

A: To solve the given system of equations.

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

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Q: Question 2: Find the inverse Laplace transform of 10 a) F(s)= s(s+2)(s+3)? b) F(s)=- s+4s+5 1 c)…

A: The given problem is to find the inverse Laplace transforms of the given functions F(s). We have to…

Q: 2- y(x + y +1 ) dx – x(x + 3y + 2)dy = 0 Reducible to Exact Method

A: We have to find general solution of given differential equation which we reducible to exact method :…

Q: Do the given points lie on a straight line? а. (1, -1), (-1, -5), (2,1) b. (-2, 2), (5, -8), (-7, 9)

A: The slope of the line between the points x0, y0, x1, y1 is y1-y0x1-x0. Calculate the slope of the…

Q: Express your answer numerically as an integer. v View Available Hint(s) Hint 1. How many nonzero…

A: A number system is defined as a system of writing to express numbers. It is the mathematical…

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: The solution of the problem is given in the next steps.

Q: (4,28) is a maximum or a minimum point of the function g(x) = -x3 + 6x? – 4. Verify whether the…

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Q: Apply Newton’s method twice to approximate 7^(1/3) . Use the initial approximation xsubscript 0=2

A: We have to use the Newton Raphson method to approximate the value of the expression 713. We have to…

Q: Find a basis for the nullspace of the matrix (If there is no basis, enter NONE in any single cell)

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Q: Find the volume of the area bounded by the curve y²=12x and the line x=3 revolved about x=3

A: Finding the volume of solid generated by given curve

Q: Problem 6. Consider the plane, X, in R given by the vector equation: x(s, t) = (1, –1,2) + s(1,0, 1)…

A: The complete solution is in given below

Q: 7. Evaluate fff, 4xydV, where E is the solid bounded by z = 2x2 + 2y2 – 7 and z = 1. You must use…

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Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric desaription…

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Q: Consider the folowing. X - 8 cos e Y - 5 sin a (a) Sketch the curve represented by the parametric…

A: We have to sketch the curve.

Q: Зх — Зу — 6z %3D -3 2х — 2у — 4z 3D 10 2х + Зу + z % 7

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Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

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Q: Find the solution. (y -x + xy cotx) dx+ x dy = 0 A xy tanx ccosy +secx - xcosx B xy cosy = c + sinx…

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Q: Solve using the hethad oF wndetk mned.coefficien ts yu +3y +2y=6

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Q: Use the laplace transform to solve 3r'-y=21;x'+y'-y=0; x(0)=y(0)=0

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Q: undetermint coedticients 11 ON-4y = G²-3) sin x

A: The given problem is to solve the given non homogeneous differential equation using method of…

Q: are independent co-ordinates of a point, show that = &

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Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: The complete solution is given below

Q: Find the general solution of the differential equation y" + 2y' + 5y = 3 sin(2t). NOTE: Use c1 and…

A: We find the general solution of the DE y''+2y'+5y=3sin(2t)........(1)

Q: (n+1)x*! – x* . cos ((n+1)x) dx, where n is 4

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Q: AXYZ is isosceles with base YZ and M is any point on YZ. Prove that a. ZXMY > ZY Z. b. XM < XY M

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Q: Expand the function , in a power series E anx" with center c = 0. Find a„x". 8+7x n=0 (Express…

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Q: Expand the function , in a power series anx" with center c = 0. Find a„x". 8+7x %3D n=0

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Q: 3. For each of the following, decide whether there is one solution, no solution or infinitely many…

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Q: Find the solution of the initial value problem 1 5y" – 6y' + y = 0, y(0) = 5, y'(0) = 5' Then…

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Q: Let f E Sn- s it always possible to find an m EN and m > 1, such that fm = f? %3D f this is…

A: This is the question of Group Theory.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Use the given equation of lines to solve.

Q: 1. Use the cylindrical coordinate to evaluate ff. x² + y²dV _where G is the solid bounded by…

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Q: B- {-x+x², -x², l-x5 2 2 C=? 2+x -x?, 2-x?, 3+x=2x2} 1 2+ X a) Find the a). change of basis matrix…

A: Given that  B={-x+x2,-x2,1-x} and  C={2+x-x2,2-x2,3+x-2x2} We find the change of basis matrix…

Q: 2. A factory is producing components packed in boxes of 10. 1% of the components is known to be…

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Q: Approximate the arc length of the curve y = x over the interval [1, 2] using the trapezoidal rule…

A: Introduction: The length of arc of a given curve over a given interval is another important…

Q: (1) Consider the following differential equation, with time domain t e (0, 1): Sv = (-1)y. u(0) = 1.…

A: The complete solution is in given below.

Q: Solve for the following to find the inverse laplace transform.

A: Introduction: Laplace transformation in of the most important integral transformations that…

Q: Solve the Laplace Transform F(s) of the given f(t). f(t) = - cos(3t) sinh(4t) – 4

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Q: Obtain graphically an approximately value of the root of x = sin x + Tt /2

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Q: Find the solution of the initial value problem y" + 2y' + 2y = 0, »(E) = 0, y' = 7. y(t) =

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Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

A: We can solve this using given details and used formula

Q: 3. The heart rate for a group of patients at a local hospital is normally distributed with a mean of…

A: To find the percentage of patient's heart rate.

Q: Factorize the matrix into LU decomposition. [0 5 41 A = 5 1 2 1 2 3.

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Q: 6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4; y(0) =y'(0) = 0 using…

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Q: a) Draw a neat sketch of your garden design below. You must use a ruler for straight edges and a…

A: The length of the boundary of any geometrical shape is called the perimeter. The perimeter of a…