Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = Vx² + y2 and the sphere x² + y? + z? = 162.

Q: Find the surface area of a square pyramid with side length 5 cm and slant height 4 cm. 4 cm 5 cm 5…

A: Given :  Side length(b) is 5 cm              Slant height(l) is 4 cm To find :  The surface area of…

Q: Find a unit vector orthogonal to both u and v. (-3, 4, –2) (-1, 1, 0) u = V = 2 2 1 3' 3' 3

A: To find the unit vector orthogonal to both u and v .

Q: Theorem 14. A family F of continuous functrons Wiu. space S is normal in the region 2 of the complex…

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Q: [1 1 1 If A = 1 1 3"-1 3"-1 3"-1 prove that A" =| 3"-1 %3D 1 1 3"-1 for 1 3"-1 all values of n e N.…

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Q: Q3. Point a base of this subspace of R*: W = { (x,v,z,t)| -y+z=0,t – y = 0 }

A: We have to find the basis for the given subspace.

Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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Q: ormulate two models or figures of ellpitic geometry

A: Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold.…

Q: . Prove: For n > 1, n − 1 is a generator of Zn.

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Q: This equation is all about the exponential growth and decay functions. In which tell whether the…

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Q: Find the solution. + -V5.y(1) = 0 3 x-3+ 2x 2 – 2 A y = 9x x2– 3x 2 +2 B 9x x3- 2x 2 + 9x x+3x y =…

A: Given y' + yx = y , y(1) = 0

Q: Calculate the characteristic polynomial of the following matrix A, and use it to compute eigenvalues…

A: We find characteristic polynomial and eigenvalues of A.

Q: Evaluate: ∬▒ 〖4X d A〗 over the region R bounded by the parabola Y = X ^ 2 and the line X = Y-2. A)9…

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Q: 1.  A weighted voting system for voters A, B, C, D, and E is given by {35: 29, 11, 8, 4, 2}. The…

A: 1) according to question, a weighted voting system for voters A,B,C,D and E is given by 35: 29 , 11…

Q: Consider a mini-web as a dynamical system. Let A be the coefficient matrix of this system and a be a…

A: Given that, A=Coefficient matrix of system x→=Distribution vector λ=1. The objective is to prove…

Q: 6Chair made in 2 houss how

A: Two hours are required to make six chairs. It follows that one hour is required to make 62, i.e., 3…

Q: Suppose that V =Span « Determine whether each of the following sets is a basis for V: 2

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Q: 4. Give an example of a function f: S4 Za that is not a homomorphism. Justify your answer. 5. Give…

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Q: f(x)= sen (2x) f(x)= sen (2x) On = 0 f(0n) = sen(2x0) = 0 = 3.9269 %3D %3D %3D = 0.7853 4…

A: The given function is fx=sin2x

Q: Use Green's theorem to evaluate the line integral frdx + (a - 20)dy where C is the boundary of the…

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Q: et (t2 – 25)y' + ty t + 15 Find the largest interval on which the solution of the initial value…

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Q: 3. Use the given graphs to sketch the graph of Ax) + g(x). Explain your process. [A3] [C2] g(x) Ax)…

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Q: Question 2 Let z, and zz be two complex numbers such that z, = 3+ 4i and z, = 2 – 2i. Compute the…

A: Solution

Q: The grid below shows the point 4(8, 2). Find its image point after a reflection in cach of the…

A: 1. Now we shall determine the point after reflection in x axis. Given point is (8,2) Therefore after…

Q: Let a = (17 3)(5 94 2) and B = (2 3)(7 4)(5 1 8) be elements of S10. Then, a²B- is O (1 4)(27 539 8)…

A: Given permutations: α=(1 7 3)(5 9 4 2), β=(2 3)(7 4)(5 1 8). To find: α2β-1.

Q: Q3) Given the following Z-transform which is factored using partial fraction expansion, then В + z2…

A: Solution

Q: Question 11 Find the solution. d'x d?x dx + -2-=0 dt dr3 dr2 Ay = c,t+c,e+c,e -21 y = c,t+c,e"+ c,e…

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Q: maximum point of y X – 2

A: Given equation: y2=x2x-2

Q: Let A = {1, 2, 3, 4, 5}. Define an operation v by a vb = max {a, b}. Prepare its composition table.…

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Q: 13-Evaluate JJJ where E lies between the spheres x2 + y2 + z2 = 1and %3D zdV E x2 + y? + z? = 4 in…

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Q: L2 cos (0) + L, cos (a - 0) | y = y1+L2 sin (0) – L, sin (a – 0). Combining the above two equation.…

A: for cosα we have to find way to eliminate θ . For tanθ we can use ratio of x-x1 and y-y1 .

Q: Triangle A'B'C' is a projection of triangle ABC. • Points C, C', and Q are on the same line. •…

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Q: Determine if the statement below is true or false. Justify your answer. If f"(c) = 0, then (c.f(c)…

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Q: 4. Find a third-order linear homogeneous differential equation which has the function r(t) = 3e-t +…

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Q: If y=sech (kx") and (

A: Given,       y=sech-1(kxN)   and (1-289x10)(y')2=Ax2

Q: Find the value of the annuity at the end of the indicated number of years. Assume that the interest…

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Q: Solve the following numerical problems and provide all your pertinent solutions: Sketch a graph and…

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Q: find a real root of the equation x-4x-9 0

A: Let f(x)=x3-4x-9 Substitute x=1,2,3 one by one in the function to obtain the corresponding values of…

Q: 10 If $400 per month is deposited into an account earning 6.2% compounded monthly, the value of an…

A: Annuities are of two types  (i) Ordinary annuities and (ii) Annuities due  Ordinary Annuities : An…

Q: :Find the inverse transforms of the function 3 G(s)= 3s? +12 s² – 49 S |

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Q: 3. If interest is compounded quarterly, how much will P100,000 be at the end of one year at 12%?

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Q: Question 11 : Determine whether the given two matrices are similar : [2 0 1 A = |2 1 1 and B = |1 0…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 y + 5 = z +…

A: Let L be  the line passing through the point P ( x1, y1, z1) and parallel to the vector a i + b j +…

Q: Using conditional proof, show that ¬q → s can be derived from the following premises: p → (q → r),…

A: “Since you have posted a question with multiple sub-parts, we will solve the first and second…

Q: use Newton-Raphson method to obtain a root of equation x'-5x+3=0

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Q: 5x1=?

A: The given operation "×" is multiplication. If we multiply any number other than 0 by 1 then it will…

Q: suppose that peoples heights in centimeters are normally distributed with a mean of 170 and a…

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Q: You randomly choose a ball from a bag. The bag contains 3 red balls, 10 green balls, 8 blue balls…

A: We want to find probability of choosing green ball.

Q: Find a homomorphism from the group (Q, +) to (R, +). Find a one-one map if exist from Q to R that is…

A: Given :  (Q, +)  and (R, +) be the given additive groups. To find :  A homomorphism from (Q, +) to…

Q: Q.1 Evaluate

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Q: 12. Which line of reflection maps segment AB to segment CD, where the endpoints are A(-4, 2),…

A: We have to find the line of reflection.