Show that the osculating plane at (x, y, z) on the curve of intersection of the cylinders x³ + x³ = (², y² + x² = h²¹ is given by **²-12-² 2 88 7-12-16

Q: For the function f(x) = A. Domain B. Intercepts C. Symmetry x+5x 25-22 do the following.

A: As per the guidelines I have solved first three sub parts.

Q: 3 Z3 [x]/(x² + 1) (not reduced mo coefficients did modulo 2).

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Q: For the function f(x) = 47³-10²-112+1 x 3 A. Domain B. Intercepts C. Symmetry D. Asymptotes E.…

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Q: Solve each equation for x. Give both an exact value and a decimal approximation, correct to three…

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Q: An inheritance of $250,000 is invested at 9% compounded monthly. If $2500 is withdrawn at the end of…

A: We know the formula for annuity, PV=PMT1-1+rn-ntrn We have given that PV=$250000, PMT=2500, n=12,…

Q: The matrix has eigenvalue > = 4 with an eigenspace of dimension 2. Find a basis for the…

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Q: 6. Find the equations of the asymptotes for the conic 25x²-150x-16y²-64y-239=0

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Q: Consider the series R10 ≤ n = 1 (a) Find the tenth partial sum, $10. (Round your answer to six…

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Q: 4. How many edges does a graph have if its degree sequence is 5, 2, 2, 2, 2, 1? Draw such a graph.…

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Q: Consider AGHJ in the figure below. The perpendicular bisectors of its sides are KN, LN, and MN. They…

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Q: Determine whether the alternating series 80 Σ (-1)+1 2 converges or diverges. n=1 Choose the correct…

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Q: A biased coin is flipped 7 times. In a single flip of the coin, the probability of heads is 1/3 and…

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Q: Tuberculosis (TB) is one of the top 10 causes of death worldwide. According to the World Health…

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Q: 3. A football is in the shape of a solid obtained by rotating an ellipse = 1 about its major axis.…

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Q: You borrow 150000 DHS from your dad and promise to pay back 176550 DHS in thirty-six (36) months.…

A: We use the following:

Q: Given 3( x + 4) = 30 then x =

A: Given equation is               3(x+4)=30 now we are dividing by 3 on both sides  then    x+4=10

Q: Determine the eigenvector(s) of R = [0.5 −0.5 0.75 1.25]

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Q: Suppose (4,3) is a poset and for any pairs (x, y) and (a, b) in AxA define (x, y) ≤ (a, b) if and…

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Q: Working directly from the definition (and without using the Cauchy Completeness Theorem), show any…

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Q: 11. Determine the medians and interquartile ranges for the hypothetical test scores shown in each of…

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Q: The athletics club is ordering tee shirts so it has them ready when new members join. The shirts…

A: The given problem is to find that how many tee shirts can be purchased if the club has $260 with…

Q: y" + y = e-t y(0) = 0, y'(0) = 0

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Q: Solve the initial value problems given in Problems 21 through 26. 21. y"-4y' + 3y = 0; y(0) = 7,…

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Q: the ellipsoid Show that the tangent at any point of the curve of the intersection of + = 1 and the…

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Q: For each of the following, determine whether the Ratio Test is inconclusive (that is, fails to give…

A: We know that ratio test for convergence of series, A series ∑n=1∞an is said to be convergent if…

Q: Q1- Evaluate the integral J₁ (x) dx

A: The recurrence formula for bessel function

Q: - √ ² (² (x - t)u(t)dt 0 12. u(x) = 1 - - 54

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Q: if p. (144) =(-¹) ove tha pand gare distin (p-1)(g-1) 4 aci

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Q: Volumes of solids Use a triple integral to find the volume of thefollowing solid. The wedge of the…

A: The solid is formed by the wedge of the cylinder x2+4z2=4 created by the planes y=3-xand y=x-3. We…

Q: Graph the logarithmic function. g(x)=3+ log1/3* Plot two points on the graph of the function, and…

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Q: The payoff matrix and strategies P and Q (for the row and column players, respectively) are given.…

A: Since you have asked multiple question we will solve first question for you. If you want any…

Q: Show that the square of an average is less than or equal to the average of the squares. More…

A: Show That : For a1, a2 , a3 ,......,an∈R , the square of the average of a1, a2 , a3 ,......,an  is…

Q: Solve using Laplace transform "+2y+5y=sin(3r), y(0)=1, y'(0) = -1

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Q: Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper…

A: Given matrix is symmetric . So it can be diagonlized orthogonally.

Q: 5. Find the volume of the solid between the spheres x² + y² + z² = 4 and x² + y² + z² = 9, and…

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Q: 2. (Counting Elements of Finite Sets). Let A, B, C be finite sets. Show that |AU BUC| = |A|+B+C|-|An…

A: The given problem is show the identity of counting elements of union of finite sets A , B and C.

Q: A waveform is periodic with period 2π and over one cycle is defined by -π<t≤0 0<t≤ π/2. π/2<t≤π Its…

A: Given: ft=-6 , -π&lt;t&lt;00 , 0&lt;t≤π23  , π2&lt;t≤≤π To find: (a) Enter c0. (b) The real…

Q: Let f(x) = 4 + 6x X = We see that the first term does not fit a pattern, but we also see that f()…

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Q: Calculate ffs f(x, y, z) dS For Js f(x, y, z) ds = y=5-2², 0≤x, z ≤ 5; f(x, y, z) = z

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Q: 5. Solve using Laplace transforms. y" - y' + 5y = 58(t-/6) sint y(0) = y'(0) = 0

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Q: Let T: P₂ → P3 be the linear transformation T(p) = 8xp. Find the matrix A for T relative to the…

A: Let, T:P2→P3 be a linear transformation  defined by:  T(p)=8xp We have to find the matrix A for T…

Q: Consider the following. T is the projection onto the vector w = (3, 1) in R2: T(v) = projwv, v = (3,…

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Q: Write the Taylor series for f(x) = x³ about x = -2 as Find the first five coefficients. CO= C1= C2=…

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Q: = For what values of k does the graph of f(x) a) k > 64 b) * 4 d) k < 64 x² + 16x + k x² + 7x have…

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Q: Find the work done by F over the curve in the direction of F = 2xyi + 2yj-yzk r(t) = ti+t²j+ tk,…

A: Formula for work done is  W=∫abF.r'dt Where F=F(r(t))  We have  F=2xyi+2yj-yzkr(t)=ti+t2j+tk, 0≤t≤1…

Q: Alexa and Erik plan to send their son to university. To pay for this they will contribute 9 equal…

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Q: The recurrence relation for the Bessel function J₁(k) with the first coefficient C_1=1 leads to 1…

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Q: f(t)= { -t t -75t 50 °<t <=

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: How many numbers are there in the set {1,2,3,...,200} which are divisible by either 7 or 9 but not…

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Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = y² about the line x…

A: Introduction:   A solid of revolution is the result of rotating a section of a plane around a line…