10 p sino dpd@oe

Q: 1. What is the integral that describes the enclosed region between y = 4x- x and the x - axis ? A.…

A: We will use the properties of definite integral and area function to solve the given problem.

Q: A cone is placed over a sphere so that the sphere is tangent to the side of the cone and also…

A: Given that, A cone is placed over a sphere so that the sphere is tangent to the side of the cone and…

Q: Consider the ordered bases B = ((5, 4), (6, 5)) and C = ((-2,0), (0, -4)) for the vector space R?.…

A: Note: We are entitled to solve only one question at a time and up to 3 sub-parts only. As the…

Q: Consider the ceiling function [2] = min{z € Z]z > r}. This basically rounds up any real number. For…

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Q: can you also answer no. 3.

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Q: 4. Evaluate sin (44°) + COS (290) using differentials. Refer to special triangles.

A: To evaluate  sin440+cos290 using differentials.

Q: 9. Find the critical points of the autonomous differential equation dy = y - y', sketch a phase…

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Q: 6. Find the general solution to y" – 6y" = 3 – 6e2z

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Q: The sum of three numbers is 6. If we multiply the third number by 2 and add the first number to the…

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Q: use the figure where PQ || || BC. A P. 12 18 C В If AP = 18, PB = 27, and AQ = 54, what is QC? 30 27…

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Q: The value of the triple integral 2x dV E where E is the region inside both x2 + y? + z? = 36 and z =…

A: Given the triple integral is ∫∫∫E2x2dV Where E is the region inside both x2+y2+z2=36 and z=-3x2+3y2

Q: 00 161 n + e 20 n is The sequence 2n + tan '(103 n) /}. n=1 O divergent as its limit is 0 161 O…

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Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? : 1 902 1302 x2 The…

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Q: Use the method of disks and washers (do not use any other method) to find the volume of the solid…

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Q: The three points X(-6, 8), Y(6, -8) , and Z(-10, 0) are on a circle with radius 10 and centre at the…

A: Given: X, Y, and Z are three points on the circle, with XY as diameter.   To show: ∠XZY=90°

Q: Problem 1. (i) Let A, B be n x n matrices. Assume that [A, B] = 0n and [A, B]+ = 0n. What can be…

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Q: 9. Find the critical points of the autonomous differential equation dy dr sketch a phase portrait,…

A: Given: dydx=y2-y3 To find: Critical points

Q: If n is a positive integer, then (n + 2)! A = |(n + 1)! (n + 2)! (n+ 3)! is equal to (n+ 2)! (n +…

A: We need to find the determinant of the given matrix. To find the determinant we will use the…

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y'= eV1--, y(0) = 0…

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Q: Use the model found above to answer this question. What is the estimated revenue of Amazon in 2049?…

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Q: Use a triple integral to determine the volume V of the region below z = 6 - x, -2Vx2 + y2 inside the…

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: S(1) = -e" sin (21 +7)

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: We can solve this using diagonalisation     Hence a) ellipse b) X2p + Y2p = 36

Q: Given n e N and the function f : R" → R", we can define, for each nonnegative integer k, the kth…

A: (f) Given : f : ℝn → ℝn is linear function,  where n∈ℕ. To show :  We have to check whether the…

Q: Find the derivative of the function at Po in the direction of A f(x,y,z) = 3 e* cos (yz), Po(0,0,0),…

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Q: Prove the following: a a) L{sin(at)} : b) L{t²} = s2+a² 2 s3

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Q: To find a particular solution for y"-36y = 44 sin(21) %3! with the method of variation of…

A: First we will find the complementary function of given differential equation then by writting the…

Q: 1. through the points P(1, -3, 2) and Q(9, 2, 0) [vector equation] 2. with direction vector d (5, 3,…

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Q: A seamstress works exclusively on one stage of the process of a special garment design. This phase…

A: We need to, Draw a transition graph. Determine the transition matrix. of the number of unprocessed…

Q: 20 n 161 n + e In is The sequence 2n + tan (103 n) n=1 O divergent as its limit is 0 () 161 O…

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Q: By using Gauss Elimination Method. Determine the values of Xi, X2, X3 and X4. XI + 3 X2 - 2X3 + X4 =…

A: Given equations x1+3x2-2x3+x4=-12x1-2x2+x3-2x4=1x1+x2-3x3+x4=63x1-x2+2x3-x4=3

Q: e function f(t) = 5300(0.35)3oar represents the change in a quantity over ars. What does the…

A: In this question, the concept of the exponential function is applied. Exponential Function Exponents…

Q: A number is divided into two parts, such that one part is 10 more than the other. If the two parts…

A: The ratio between two parts are 5:3. Consider two parts are 5x, 3x. The difference between two parts…

Q: - 36y = 44 sin(21) rs, we have -6t

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Q: 2. Identify the locus, discuss the properties and sketch the graph of the following equations: 1- 2…

A: We have to solve given problems:

Q: 3 12 Let y = 10 , and W = Span{u1}. 1 V10 a. Let U be the 2×1 matrix whose only column is u,.…

A: Given :  y = 126 , u1= 310-110 and  W=Span{u1} (a).  u = 310-110uT = 310  -110∴uTu = 310  -110…

Q: Question 4 Which of the following does not imply that / is a maximal ideal of the ring R? R=Z and /…

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Q: Write the Maclaurin series for f(x) = 8 cos (7x²) as >, Cnx". n=0 Find the following coefficients.…

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Q: If a, b, c are non-zero real numbers, then bc ca ab ab bc vanishes, when ab bc ca ca 1 1 1 (b) а b c…

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Q: À region is enclosed by the equations below and contains the point (2,8). y = 8 sin y = 8(z- 2), y =…

A: given curves y=8sinπx2 , y=8x-22and y=7x+1 (a) find the volume of the solid obtained by rotating the…

Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

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Q: Advanced Math x' = ( )* %3D - For the system above, Find the general solution and plot the phase…

A: Given: x'=-100-1x To find: (i) The general solution and plot the phase plane diagram. (ii) Determine…

Q: solue for one eigenvector d) Write the eigenvector as a sum of 2 vectors (e red parttcmeginery part)…

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Q: Prove that in any bi-right quadrilateral DABDC, ZC > LD if PROBLEMS and only if BD> AC (Assume LA…

A: Given: a bi-right quadrilateral □ABDC, with ∠A=∠B=90° To prove: ∠C>∠D iff BD > AC

Q: e. Find the coordinates of u = (-3, -3) in the ordered basis B. Note that [u]B = [ u]E. %3D [u]B =…

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Q: 125 n=410, p0.25, and q= 1-p. p-p Evaluate the formula z= when 410 pg (Round to two decimal places…

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Q: Use the model found above to answer this question. Using the revenue data for Yaster Inc. for the…

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Q: I) Find the extreme values of the function : &r+ 2ry-3x+y +1 and show that only one of the two…

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