What is the missing number?* 15 17 1 8 12 27 40 90 28 21 12 23 13 ?

Q: Determine the general equation of the plane 2 passing through the point P(1, -4,-5) and parallel to…

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Q: 6. Let g be defined by x² sin ², x * 0, 9(x) = {x² sin ², 0, x = 0. (a) Prove that g is…

A: (a) The function f is differentiable at x if f'x=limh→0f(x+h)−f(x)h exists.…

Q: 8. Solve the recurrence relation an = given do = 40, a₁ = = 37. 2an-1-an-2, n ≥ 2,

A: Given recurrence relation is an = 2an-1 - an-2 , n ≥ 2 given a0 = 40, a1 = 37

Q: Page 3 3. For |2 <1, 1+z+z²+... 2 Using this expansion, by matching terms show that if f(2)==0a, 2³,…

A: We have to find maclaurin series for g(x).

Q: x² whether the limit exists or not. / (x,y)→(0,0) x²+y² 3. Find lim

A: Given limit is lim(x,y)→(0,0)x2x2+y2

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Q: -Solve the following differential equations: 1)+²=x² (Integrating factor).

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find the present value of a $3, 000 annual income stream if it is invested immediately as it is…

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Q: Which of the following is the orthogonal trajectories of the family of curves y = ax³ ? x³ + 3xy² =…

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Q: Evaluate curl of A and divergence of curl of A, if A = x²yax + y²zay - 2xzaz

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Q: Use regression to find a quartic model for the given data set. Round the regression parameters to…

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Q: x=½, y = 12 -1 Create Maclaurin Series for tan x and tan'y and Combine into a Single Series Who's…

A: The Maclaurin series of tan-1x is tan-1x=x-x33+x55-⋯

Q: Use three-point midpoint formula to evaluate the first derivative of y = cot(x) at x = using a value…

A: We have to evaluate the first derivative of y=cotx at x=π2 using a value of h=π4 by using…

Q: In spherical geometry, draw a triangle with three right angles. What is the area of the triangle?

A: A globe is the best visualization tool. It will make a triangle in certain senses, because of having…

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A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Q.1 The latent heat of vaporisation of steam r is given in the following table of different…

A: We have: T r 40 1069.1 50 1063.6 60 1058.2 70 1052.7 80 1049.3 90 1041.8 100 1036.3…

Q: MAFS.912. S-ID.1.1 Yesenia records the ages of 9 friends. A box plot of her data set is shown.…

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Q: Consider the nonhomogeneous linear system of differential equations: (*) [16³]. (a) Find…

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Q: Consider the graphs of f(x) = √√√x + cos x and g(x) = √√x + sin x over 13п the interval 0, . Answer…

A: Equate the expression of fx, gx and simplify to obtain the value of x.…

Q: Find the equation of the line that passes through the point (-1, 3) and is parallel to the line 5x -…

A: Find the equation of the line that passes through the point (-1, 3) and is parallel to the line

Q: If A is an n×n matrix having linearly independent eigenvectors v1,v2, . . . ,vn, then the n×n matrix…

A: Matrix and whose columns which are linearly independent

Q: Solve f(x) Sin e* (4 nodes) Using Gaussian Integration (Numerical Methods) [ f(x) dx

A: Given function is f(x)=sinex We have to calculate ∫-11sin(ex)dx Formula for 4-point gauss quadrature…

Q: Find an orthogonal and an orthonormal basis for 5 1 2 W = Span Spa { ·} 0 2 -2 -4 0

A: GRAM-SCHMIDT METHOD The Gram-Schmidt process (or procedure) is a sequence of operations that allow…

Q: Evaluate the following integrals. 4x+10 1. S dx (x-2)(x-1)²

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Q: 20 x=0 3. Define f: R→ R by f(x) = and g: R → R by g(x) = -{ 1² r <0 0 r20 (a) Compute (fg)(-1) (b)…

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Q: Consider the so called Riccati ODE and let y₁ be a solution. y' = p(t)y² + q(t)y + g(t). Show that:…

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Q: D 1059 A E 62⁰ B Find 1. MLADB = 2.mBC = 3.mZBDC = 4 mức =

A: 1. m∠ADB=0.5m∠AEB Angle at circumferance is half the angle at the center by the same chord. Hence,…

Q: From Rogawski 2e section 5.5, exercise 2. A population of insects increases at a rate of 290 +6t +…

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Q: Evaluate S(-x+y+z) dx + (x+y-3) dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

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Q: A company plans to manufacture closed rectangular boxes that have volume 24 cubic feet. The cost per…

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Q: 1. Find the root of f(x)=x²+2x²-5x-6, using the initial guesses of x₁ = -4.5 x=-1.0 and a…

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

Q: -1 -1 3 0 1 2 0 -1 0 4 1 -5 0 0 -1 1 -2 -7 For the matrix A = 0 0 0 3 -1 2 0 0 0 0 7 0 0 0 0 0 0 7…

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Q: Which of the following images goes in the missing part of the sequence? * ? O Option 1 Option 3 O OO…

A: Correct ans is option C   From the images shown, we can observe that there are 6 rows and 6 columns.…

Q: 10 Mr. Kelly pays $10,140 a year for rent. His rent is a constant amount each month. Which equation…

A: Solution :  Given that  Mr.Kelly  pays $ 10,140 a year for rent

Q: Question Use the binomial series expansion, 1 for the function f(x) √1+5x² If necessary, round your…

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Q: Consider the Kenken Puzzle. What should be the value of x and y? * 2+ 6X 9+ 1 2- y ४ 2+ 1- x = 1; y…

A: We need to solve the Kenken puzzle. We need to have numbers from 1 to 4. Numbers cannot repeat in…

Q: Let A = {2,7,8,10} and B = {1,5,8,12} and let & be the "greater than or equal to" relation. That is,…

A: The given sets are A=2,7,8,10 and B=1,5,8,12 To find: The ordered pairs which satisfies σ and σ-1

Q: Consider the following matrices: 1 A = B = C [32] -6 3 6 Compute the following expressions or…

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Q: 9. Use mathematical lowing inequalities. induction to establish each of the fol- (a) [BB] 2">n², for…

A: As per policy, we are solving only the first Question, Please post multiple Questions separately.…

Q: do 4. Solve the recurrence relation an+1 = 7an-10an-1, n ≥ 2, given a₁ = 10, a2 = 29. -8an-1-an-2,…

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Q: dx, y) Find the Jacobian du, v) x=9u cos 6v, y=9u sin 6v, z = 3w 1458v 972v 972u 1458u or dx, y, z)…

A: Given x = 9u cos 6v,   y = 9u sin 6v,   z = 3w

Q: /xy2. +xzu+yv2-3 = 0 The system of equations: |6x3y2 + 2xv - 3u²v2 - 5 = 0 - can be solved for y and…

A: Given system of equations xy2+xzu+yv2-3=06x3yz+2xv-3u2v2-5=0          .......(1) where x,u and v are…

Q: Find the differential dy of the function y = 4 sin (2x). Provide your answer below: dy=dx

A: Solution

Q: Let f (x, y, z) be a function such that : (i) the function f (x, y, z) decreases most rapidly at the…

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Q: II. Draw the next two figures in each pattern below. 1. 2.

A: To find- Draw the next two figures in each pattern below.

Q: The half-life of a substance is found by using the equation A(t) = A0e−kt   where A(t) is the…

A: GIven: Half life of a substance is given by equation: A(t) = A0e−kt   where A(t) is the amount…

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

A: We need to identify whether series converges , absolutely convergent or divergent. 1)  ∑n=1∞ -5nnn6n…

Q: f(x,y) = (In(y + x²)) x² + y² D = {(x,y) ERIy2x²-1 and y ≤4-e-*) (b) Observe the set Is D…

A: (b) The given set is D=x,y∈ℝ : y≥x2-1 and y≤4-e-x To find: The given set is bounded or closed or…

Q: Let p and g be continuous functions in an open interval I and ão E I. Show that if Yı and Y2 are any…

A: If y1, y2 are any two solutions of dydx+p(x)y=g(x),    y(x0)=y0. where p and g are two continuous…

Q: 2 Gwen SS8 dydx. Reverse the order √x y+8 of integration and evaluate. Draw the region. √TT (x (x²…

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