Given the equation 2x + 3y = 6, a second equation that forms a system with no solution is: O 2x – 3y = 6 O 4x + 6y = 6 О 4х + 6у — 12 O x – y = 3

Q: it is always that when the series equal to zero it converges and when it is nonzero it diverges ?

A: For a series to be convergent we must have limn→∞an=0. But the converse is not true.  For example:…

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: Find the radius of convergence, R, of the series. 00 (x - 9)" "ח n= 1 R = Find the interval, I, of…

A: Use power series concept

Q: Demand Function: d(x)= 500-0.6x Supply Function: s(x)= 0.2x Find the Equilibrium quantity= Find…

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Q: Find y' if y= 2x + Vx*-9xr+3.

A: We can find y' in the following steps.

Q: 7. Find ſxsec¯'xdx using integration by parts made simple or otherwise.

A: Given ∫x sec-1x dx To find integration

Q: Given the Demand Function D(p)= 275-4p^2 Find the Elasticity of Demand at a price of $5

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Q: Consider the following equations. f(y) = y(7 – y) g(y) = -y Sketch and shade the region bounded by…

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Q: 19. Using the l'Hospital's rule to find the limits e3r – 1 In(ln æ) 1 e" – 1- x – ² (a) lim a→0 In(x…

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Q: V 2 y = 3 Vx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: 25 18 f(x)dx f(2)dæ = / f(x)dx - 10 where a = and b =

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Q: 7. Find the constant a, such that the function is continuous on the entire real line. [x+3, f(x) = x…

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Initial value problem: An initial value problem (IVP) in multivariable calculus is an ordinary…

Q: 1. Show that cosh 4x = 8cosh“x - 8cosh? x + 1 .

A: Given problem:- Show that cosh(4x) = 8cosh4x - 8cosh2x + 1

Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

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Q: QUESTION 3 Find a formula for the nth term of the sequence. 1, 4 9' 16 25 (reciprocals of squares…

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Q: IV. On Circular Permutation In how many ways can eight people be seated at a round table? . In how…

A: Note that, in a Circular fashion we can arrange n elements in (n-1)! ways.

Q: 10 16 what is 7 | f(s)ds? Given that f(x)dx = - 10 answer =

A: Follow next step

Q: Find the Taylor series generated by f at x = a. f(x) = x2 - 4x + 3, a = -3 (x - 3)2 - 10(x - 3) + 24…

A: Given

Q: 143+2x+1 dx

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Q: Find i-l O 36 O 16 38

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2, y =…

A: The given curves are; y=e-2x, y=0, x=0 and x=1 So, the bounded region is as shown below. Apply the…

Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: We are allowed to solve one question at a time. Kindly repost other problem in next question. Thank…

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Find the maximum and minimum values of the radius of curvature for r(t) = ⟨cost,sin t,sin t⟩, if 0 ≤…

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Q: dx sin x

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Q: sin' xcosx dx

A: Indefinite Integration

Q: S 2x(ex²+1 – 2x*) dx

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Q: Approximate the area under the curve graphe

A: answer is in next step

Q: Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and…

A: Given; y=1+5x-x^2/2+x^3/6 y(.2)=?

Q: Answers

A: We will find the derivative using Chain rule.

Q: Solve the differential equations: (a) = 4x+2x+5 where V(1) = 10 .

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Write 32/3 as an integral

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Q: sec 3xtan3x dx

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Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: Find the area bounded by the curve y= 4-x2 and thex-axis. Graph

A: We can find the area bounded as below.

Q: Use a graph to determine whether the given function is continuous on its domain. H Sx + 2 if x < 0…

A: Given query is to find function is continuous not.

Q: Find y if y= 3(x³ – 7x+2)5 +4x -2.

A: Topic = Derivative

Q: If f(x, y) = x cos y + ye", find the second-order derivatives %3D af a²f ах ду" and ar" dy ax'

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: Draw the diagram and use the washer method of finding volume of rotation.

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

Q: BASIC CALCULUS 1. The line segment from (1,–1,3) to (0, –3,1) forms a diameter of the sphere S1.…

A: Given , end point of diameter of sphere A(1,-1,3) and B(0,-3,1). First we need to find centre of the…

Q: 10. The total cost, in dollars, of producing x units of a certain product is given by C (x) = 8x +…

A: The total cost, in dollars, of producing x units of a certain product is given byCx=8x+20+x3100and…

Q: Find (3+2) - 2i . 406 754 386

A:

Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: | cos ) sin(x) dx

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Q: Question 1: Using appropriate substitution tan'x xp: sec5x

A: LetI=∫tan3xsec5xdxI=∫sin3xcos3(x)1cos5xdxI=∫sin3xcos3(x)×cos5xdxI=∫sin3xcos2xdxI=∫sin2xsinxcos2xdxI=…

Q: a 0 0 0 0b0 0 11. Using cofactor method, prove that det M = abcd %3D 00c0 0 0 0 d

A: