dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

Q: 2x3 + 1 x3

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A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: x +1 Evaluate the integral dx. Vx2 + 2x + 3

A: Note: for given integral none of the option is correct match.I have solved as per integration by…

Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

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Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

A: I am attaching image so that you understand each and every step.

Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

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Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: Problem 5. Which gives the Laplace transforms of the given time-domain function? In [(s - sqrt 2)(s…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=9-2x from y=0 to y=8 and x=0

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A: Follow the procedure given below.

Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the…

A: Let,  ϕ=-8cosπx+3x2y+exz+5yz-15∇ϕ=i∂ϕ∂x+j∂ϕ∂y+k∂ϕ∂z…

Q: Q3/ Find the area of zone bounded by curves: y= x² , y= 3x+8

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Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: For Item # 9 - 10: A company manufactures fuel tanks for automobiles. The total weekly cost of…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 3. Determine the differential coefficient of y + 2x - 3 when x = 7 %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

A: I am attaching image so that you understand each and every step.

Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: Given :y=x2,  y=3x+8To find : The area of zone bounded by curves.

Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: (-1)"n²n! 2n n=1 IM³

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Q: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step

Q: dr Evaluate the integral / dx. sin x cos x

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Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

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Q: Consider the differential equation y" – - 1ly" + 28y = 0 %3D

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Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m? – 24m – 16 = 0…

A: Given differential equations y''-24y'-16y=0

Q: The first three terms of a sequence are given by 5x + 8, -2r+ 1, x-4 (a) When x 11, show that the…

A: To find out the terms of the geometric sequence.

Q: Determine the value of c for which 70 13n lim (1+ T 00

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Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

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Q: A graphing calculator is recommended. The normal monthly high temperatures for Erie, Pennsylvania…

A: Ht = 56.72 + 23.62sin0.50t-2.08       ,t∈1,13Lt = 41.89 + 21.52sin0.52t-2.27        ,t∈1,13…

Q: the position function, in meteres, of a particle that moves along a straight line is…

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Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…

Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

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Q: if it was 2K+Y た44eV 4メ=24-3VFlay) = 2f ty ア-2X find の2F うu

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Q: Consider the differential equation y" – 11y" + 28y' = 0 Write the auxiliary equation of the given…

A: Given a higher order differential equation.

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

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Q: Find the interval of convergence for the given power series. (* – 11)" n( – 10)" The series is…

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Q: p(x) = sin x cOS X Select the correct response: o tan x O cos x - sin? a sin? r – cos² x .2 -

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Q: Let f(x) = V31 – x. Compute f'(6) using the limit definitic f'(6) = %3D Find an equation of the…

A: Given: f(x)=31-x

Q: Find y' given xe*y – x sin- y = In(xy).

A: Given,            xexy-xsin-1y=lnxyTo find : y'

Q: Question 3 of 10 u(x) = (tan? x – x²)³ Select the correct response. 3(2 sec a tan x - 2.r)(tan? x-…

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Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: lamda A= ay %D MD 10

A: Given λ=ay/MD

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Q: Jse Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

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