r the function. (Center your power series r - (Enter vour a nswer using interval notatio

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A: We know that equation of line passing through the point (x1 ,y1) and having slope m is,…

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A:

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

A: Solution in step 2

Q: Identify the conic section 9a2 – 16y? – 36æ – 96y = 252 | - Parabola Hyperbola Ellipse What are the…

A: The genreral equation of conic section Ax2+By2+Cx+Dy+F=0if A=B≠0  then it is circleif A≠B and…

Q: If a > b, it is possible to have log,(a) < log.(b). (As usual with logarithms, a and b are positive…

A: To determine whether the given statement is true or false.

Q: QUESTION Determine the length of the missing side of the right triangle below. Round your answer to…

A: The given triangle is:

Q: solve D.E (2+3) doe – 2aydy = 0

A:

Q: 1. Let f(r, y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a)

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Q: Use Implicit Differentiation to find dy/dx where 2xy + x = 1 1-2y a. y' = 2x -3-2y b. y': 2x -1-2y O…

A:

Q: Question 5 of 10 r(x) = cot2(3x2 + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

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Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

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Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

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Q: d d Calculate ri(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: We have to find derivative

Q: Find the length of the minor axis of the equation 4x 2 + 3y 2 - 32x + 12y + 64 = 0. 2√3 4 2√(11)

A: Ellipse

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: Evaluate the upper and lower sums for f(x) = 2 + sin(x), OsxSA, with n = 2, 4, and 8. Illustrate…

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

A:

Q: Question 4 of 10 m(x) = sec²(e2r+1) %3D Select the correct response. 20+1 sec(e2r+1) tan(e2r+1)…

A:

Q: Determine the equation of the tangent for f(x)=sinxcosx at x=π/3. Answers in exact value.

A: Equation of tangent is y-y1 =m(x-x1 )

Q: t dt. Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) =|…

A: f(x)=∫3xt7dtf'(x)=ddx∫3xt7dtBy fundamental theorem of integral calculusf'(x)=x7

Q: Activities in Inverse Trigonometric Functions dy Find the dx 1. у %3D sin-12х — V1— 4х2 2. у %3D…

A:

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: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(2) = L, (cos…

A: Use part I of the Fundamental Theorem of Calculus to find the derivative of

Q: Work Problem 2( Question 1 ( Use the First Derivative Test to find the local maximum and minimum…

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Q: What is the derivative of the function f(x) = In(3x²) ? O a. f'(x)= 2 а. O b. None of these. 1…

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Q: Write the center of the circle x 2 + y 2 - 6x + 10y - 2 = 0 (-3, 5) (3, -5) (6, -10)

A: Centre of circle

Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

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Q: Write the radius of the circle x 2 + y 2 + 5x - 4y = 0. √(29) √(41) √(41)/2

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Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

A:

Q: Hawad Findthe areas fak the fallowing regions 2 Area af the region insidethecircle (r=1) and outside…

A: Given

Q: Consider the hyperbola Qu 144y + 864y - 25x – 50z = 2329 Qu Qu What are the vertices of this…

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Q: Use Ay f '(x)Ax to find a decimal approximation of the radical e V10 What is the value found using…

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Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

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Q: Howat Find the akeas fax the fallewing regions Area enclosed by the diagram to V= Sin 3o

A:

Q: 3. Let f(r, y) =r sin ry. (a) fa(1,9) (b) fy(r, y)

A: Given: f(x,y)=xsinxy

Q: Provide a step-by-step solution to the following differential equation (linear equation) (y-x +…

A: Solution:

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

A: This question can be solved using the concept of point of inflection.

Q: Let X be a random variable with mean u and variance o2, and suppose that its moment- generating…

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Q: answer 29 and 30

A:

Q: Identify the conic section -3x? – 12x - 5y = 37 Parabola Ellipse O Hyperbola What are the…

A: Given:         Conic section -3x2-12x-5y=37 This is in the form of standard equation 4py-k=x-h2…

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Q: If a building contractor hires 8 day laborers and 2 concrete finishers, his payroll for the day is…

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Q: 3. Let f(r, y) = I sin ry. Find: %3D (a) fa(1,9) (b) fy(r, y) (c) fyy(I, y) (d) fyz(I, y)

A: Given,            fx,y=xsinxy

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: 3. The height, in metres, of an object thrown from a rooftop is given by the equation h(t) = -x? +…

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Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

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Q: Evaluate the following double integral 3 a) Evaluate S T 8xy dxdy=? 0, b) Evaluate the following…

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Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

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Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: We have to find x-intercep for the given Questions

Q: R={ (x,y): 0<x, 0 y, x²+y? <49} be enclosed region. The result of the following double integral (by…

A: