Problem #4: Find the slope of the line tangent to (х-3) + (y-2)² = 1 at (3,7). the conic section 36 25 Solution:

Q: (D³ - 7D + 6)y = 0 %3D

A: Differential equation

Q: Find the minimum and maximum values of the function y = 8Vx? +1 – 5x on the interval [0, 3] by…

A: To find the minimum and maximum values of the function y=8x2+1-5x on the interval 0, 3 by comparing…

Q: SíS(x² + y²) dx dy 0.

A: To evaluate the given iterated integral.

Q: E2"x" 4η n 7. it. n=0

A: The objective is to find interval of convergence and radius of convergence.

Q: answer

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Q: Find the horizontal and vertical asymptotes of the graph of each function. Do not sketch the graph.…

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: 3s – 14 - s2 – 4s + 8 - 3e2t cos 2t + 4e" sin2t 3et cos 2t – 4eª sin2t Option 1 Option 2 4e" cos 2t…

A: Given: Fs=3s-14s2-4s+8   As we know that; The inverse Laplace transform identity. 1).…

Q: e problems y' + e = 0, y(0) = 1 %3D

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Q: 3 10х° -34х + 4 2x-4

A: We have to find the long  division

Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x %3|

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Q: y" + 4y= cos'x

A: Given: y"+4y=cos2x

Q: 2. The integral S,n(4 - y²)?dy represents the volume of a solid. Sketch the region, rectangular…

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Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: YA x= y² – 4y (-3, 3)- x= 2y – y²

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Q: Find the solution of the given differential equation

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Q: 2x e dx 4е2х —8е" +5 -

A: The integration of the integral is  e2x/(4e2x-8ex+5).

Q: f 3p2tanip dp

A:

Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

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Q: x dx V3-2x-x

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Q: - dx +3x+3 メstx a. 14 マ tan ()"० 3. 6. 9 tam- C.12 tan-l C d. 9 tan tc e- more.

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). x = 3t? –…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 12г3 — 9г? + 2 dr

A: LetI=∫1612x3-9x2+2dxApply the Sum RuleI=∫1612x3dx-∫169x2dx+∫162dxTake constant…

Q: A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec. at an angle of 86° to…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: -Sune +1

A: This question is based on solution of Trigonometric equation.

Q: I. Evaluate each of the following iterated integrals. clnx 2.

A: The objective is to evaluate the interated integral.

Q: Evaluate S.(x + y)dxdy by reversing the order of integration.

A: answer is in next step

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: 3e" da V4-e2a

A: We have to find out the integral

Q: oint) Use the graph of f(x) shown below to find the following integrals.

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Q: Use Shell Method only Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: Find Valke of nhegal Sxdx X dx

A: To evaluate the given integral

Q: A. For each of the following functions z, find and дх 2. z = tan 出一郎

A: Explanation of the answer is as follows

Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

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Q: Solve the equation on the interval 0s0< 2n. 8 cos 20 = 4 What are the solutions in the interval 0s0<…

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Q: S 3p? tan p dp

A: To integrate.

Q: 3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the…

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Q: (1) Evaluate the double integral and sketch the graph. 1/4 4 r2 sin 0 cos 0 dr d0

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Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 2 Period:…

A: Sine function :  y= a sin(bx-c) ; where, 'a' is the amplitude and 'c' is the phase shift .…

Q: Integrate 1 x + 1 dx x + 1 2

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Q: n!(n+1): (2n+1)! n=0

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Q: I. True or False: Write True if the statement is always correct, otherwise write False. 1. All…

A: Topic:- function  Note:- as per our guideline if more than three subparts posted than only first…

Q: Show

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Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

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Q: 1. Using double integrals find moment of inertia about the x-axis of the area enclosed by the lines…

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Q: f36-y (x +y?) dx dy 6 36 - y- 0 0

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Q: 4s + 12 s2 + 8s + 10 4e -4t – 4te -4t 4e4 + 4te4t Option 3 Option 2 -4t 4e + 4te¬4t

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Q: B. Solve as indicated. 1. Find the geometric mean of 28 and 112. 2. Find the geometric mean of 7 and…

A: To find the geometric means for the given data. The formula for the geometric mean of x1,x2,...,xn…

Q: Find the set of all values of x at which the line 3x-y+ k = 0 is a tangent line to the curve f(x)…

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