Find an equation of the tangent(s) to the curve with parametric equations x = 1+ vt, y = e at the point (2, e)

Q: 5. Solve 5-X Express your solution in erval no solution on a real number line.

A: We we will solve the inequality. 

Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative 

Q: Determine any three points on the plane given by 5x - 6y + 10z - 15  = 0. Using these points, give a...

A: The given plane is: 5x - 6y + 10z - 15  = 0. We have to find any three points on the plane. Using th...

Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: find the integration of 1/(sinx*√(sin(2x))) .dx

A: Let's find. 

Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: Linear coefficients in 2 variables: Solve the equation: x – y + 1) dx – (x + 4y + 1) dy = 0 O In[(x ...

A: Solution of the problem as follows

Q: 9i+ 3 j u + v =

A: ||u||=8, θu=00||v||=2, θu=600

Q: Solve the seperable differential equation 2yy' = x. Use the following initial condition: y(2) = 2. E...

A: We can solve the differential equation as below

Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5. D...

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly repo...

Q: Linear coefficients in 2 variables: Solve the equation: (x-y+1)dx-(x+4y+1)dy

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Q: (x2 - 4x + 4)4/3 dx -

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Q: 3. S cos ædæ from a = 0 to b = 5

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Q: The Furmetion fla)=t kininen as Taylor series abaut x =0 4s derwamine ite series elow end nerite our...

A: a) fx=8e2xb) gx=9x5e-1 x

Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

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Q: 4. An object moves along a horizontal line in a way that its position is described by the function s...

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Q: II. Obtain the required order or level of derivative. 1. y = 3x5 + 4x³ – 4x + 1, find y" 2. f(x) =-+...

A: Solve differentiate

Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 O 2r? ...

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Q: cos x dx Sx x sinx cosx dx 4. 3.

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Q: the

A: We will find the vertical asymptotes if it exists. 

Q: бх + 7 (x+2)°

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Q: (y² – xy) dx – x²dy = 0 Ix-

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Q: Find the Taylor polynomial T(x) for the function f centered at the number a. f(x) = x + e-x, a = 0 T...

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Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+2k w = i+ 9j + 2k Find the v...

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Q: Lincarize : -3x 3x² arourd = !

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

Q: Find a function whose graph is a parabola with vertex (5, -2) and that passes through the point (4, ...

A: To find a function whose graph is a parabola with vertex 5, -2 and that passes through the point 4, ...

Q: cos (6x) cos (3x)dx

A: Solution :∫cos6xcos3xdxNote :2cosacosb=cosa+b+cosa-b12∫2cos6xcos3xdx12∫cos6x+3x+cos6x-3xdx12∫cos9x+c...

Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: Determine the domain of the following functions. 3. (x) = x+3 4. f(x) = 5-

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Q: equations passing through the point (1, 0, 9) tha parallel to the plane given o t.(Enter your answer...

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Q: Find the coordinates of a point P on the line and a vector v parallel to the x - 7 y + 9 = z + 4 Р(x...

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Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D bet...

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Q: h(x, y, z) = xyz, P(3, 2, 6), v =

A: We will find the directional derivative. 

Q: III. Derive the following HCA 1. The unity rule: = 18 dx du dx 2. The quotient rule: xp dx

A: f(x)=xDerivative formula:f'(x)=limh→0 f(x+h)-f(x)hf'(x)=limh→0 (x+h)-(x)hf'(x)=limh→0 hhf'(x)=1ddxf(...

Q: 1. e (3xy-x)dx+e* dy = 0; when x = 0, y = -1 4 Ans. y =-- 1 3

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Q: Write the equation in spherical coordinates. (a) 5z2 3x2 + 3у2

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

Q: Consider the following. u = 3i + 2j, v = 6i + 9j (a) Find the projection of u onto v. (b) Find the v...

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Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (6x-y)^12 ax^4y^8

A: The given binomial 6x-y12

Q: Q3: Solve the following first order differential equations Use any method: 3. y cos(x)dx + 3sin(x)dy...

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

Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

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

Q: Let f (x, y) = 3x – 2²y. x = -t, y = s + 2t dz dz Use an appropriate chain rule (involving , , etc.)...

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Q: Sea(4 + e3*)-1 dx

A: Solving the problem by finding the solution of the integral.

Q: Voter Registration The amount of voters in a city's district should grow at the rate of R(t) = 150...

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Q: Q1: Find the solution of the following Differential Equations 2. dx + 3y = e* + 2 3. dx2 x = 0 dx

A: We will find the Differential equation solution 

Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A: We have to solve above question 

Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: Q3: Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy = 0...

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave...

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