Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 | at a point where x = 0 %3D The slope-intercept form of the TANGENT LINE is of the form: y = mx + b where m is the slope of the line and b is the y-intercept, both are constants

Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x)

A: taylor series

Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e (0...

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Q: Given: a2 10, az 13 Find: a, =?

A: Solution is written in below steps.

Q: Q2) Show that 35 x* – 30 x2 + 3 satisfies ( 1 - x² )y" – 2xy' + 20y = 0 y

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Q: The integral / 2cos(2')dr takes the form & cosar du when =2 and/(x)=x-5 What is the value of (+2)? 2...

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Q: Prove that the given equation is a solution to the given DE: 1. = C,e3* + C2e2x + C3e* ; y" – 6y" + ...

A: As you have asked for the solution of Question 3-5 only. So I am solving those only. Hope it helps y...

Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: Given series:  ∑k=1∞k(1/5)k Then , ak=k(1/5)k ak+1=k+1(1/5)k+1

Q: Ifu = f(x), then CSCX Compute / 2). 3m dx = sin x- cosx 1. 2.

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Q: IV. Find the particular solution of each of the following. 1. (2х — Зу + 2)dx - (3x + 4у-5); у(-3) %...

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Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

A: Given query is to find the value of indicated function.

Q: y = /x+ /x

A: We will use algebraic techniques to find the derivative.

Q: 3. Is the function given by Sx-4x-5, メ<5 X-5 2. continccus at x =52 Why ar whynot ?

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Q: (-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: | cos* (;x) dx y =

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Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is Eva...

A: topic - functions

Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

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Q: If g(x) = f'(x) and if g(x) = (cos x – x sin x)e* cos x, then S g(x) tan(f (x))dx is

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Q: Find the derivative of the function. f(z) = Vī – 8V7 f (x) 12r – 83x23

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Q: what is the range of h(x,y)=ln(x+y-5)

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Q: a. 2 sec (5x²) tan(5x²) + C b. tan (5x) + c c. 10 tan (5x) + c d. none of the above 27. Evaluate csc...

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Q: Obtain the differential equation of the family of circles having their centers on the x-axis.  (x-h...

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Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

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Q: cot 2x J Tcot22x – 15

A: Given problem:-

Q: Write the first five terms of the sequence: +oo (11 ln n n n=1 Determine whether the sequence conver...

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Q: What is the value of 7/2 x(3 cos(x) + sin(x))dx ? 7/2 Give your answer as an integer or as a decimal...

A: Given I=∫-π2π2x(3cos(x)+sin(x)) dx To evaluate the Integral I :

Q: . 2:(y-x² }tx+dy=0

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given :f(x)=exx0=7

Q: -1 sinx dx %3D

A: ∫01/2arcsin(x) dxIntgerate by parts ∫fg=fg=∫f'gf=arcsin(x), g'=1f'=11-x2,g=x=xarcsin(x)-∫x1-x2dxSubs...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: To find the Taylor polynomials of orders n=0, 1, 2, 3, and 4 about x=x0 and then to find the nth Tay...

Q: The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into co...

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Q: Write the first five terms of the sequence, give the exact answer: +00 In +1Sm-1 Determine whether t...

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Q: 9 Evaluate xp.

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Q: Use the difference an+1 an to show that the sequence {n – 8"} +oo In=1 is strictly increasing or str...

A: The sequence{n-8n}n=1∞

Q: 3. When the linear differential equation is multiplied by become an an integrating factor the equati...

A: We have to fill on the blanks. 

Q: Write the first five terms of the sequence: 11 ln 7n) +00 In n n Determine whether the sequence conv...

A: Given: ∑n=1∞11ln nn

Q: (2x² +)x (x8 + 4x5 + 4x²)2 Using u-substitution and transformation of the integrand, then the power ...

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Q: Is the function given oy 5x-4x-5, メ<5 x-5 2. Fx)=/ メ+1,×25 Cantinucus atX =52 why cir why not Z

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Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t  

Q: Determine whether the series converges, and if so find its sum. 4k+2 7メー1 k=D1 1) This series can be...

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Q: dx The integral S ex+1 reduces to f k au, where u = f(x) and for some constant k . Compute f (1).

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Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1 t

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Q: If the solution to fez* sec²(e2x+1)dx is equal to k tan(e2*+1) + C , find the exact value of k:.

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Q: Question 4 (2x* +)x J (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, th...

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Q: Using u-substitution, the integral S f(x)dx reduces to a new integral S g(u)du. If g(u) = ' evaluate...

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Q: Solutions of differential equations: y' = sin x O y = - cos x +c O y = cos x + c %3D

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Q: If u = f(x), then S k dx = +C for some constant k. Compute kf(1). %3D x*+2x2+1 x2+1 4 -1

A: u=f(x)f(x)=xx2+2I=∫ xx4+2x2+1 dxI=∫ x dx(x2+1)2u=x2+1du = 2x dxx dx =du2

Q: 53. A statue 3 m high is standing on a base of 4 mhigh. IFan observer's eye is 1.5 mabove the ground...

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