Write an equation for a rational function with: Vertical asymptotes at x = 1 and x 3 x-intercepts at x = 4 and x = -3 Horizontal asymptote at y = 2 y = Question Help: Message instructor Submit Question

Q: Evaluate the following limits 5 a) limx-0- 5 5 b) limx-o+ 5 c) limx-0 x3

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Q: C. Find i '(t). 1. ř (t) =

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative...

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x ...

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4    

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: Write a chain rule formula for the following derivative. aw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: Let z = F(x , y), where x = u ev - 4 and y = ut e -V + 3. Use the chain rule %3D az to find du at (u...

A: Concept- using the chain rule of differentiation

Q: help in 30mins pls

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Q: Using the method of Lagrange multiplier, determine the minimum and maximum values of f(x,y,z)=2x+3y ...

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Q: 2e" dx (e – 1)2 1

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Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative...

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Q: 2. If cos 4A = 23/49, find tan A %3D

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Q: The Maclaurin series of the function f(z) = 5z²e-# can be written as f(z) = E Cnz" where the first f...

A: Topic:- calculus

Q: In each part, find a formula for the general term of the sequence, starting with n = 1. Enter the fo...

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at ...

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Q: For f(z) = 20, find using the definition, f(z+ Az) - f(z) = lim Az0 Ay dy = lim Az0 Ar da Az (a) Fir...

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Q: whether the geom 08. (-7)" – 1 Σ 8" n = 1

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Q: Find the derivative of x3tan2x 2x sec2x+3x?tan 2x 6x²sec²2x 3x?tan2x+6xsec²2x 2 xtan2x - 3x²sec²2x

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Q: dw at (u, v) = (5, 4) for the function w(x, y, z) = xz + yz - z 2; x = uv, y = uv, z = u. HINT: Use ...

A: w(x,y,z) = xz + yz - z2∂w∂x=z,x=uv∂x∂u=v∂w∂y=zy=uv∂y∂u=v∂w∂z=x+y-2zz=u∂z∂u=1

Q: Use sigma notation to write the Taylor series about x xo for the function. e; xo = 7 - 7)* k! e7 k! ...

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Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

A: w=fx,y,z ; x=gr,s,t, y=hr,s,t, z=kr,s,t

Q: 5. A certain vessel is full of pure alcohol. Five liters are drawn and replaced by water. After mixi...

A: Topic:- algebra

Q: Find the angle between u and v in radians. u = 4j - 2 k, v = 8 i - 3 j- 10 k O 0.14 1.43 1.57 1.53

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Q: 1. Suppose that f is an infinitely differentiable function (that is, all its derivatives exist and a...

A: According to our guidelines we can answer only three subparts per posting. Hence we will answer subp...

Q: Write the first five terms of the sequence with the given nth term. 6. 3 + - = 10 + - n2 %3D a2 %3D ...

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Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: Given f (x) = sin x and g (x) = cos x, show that f (g (5)) = 0. Show all your %3| steps.

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Q: d²y dx dy =-9y+ 7e³* + A 3x 6. dx

A: Topic:- differential equations

Q: ind the general solution to the differential equation. dx dt = 3t2(x2 + 25) x =

A: topic- differential equations

Q: Suppose g is a function which has continuous derivatives, and that g(2) = 5, g'(2) = –5, g"(2) = –1,...

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Q: Solve and check the equation. 6x – 5(x+ 6) = 2x - 3 Select the correct choice below and, if necessar...

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Q: A botanist can purchase plant food of four different types, I, II, III, and IV. Each food comes in t...

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Q: The region bounded by f(x) = - 4x2 + 20x + 96, x = 0, and y = 0 is rotated about the y-axis. Find %3...

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Q: (– 1)"497+2 n! Find the sum of the series: n=0

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Q: Find the derivative of sin In x O sin(Inx)/x cos(Inx)/x O cos(1/x) O sin (1/x)

A: topic - derivative of a function

Q: A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (1I) 3 dis...

A: Topic:- polynomial

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 8n + n n...

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Q: 7. Drawn below is an odd, periodic function with period 3. f(x) dx = 5 y = f(x) (i) Calculate the to...

A: Find your answer below 

Q: Prove: If the characteristic equation of ay" + by' + cy = 0

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Q: Find the sum of the convergent series. 9+0.9 + 0.09 +0.009 +.. .

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Q: Find the interval of convergence for the given series. 2(n + 3)!(x + 13)* Select the correct respons...

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Q: What integration technique can be used to integrate: sec2 xdx Integration Formulas O Trigonometric S...

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Q: If Luk and > UR are convergent scries, then (ux + vk) and Σω 2(uk – Vk) are convergent series and th...

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Q: the series using any appropriate test from this chapter. Identify t t with the p-series

A: We have to choose the correct  options according to the given information

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: 8х — 3 dx x4 + 16x²

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Q: Find the coordinates of the point in the curve y = 12x - 2y + 23 that is nearest to the point P(10,4...

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Q: Find an LU decomposition for the coefficient matrix and hence solve the system of equations xị -2x2 ...

A: We can write the given equation as:  1-231-121-13-613x1x2x3=7-313 The coefficient matrix is: A=1-231...

Q: For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

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