For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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A: We will sketch the graph of a rational function which satisfies the conditions:∙At least two local…

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Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

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A: Let's find.

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A: Given problem:- A firm's profit is determined by subtracting its revenues from the cost of…

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Q: Evaluate the definite integral 4x2 + 8 dz 3. C

A: Given query is to find the value of the integral.

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that…

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Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t 4:z=2s+1,y=1-3s,2=1 y+1 z-1 %3D %3D 3a 2a 3 Find…

A: Given:  L1: x=1, y-1=-t, z=1-3tL2: x=2s+1, y=1-3s, z=1 Direction vector of line L1 is 0, -1, -3…

Q: Convert the equation r = 4 csc (0) from polar coordinates to rectangular coordinates. (Express…

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Q: Approximate the value of the given integral using the trapezoidal rule 12 y dx where the function y…

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Q: The relationship between the number of decibels B and the intensity of a sound I in watts per…

A: Let's find.

Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: Consider e": for all æ E R. n! a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: Find the derivative of the following equations that contains both x and y through implicit…

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Q: Solve the equation. Write the solution set with the exact solutions. log10 (7-m) + log10(-m-2) =1 If…

A: logb(m)+logb(n) = logb(mn) logby =x is equivalent to bx =y.

Q: sin4x dx V cos4x + 1 COS4X

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Q: hiker is instructed to carry two cups of water every 10 minutes spent walking the hiker plans to…

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Q: a 19.) sin u f&) dx where f) = Co x4 /2 Sxい円

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Q: d,e,f

A: We will solve the limits.

Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

A: The given function is f(x,y,z)=x+2y+3z.

Q: Find the vector equation for the line of intersection of the planes 2x – 2y – 5z = 5 and 2a + 2z = 1

A: Given  equation of planes 2x-2y-5z=5 2x+2z=1

Q: Find the equation of the curve that passes through the point (5,4) if its slope is given by…

A: dydx=5x-2dy=5x-2dxIntegrate on both sides

Q: In 2000 the population of the United States was 280 million and the number of vehicles was 200…

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Q: Solve the system. 4x + 4y - z = 38 x+ 6y + 2z = 19 4x + y +z = 39 O A. {(9,2,1)} O B. {(-9,1,18)} O…

A: 4x+4y-z=38→(1)x+6y+2z=19Multiply above equation with 44×(x+6y+2z)=19×44x+24y+8z=76→(2)and now given…

Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,2=1 -y+1 %3D z-1 3a 2a 3 Find the…

A: Explanation of the answer is as follows

Q: Find the point where the function f(x,y,z) = x + 2y + 3z subject to the constraint xyz= 2 takes on…

A: Answer is in below steps.

Q: Salve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y=…

A: Let's find.

Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

A: Find your answer below

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Given equations which bound the region are: x = 8y ; y = 4 ; y = 5 and x =0 The volume of revolution…

Q: Given: xe + In(x - y) = . Find dy/dx. %3D O dy 2ry(x-y)e+x+a*(z-y)(2a+1) da r +z? (x+y)e? 2a…

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Q: Convert xy = 7 to an equation in polar coordinates in terms of r and 0. %3D (Express numbers in…

A: Given query is to find the the polar form.

Q: 56. ● Cost Equations The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by…

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Q: (a) Use integration to evaluate, cor- rect to 3 decimal places, dr (b) Use the trapezoidal rule with…

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Q: Suppose the frame has a top tube length of 52.2 centimeters, a seat tube length of 49.0 centimeters,…

A: Given Top tube = 52.2 cm Seat tube = 49 cm Seat Angle = 75.0°   We can use the cosine rule here.…

Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: Evaluate the definite integral. sin(4t)dt 0.

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Q: one-to-one function is given. Write an equation for the inverse function. x-3 t(x) = x+7 () = D %3D

A: Given query is to find the inverse function.

Q: Evaluate the indefinite integral as an infinite series. 1 13. COS X dx x2

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Q: 12. Find all possible values of x such that In(x) + ln(x + 1) = In(2). If no such values of x exist,…

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Q: What is the area of triangle ABC if a = 5 ft, b = 6 ft, and c = 7 ft?

A: Follow the procedure given below.

Q: 39+ 5 dy (5y~7)2

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Q: please answer the following asap Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1…

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Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

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