Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes y = 3x4 + 4x³

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A: Follow the procedure given below.

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A: Please refer too the image below

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A: Explained below

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A: We have to solve given Questions.

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Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x* cos y)dy = 0 2−(2x² +…

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Q: Solve the following differential equations of (3x² - 6xy) dx +(-3x²-2y)dy=0

A: Given differential equation is  (3x2-6xy)dx+(-3x2-2y)dy=0    ...... 1 Check for exactness. Here…

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Q: the intervals on which the function is increasing, the intervals on which it is decreasing, and the…

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Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

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Q: Find an approximation of the area y = 16 - x² over the interval [0,4] using L6 (left end point…

A: Use: Area=∆xf(x1)+f(x2)+f(x3)+f(x4)+f(x5)+f(x6)       where ∆x=b-anwhere n= no. of rectangle…

Q: 5) a) Find the eccentricity, b) identify the conic, c) give an equation of the directrix & d) Sketch…

A: Concept: We know that a conic section is defined as the locus of a point that moves in such a way…

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: Suppose that f(x, y) = 2x + 3y and the region D is given by {(x, y) | −1≤ x ≤ 5, − 1 ≤ y ≤ 5}. D…

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Q: 1. Given the series 1 1 - - - 5 +(-=-={{ (x-2)" +... 25 125 5 (a) For what values of x, does the…

A: see below the answer

Q: Evaluate. 7u [(e70 +4u) du (eu +4u) du = (Type (Type an exact answer.)

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Q: Use the Table of Integrals to evaluate the integral. dx S ex(5 + 10e* Select the correct answer. -X…

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Q: A car purchased for $40,000 depreciates exponentially. After one year, the car is valued at $25,000.…

A: We have to find depreciating after 3 years.

Q: Find the absolute minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the…

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Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

A: Concept: The general solution of the matrix is given by x(t)=c1x1(t)+c2x2(t) Wherex1 and x2 are two…

Q: Question 2 Mrs. Parkes Company is thinking of changing the sizes of the bottles. At first the…

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Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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Q: While buying a new car, Derek made a down payment of $1,000.00 and agreed to make month-end payments…

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Q: 9. Find the volume that will be generated by revolving the area bounded by the curve y = cosh x in…

A: We need to volume.

Q: Find the solution of the differential equation that satisfies the given initial condition. dL=kL2…

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Q: y = tan-¹(¹+x) -1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q2-Solve the differential equation dy = y - xcos² (2 dx x

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Q: Find the volume generated by revolving the given plane area about the given line, using: I.) Sketch…

A: To find the volume generated by revolving the given area about the given line, using: I To sketch…

Q: Solve dy dx +4y=2.

A: Solving the differential equation by seperation of variables

Q: If f(x) = In(4x + In(x)), find f'(1). f'(1) =

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Q: b. 1 1 + In u น - du

A: We can you evaluate the given integral by using the substitution v = ln u

Q: Solve the following differential equations of d²y +9y=2e³x +18x+18 dx²

A: First i I have find the complementary function and then particular solution then adding these two…

Q: -if y=x² the dy dx

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Q: Q2-Solve the differential equation dy = - y xcos² (-) dx

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

Q: IF x=t, y=t², 2= 2/3 t3 and r is the position vector, denoted by r=ti + t²j + 3/23 t²³³ k dT @ Find:…

A: Acccording to question,Given equations,x = ty = t2andz = 23t3andr = t i^ + t2 j^ +  23t3 k^

Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6

A: We know that the standard equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k )…

Q: Use logarithmic differentiation to find the derivative of the function. y = (x5 + 2)²(x4 + 4)4 y'(x)…

A: By using logarithmic differentiation to find the derivative of the given function.y=x5+22x4+44

Q: Given the sequence Of (n)=2+2 Of (m) = 2 + 1/ n Of(n)=n+: 1+n Of (n)=3--1/ = 21/1, 23, 2441... what…

A: Use sequence concept

Q: Solve the following differential equations of 1-(x+3x' sin y) dx + (x* cos y)dy =

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: Find the inflection point(s), if any, of the function. Enter your answers as (x, y). If there are no…

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Q: Weight 2 3 Cost 130 195 4 260 5 325 6 390 Using the information given in the table above, answer the…

A: we have to find  d) y-intercept of the function  e) equation of the function , with the help of…

Q: All computations in this section must be done by the definition of Taylor series (taking…

A: For (4), Given: f(x)=2x3+x2+3x-8. Now,          f'(x)=6x2+2x+3f''(x)=12x+2f'''(x)=12

Q: For the curve f(x) = 2-5x +4x², the slope of the tangent is -5 + 8a at the general point where x =…

A: This question is related to tangent to the curve, we will solve it using given information.