of the curve defined by x=3t-t anc

Q: valuate lim v9x² – 5x + 3x

A: Given: limx→ -∞ 9x2-5x+3x

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A: Equation of tangent line of a function f(x) at (a,b) is given by, y-b= f'(a)(x-a)

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) V…

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Q: Q8)Problem Kong1: Solve for the general solution of the equation: 2x’’+ 200x = 0. Show all math…

A: This is a problem related to second order differential equation. Based on the integration concept we…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Rownd your answer to two decimal places when…

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Q: 9t + 8 dt t

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Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

Q: Eliminate the constant 'a' from the equation. (x – a)² + y? = a² O (x? – 2y)dx + 2xydy = 0 (x² – y²…

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Q: Question 3 Assume y is a differentiable function of x which satisfies the following equation: y2 +…

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Q: 2(у - 4x?)dx + хdу %3D 0. x²y = 2r* + c

A:

Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

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Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

A:

Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: E(0.1)"-1 + (0.9)"] n =1 Determine whether the given sequence converges or diverges. If it…

A: This is a problem related to series and sum calculation. Based on the general formula we will solve…

Q: dy = 3 , find dt dx when x = 1 dt x and y are functions of a third variable t. If Væ + Vỹ = 4 and

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Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

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

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.

Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

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Q: x² sinh x dx

A: Let's find.

Q: What is the contour map of the function using the given values of k? t(x, y) 1 1 1 1 x² + y? k = 0,…

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y²(2x² + y²) = c O 2y(2r² + y²) = c

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Q: Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

A: limn→∞ 4n2+2n+34n2+6n+2=limn→∞ 4+2n+3n24+6n+2n2=limn→∞ 4+2n+3n2limn→∞ 4+6n+2n2=44=1

Q: x2-25 The limit of the function f(x) = as x approaches 5 is equal to -10. 5-x TRUE FALSE

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Q: 4. For each of the following, state whether the equation is ordinary or partial, linear or…

A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: Consider the following. u = (-9, -6, 4), v = (6, -7, 0) %3D (a) Find the projection of u onto v. (b)…

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Q: 3. The value of a certain baseballcard (in dollars) tyears after 2015 varies according to the…

A: Given function describes value of card t years after 2015

Q: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.

Q: 1. a. Use the substitution u = e' and partial fraction decomposition to derive the following…

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Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

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Q: 17. SHOW ALL WORK Use De Moivre's Theorem to evaluate the expression. Write the result in standard…

A: Given,              1-i4To find : Use De Moivre's theorem to evaluate the expression.We know that,…

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5+ 3n3…

A: As you have asked for the solution of questions a -c only. So I am solving those only. Thank you.…

Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: (d) (u v)v (e) u (3v)

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Q: Determine

A: We have to determine the given series is converges or diverges

Q: Find the mass and center of mass of the lamina bounded by the graphs of the given equations with a…

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Q: Use limits to determine all the linear asymptotes of 3x2 – 5 if a1. a² + 2x – 3'

A: Let's find.

Q: Evaluate the line integral fe 3y dx + z? dy + (25 - x) dz over the quarter of the circle of radius 5…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: We have to find the volume of the given region according to the given information

Q: Choose the rule that you would use to most efficiently find the derivative of the function 3 f(x) =…

A: The given function,   f(x)=32-x3

Q: c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Consider the following function. 1 f(x) : X. Find its average rate of change over the interval [4,…

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Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: Solve the area of the surface of the revolution generated by revolving the arc of the curve, x= y³…

A: A detailed solution is given below.

Q: Prove that you Can use the integral teSt on the Series which is the Sum to infinity of the terms a…

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