A. Evaluate the following: NO Differentiation 1. lim(x³ - 2x² + 3x-1) x->2 2 lim (4 + 3r²-2r+5)

Q: 2 x dy = (2x-yJdx

A: It is not clear whether the question is 2*dy = (2x - y) dx or 2x dy = (2x - y) dx So, here is the…

Q: 15348 + A4CF16 = 10

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Q: Q distance distance formula @ Find the distance Define between A(1, 2) and B(-2, 2) resp: (1) show…

A: Since you have posted multiple questions i can do first question with all subparts as per our…

Q: In a class of 40 students, 27 like Calculus and 25 like Chemistry. How many like both Calculus and…

A: given data  total student = 40 student like calculus = 27  student like chemistry = 25 how many like…

Q: Given f(x) = 3 csc (x), write the equation of the line tangent to y = f(x) when X = 4π 3

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Q: 2) Consider the DE: (2xy − 6x²)dx + (x² +9)dy = 0 - A) Determine whether the DE is exact or not,…

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Q: A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A: Let horizontal distance = x vertical distance = y let length of ladder denoted by = k given k = 13 =…

Q: Use the First Derivative Test to find the location of al local extrema for the function given below.…

A: Topic = Functions

Q: The DE (-7ln(2y) - 4ex) dx = x = ( 7x + 2y) dy у is an exact differential equation. Select one: O…

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Q: Let f(x, y) = x² + 2y² and C be the curve a of the following: (a) [ f(x,y) ds (Setup but do NOT…

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Q: Suppose the function y = f(x) is defined by an equation x² + y² + sin(xy) = 9. Given that f(0) = 3.…

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Q: Use the first derivative test to find the location of all local extrema in the interval (0, 2) for…

A: given f(x) = 2sin3x - 5 for maxima or minima step 1) find points where f'(x) = 0step 2) if f''(x)…

Q: If f (x) = A B = 1+ V x, then f(x) = C 1 √x√1. 1 /l+V F 1 4xV1+V x

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Q: Determine whether the following integral converges or diverges. π 2 So² cos (0) de √sin (0)

A: Given query is to find integral converging or diverging.

Q: Find x and y: 1. You have 400ft of fencing to construct a rectangular pen for cattle. Then, the…

A: Topic - Application of derivatives We are given length of fencing available =400ft Perimeter of…

Q: Simplify the lefthandside so that LHS = RHS: sin (b) sin (b) 1 + cos(b) || || || || 2 tan(b) 1…

A: Topic - Trigonometry We are given sin(b)1+cos(b)-sin(b)1-cos(b)=-2tan(b) (a+b)(a-b)=a2-b2

Q: ue, find lim f(x). 8118 red vertical dashed line is the vertical asymptot (x). You may pan and zoom…

A: Given query is to find indicated limit.

Q: Work Problem solutions and justify your answers. 1) dy dx Write step-by-step Consider Bernoulli's…

A: We will use standard method to solve this.

Q: 2) Use the graph of Q(x) on the right to determine the following; a) Q (-2) edw (2) b) Q (2) c) Q…

A: given graph of Q(x)

Q: A function is said to have a horizontal asyl infinity exists. Show that each of the following…

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Q: An open-top box is to be made from a 12-inch by 48-inch piece of plastic by removing a square from…

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X→∞ X118 Provide your answer…

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Q: 2. Eliminate the arbitrary constant(s) in the following equations: a. y C₁x²2+ C₂x + C3 b. tany C₁…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find the slope of the tangent line to the curve below at the point (1, 7). √3x +2y + √5xy =…

A: NOTE: we can answer up to 3 subparts only. . take derivative on both sides

Q: Which is not an irrational number e Oj O pi Di tau

A: which is not irrotational number  this is the question of numbers  we have to find that which number…

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1…

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Q: If f(x) = x²√√3x+1, then f'(x) A B с D -9.x² + 4x 2√√3x+1 15x² + 4x 2√√3x + 1 9x² + 2x 3x+1 -3.x² -…

A: To find f'(x)

Q: Work Problem 1, Consider the DE: (4x + 6y)dy + (-2x + 4y)dx = 0 A) Using only the notations followed…

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: Using a proper substitution, Bernoulli's equation dy dx - 5 xy = - 4 x²y4 will be reduced to the…

A: Please see the below picture for detailed solution.

Q: The volume of a cylinder with a radius of 5 inches is increasing at a rate of 367 in ³/min. How fast…

A: Given, r= 5inches volume is increasing, dV/dt = 36π in3/min h= 10 inches  Radius is not changing so…

Q: What is the maximum vertical distance between the line y=x+30 in the parabola y=x2 for -5<=x<=6?

A: Given, Equation of line : Y=x+30 And  Equation of para bola  Y=x2 For -5&lt;=x&lt;=6

Q: What is one specific real-world scenario where e is used and one where the natural logarithm is used

A: where the natural log and where the e is use explanation is given below e value is ln where natural…

Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the…

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Q: Find the formula for an exponential equation that passes through the points, (0,6) and (1,5). The…

A: The given points are: 0,6 and 1,5   Let the exponential equation is: y=abx   ...1

Q: he graph of f(x) is given below. On what interval(s) the value of the derivative f'(x) positive?…

A: Given query is to find the interval where f'(x) is positive.

Q: -10 -5 lim f(x) = 811x y -5- 0 Provide your answer below: --5- 5 10 X

A: We need to find limx→-∞f(x)

Q: 3) a) b) Suppose N(t) = (3067) (1.1) shows the number of inquiries received by the Undergraduate…

A: Given :- Nt=30671.1t Nt=Number of inquiries received by undergraduate office of a certain college…

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² + 2y² =…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to solve this equation for…

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). x-x X118 Provide your answer…

A: Given query is to find indicated limits.

Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) negative?…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2) c) Differentiate each function below. Be sure to use proper notation to distinguish between a…

A: We will find the required derivative.

Q: For what value of X does the function f(x)=x³9x² 120x+6 have a relative minimum?

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Q: Identify whether the statement represents an exponential function. A population of bacteria…

A: To identify whether the statement represents an exponential function.A population of bacteria…

Q: Find the point(s) on the curve y - The point(s) are separated by commas) 10 closest to the point…

A: Let's find points on given curve which is closest to the point (0,9).

Q: Rewrite the following equation in logarithmic form using the natural logarithm (ln). Hint: you will…

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Q: A. If f¹(x) = 2x¹/7 – 1 find f(x) -

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Q: The graph of f'(x) is given below. On what interval(s) is the value of f(x) increasing? Give your…

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Q: Consider a continuous mas critical points at x = 3. The function f(x). The function -2, x = 2, and x…

A: If f ′(x) changes sign from positive to negative as x increases through c, then c is a point of…

Q: Given f(x) = √√x+2 and 2 g(x) = x²-3x

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Q: Use linear approximation to estimate 1 √117 Give your answer as a single rational number.

A: Linear approximation of a function f(x) at a point x=b is giveb by f(x)=f(a)+f'(a)(x-a)