3 PROBLEM 2:f(x) at (-1,3) x+2

Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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Q: Find the error propagated from the function y = 3x* if an error of 0.04 occurs in the independent va...

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.

Q: Suppose z = a? sin y, x = 2s² + 3t², y = 4st. A. Use the chain rule to find az and dz as functions o...

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Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...

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Q: The size of a certain insect population is given by P(t) = 300e 02 where t is measured in days. At w...

A: Given query is to find the time when population of insects will be 1500.

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: 2. Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 12 in...

A: This question is based on maxima and minima.

Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

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Q: Separate the variables and evaluate the DE:   cosx/dx + 1/ydy =0

A: Given that: cosxdx+1ydy=0

Q: 4. f(x) = x² – 1; c=-1

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Q: Find the area of the region bounded by: r = 10 cos(100) 0 <0 < 2n

A: Given :r=10cos(10θ) 0≤θ≤2πTo find : The area of the region   

Q: For the given p-series, identify p and determine whether the series converges. 4/3 k=1 p = Therefore...

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Q: Write equations that correspond to a mental method for calculating the difference below. State speci...

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 4. The differential equation (3.y-4y' +6)dx+(x' – 6x?y' -1)dy = 0is exact because %3D aN

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Q: Determine the radius of curvature of the plane's path (km). Round off your answer to the nearest 2 D...

A: Given that:                              

Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: The differential equation (3x +2.xry + 4yʻ kdx+ (xr +8xy +18ydy = 0 is exact because ƏN ƏM

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Q: he cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the a...

A: Given query is to find the average rate of change and instantaneous rate of change of cost.

Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is...

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Q: 1. Let R be the region in the first quadrant bounded by the curves x = y² +2 and x = 3y. Set up inte...

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Q: Let а 3 (1,0, —2). 6 = (3, 1, –1). č = (1,0, –1). - Find the triple scalar product ā o (b × č), and ...

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Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

Q: Evaluate the limit. Vx2 + 3 lim 3x2 + 1

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i ...

Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

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Q: What is the Order of the equation? O 1 O 2 O 2/3 Оз What is the DEGREE of the equation?

A: Follow the procedure given below.

Q: For what values of x does the series converge​ absolutely?  For what values of x does the series co...

A: Notice that                   limn→∞n+1xn+1n+4nxnn+3=limn→∞1+1nxn+11+4nxn1+3n=limn→∞1+1nx1+4n11+3n=x

Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

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Q: Determine C when x=y=O (xy + x)dx = (x²y² + x² + y³ + 1)dy C=0 C=1 C=-1 None of the Choices C=2 C=-1...

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Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

A: Given that: 13lnnnn=1∞

Q: x'dx The integral expression can be evaluated using integration by parts of the form udv = vdu Using...

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Q: 2 Find pxV 1+ 3x² dr, where P is the ellipse parametrized as follows: r(t) = , 0<t< 2n

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Q: Use the limit comparison test to determine whether the series converges. 00 4 5k + 5 k=1

A: Given that: ∑k=1∞45k+5

Q: (i) Let an Σ n cos A. Which test should be used? (enter upper case DCT for direct comparison test or...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Let S be the plane with the equation x + y – 3z – 6 = 0. - Find the distance between this plane and ...

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Q: Write the equation of the circle in general form that will satisfy t conditions. C. 25. Center 5:4, ...

A: Given that: 28. Line segment joining (0, 7) and (-6, -3) is a diameter.30. Center is at (0, -9) and ...

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuou...

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Q: Consider the demand equation where x represents the quantity demanded in units of a thousand and p i...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Let i = (43, –203, 8301). Find the cross product i x 37v. The answer is simple, and you do NOT have ...

A: v→=(43,-203,8301)v→×37v→ =37(v→×v→)In cross product of vectors formula is goven as ( a→×b→=|a||b|sin...

Q: A piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is b...

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Q: (1 Each graph below represents a solution to one of the following differential equations. Match the ...

A: NOTE:- AS POSTED MULTIPART OF THE QUESTIONS, WE ARE ANSWERING ONLY FIRST THREE PART OF THE QUESTIONS...

Q: Gve the doman of the function as represented by its graph. 4+ 3 2- 3 2 i 3

A: Domain of function is the set of the values of inputs.  Here In this case of graph, the set of input...

Q: 4) lim Vx + 2 DNE x--2- 5) lim f(x) DNE, given that f(x) = {*+1 if x<2 (x-4)2+3 if x22 x-2

A: Topic:- limit Calculus

Q: Activity 3: Limits of Functions A. Evaluate the following limits by completing the table of values. ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 5. f(x) = c= x3-x %3D

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: We have to solve the limits

Q: y = Che- + C2e-2 + x %3D y - 3y – 2x + 2y +3 = 0 Option 2 O None of the choices y/" - 3y - 2x - 2y+3...

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Q: Use the difference an+1 a, to show that the given sequence {a, } is strictly increasing or strictly ...

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