1. Compute the slope of the tangent to the parametric curve for the given point (0,3). x = t²-t, y=t² +t+1

Q: Use analytic methods to evaluate the following limit. Enter ONE if the limit fails to exist, except…

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Q: Rewrite the following equation in logarithmic form (Hint: the base in the exponent on the left is…

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Q: 2. Evaluate the following limits. Justify each step by indicating appropriate limit Law (s). If the…

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Q: A tank initially contains 60 gallons of pure water. Brine containing 1 lb of salt per gallon enters…

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Q: dt Draw a phase portrait and sketch typical solution curves. Use your solution curves t term…

A: Consider the differential equation,dy/dt = 12y - 3y²

Q: (a) Find the slope, m, of the tangent to the curve y = 4 + 5x2 - 2x3 at the point where x = a. m=…

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Q: 15. What is the equation of the given ellipse? (-3,2) O (x+3)² 4 O (x+3)² 7(y +1.5)² 2 2 + (-1,-1.5)…

A: The given ellipse

Q: please explain the solution I don’t understand how they got the system of equations and where did -1…

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Q: Solve the following exponential functions 22x-4=8

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Q: V-3 7. lim 9-3 3 (²7³) - <=0

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Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

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Q: A company reimburses its sales representatives $200 per day for lodging and meals plus 40¢ per mile…

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Q: Use an iterated integral to find the area of the region. bb dy dx = 3 2- 1 2 3 X 5 (5,3) 6

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Q: Find the vector equation of the line that goes through the point (18, 11, 20) and is perpendicular…

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Q: A skew-symmetric matrix is a square matrix G such that GT = -G. Give three different examples of…

A: Given that , A skew symmetric matrix is a square matrix Niw we need to give three examples of…

Q: Find the inverses for the following functions. 9e² e +8 a) f(x) = f-¹(x) = b) g(x) =…

A: a) f(x)=9ex/(ex+8)b) g(x)=ln(2-x)+ln(-5-x).

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: Given:   f(x) = x2 + 6x + 2       [ 0 , 6 ]     f(c) = 29

Q: Suppose the quantity demanded, q, of a product when the price is p dollars is given by the equation…

A: The quantity demanded is given by the equationp=455−16qThe quantity supplied is given by the…

Q: 9. Find the values of a and b that makes the following function continuous at r= -1 and 2 = 1. 1³ +7…

A: To find the values of  that makes the following function continuous at .

Q: Find (g - f)(x) f(x) = 2x + 3 g(x) = 6x-4

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Q: 1. Triangle PQR is drawn with QR = 6.00cm, PR = 7.50cm, and m/QPR = 30°. What is m/PQR. 38.7° or…

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Q: Consider the following. √x² - 2 if x + 1 -3 if x = 1 f(x) = - -2 y -1 1 2 X Use the graph to find…

A: Here we will find the limit on using the given graph from the left and right hand limit concept

Q: 2. Differentiate and simplify leaving answers fully factored and in 2x²-5 2x+1 a) h(x) = =

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: tank contains 80 kg of salt and 2000 L of water. Water containing 0.7 kg/L of salt enters the tank…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 0 Question 4 f(x) = for a # 2 for x = 2 Let fbe the function defined above. For what value of kis…

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A: Find the solution of the two questions from the given chart.

Q: 3 -1 5 3 35 m+n -2 where I is a 3x3 identity matrix. Find the values of mand n. 12 2. Given that the…

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Q: If f(x) = 15, find ƒ'(−11).

A: Given that the function To find the value of

Q: 2 x-1 x +1 14. Evaluate the limit: lim

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Q: For the function, find the points on the graph at which the tangent line is horizontal. 2 y=x² +1 HE…

A: For the following function, to find the points on the graph at which the tangent line is horizontal.

Q: Find the differential equations of the following families of curves Circles with centers on the…

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Q: 2b) f(x) = 2x²-1 4 2c) h(x) = (2x − 1)4(4x − 3)³ 2d) h(x) = (x²+1)² (2x²-3)²

A: Differentiate the function

Q: 5. Determine the area that lies inside r-3+2sine and outside r-2.

A: given curves are

Q: y-2 (x - 2)²· Indicate the range of z using interval notation. Note: To answer 'infinity', use 'oo'…

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Q: Let g(x, y)=√x² + y² - 49. Graph the boundary of the domain of g below and indicate whether the…

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Q: Let t(): == 10 T²112+28 Determine the values of z for which t has a vertical asymptote. If multiple…

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Q: Determine the following limits. Enter DNE if a limit fails to exist, except in case of an infinite…

A: L=limx→∞20x+24−4x3−8x2−27−27x+3x2+3x3

Q: The graph of fis given. Use the graph to compute the quantities asked for. y -21 -14 -7 21 14 7 -Mt…

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Q: The table below gives the annual sales (in millions of $) of a product. 2012 2013 2014 2015 2016 252…

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Q: The number N of internet subscribers in Centertown is shown in the table below. Estimate the…

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Q: At x = 3, the function given by f(x) = {6x-9,7 ≥ 3 <3 is undefined

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Q: Q5: Draw and Find the Position of the Centroid of the Figure bounded by ye with the x-axis and the…

A: Using integration, we can find the coordinates of centroid.

Q: Find the inverse Laplace transform f(t) = £¯¹{F(s)} of F(s) = 4s +8 s² + 17 s> 0

A: F(s)=4s+8s2+17s&gt;0

Q: 1. Find the differential equations of the given relations by elimination of arbitrary constants. 2x…

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Q: 1) Explain why the following integrals are considered as improper integral. Then re-write the…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: The graph of y = 2x - 3 -6x + 8 has a horizontal asymptote with equation

A: y=2x−3−6x+8

Q: O 36 85 11. Given sin A = -36 85 -11 85 O 11 85 —— sin(A - B) تن ان 5' =- cos B= 17 and A and B are…

A: Given that , both angles A and B are in quadrant 3 and we need to find out the value of the sin(A-B)

Q: Evaluate the integral. •π/2 π/4 5 cot³(x) dx

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Q: do #4

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Q: Determine the following limits. Enter DNE if a limit fails to exist, except in case of an infinite…

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