21/ Find the derivatives for the following. y = (Inx) 5 a

Q: Evaluate lim x--7 1 4x+3 1 4x+8 +1+ Enter an exact answer. 25 1 20

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Q: h(x) [arctan (2x]10 =

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Q: Directions: Find all points (x, y) where f(x, y) has a possible relative maximum, minimum, or saddle…

A: f(x,y)=-8y3+9y2

Q: Use the shell method to find the volume of the solid generated by revolving the regions bounded by…

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Q: 20) Find the conditions on a and d such that the matrix A = [] has and inverse. What is the inverse…

A: Given,

Q: Find the area of the parallelogram whose vertices are given. A(0,0,0), B(3,2,6), C(4,1,6), D(1,-1,0)…

A: Area of parallelogram is given by

Q: Write an equation for a line perpendicular to y = 2x - 4 and passing through the point (-2,-2) *****

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Q: The population P, in thousands, of a small city is given by the following function, where t is time…

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Q: On the first day of the month, Michael places 5¢ in a jar. The next day, he places 7¢ in the jar.…

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Q: Evaluate the iterated integral xex I for d -dy dx.

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Q: A bungee jumper dives from a tower at time t = 0. Her height h (measured in feet) at time t (in…

A: The given height function

Q: Find a function f and a positive number a such that S² - dt = 5x-², f(t) t6 a f(x) = a = 2+ x>0

A: To find a function  and a positive number  such that,

Q: 6e2x 1-etx Select one: -dx = O a. 6sin ¹e²x + C O b. In√√1-e4x + C 3sin-¹e2x + C O c. O d. 3√1-e+x+C

A: We need to find out the integration."Note that as per the rules, when the multiple questions are…

Q: The RideEm Bicycles factory can produce 120 bicycles in a day at a total cost of $10,900. It can…

A:

Q: Use the graph of the derivative f' of a continuous function f on the interval (0,9). (a) On what…

A: Dear learner,As per our guidelines, I can solve only three sub parts of a problem at once further…

Q: Directions: Find all points (x, y) where f(x, y) has a possible relative maximum, minimum, or saddle…

A: To find all points  has a possible relative maximum, minimum, or a saddle point.

Q: Don www doc del B enter ?! ► 7 5. If f"(x)= x(x+1)(x-2), then the graph of fhas inflection points…

A: The first question is asking for the inflection points of the function f. Inflection points occur…

Q: Find the first partial derivatives of 2x 4y f(x,y) 2x +4y af ?x af ду = (1,3): = (1, 3) = - at the…

A: The two variable function is given by:We need to find the first derivatives at the point Important…

Q: Directions: The interval [1,4] is divided into n = 5 subintervals. Calculate the following: 1. The…

A: Need to divide [1,4] interval in n=5 subinterval.Width of each interval.width=end point−start…

Q: Find an equation of the line that passes through the point (2,4)  and is perpendicular to the line…

A: Solution-The line 3x +4y-22 =0The point (2,4)Write the equation in the standard form,

Q: An accessories company finds that the cost and​ revenue, in​ dollars, of producing x belts is given…

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Q: The number of bears in a park is modelled by the function g(t)= 2+15e-0.3 * ,0≤1≤24, where ris…

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Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x(t) = 2t³ – 6t² –…

A: The position of the particle is given byFormula used: The veocity of the particle can be determined…

Q: 4. Find the limit : (a) lim x →∞ (b) lim X→3 2 4 2 3x² + 7x²-8x + 10 3 12x³-4x² - 4 X-9x + 18 x-3

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) |x - 8| lim 18+ x - 8 Enter…

A: we need to find out the limit.

Q: Directions: Construct a Regression Model for the following data. Years (after 2000) Dollars 9 8175…

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Q: If g(x) is a twice-differentiable function, g'(c)=0 and g"(c)>0, then x=c Please select the correct…

A: Second derivative test : Let f(x) be the given function and c be the critical point of f.If f"(c)…

Q: Determine whether the statement is true or false. 1 1 4 -2 X dx = 3 8

A: Let assume,

Q: Directions: Find and classify the critical points of the following function. If there are more…

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Q: Give a limit expression that describes the left end behavior of the function. 7 42x + 3x 2 18x - 2x…

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Q: Discuss the continuity of the function. x² 4 x + 2 f(x): - f is discontinuous at x = -5 -4 -3 -2 -1…

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Q: Directions: Solve the initial value problem. Solution: y = 0 y' 7-t y² and y(0) = 5

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Q: Find the equation of the following lines in the required form: a. through the points P(1, -3, 2) and…

A: As per our guidelines we are supposed to answer only first question in multiple questions i.e.…

Q: 5. Find dy: dx (a) y = cas (21x² + 6x + 2) 4 (b) y = cas² (21x² + 6x + 2)

A: The given functions

Q: Determine whether the function is continuous over the interval ​(negative 6−6​,66​)?…

A: The objective of the question is to determine whether the function, as described by the given points…

Q: Find an equation of the sphere with center (9, 4, 6) that just touches (at one point) that…

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Q: = 4 and the planes y + z = 4 and Find the volume of the solid bounded by the cylinder x² + y² z = 0.

A: Cylinder:Planes:y+z=4z=0

Q: Directions: Calculate the following indefinite integral (make sure you include +C as part of your…

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Q: Evaluate the following limits. If necessary, enter INF for ∞o and -INF for -∞. -0 a) lim xx b) lim…

A: The given questions are simple functions so we can directly put the x value and find the solution.

Q: 3 / (2³ + 3² + sinz + soc³² 2 + √₁ ²32 + √2) +sinx+secx+ dx √1-x²

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Q: Consider the function below: (-1.9,3.0) Interval 1: (-1,4) Interval 2: Identify all intervals over…

A: Consider the function below. To identify all intervals over which the function is increasing.Note:…

Q: The graph of a function f is shown below. Find one value of x for which f(x)=4 and find ƒ (2). = 4:…

A: From the given graph, need to find a) one value of for which f(x)=4b) And find value of f(2)

Q: 1. Determine if the sequences converge or diverge, and justify your determinations precisely. Il…

A: The given nth term of sequence is ,

Q: Use the graph of F to find the given limit. When​ necessary, state that the limit does not exist.…

A: The objective of this question is to find the limit of the function F(x) as x approaches -7. In…

Q: Directions: Solve the initial value problem. Solution: y = y' ey and y(0) = 5

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Q: a) dy dt + 2y = 3, y(0) = 1

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the indicated partial derivatives. a³w дz?удх а3w 0x2ay W у + 72

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Q: Let Xn=cos пл 2 then limit supremum of the sequence is

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Q: Evaluate the limit lim Select one: a. O b. 0 com C. -x O d. a نی | م 8 Inx³ r using L'Hopital's Rule…

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Q: Directions: Calculate the following definite integral. Use the substitution rule or integration by…

A: Let assume,