-2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co o...

A:

Q: Where should the point:p be chosen on the line segment So as to maximize the angle o ? AB 2

A:

Q: Let a be a real number. Consider the series Σ where an = cos(n7) An, 2n +1° n=0 Find all a > 0 such ...

A: Given a series,

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below 

Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? %3D

A:

Q: Square roots of 5(cos(120degrees)+isin(120degrees)) Find the roots of the given complex number in tr...

A: Given :square root of 5(cos120°+isin120°)

Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a ra...

A: Depth of the snow= snow rate*(time) 0≤t≤4f(t) = (2 inches per hour)*(time)f(t) = 2 tfor the next fou...

Q: Average speed (mph) Number of laps 0<s < 140 140 < s < 145 20 145 < s < 150 32 150 < s < 155 57 155 ...

A: From given table

Q: 2. Consider the power series 1 (-1)*+1 (x-5)" 4nn What is the center ? What is the interval of conve...

A:

Q: Q.4: Determine the intervals of the function F(x) = 2 x - 7x + 5 for whichf(x) 2 0. %3D

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Q: e Does the series E converge or diverge? 8n n=1 1+ e

A:

Q: 1) Consider the function f(x) = In(x + 5) + x + 5 Verify that the function F(x) = x In(x + 5) is an ...

A: Explanation of the answer is as follows

Q: Jse the methods of chapter twelve to determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (...

A: Coplanar vectors

Q: Find the equation of the normal line to the curve y = 2x - x at (2, 0). O a. 2x - y = 4 O b.x - 2y =...

A:

Q: years old grew 36 to 48 inches in height each year. A 240 inches tall. Which of the following inequa...

A:

Q: y = 4+t-y, y(0) 1 (a) Find approximate values of the solution of the given initial value problem at ...

A: Let's find. 

Q: A mus seum un T1 throughout its c represents an ac The model of th model of Earth. actual distance,

A: The scale used in the model: 1 mile = 400, 000, 000 miles  (1 mile in the model represents the actua...

Q: 2. Find the family of orthogonal trajectories of the given family of curves in the following equatio...

A: x2+2y2=kf(x, y, k) = x2+2y2-k =0differentiating w.r.t  x,2x + 4y dydx-0=0dydx= -x2ysubstitute -dxdy ...

Q: Find the solution to the differential equation dB + 3B = 90, dt %3D with B(1) = 100 B =

A: We know, ∫emxdx=emxm, for any real number m.   Given differential equation, dBdt+3B=90....(i) with B...

Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

A:

Q: Nx - M, If R, where R is a function depending only on the quantity z = xy, then the differential equ...

A:

Q: A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot o...

A: Using pythagoras theorem;Right angle triangle ABC, x2 + y2 =252      ....(1)

Q: Select ALL possible answers. * Which of the following is/are true about the function whose graph is ...

A:

Q: :G(x) = tan t dt. G (1)=0 G' (0) =0 G' (중) 3D

A: This question is based on definite integral.

Q: Graphs of the position functions of two particles are shown, where t is measured in seconds. (Enter ...

A:

Q: (b) Then do the following: • If your answer is porsible, provide a specific example (a specific an) ...

A: D. Possible.     ex. an= 1n2  ⊙   limn→∞ 1n2 = 0 . Hence, an  converges.  ⊙  ∑n=1∞1n2 is converges b...

Q: х If f(x) = cos(1? + 1) dt, then find f'(x). %3D Select one: O A. None of the others O B. sin(x + 1)...

A:

Q: After an automobile is 1 year old, its rate of depreciation at any time is proportional to its value...

A: We will calculate the time, then we will calculate depreciation value.

Q: Solve the following initial value problem for y as a function of x dy 3+ /39 Vx² - 2- 25 = 1, x> 5, ...

A: Here we have to use the following formula 1)  ∫dxx2-25=ln x+x2-25+c2)  lnab=ln(a)-ln(b)

Q: To test this series for convergence n' + 2 You could use the Limit Comparison Test, comparing it to ...

A:

Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

Q: Find a domain on which f(x) = (x −3)2 is one-to-one and non-decreasing, then find the inverse of f r...

A:

Q: The table shows the results of a survey on the average amount of money d, in dollars, consumers woul...

A:  Given: X Y 25 42 28 36 33 26 35 22 42 8 Straight line equation is d=ax+b The normal...

Q: find the equation of the normal line to the curve y=x^3 + 3/x at (1,4)

A: Solution ) Normal line is perpendicular to the tangent line  So first find slope of the tangent line...

Q: Use a linear approximation (or differentials) to estimate the given number. e0.01

A: We use linear approximation to find e0.01 By linear approximation f(x)=f(a)+f'(a)(x-a) we take a=0 b...

Q: Find a value for the constant k, if possible, that will make the function continuous. Skx², (2x + k,...

A: Answer: The solution is as given below:

Q: 3. The scatterplot shows the relationship between two variables, x and y. A line of best fit for the...

A:

Q: According to th an average of 1. Saturdays, whic of time the stuc the Internet on A) Between 3. B) B...

A: The best fit line gives the best estimated expected value of the variable observed from data trends....

Q: Use L'Hospital's rule to determine the following limits: 3sin5x i. limx¬o 6x i. lim- log2 x log3 x '...

A:

Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x...

Q: Use the integration by substitution to find the integral –6x² – 4 dx . (7³ + 2x)²

A:

Q: I and late the integral and deter ergence of (problem in pict M/4 sec²x a. 1-tan x

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Q: Given a function whose graph is shown below. 2 4 The function is continuous on[1,3]. Always True 1. ...

A:

Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) 3D Зх — 4 (...

A: solution is given below.....

Q: Example 19: (a) Ifx +y = 25, find dy/dx.

A: We have to calculate dy/dx

Q: Determine whether the equation is exact. If it is exact, find the solution. (e*siny + 4y)dx – (4x – ...

A: An equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂xand the solution is given by ∫Mdx+∫Ndy=C  On ...

Q: A scientific sample of radium-2 decayed to 81% of its original amount after 2 years passed. Figure o...

A: Find your answer below 

Q: An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole...

A:

Q: The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5 inche...

A: Given problem:- The sides of a cube are found to be 6 feet in length with a possible error of no mor...

Q: (a) Plot the first four terms of the sequence 3n? – 3n + 2 n=1

A: We have to plot the first four terms of the given sequence.   According to our guidelines we can sol...