Determine the speed (in meters per second) of a particle with a trajectory (3 sin (3t), 8 cos (3t)), at to = . (Use decimal notation. Give your answer to three decimal places.) ds dt ko-n/4 m/s

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given query is to find series converges or diverges.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ...

A:

Q: Find the convergence set of the given power series: 2" x" n! n=1 The above series converges for < x ...

A: Given:   Limit equations is given

Q: rsin 28x /ī+ t² dt and If f (x) = So g (y) = ' f (x) dæ., what is g" (6s )? 168

A:

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .  

Q: Determine whether the improper integral converges and, if so, evaluate it. (Give your answer to one ...

A:

Q: Write the equation of a sine function that has the given characteristics. The graph of y = x2, shift...

A: Given that: y=x2

Q: for a sum of $8000 to double in 12 years and 9 months, what must be the rate of interest compounded ...

A: The solution is given in the next step.

Q: Use a calculator to solve the following equation for 0 on the interval (0, T). 1 cot (0) Find all th...

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Q: 137 What is the value of cos-(cos d) where d = 15T radians? If undefined, enter Ø. 2 Provide your an...

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Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: 00 Does the series E (- 1)"n4 converge absolutely, converge conditionally, or diverge? n = 1 Choose ...

A:

Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

A:

Q: 1. SS xy dxdy , O: yob, yox? yoh, y 2 2

A:

Q: Find y' : In(cos² 3x) = e*+y + sin¬1 y

A: Given that: ln(cos23x)=ex+y+sin-1y

Q: For the following functions. Please show all evidence. (a) Identify all local extrema, (max or min.)...

A:

Q: Find the series' radius and interval of convergence. Find the values of x for which the series conve...

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Q: d²f , df_ (a) +5- - + 6f =0, f(0)=1, f(0) =- 4 dt? dt

A:

Q: Let f(x) (8 sin r + 9 cos I)tan f'(x) =

A: Topic = Derivative

Q: Find y'' by implicit differentiation 4x3+3y3=6

A:

Q: 00 Does the seriesE(- 1)"n³ converge absolutely, converge conditionally, or diverge? n= 1 ... Choose...

A: Given series is  ∑n=1∞ -1nn323n To determine whether the series converges absolutely, converges cond...

Q: Solve by integration by parts.

A: Given that: ∫1x1+x6dx

Q: The population of Hungary has been modeled by P = 9.919(0.998)',

A:

Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

A: Given that: a=&lt;2, 0, 3&gt; and b=&lt;3, 1, 2&gt;

Q: 24.) The radiusr of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of c...

A:

Q: A moving truck rental company charges $20.95 to rent a truck, plus $0.62 per mile. Suppose the funct...

A: Given:- A moving truck rental company charges $20.95 to rent a truck, plus 50.62 per mile. Suppose t...

Q: 15 What is the exact value of tan (sinr) where r = 17? Provide your answer below:

A:

Q: Part A The human heart consists largely of elongated muscle cells, some 100 µm long and 15 um in dia...

A: We need to choose correct option.

Q: Show that V is not a subspace of R°: V is the set of all (x, y, z) such that x + y +z = 3

A:

Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: # 00 R #3 The temperature, H, in degrees Fahrenheit (°F), of a can of soda that is put into a refrig...

A:

Q: y" – 2y' + 2y = 0, y(0) = 1, y (T) = 1 -

A:

Q: sec" y dy- (f) tan y

A: Topic = Integration

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 1 S = n=5 n+1 n+ 2 where S...

A: Given: S=∑n=5∞ 1n+1-1n+2

Q: The height of a hot air balloon can be modeled by the function S(t) = −2t2 + 60t + 1, where S(t) is ...

A:

Q: Consider the plane area shown where r= 18 In. 20 in. 30 in. 30 in.- Problem 05.039.b - Application o...

A: Given: Length of rectangle (Lx ) = 30  Length of the rectangle in (Ly) =50  Radius of the semi circl...

Q: 1) appropriate and explicit substitution: Reduce the following integrals to polynomial type integral...

A:

Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be m...

A: Given:- A time study showed that, on average, the productivity of a worker after t hours on the job ...

Q: A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original qua...

A: We use radioactivity decay law 

Q: Evaluate the following expression. arcsec (2) Provide your answer below: Radians

A:

Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: A particle moves along a straight line so that s = 3t^3 – 4t^2. Find the time (in secs) to attain ma...

A:

Q: Multiplicities Use the images to determine the multiplicity (or power) for each root: (-1, 0) (0, 0)...

A: Given query is to find the multiplicity of each root of the polynomial from the graph.

Q: The two functions x(t) and y(t) satisfy the simultaneous equations dx/dt - 2y = -sin(t), dy/dt + 2x ...

A: Given: dx/dt - 2y = -sin(t), dy/dt + 2x = 5cos(t)

Q: Determine whether the improper integral converges and, if so, evaluate it. (Express numbers in exact...

A:

Q: Consider the power series (-1)"(2æ – 5)" n=1 Vn + 5

A:

Q: 1 2 3 4 5 6 7 8 9 10 11 12 13 1500 12 Sarah needs to cover a triangle that has a base of 34 inches a...

A: This is a basic geometry problem

Q: ) Show that the gradient of a scalar function f is a vector along the normal to the level rface whos...

A: Follow the procedure given below.

Q: 19. Identify the critical points and the inflection points of (x) FX) = (x - a)(x + a)', for a > 0. ...

A: The given function f(x)=x-ax+a3

Q: Consider the following function. +] - 2x + 2 3 2 (a) Find y'-f"(x). "(x) = (b) Find the critical val...

A: Topic = Derivative As per guidelines , At  a time only three sub-parts can be answered.