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Q: Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies. ...

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Q: The function f(x) = 7x In(1 + x) is represented as a power series f(2) = Cna". %3D n=0 Find the spec...

A: Ans is given below

Q: Let f(x) = sin x and g(x) = cos x. Find the exact value of the composite function. %3D 7 25 -1 g|f 2...

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Q: The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on...

A: Height and distance

Q: Find the Maclaurin series and find the interval on which the expansion is valid. f(x) = ex − 8

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Q: Find the surface area of the part of the sphere x2+y2+z2=9 that lies above the cone z=√x2+y2

A: answer is below

Q: Find the length of the curve. cos(4t) i + sin(4t)j + 4 In(cos(t)) k, 0 <t< n/4

A: We have to find the length of curve. 

Q: The region W lies between the spheres x2+y2+z2=1 and x2+y2+z2=9 and within the cone z=x2+y2−−−−−−√ w...

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Q: f(x) = * (-1)" + '(x – 5)" n = 1 ind the intervals of convergence of f(x), f'(x), f"(x), and f(x) dx...

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Q: Referring to the graph of f shown, use the graph to determine the value of the definite integral. ar...

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Q: Solve the differential equation x sin

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Q: Maximize p = x + 2y subject to x + 4y ≤ 22 4x + y ≤ 13 x ≥ 0, y ≥ 0.

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Q: Find the derivative , show all work please. f(x)=e4x+ (2/x2)     Thank you!!

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Q: Help me

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Q: Find x

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Q: Find the general solution of the differential equation. Show all steps please.

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Q: investing: Lesser-Known Stocks The following question is based on the following information about th...

A: Algebra Question

Q: Q: Show that the function f:R →R given by f(x) = ax +b, where a,b e R, a #0 is a bijection.

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Q: Find T3(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T:(z) = %3D Using ...

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Q: Which one of the following equations is the equation of the tangent plane to the surface xy + xz + y...

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.

A: Given: A window has the shape of a parabola above and a circular arc below To Find:

Q: Decide which of the two given functions is linear and find its equation. 6 10 15 f(x) 3 23 37 54 g(x...

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Q: X, Evaluate dx x + 1/

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Q: Find the orthogonla trajectories of the family of the curve r = csin0

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Q: The graph below shows the constant function y = v(t). -8 -7 -6 -2 -4 -5 -6 -7 A new function, a, is ...

A: solution is given below..

Q: Q: Show that the functi on f:R →R given by f(x) = ax +b, where a.be R, a +0 is a bi jection.

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Q: (b) Find the power series solutions of the given differential equation about the ordinary point r-0 ...

A: We have been given the differential equation about the ordinary point x = 0  (x + 2)y'' +xy - y = 0 ...

Q: Q : Show that the function f:R →R given by f(x) = ax +b, where abe R, a = 0 is a bijection.

A: If function is one one and onto, it is a bijection. 

Q: Determine whether the series converges absolutely or conditionally, or diverges. (-1)" n + 2 n = 0 c...

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Q: The function f is an antiderivative of the function g defined by g(x) = 3-the square root of (x squr...

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Q: Does the graph of a circle constitute a function? Please describe using the definition of the vertic...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: solve and show complete solution 7. An LRT train 6 meters above the ground crosses a street at a spe...

A: given,       An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the i...

Q: use u-substitution for #7 Thank you!!

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Q: A fair 6 sided die is rolled 5 times. What is the probability that the die will show either a one or...

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Q: Find f fy. - f(x.y.z) = x - Vy² + 22? + 2z² = (Type an exact answer using

A: Here we have to find fx , fy and fz  of 

Q: How long will it take an investment of $4000 to double if the investment earns interest at the rate ...

A: We will find how long will it take an investment to double as following. 

Q: 1 2 3 4 (go f)'(5) f(x) g(x) f'(x) 1 3 4 5 2 1 3 -1 4 -2 | 1 3 1 24

A: In this question we will use basic of calculus i.e concept of composite function and differentiation...

Q: tion 20 +4)/2 = > aj,æ“ for || then 16a3 2 k-0

A: We have to find the value of the given condition 

Q: Evaluate the integral: V100- 2 dx V 100 – (10000 - 200x2 + a4) 100( 100 – 22 )V 100- 2 X+ C

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Q: A person standing close to the edge on top of a 64-foot building throws a Function h(t) = – 16t2 + 4...

A: Here we have,   

Q: We are interested in the first few Taylor Polynomials for the function f(x) 8e + 7e %3D centered at ...

A: First I have calculated the , f(0),f'(0) and  f"(0) , then using Taylor first and second degree poly...

Q: If the terminal side of angle 0 goes through the point (10 on the 10 unit circle, then what is cos(0...

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Q: Help me please

A: We have to find the critical point of given function. 

Q: 16.  please look at photo for problem.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Kindly Solve the following. Show neat, organized and complete solution. Simplify and enclose your fi...

A: By using the chain rule, we get the derivative of the function as,

Q: verify the identity

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Q: The math problem is in the image.

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Q: Draw the following graph on the interval – 225° < x < 135°: y = – 2 sin(x) – 2.5 -

A: Making a table of values, we get x sin(x) y=-2sin(x)-2.5 -225° 1/√2 -√2-2.5 -180...

Q: e temperature at a point (x, y) is /(X, y), measured in degrees Celsius. A bug crawls so that its po...

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Q: Need Help? PREVIOUS ANSWERS DETAILS nd the amount accumulated FV in the given annuity account. HINT ...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.