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Calculus

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Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

A:

Q: Match the story with the correct figure (see attachment). The figures are labeled (a), (b), (c), and...

A: The snowfall is gentle. So curve b and c are incorrect as there is stoppage of snowfall in between.

Q: Please solve the below equation

A:

Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [√3 (cos 5π/18 + i sin 5π/1...

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Q: What is a position vector? How is a position vector represented using i and j?

A: The position vector is a vector whose initial point is origin and and the terminal point is any poin...

Q: Give the slope and y-intercept of the line whose equation is given. Then graph the linear function :...

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Q: a) what is the order of the differential equation is? b) what is it's degree?

A: Order of the differential equation is defined as the highest order derivative present in the differe...

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [4(cos 15° + i sin 15°)]3. ...

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Q: Where is f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10|| From function, The derivative of function f(x) for x≥10 i...

Q: Find the centroid of a thin, flat plate covering the region enclosed by the parabola y2 = x and the ...

A: Given Data The equation of parabola is y²=x. The equation of the line is x=2y. Consider the densit...

Q: Find the average value of the function graphed in the accompany- ing figure. 1 2

A: The function of the above graph can be represented as: Thus, the function is x when the value is in...

Q: Find the vector v of magnitude 8 in the direction ⟨6, −3, 2⟩.

A: Given: The magnitude of vector v is Let the vector u be:

Q: For Exercises 17 and 18, find the acute angle between the given lines by using vectors parallel to t...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Is the function g(x) = x 2 one-to-one?

A: We have given function ; g(x) = x 2 We shall check it is one-to-one or not by horizontal line test...

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (0, ...

A: Now center of the ellipse is the midpoint of the line segment joining the vertices. That is, Now le...

Q: Evaluate the integrals ∫sec6 x dx

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Q: Find the radius of convergence for a given power series. (2" +1)n²

A: Given

Q: What position vector is equal to the vector from (3, 5, -2) to (0, -6, 3)?

A: We have given two vectors; (3, 5, -2) , (0, -6, 3)

Q: DATE: PAGE: Pag , fend general clairauts torm plutfon luhlen ot p2cx?_ q?)=2pxy+y-b'=

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Q: Suggest a trigonometric substitution for each integral, and then write the new integral that results...

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Q: Use a power series to approximate the area of the region with an error of less than 0.0001. Use a gr...

A: Use power series to approximate the area of the region with an error of less than 0.0001. Power ser...

Q: Plot the complex number -1 - i. Then write the complex number in polar form. You may express the arg...

A: Given, Now the graph is,

Q: find the curl of each vector field F. F = yezi + zexj - xeyk

A: Given the vector field: Now, The x,y, and z component of the given vector field :

Q: Calculus Question

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Q: What is the average of the two solutions of the arbitrary quadratic equation ax^2 +bx + c = 0? Discu...

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Q: Use Figure to show that u = v.

A: We need to show that u=v

Q: The equation for f is given by the simplified expression that results after performing the indicated...

A: We need to find the function and solve it to draw the graph.

Q: Fill in the blanks. The derivative of ƒ(g(x)) equals ƒ′ evaluatedat multiplied by g′ evaluated at .

A: To calculate the derivative of ƒ(g(x)) :

Q: Find the radius of convergence for a given power series. (a) (2" + 1)n² (b) 32n (2n – 1)! (c) Σ 2n+1...

A: We must find the radius of convergence for given power series.

Q: Plot the complex number z = -3 + 4i and find its absolute value.

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Q: Evaluate the function at the given value(s) of the independent variable. Simplify the results. . f(x...

A: Given function:

Q: Set up, but do not evaluate, an integral for the volumeof the solid obtained by rotating the region ...

A: Given Data The first equation is y=√x. The second equation is y=x². The line is y=2. Evaluate the ...

Q: Factor and simplify : (x2 + 4)3/2+ (x2 + 4)7/2

A: Given, The expression is (x2 + 4)3/2+ (x2 + 4)7/2 .

Q: The population of a community is known to increase at a rate proportional to the number of people pr...

A:

Q: Use the FOIL Method to Multiply: (3x + 4)(5x - 3).

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Q: Find a Maclaurin series for f(x).

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Q: Integration by parts Evaluate the following integrals using integration by parts. ∫x ln 10x dx

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Q: Write the complex number 5(cos π/2 + i sin π/2) in rectangular form. If necessary, round to the near...

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Q: Find dwdt using the appropriate Chain Rule. Evaluate dwdt at the given value of t.

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Q: Recall that given any vector v,v, we can calculate its length, |v|.|v|. Also, we say that two vector...

A: For a given vector v, its length is given by

Q: Write an equivalent first-order differential equationand initial condition for y

A: Given Data The equation is y=2-ꭍx0 (1+y(t)) sin t dt. Differentiate the equation y=2-ꭍx0 (1+y(t)) ...

Q: Which differential equation is variable separable? xy dx + (x² + 1) dy=0 B (x² + y) dx – 3xy dy=0 C ...

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new quest...

Q: Find d2y/dx2 if 2x3-3y2=8

A:

Q: Connected to the first picture

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Q: Find the limits

A: The given function is

Q: limn+5 - Jn- 2 20. Find the limit: 2

A: To determine: The limit

Q: Evaluate the integral.

A: To determine: The integral of given function.

Q: 11. Write the equation of the straight line passing through the point M(2,-1) and parallel to the li...

A: Click to see the answer

Q: Find the areas of the shaded regions

A: The area of the shaded region of the left is:

Transcribed Image Text

Questión 4 Which of the following is a homogeneous function? A 3x2 + ху+ уз x² + y? В x3 + y3 sin(x + y) D Question 5 What is the degree of the homogeneous function that you have chosen in Question 4?