Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||v|| = 6, 0 = 0° %3D V =

Q: 4 %3D ») f(E) =

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Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: Given the function -5 - 7 Y(s) (S + 1)(s - 2) 1. Use Partial Fractions to break apart the large frac...

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Q: A scientist discovered a new material that expands at an extremely fast rate. After studying this ma...

A: Given problem:- A scientist discovered a new material that expands at an extremely fast rate. After ...

Q: Give The 15T four non zero Term of Mhe Sentes aboufx= %3D

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Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Solve: 5|x – 1| + 4 > 14 The answer has form: O A B Where A = %3D and B = %3D

A: If x>a then x<-a or x>a .

Q: Given vector u = (-6,1) and v = (-5, 6) , determine the value of 2v – 2u. Click and drag the dotted ...

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Q: Use induction to prove: for any integer n 2 0, 2. 3 = 3"+1 - 1. %3D j=0 Base case 2.3 = j= n = , 3n+...

A: for any integer n≥0,∑j=0n2. 3j=3n+1-1

Q: 2. Find the general solution of the differential equation: dy dy -5 + 6y = e* dx? dx

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: 2. Consider the power series p(x) = E *+3)" n=0 (n+1)3n+1* 2.1. What is the center? 2.2. What is p(-...

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Q: Each graph represents F'cx) n (not the original function -) x-coord inates of maximums -) x-coordina...

A: solution is given below..

Q: Determine whether the planes are parallel, orthogonal, or neither. Зх - 15у - 32%3D7 4x - 20y – 4z =...

A: Answer is given below.

Q: 1. x3 + y3 – 2xy = 0, find y'.

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Q: (d) DNE (e) 2. Calculate each of the following i: (a)/ sec2 (x) dx (b) 3 (d) In(x) dr (e) 0. 1. dx 4...

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave...

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Q: name one real world example of when you would use a quadratic functions and form an equation name o...

A: To name one real world example when we used quadratic functions and a polynomial.

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, a...

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Q: 8. When is the function concave up or concave down? Where are the inflec- tion points? y= a e Ct

A: The function is concave up in (b, d) U (f, g)

Q: -2 +5

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Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A:   Solve for the derivative of the function using chain rule. 9. f(x)= esinx  

Q: Given the following differential equation and its initial conditions y" - 10 y' + 9y - St with y(0) ...

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Q: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: Let f(x, y) = x² + xsin(y). %3D

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 4 y + 7 = z +...

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Q: Given vector V = (2, –2) , find 3v graphically by stretching the vector by its tip and then writing ...

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Q: ~3 1 (c) dx (x 1) 3. -

A: Given query is to find the integral.

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinde...

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Q: Let R be the region bounded by the functions f(x) = -4x² and g(x) = -x – 5 as shown in the diagram b...

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Q: 3. Find the area of the region that lies inside both curves: r = sin 0,r = cos 0 0.8 0.6 0.4 0.2 -0....

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Q: 1. y = 1+3x-x2

A: Given: y=1+3x-x2 Recall: ddx(k)=0ddx(xn)=nxn-1

Q: Showthat dz du

A: I am attaching image so that you understand each and every step.

Q: 4. D, (x-2)(2x +3) 5. D, (e")

A: We know that, Dx(ex) =ex Dx(xn) =nxn-1

Q: Let R be the region bounded by the functions f (x) = 2: 4 and g(x) = 4x as shown in the diagram belo...

A: Given, y= 4x y= 2x²-4 Equating the above two equation we have, 2x²-4=4x 2x²-4x-4=0 x²-2x-2=0 x= (-b+...

Q: 5. Solve 5-X Express your solution in erval no solution on a real number line.

A: We we will solve the inequality. 

Q: Give The 15T four nonzero Ternm oF Me Serbes abour ) He) =

A: Given:fx=excos3x

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: Given vectors u = (-4, 7) and v (3, –2), find the difference v u and - epresent the difference graph...

A: Vector

Q: Given the function Y(s) S - 5 Use the Laplace Transform table to convert this function into f(t).

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Q: If g' (x) = f(x) with g(-5) = a, g(-–3) = b, g(-2) = c, and 1 f 3 g(6) = d. , express the value of d...

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Q: For 0, determine two positive coterminal angles and two negative coterminal angles. 0 = 150°

A: Given, theta= 150° Coterminal angles are the angles that have the same initial side and share the te...

Q: ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

A: Given problem:- Find a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3,...

Q: 25. Find the volume of the solid that is enclosed by the cone z = Vx² + y? and the sphere 22 + y? + ...

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Q: draw a tree diagra w : fLx, y,z,N n and write chain rule! ニ y = f lu,v) , Z=f lu,V), N= f (u,V).

A: Here we will draw tree diagram and write chain rule,

Q: The length of an arc of a circle with a central angle of 120° is 6r cm Find the radius of the circle...

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Q: find A-1 using Gaussian elimination and check the resul 3 -2 [1 1) A = |1 2 4. 27 1 1 Ans: A-1 = -2 ...

A: Explanation of the answer is as follows