Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v orthogonal to b. Enter the exact answers. The vector component of v along b is ). The vector component of v orthogonal to b is ).

Q: What is the directional derivative of the function at the point (1, 0) in the direction of the point...

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Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

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Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: Use the guidelines of this section to sketch the curve. х — 5 f(x) x2

A: f(x)=x-5x2Plotting on graph on corrdinate axes

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: y (4x + y) dx – 2 (x² - y) dy 22 + x + 2 ln y = C ans.

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Q: f (x, y) ety + 4 cos Y. (1) Find the rate of change of this function at (3, 0) in the direction of i...

A: Find your answer below 

Q: Evaluate the area under the parametric curve given by x = 2, y = 4t – 1² and above the x-axis on the...

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Q: 3. Graph the system of inequalities. y 2x-3 y>x+1

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Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

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

Q: The limacon r = 2+ cos 0

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

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Q: Evaluate each of the following: 1 1. ſ cot 2v dv 6. S tanzã sec*vã 2. S tan* dr 2 csc*ny 3. S(tan 5w...

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Q: Find the indefinite integral. (Remember the constant of integration.) dx xº - 8

A: Given query is to find the value of the integral.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We will find the unit vector which satisfied the given condition in the following step.

Q: How can rearranging the order of terms in an infinite series be different for an absolutely converge...

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Q: wherey = x + C is a solution to this DE. What is the particular solution?

A: Let's find. 

Q: Give The Taylor series abour fa) = ex mring Series-> for the followingevaluaro ns, and Firor Five te...

A: Put x=-5 and x=1/2

Q: e are given the logarithmic function fx) = In(/x + 6). We note that this function is of the form In(...

A: Differentiation 

Q: Write the first five terms of the geometric sequence. a1 = 25, r= -

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Q: Q3: Solve the following first order differential equations Use any method: 3. y cos(x)dx + 3sin(x)dy...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 16. Find the area of the shaded region. Leave your answer in terms of pi. 50'

A: The solution is given in the next step.

Q: Q3: Solve the following first order differential equations Use any method: dy 1-2у-4х dx 1+y+2x

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Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: Consider the points A(3, –3, 3), B(4, –5,0), C(-3, -4,0), and D(6, 2, –6). | (a) Find the volume of ...

A: AB→ =B-A      =(4, -5, 0)-(3, -3, 3)AB→ =(1, -2, -3)AC→ =C-A      =(-3, -4, 0)-(3, -3, 3)AC→ =(-6, -...

Q: Which of the following is a solution of the differential equation xy' + y = 4x? y = 2x - 7x-1 Oy = 1...

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Q: = -2 sin x where y (4) = 7 dx = JT

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Q: 5. What is the slope of the tangent line to the curvex²e-2x - y = 0 at the point (-1, e2²)?a. a. 4 b...

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Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x/9 – x (a) Find the interv...

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Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: The objective is to write the required differential equation.

Q: c notation and fractions where needed.)

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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Q: n+2 00 Σ n=0 V2+n 15. 2n 17. 8

A: As per the guidelines  we can answer only one question. If you want to get answer of your other ques...

Q: 2. Find the general solution of the differential equation: dy ip 5 + 6y = e ,3x - dx? d.x

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Q: s3 + 3s2 – 12s + 4 e) lim s-2 s3 - 4s x- V3x + 4 f) lim x4 4 - x x² + 4 – 2 g) lim

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Q: Use the triangle to find each half angle. 25 24 () - tan () - sin cos 24 24 :: :: :: 1 :: 25 25 7 3/...

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Q: Obtain the general solution of the following differential equations.

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-4y)^9 ax^4y^5

A: The given binomial,     3x-4y9

Q: - Using Greens date $(x2 + y)dx bounding of the 0<x<1 and x' sysx.

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

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Q: (a) For what values of x is the following series convergent? 00 enx n=0 (b) Find the value of x that...

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Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Let's find. 

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Note: as per our guidelines we have to solve 1st question. So please repost other questiin . sorry f...

Q: Question 2 (a) The maximum carrying capacity of a park is 100 animals. Currently, there are 10 anima...

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Q: Find the requested partial derivative. dz 3 if z° = z+ xy - 1 and y = x+ y- 1 dy 3

A: We have to find partial derivative 

Q: 1. Write an equation of a rational function that satisfies ALL of the given the given conditions des...

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Q: y = sin x ,x = 0, y = 1; about y = 1. %3D

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Q: Integral of 2xln(1+x)

A: We will solve the integral.