Reindex the series to start at k = 0 y = E, (k+ 1)æ*+3 = E£o

Q: sin 2x cos 2X I+ 3 cos4X

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Q: The graph at right shows a function g(x) a) Where is the function decreasing? b) Where are the local…

A: Given query is to find intererval where function is decreasing and local minimum location.

Q: Approximate the point of intersection of the graphs of f and g. (Round your answers to three decimal…

A: follow the procedure given below.

Q: Display all powers of 2 that are less than 20000. Display the list in a properly formatted manner,…

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Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v…

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Q: Two angles are supplementary. If 2 times the measure of one angle is 6 times the measure of  the…

A: This question is based on that supplementary angles sum equals 180 degree.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Use spherical coordinates to show that the volume of a sphere of radius R is V = *nR³.

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Q: Integrate the following differential and determine the constant of integration: dy/dx = 8/x which…

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Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

Q: Are the lines = 7+12t, y = 12–10r, z = 1+2t, and.x = 6+13t, y = 8+2t, z = 10–5t parallel? O No O Yes

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Q: Determine whether the series converges using the limit comparison test. 4k2 – 2k +9 Σ 20k7 + k – 20…

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Q: 17. Obtain the family of solutions and particular solution of the homogeneous equation, y?dx + (x2 +…

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Q: Use the Mean Value Theorem to show that f(r) = 2x sinh(x – 1) + 2" – x %3D has a critical number…

A: Given: We can see that the function is continuous in [0, 1] and differentiable in (0, 1). So, the…

Q: 16. Determine if 4x – 3xy + yʻ is homogeneous or not. If it is homogeneous, state the degree of the…

A: Given : f(x,y)=4x2-3xy+y2   To Check : f(x,y) is homogenous or not and it's degree, if it is…

Q: Find the sum of the series. 2n n-D0 03 01 06

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Find the vector component of v = 2i – j + 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: 2. Given that arcsec 2) + (x² – y²)² = 2. (a) Find dy using implicit differentiation. dx dy usino…

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Q: r = 3 cos 0

A: The given curve,  r=3 cosθ

Q: Solve the following and show the complete solution 1. Find the equation of the plane through (-3, 8,…

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Q: Find the derivative of the function described. (Rx5) 1. у %3D (2х + 3) (5х — 4) y = | Зх-1 2. f (x)…

A: Let's find.

Q: Evaluate the integral using Integration by Parts. (Use symbolic notation and fractions where…

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Q: y+3x-6z=8

A: answer is in next step

Q: 4. dx + (x – y + 2)?dy = 0

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: Consicler the functiun belou 2. fexy)=x°ewy %3D a) evaluate f(8,0) b) fincd the clonain of F ) Find…

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Q: Find the location at t = 3 of a particle whose path satisfies - (1- dr 7 14t 2t – 4 dt (t + 1)² r(0)…

A: To find the location at t=3 of a particular whose path satisfies.

Q: During the summer months Terry makes and sells necklaces on the beach. Last summer she sold the…

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Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 5+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=4-t, y=2t, z=5+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: 5 In(3x) dx 5ln (3x) +C 12. 4

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Q: A Use the method of Lagrange multipliers in Problems 7-10. I SL.

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Q: Let a = ci + jand b = 9i + 54j. Find c so that a and b are orthogonal. c = i

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Solution is here

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Compute the following limit. 1-e3 3x as x approaches 0

A: To find,  limx→01-e3x3x

Q: x cos x² 2. X C0 dx -siny

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Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: We need to write a non-recursive formula.

Q: 5. x3 + 2x – 6 dx x4 + 2x2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

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Q: Let a = ci + jand b = 8i + 40j. Find c so that a and b are orthogonal. c = i

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Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

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Q: Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three…

A: Let x, y and z be the three positive number so,  sum of number   x+y+z=18

Q: Determine the curl of the vector fields in Practice Exercise 3.6 and evaluate them at the specified…

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Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

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Q: owing graphs IS fit is continuous/differentiable, and (x) if it is not continuous/differentiable.…

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Q: Evaluate the integral using Integration by Parts. 8x sin(x) dx (Use symbolic notation and fractions…

A: Please see the answer below.

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum if the…

A: The given series, 91.2+92.3+93.4+......+9nn+1+.......

Q: Compute the length of the curve r(t) = (-6t,4t + 4, –5t – 3) over the interval 0 < t < 7. (Use…

A: The curve rt=-6t, 4t+4,-5t-3 over the interval 0≤t≤7

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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