Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is. Round your answers to four decimal places and enter the values in increasing order. Cj = i C2 = i

Q: Question 8 x2dx Evaluate | x2Vx2-4

A: Solution

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 16j as ...

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Q: Znt 2

A: For the series with an=(-1)n+1 bn  or an=(-1)n bnbn ≥0 for all k.Then if,1. limn→∞ bn =0 and,2.{bn} ...

Q: Question 10 Find the area bounded by y = sin²(x) and y = sin³(x) from 0 < x<. %3D

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Q: 2 cos @ dӨ . 1- sin 0

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Q: Evaluate: S,(3y6 + 8y* – 9y²)dy 4 -

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Q: The Range of y = V9- Vã /x is

A: The function y= √(a-x) is valid for all real     x ≤ a and range of this function is [0,√a]

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: Vx- 2 dx E+ 1)

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Q: dx Evaluate f x2V4+x?

A: Given:          ∫dxx24+x2   Perform trigonometric substitution:      substitute x=2tanu→u=arctanx2  ...

Q: 7. What is Vx3 – 7 i dx

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

Q: Evaluate f(cos* x – sin“ x)dx

A: To evaluate the given integral.

Q: find an equation for the plane that is tangent to z=4x^2+y^2 at the point (1,1,5)

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Q: S(cost x- sin x)dx

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Q: tind the deatNe of 2メー3 うメース the definition - ensing

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Q: solve using Integration by Parts Trigonometric Integrals Trigonometric Substitutions

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Q: Find the length of the arc of the curve 9y? = 4x³ from the origin to the point (3, 2V3). %3D

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Q: x* + ах — 2bx — 2аb — хз — 2ах* - 2bx? dx х4 + аx3 — 2bx3 - 2аbx?

A: I=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x2+ax-2bx-2ab)dxI=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x+a)(x-2b)dxPerf...

Q: ind the centroid of the volume formed by revolving about the x- axis the area bounded in the first q...

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Q: In considering normal and tangential components, the t axis is tangent to the curve at the point tha...

A: True. When a particle moves along a curved path, it is sometimes convenient to describe its motion u...

Q: Find f132 if f (y, z, x) = 3x?y³ + 6xz + yx³ %3D A. 9x?y + 23 B. 3x? + 6x C. 9a? y + 23 + 3yz2 D. 9x...

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Q: 2. S 2x5 Vx – 2 dx

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Q: V9-4x? - dx

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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: Solving as per the instruction given in the question we get.

Q: x² + ax + 2bx + 2ab + 2x² – ax² + 6bx² dx x* + ax² + 2bx² + 2abx²

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Q: /9-4х2 dx

A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

Q: "/2 cos* x dx /4 sinb x

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: Find the arc length function for the curve y = sin+(x) + V1- x² with starting point (0, 1). s(x) =

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Q: Solve for the derivative of the following and simplify if possible. f(w) = tan w sec w

A: We can find the derivative as below using the product rule

Q: What is the lim f(x) where f(x) = {x" + 10x+24, if x -3 %3D X-3 A. 0 В. 3 С. 12 D. DNE

A: Given: fx=x2+10x+24, x≤-3-x, x&gt;-3   As we know that; The limit limx→afx exists when the left-hand...

Q: ctivity 2. Answer the following problems. 1. A child is flying a kite at a height of 40 ft, that is,...

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Q: Rewrite exponents as factors using the Power Rule of Logarithms. Do not evaluate the logarithm. logs...

A: Note that, the power rule of Logarithms is: ln xn=n ln x

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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Q: 2. | 1

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Q: x²dx Evaluate x2Vx2 -4

A: We will evaluate the given integral ∫x2x2x2-4dx in the following step.

Q: onsider the points A(3, -3,3), B(4, –5, 1), C(-2, –-4, 1), and (6, 3, -5). -) Find the volume of the...

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Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y – 2)° = -4(x – 4) ...

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotat ab...

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Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x3, x =...

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Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4) ......

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Q: ( 2x + y -3z = 0 -2x + 2y + z = -7 3x - 4y-3z %3D %3D 7

A: We have to solve the system of linear equations.

Q: What is the answer? show your solution and simplify your final answer without the use of calculator

A: Solved assuming 'a' is positive. 

Q: 11. A gate in an irrigation canal is constructed in the form of a trapezoid 3 ft wide at the bottom,...

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Q: dx 4+ x² Use integration by parts. let u = x? dx 4+ x2 dv =

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Q: Find the volume of the solid generated by revolving the area bounded by x2 - 2kx - 2ky + k = 0 and 2...

A: Given curves are:  x2-2kx-2ky+k2=0 2x-2y+k=0 The area bounded by them is revolving about the line x=...

Q: 13. Find an equation of the curve that passes through the point (1, 1) and whose slope at any point ...

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Q: Vx – x The lim x→1 In x

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Q: Activity 6: Find the first and the second derivative of the following: 1. у 3D е cos x 2. y = sin³ (...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for y...