The determinant for the following matrix is [511] L4 2 O C 10 2

Q: Which of the following vectors is in the same direction as the vector a = 5i - 4j + 3k? Select one:…

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Q: Find a result by using variable separation for ý=secy b- xý = x + y

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 20) If 8 is an angle with terminal side in 4th quadrant such thatv tan 9 = a) O b) O c) O d) O then…

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy²dady where R is the region…

A: Let's solve given double integral.

Q: 9. using prime factorisation, find the HCF of (i) 2622, 1653 (ii) 1891, 1098 10.Check whether 12"…

A: We have to find out hcf

Q: e ra

A: topic:- application of derivatives

Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: f(x) = for x < for X D

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Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows

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A: Please refer to the image below

Q: Let a be a real number. Evaluate the following integral: y+1 So fix + y dxdy y-1

A: ∫0a∫y-1y+1 x+ydxdy this is given  we have to find double integration  here first we have to…

Q: Find the vector component of v=2i-j+3 kalong b = 6i+6j+7 k and the vector component of v orthogonal…

A: The vector compoent of v along b is:Projbv→=v→.b→b→ b→The vector component of v orthogonal to b…

Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

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Q: Given L1 and L2 who's parametric equations are: Given. I).Show that L1 and L2 intersect at a…

A: Concept: The calculation of the angle between two lines in a three-dimensional space is comparable…

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Find the area of the region bounded by y² = 8x and y = 2x. A. 1.22 sq. units B. 1.33 sq. units C.…

A: We have given two curve in above problem. We have to find area between them

Q: 1. Determine the dot product of the two vectors in the diagram.

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Q: a particle moves along a curve x = t^3+1, y=t^2, z=2t+5 , where t represents the time . its velocity…

A: Velocity is obtained by differentiating the position function

Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: Given the equation of the curve y = 0.1(1600-x²). Find the area bounded by the curve and the x-axis.…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: A 100 ft wire is attached at it's end to the tops of two 50 ft poles that are positioned 90ft…

A: Concept: Catenary curve: A flexible hanging chain or cable is shaped like a curve in mathematics…

Q: The alternating series En-1 (-1)" is diverge. n³ 2n³+3 True O False

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Q: (b) Show that y = 3e²x + e-2x - 3x is the unique solution of the initial value problem y" - 4y =…

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Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

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Q: 6. Show whether the series is convergent or divergent. Σ in! n=0

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Q: Moving to another question will save this response. Question 5 A bacterial culture triples in…

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Q: Minimizing surface area. Open Air Waste Management is designing a rectangular construction dumpster…

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Q: 7. Tammy is golfing. She wants to drive her ball from the tee to the hole that lies due east.…

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Q: Find the inflation rate from 2006 to 2007. Assume that all prices have risen at the same rate as the…

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Q: I. Solve for what is asked. Show complete solutions. -L²₁ (x²³ - 2x) d 1. Solve for a + bx² 3ax +…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

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Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

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Q: Given the geometric sequence: 24, Find an explicit formula for an, where the first term is a₁ = 24.…

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Q: Given u x 7 = (-1,4, -2), find ( − 3v) × (u + 5v).

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Q: A cell phone plan charges $48.25 per month plus $14.06 in taxes, plus $0.20 per minute for calls…

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Q: Let f(x) = xe ⁹x. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Explain…

A: To find out the values of x for which the slope of curve is 0.

Q: A box with a square base is to hold a volume of 200. The bottom and top are formed by folding in…

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Q: sinx13 cOSX on the interval [0, π] Average value=

A: According to the company rule we can answer the first question and rest can be reposted.

Q: y = N|XW --- - 6x 1 <x<1

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Q: Rewrite as an exponential equation_ log₂ 27=3

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Q: 5. Let h'(x) = -1 2 x-2 Solve for h if h is continuous and h(0) = 0. for 0<x< 1 for for 1 < x < 2.…

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Q: Choose the angle (in radian) between the follow u = and O 3.142 O 1.047 Од None of the others O…

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Q: For the function f(x) = cot³ (x): • Rewrite f (x) as a composite function f(x) = g(h(x)). • How did…

A: We have to solve given Questions.

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 2 6 2 O 8 O 4 O None of them O

A: The objective of the question is determine the length of the curve given in polar form.

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A: See the answer below

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Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

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Q: ANI (2k + 1)!

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Q: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

A: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)