Find the length of the curve R(t) = (2t, cos 2t, sin 2t), 0 ≤ t ≤ π

Q: Solve the following system using Gause- Seidal iteration method for n=5 and initial values XO 4x1 +…

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Q: 7 P ( 7 2 + b ) (F - ₂7 ) {

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: Differentiate Z with respect to C Z=12C²-13C-2

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. -4t -4 tan²(x) dx

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Q: Use the Newton-Raphson method to find the single real root (n=5) of the function: f(x) = ln(x) - 2…

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Q: Mensuration of 3D shapes: Shape Cube Cuboid Sphere Volume (Cubic units) a³ lxbxh (4/3) πt r³ Curved…

A: The given shapes are cube, cuboid, and sphere we have to give an example for each shape.

Q: (x)uis₂x = h-fix (p)

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Q: Evaluate the integrals (2) (3) (4) sin 2x cos 5x dx ✓ cos 2x cos 3x dx [ sin³x cos²x dx

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Q: R Hard PRACTICE MATH PROBLEMS #1 1. How many gallons are in 12 cubic feet? 12+7.48= 89.76 2. How…

A: we will find the  required.

Q: 3. For the function f whose graph is given, state the following. (a) lim f(x) (b) lim f(x) (c) lim…

A: Please note that as per our guidelines, I can answer only three sub-parts. In this question, we need…

Q: Let a=(2,5,4) u=(1,-1,1) and v=(1,1,1) Explicitly calculate u•(uXv) and v•(uXv)

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Q: a grocery store sells a bag of 4 oranges for $1.72 if christopher spent $1.29 on oranges how many…

A: Given Price of 4 oranges = $1.72 Christopher spent $1.29

Q: Tim 04X 9-X X an

A: Given function, limx→09-x-3x

Q: Find the distance of the point (4,2,−5)(4,2,−5) from the line r(t)=⟨1+3t,1+3t,5−3t⟩.

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Q: g(x) is a transformation of f(x) = √√. The graph of g(x) is shown below. +10+ 9 81 7 6 5 4 3 2 -1 7…

A: Given graph:-

Q: B)Z = 1 + e, find |Z|.

A: Let's find.

Q: B)Evaluate the integrals: i) f/2 (cosx)³ dydx, ii) f/²7/2 (siny)³ sinx dz dx dy . 0

A: cos3x=3cosx+cos3x4sin3x=3sinx-sin3x4

Q: Find the equation of the plane through the point P=(3,5,5)P=(3,5,5) and parallel to the plane…

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Q: 9 (y) -1.0% DNE [y²+5 ify<-2 1-3y if y2-2V lim g (y) lim 9 (y) (a) lim g (y) 1-3y if y2-2. 17 (b)…

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Q: If f(w)=√4w-3, find lim h-0 f(w+h)-f(w) h [(w)].

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Q: Which of the following represents a combination of vectors to form ED as a resultant? C Ra Bran B…

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Q: 5y2+x3y = cx

A: Here we have to eliminate the arbitrary constant.

Q: Mr. Yang's ISP (Internet Service Provider) charges are $10 a month for 8 hours of service plus $0.50…

A: Mr. Yang's ISP (Internet Service Provider) charges are $10 a month for 8 hours of service plus $0.50…

Q: 1/m 12x-141 *ㅋㅋ X-7

A: We have to check the limit of the given function at 7- and 7+

Q: Form a polynomial whose zeros and degree are given. Zeros: 2, 2, 6; degree: 3 Type a polynomial with…

A: Given query is to find the polynomial.

Q: ational Numbers Leal Numbers tegers ive at least three (3) example for each set of number. 2

A: we will do as per  the requirments of question.

Q: Given r(t) = 5t8i - 9 sin (t)j + e³tk and s(t) = −4ti +8tj+4tk, find [2t² r(t) + 2t¹s(t)]. dt Sorry,…

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Q: EXERCISES Determine the equations of the vertical and horizontal asymptotes, if any, of each…

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Q: Consider the line L(t)=⟨4−t,−4−2t,−5−3t⟩L(t)=⟨4−t,−4−2t,−5−3t⟩. Then:     L is           to the…

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Q: 2. On your own, make a diagram that shows the relationship of the number system which are as…

A: A natural number is a counting number. It starts from 1 onwards. They are located at the right side…

Q: Consider the set L of letters in the alphabet. Consider the rule defined on L that takes a letter to…

A: we will find the required.

Q: differentiate y = 4x/(7 - cotx)

A: To differentiate the following function.y=4x7-cot x

Q: Given the table below: -4 -2 -1 1 9 7 5 g(x) 10 9 3 4 I Evaluate ()-[ (4) 9 -3 Check Answer 0 2 6 2…

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Q: in the function f(n)= nf(n-1)+2,

A: We have to find the value of f(12) according to given information.

Q: 49. Find an equation of the line tangent to the graph of y = √x/(x + 1) at (a) x = 1; (b) x = 1.

A: We need to find equation of tangent.

Q: N 1. Solve each of the following initial value problems and plot he solutions for several values of…

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Q: Find an equation of the tangent line to the parabola y = x² - 4x + 7 at the point (1, 4). SOLUTION…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) t²-t-20 lim t-5 t-5 X

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Q: y √x-1 x² +1

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Q: 3. Verify if y=2x-3 is a solution to y'-y-3 = -2x+5.

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Q: Evaluate this

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Q: 5. Graph the parabola y -2x² + 12x 11. Indicate the vertex and the intercepts. ==

A: We can solve it by general form of parabola as follows

Q: Use the graph of the function f given below to answer the questions. List the values of x at which f…

A: Given problem:-

Q: A company wholesales shampoo in a particular city. Their marketing research department established…

A: Given Supply equation ps=x300+12 Demand equation pd=9900x

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: Please see the below picture for detailed solution.

Q: (e) xy' + y = 4x+1, y(1) = 8

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Q: 41. lim [In(1+x¹) - In(1 + x)] 110

A: We need to find limit.

Q: 6. Let a be a number written (in base 10) as ao 10⁰+ a₁ 10¹ + a₂. 10²+...+an. 10" where 0 ≤a < 10.…

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

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