Find parametric equations of the line through (-3,0, 3) that is parallel to 5i– 7j+k.

Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

Q: Find the seventh term of the geometric sequence from the given information. Express the term as an…

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Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

Q: 4 (2+ VT)5 5. Calculate 0.

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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: (x³ +2x)" Find dy/dx, given the following: y = V2x-4 (2³ +2x)“ V(2r–4) 17 -36a²+10x-24 %3D (2x–4)²…

A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: Find the equation of the tangent line at the given value of x on the curve y° + xy° - 4 = x + 4y“;…

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Q: A 20-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: Question Find the critical points of the function 2 + 32x2. 5/2 f(x) =

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Q: You will create an estimate in order to assist your boss in gaining the job! The equation that is…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: rational functions solve suppose it costs C dollars ( in billions) to build X miles of a wall…

A: A)C(x)=0.425 x1954-xwhere, x is the miles of the wall.cost to build 1000 miles of…

Q: do number 3

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: 11. Eliminate the arbitrary constants of cx? + x + y² = 0.

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Q: Determine whether the statement is true or false. Justify your answer. 5x +5 Ax +B Cx +D For the…

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Q: Find an equation of the plane that is parallel to the plane x + 7y – 2z + 20 = 0 and contains the…

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Q: Find the solution with the given initial condition. r"(1) = (e', sin (1), cos (t)), r(0) = (1,0, 1),…

A: First we integrate r"(t) twice and then imposing given initial conditions we get our required…

Q: Find the vector component of v = (4, -1,7) along b = (1, 2, –2) and the vector component of v…

A: The vectors v=4,-1,7 and b=1,2,-2

Q: 18. Determine if the equations are exact or not then solve for the general solution. a. (e*(x²y² +…

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Q: n: - 4.r? with f'(x) = (x+ 2)2 r(r+8)(r – 2) (x + 2)3 8(7.r – 4) - f(r) = and f"(x) = %3D %3D %3D…

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Q: Solve the differential equation. dP 3 Р(4) — 20 dx Using sqrt{t} for Vt. P(t)= 6sqrt{t} +8 O P(t)=…

A: Given query is to solve the differential equation.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (3, –4)…

A: A detailed solution is given below

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

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Q: 12) (sin (4x - 9) dx

A: Given function : sin (4x -9) To find : Integral of the function.

Q: alculate V3 + 2i. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 2n.

A: Given query is to find the value of a and b.

Q: y'sec²xdx – (1– 2y'tanx)dy = 0

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Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…

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

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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: Determine where the local maxima and minima occur on the graph given. 12 10- 6- -12 -10 -8 -6 10 12…

A: Given query is to find the location of local minimum and maximum.

Q: 2. Differentiate the following function: y = Jo tan 2x Hs dt. 1+t3

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Q: xx+x dx

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Q: A driver accelerates when the car is traveling at a speed of 30 miles per hour (i.e., 44 feet per…

A: This question can be solved by applying the equation of motion.

Q: z = 3 - t , z = 6 – 4t parallel.

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Q: y" + 4y' + 6y = 1 + e¬2t , y(0) = 0, y'(0) = 1

A: We need to solve the differential equation.

Q: 7-x 17) dx

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Q: 10. Maximize f(x, y) = 25 – ² - y² subject to 2x + y = 10

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Q: 3. f(x) = (1+x + x² + x*)!5

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Q: 4. By using Taylor series, show that e* =cosx+i.sin x.

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: S(t)=300etAverage weekly sales =13-0∫03300etdt                                 =13300(e3-e0)…

Q: Complete the table. (Round your answers to four decimal places.) x-4 lim x-4 x2 - 5x + 4 3.9 3.99…

A: We have to estimate the given limit.

Q: A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms…

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Q: Find an equation of the plane through the origin that is parallel to the plane 4x – 3y + 5z + 10 =…

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Q: Evaluate the given Mtegral y ehanging f2x°ydĂ, uneve O is the top half of the disk the polar…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

A: Solve the following

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

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Q: log, r – log, (x + 10) = log, k. %3D 1 Find x if k 8

A: Log

Q: esin 2x [In (cos 2a)]? 2esin 2( cos 2x In (cos 2x) + 2 tan 2] 2esin 2a (cos 2x ln (cos 2x) + 2 tan…

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Q: sin t 11) dt (5 + cos t)6 A) (5 + cos 5 + C B) (5 + cos t)5 +C 1 7(5 + cos t)7 D) 5(5 + cos + C

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