he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2, 2) 19 2 19 2

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Sx² et* dx 1 e x (8x2 - 4x + 1) + C 16 (8x2 + 4x- 1) + C e4x 16 e4x 32 (8x2-4x + 1) + C e* (8x2 + 4x…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O…

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Q: Find the absolute extrema of the function. h(x) = ex2 − 9 on [−3, 3] absolute maximum value: ___ at…

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Q: (a) Plot the point with cylindrical coordinates (2, 27/3, 1) and find its rectangular coordinates.…

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Q: Which of the following is not equivalent to sin 0?

A: We are asked to find which is not equivalent to sinθ

Q: ................................................. Determine whether the lines intersect, and if so,…

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Q: Let the region R be the area enclosed by the function f (x) = e® + 2 and g(x) = 6x + 3. Write an…

A: Given: f(x) = ex +2,    g(x)=6x+3

Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For orthogonal trajectory we replace dy/dy by -dx/dy

Q: Which of the following is equivalent to cos (60° + 0) + sin(30° + 0)? cos 0 + v3 stn e cos e O…

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Q: Solve for the following application of first order differential equations. Show your solutions. 3. A…

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Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: How do you take the integral of sqrt(1+(e^-x)^2)?

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1,…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point. f(x, y) =…

Q: dx 11 J V64x2 - 121 8 11 18 – In-x+ 8 3 A +C 64x2 – 121 B In 1 V64x2 - 121 +C 11 In V64x2 - 121 +C…

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Q: 5. * 1 dx x (In x)3 A 1 + C 2 (In x)² C 1 + C 3 (In x)² 1 + C 2 (In x)2 1 + C 3 (Inx) - - O A O B O…

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Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: Ina swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement of water…

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Q: 4. Solve the second order differential equation given by 2 dt2 3z = 4c", z(0) = 0, dt dr(0) 0. dt

A: We will solve the second order differential equation.

Q: In trigonometric substitution where the integral involves va? + u², what must be the value of the…

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Q: Consider the function y = 4ex + 7. What is the exact value of C in the interval [0, 5] such that…

A: We need to find value of C.

Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

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Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

Q: A reservoir is shaped like a square prism. If the area of the base is 225 sq. em., how many liters…

A: Given: Area of the base = 225 cm2

Q: A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8…

A: Given

Q: Find the dot product of v and u and determine if the vectors are orthogonal. a. v = , u = The…

A: There is more than 1 question, as per the Q&A guidelines we are answering the 1st question. If…

Q: 2. Solve the given the equation using the integrating factors found by inspection. [2х + усos(ху)jdx…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A:

Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

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Q: Q3.3

A: We have to find the value of the given definite integral according to the given information

Q: Select

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Q: Exact ODE y'sin2nx-nycos 2rx

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Q: (4) Consider the function f(r) = r +2- 36r +4. (a) Find the local maximum and minimum values. (b)…

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate by using homogeneous D.E. 3 (3x? + y) dx – 2xydy = 0 03 In(x2 + y?) + 4 = C O a = C(9x³ +…

A: To evaluate by using homogeneous D.E.33x2+y2 dx-2xy dy=0

Q: S sin 2x sin 4x dx 7.

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 4 b = 2…

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Q: - Find the Taylor series expansion for the given function about x =g. :- Using the Taylor series…

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Q: (25-у? 5-х SŠ s *²+y²dzdxdy

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Q: Consider a right pyramid whose base is an equilateral triangle of side 4 cm each. If each slant edge…

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Q: Direction: Solve the following equations using separation of variables. 5. y*y' + y' + x2 + 1 = 0

A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: t3 sin 8t

A: Given problem:- t3 sin(8t)  To find:- Laplace Transformation of given function

Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: x dydx+2 y =4x2dydx+2x y =4xComparing with Bernouli's equation;y'+P(x) y = Q(x)P(x)=2x, Q(x)=4x

Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

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Q: We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we…

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

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Q: Evaluate the following IMPROPER INTEGRALS. It is optional to double check your answers/solution for…

A: To evaluate the given integral.

Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x° -…

A: Here we have to factorize the given cubic equation.