Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i + sin( 2 )s 3T Ji, v = coS 4 3Tt

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Consider the following function and express the relationship between a small change in x and the…

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Q: an-(2x)dx (Use 2 decimal digit) Let x = 0.37 and y = 1.03. Determine the value of C when you…

A: We will find c.

Q: (2² + y?) da + aydy = 0 %3D O Option 1 O Option 2 1. Option 3 Option 4

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Q: representing all ellipses having its centers at the origin and transverse axis x. a " + (w/)*] + yw…

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Q: (a) Find the dimensions of a box with a square base with volume 27 and the minimal surface area.…

A: This is an optimisation problem, we use derivatives to find critical points and use second…

Q: The area of a sector of the circle with an arc measure of 45° and with a radius of 4 is A 16л 45° 4…

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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: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

Q: logarithm

A: We will expand the logarithms.

Q: You want to choose a committee of 5 people from 7 men and 8 women. In how many ways can this be…

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Q: (За* + Зт?) da — ватат — 0 - a-'C = a² – m? 2 aC = a² – m? 2 Option 1 Option 2 С — а +т O Option 3 O…

A: Given problem:- (3a2+3m2) da  -6am dm=0 To find:- General solution of given differential equation

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k %3D v = 7i +j- k O…

A: Given u = -7i + 48j - k v = 7i + j - k

Q: Find the intervals in which the function f(x)=2x* +8x -5 is concave up/concave down. Also, find the…

A: Given a function of x.

Q: • Sl-+2u* + uP)du No appropriate Match Question 6 o S(-uP-2u7 - P)au Match the integral expression…

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Q: V9-4x2 The integral of the given function dx is x2 -19-4x2 а. 2x ArcsinA + C -V9-4x b. 2x - 2Arcsin…

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Q: 32) Use the scalar triple product to determine whether the points A(1, 3, 2),  B(3, -1, 6),  C(5, 2,…

A: This question is related to Vectors, we will solve it using given information.

Q: Find the higher order derivative a. y = 49x49 ; find d50y (50th de dx50

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Q: Find the general solution of the differential equation y" + (wo)°y = cos(wt), w² + (wo)". NOTE: Use…

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Q: Find the average rate of change of f(x) = x² – 1 on the interval[-1,0.4]. Give your answer in…

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Q: 19. Which of the following illustrative equations will give a slope 10 of the tangent line to its…

A: A)y=2x2-2x at (2,3)Differentiate…

Q: 3-4 3. - find A-! L i As

A: Given query is to find the inverse matrix.

Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate of…

A: I am attaching image so that you understand each and every step.

Q: A 13 ft ladder is leaning against a house. The ladder slides down the wall at a rate of 3ft/min. a)…

A: We have to use differentiation to solve the problem

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find the x component and y component of each vector and then add them.

Q: y' + y" = siny O 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree O None of the…

A: Given problem :- y''+y''''=siny  To find:-  order and degree of given differential equation

Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 [5 1 2 -2 -4 A = 3 -6 -9…

A: To perform the indicated operation for the given matrices.

Q: The value of investments in the stock market change daily.  Suppose you buy a stock for $4,437.  It…

A: percentage

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A: Topic = Integration

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude ||v|| = 8…

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Q: discussed under Bernoulli Equations dy 2y dr

A: dydx=2yx-x2y2dydx-2yx=-x2y2the above eq is of the form dydx+P(x)y= Q(x) ynP(x)=-2x, Q(x)=-x2 , n=2IF…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Astivity 3 tird the dentve of 2メー3 うメー2 ensing the definitiom

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Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

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Q: Evaluate: Jx?cos(2x)dx (A None of the above 2x sin(2x) – 2xcos(2x) + sin(2x) (B +C 4 2x?sin(2x) +…

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Q: Let C be the triangle with vertices at (0,0), (1,0), and (1,1) oriented counterclockwise. The vector…

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Q: The following curves bounds a certain area: = 4x – x2 - = 4 and x = -2 %3D etermine that area.

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Q: Let F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) = (x + e*)*, Determine the…

A: The given function,  Gx=x+ex2

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: Hee, the given function is: f(x)=3ex f'(x)=3ex

Q: 5. What limit law best applies to the problem lim x = C. Limit of a product D. Limit of a quotient…

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Q: locate the centroid of the plane area bounded by y=x^2 and y=x

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Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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Q: The relative error in an approximate solution is 0.004%. The number of significant digits in the…

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Q: . Suppose that f(r) is a function given by for 0<r<7, f(z) = for -n <I<0.

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Q: Evaluate V (6x + vy) ds where C is given in the accompanying figure. (1,1) 1- y=x y=x2 (0,0 ds =…

A: We need to evaluate integral.

Q: Q/2Salve By G. E the system 2x-9122=6

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Q: Consider the helical segment of the following figure defined by the parametric equations x =…

A: We have to find value of line integral.

Q: -. n the base b of a triangle is increasing at a rate of 3 inches per minute while its height h is…

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Q: Fór the functión f whósé graph is given, state the following. (a) lim f(x) X - 00 1 (b) lim f(x) X →…

A: consider the figure given below :

Q: Thankyouuu

A: We will find the differential equation of order 2.