Find the vector v with the given magnitude and the same d Magnitude Direction ||v|| = 31 u = (0, 5, 5) %3D V =

Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

Q: 2. Which of the following is an example of a partial differential equation? SHOW YOUR COMPLETE AND…

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Q: Find the particular antiderivative that satisfies the following conditions:…

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A: We can solve this as follows:

Q: y(x) =x' (2x – r²)

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Q: sin 2ax Given ſ cos? (ax)dx : Calculate the following definite integral f cos2 (0.5x)dx. 2 4а

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Q: Select the correct graph of y = sinx, y = 0.2, and y = - 0.2. Figure 1 Figure 2 651 Figure 3 Figure…

A: Here, the given curves are : y=sin x, y=0.2, y=-0.2

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

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Q: . Evaluate the limit of a function using the concept of Special Limits. et-1 t2-3t+5 + t2-1 1. lim t

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i…

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

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

Q: A table of values for f(x), g(x), f'(x), and g'(x) has been given. Ax) g(x) f'(x) | g'(x) 3 2 -5 1 2…

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Q: 1. S sin sin de

A: ∫sinx5sinx2dx Use the identitysinAsinB=12(cos(A-B)-cos(A+B))…

Q: Match the integral expression on the left to its suitable transformation on the right, after using…

A: Let's find.

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: Stan-1(2x)dx. (1 ( Use 2 decimal digit) Let x = 0.29 and y = 1.69. Determine the value of C when you…

A: Given the integral,        ∫tan-12x dx Note:     Multiple questions are given, we are answer only…

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A: an=7n2+n+24n2-3limn→∞an=limn→∞7n2+n+24n2-3           =∞∞(indeterminate form)…

Q: y" + 3y' = 0 y(0) = -2, y'(0) = 3

A: Given,            y''+3y'=0 , y0=-2 , y'0=3To find : The general solution of teh differential…

Q: 3. y = tan(sin 2x)

A: Please see the answer below.

Q: If x =0.71 and y = 0.67, then value of C in the xsin-(x) V1-x² antiderivative of F(x) = is

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: Give all solutions of the nonlinear system of equations, including those with nonreal complex…

A: 5x2+y2=1 --->1x2+2y2=11x2=11-2y2 --->2Substitute 2 in 1511-2y2+y2=155-10y2+y2=19y2=54y2=6y=±6

Q: Directions: Use the Rules of Differentiation to differentiate the following functions. Simplify, if…

A: Solution :1. gx=2x3+6x-2g'x=6x2+6g'x=6x2+1

Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

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Q: tan-1(2x)dx. (Use 2 decimal digit) Let x = 0.15 and y = 4.98. Determine the value of C when you…

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Q: If f(x, y) = 7xe5y + + 7y lnx, then is given by: 35e5y + 5/x 49e5y + 7/x 25e5y + 7/x 5లోbw + 7/a

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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: 1+ cos(t) 1 – sin(t) 2t) (n) y(t): (o) y(t) = In(5tª + 3t2 + 1) (p) y(t) = t° + T' + e™

A:

Q: -x2 + 5 2. y = cos 2x³

A: Given: y=-x2+5cos2x3

Q: /4 tan x dx /4

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Q: Determine the equation of the line that is tangent to y = elan"(2x) at x = 8

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Q: Water is running out of a conical funnel at the rate of 1 in3/sec. If the radius of the base of the…

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Q: In the accompanying figure, arc AB of circle 0 measures 70. If the measure of ZAOB is represented by…

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Q: (k) / te'dt (1) / e' sin(t) dt (i) e2t dt dt 1+ t2

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Q: the laplace transform of (t)= t^1/2 as F(s)=sqrt of pi/s, find Laplace transform of 7t^3/2.

A: L7t32=7Lt32Use Laplace Transform table:   Ltn-1/2=2n-1!!π2nsn+1/2=7·3π4s52=21π4s52

Q: Consider the following initial value problem. y" + 5y' + 6y = 0, y(0) = 3, y (0) = ß, where B> 0…

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Q: (x² + y²) dx + xydy = 0 1. 1 Option 4 Option 3 x2 O Option 1 Option 2

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Q: Determine the equation of the line that is tangent to y = elan (2x) at x = 8

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Q: The integral of the given function f- (9- dr Arcsin +C b.+ Arcsin + C c. -- Arcsin +c d. None of the…

A: To find the value of a given integral we use the substitution method

Q: (2x – y)dx + (4x + y – 6)dy = 0 - C = x + y – 1 C = x – y+1 Option 4 Option 3 C = x – y – 1 %|

A: We are asked to solve the equation and find the value of c

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: dx + (x-y + 2)°dy = 0 4.

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Q: What point on the line y = 7x + 10 is closest to the origin? ... Let D be the distance between the…

A: We will find the point and the objective function.

Q: Test the series for convergence or divergence. TT 17. 2 (-1)" sin - n=1 n

A:

Q: In how many ways can 3 boys and 2 girls sit in a row if a certain boy and girl must sit next to each…

A: Given that there are 3 boys and 2 girls to sit in a row. A certain boy and girl must sit next to…

Q: The shaded region shown below is bounded by the functions f (x) = -2x² + 0.75x + 4 and g(x) = 1.5x +…

A: The shaded region shown below is bounded by the functions fx=-2x2+0.75x+4, and gx=1.5x+2 and the…

Q: For numbers 13-14. Consider the graph of the function. 13. Which of the ff. points does the function…

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Q: dy dæ3 +7 - 7y = 0 dx O 1st order, 1st degree O 1st order, 3rd degree O 3rd order, 1st degree None…

A: To determine the order and degree of the following differential equation.xd3ydx3+7dydx-7y=0

Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: d 1) a = (a & b nonzero real numbers) dx

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Q: Find the general solution of the differential equation y" +2y + 5y = 5 sin(2t). NOTE: Use c, and cg…

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