If v=−5i+j and w =4i+j, find |v + w|.

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Q: If r(2) = sin(z² – 10z + 16), find r' (z) =

A: Since, we have been given that r(z)= sin(z2-10z+16)Our Aim is to find r'(z)=?

Q: Solve the following equation for w w2 = 5 – 12i, WE C Select one: O a. w = ±(3+ 2i) b. w = +(3 – 2i)…

A: given w2=5-12i

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A: Given DE  y'=x3-2y33xy2  …………………………(i) we can write it as dydx=x3-2y33xy2

Q: If (x + iy)/3 = 3 - 4i , where x, y e R, evaluate O a. -50 O b. 50 O . -28 O d. 28

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Q: If DF = 78, DE = 5x – 9, and EF = 2r + 10, find EF. %3D F E D

A: We have to find EF for the given figure: Here, DF=78DE=5x-9EF=2x+10 From the figure we can see that…

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Q: 2. Find the general solution. а. у' + sec x у%3D cos x. b. y' +y =(e* - e-*). c. y' +=y. d. y' = .…

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Q: (c) If f (2) = (2³ + 6) e'0-, 10z and f' (6i) = re®̟ then what is the value of r² ?

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Q: the solution for the I.V.P. y'+ytanx= e2×cosx y(0) = 2 is y = (e2x+3)cosx Select one: True O False

A: Explanation of the answer is as follows

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A: To simplify the following expression

Q: If x and y are positive and 5x³y = 25x?, what is x' in terms of y? AO 1/5y B0 125y CO 1/20y DO 5y

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Q: 23. y²dx + (xy – 1)dy = 0

A: Let's find.

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Q: Solve the following using variable separable. (y’)2 =  1 − y2/1 − x2         ;         y = 1/2, x…

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Q: Find all values of the constant c so that (xy + 1)dydx = 4 + 4c. 1J0

A: An iterated integral is an integral over several variables where each variable is integrated over…

Q: Given h(x) = 5x – 2, find h(5). %3D

A: On solving ,we get

Q: please show all your work step by step. Given a = 4i + 5j and b = 6i + 7j, express i and j in terms…

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Q: Find H(−2) and H'(−2), where H(x) =

A: Here we have;  H(x)=∫-2xduu2+1

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Q: Given b = – 3i + 10j and v = 10i + 4j, find b + v. 6 + =

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Q: If NK = 6x - 15. NM 4x+11, and KM = 23, solve for e and find N P. %3D K L. N P

A: Given diagram is a kite. We should know few properties of kite. Let's discuss first those properties…

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Q: define: Y ~ N„(µ, 0²I) and µ= (µ1, H2;. .. H)'.

A: Given: Y~Nnμ,σ2Iwhere μ=μ1,μ2,...,μn'

Q: If x=⎛⎜⎝23i1−i⎞⎟⎠x=23i1−i and y=⎛⎜⎝−1+i23−i⎞⎟⎠y=−1+i23−i, find(x, y)

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Q: Question x²+5x+4 If y(x) = In *), find y' (x).

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Q: Solve h=ab+rh=ab+r for a

A: Given     h= ab + rh We can solve for a by separating it

Q: r2 (x+68y)ev dydx -1Jo

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Q: From a given instance of x=0 and y=3, determine where the solution od this DE. (2x-y)+(2y-x)y'=0 is…

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Q: Find the constant C such that * x3 – 3x + 8 < C, where x e [0, 3] | 18 O 23 14 17 O 26

A: We have to find c

Q: Find CE R such that x(s) = 2 - Ce-s is a solution of the IVP x' = 2-x, x(0) = 3.

A: Introduction: Initial value issues are a specific kind of calculus issue. Calculus initial value…

Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

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Q: Determine the value of k if |I +k dx = 2.

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Q: -** Find the solution set in c Z² + 2i(32i) = 3Z

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Q: If ∫3 0 f(x)dx=−2 and ∫4 0 g(x)dx=5, what is the value of ∫∫Df(x)g(y)dA where DD is the rectangle:…

A: Consider the given Information:

Q: If f,(x? + k) dx = 16, what is k? %3D А.- 12 В.-4 С.0 D. 4

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Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

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Q: 8. If DE = 16x - 3, EF = 9x + 11, and DF = 52, find HG. %3D D F

A: All the side of rhombus are equal .anf  digonal bisect each other at 90°.

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Q: Determine a general solution for the DE : y" + 2k?y' + k*y = 0

A: We have to find the solution for given differential equation

Q: When two resistors having resistances R1 ohms and R2' ohms are connected in parallel, their combined…

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Q: Given y= x ln? (3x), then dy is dメ A\ y =X [9+ ea ( 3x) ] %3D 3 C/y21n(3x)+ [つと ( 3x) こ

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Q: If AB 12 centimeters, OE = 4 centimeters, and OF = 4 centimeters in O0, find CF. %3D E D F

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Q: I, y ds S:Z=X 0くxく」 こ>Rつo

A: Solve the following

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Q: If y = ex , then y' equals (A none of the given choices - 2y x3 2x 2y D 2x E

A: Please refer the attached image for complete solution. THANK YOU.

Q: Please

A: Apply the chain rule to find the derivative of the function f(x) = sin2(2x):