Let  V = −4i + j  and  W = i − 4j,  and find the following. |3V − W|

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: If v=−5i+j and w =4i+j, find |v + w|.

A: Given,           v=−5i+j and w =4i+jTo find: v+w

Q: rts (a) through (d) belo 2+2 1².1 0sx elsev X), Var(Y), and Cov(X) r answers.) 7 r answer.)

A: The joint probability density function for (x,y) is given below f(x,y)=94x2+34y2    0≤x,y≤10…

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: Find v. v= - 12i + 5j M =] (Type (Туре an exact answer, using

A: The vector is given by v = -12i+5j To evaluate : The value of the magnitude v of the vector v

Q: Let a = i − j + k, b = 3i + 5j − k, and c = −i + j + 3k. Find the indicated quantity. a · (b × c)

A: See attached file for a step by step explanation to find the required quantity.

Q: B. GIVEN: BF 1 AC,DE 1 AC, AB = DC, AE= CF. 18. PROVE: AAFB =ACED. F A

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Q: A E F B CD 1 AB, BE I AC AC = AB, AD = 4x-5 AE = 2x + 7, mZA = 3x +8. 9. Find m2C 10. AAEB = AADC by…

A: This question can be solved by applying ASA congruency.

Q: Let a = 1-j+ k, b = 4i + 5)-k, and c - -I+j+ 4k. Find the Indicated quantity. a (b x c)

A: Given: a=i-j+k, b=4i+5j-k, c=-i+j+4k To evaluate: a·b×c Cross product of two vectors r→=ai^ +…

Q: x=In i y=r2, find y " when For x=0• O 8 O 4 O 16 O 2

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Q: H In OJ, GH = 9, KL = 4x + 1. Find x. R 5. 5 S. GK

A: Given: GH=9,KL=4x+1  If from a centre a perpendicular is drawn to the chord, then a chord is divided…

Q: 0(x. y) y= Vuv , then find 2. If x=, at (1,1) O(u.v)

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Q: Solve the following systemto find .r(T.02)using RK2 i(1) = 1 +.r² +r?. x(1) = -4, l = 0.01. a = 1…

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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: Solve the following B.V.P. utt %3D с 2ихx; { и(х, 0) 3D сos x - и (0) %3 0, и (2л) - 00<x<20 1, ut…

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Q: Given z = 3– 4i and w = -1- 2i, compute the following and express your final answers in the fe-n a +…

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Q: Let w e H and suppose that (1+ i)w(1+ 2j) = 1+ k. nd w (your answer should be in the form a + bi +…

A: Given function is, 1+iω1+2j=1+k

Q: If u=2i + j -3k and v=i + 4j +k, find u x v.

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Q: for z=1+5i and w=3+i, find z/w Write the result a+bi

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Q: If h(x) = V6 + 5f(x), where f(2) = 6 and f '(2) = 3, find h'(2). %3D h'(2) = %3D

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Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

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Q: Ql:B // Given X = i- 5j + k, Y = -4i + j-k Find each of the following : a: • ỹ b: y * * c: +X

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Q: Given f(x, y, z)= x cos(y - z), find: (a) 821 дудх (b) 821 дхдz (c) (d) 82f дх2 231 ?хдудz

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Q: If ā = i+j- 2k, b= 3i – 2j + k, č = i+j-2k. Calculate: 1. аx (bxc) 2. || a x c ||

A: Please see the explanation below

Q: If A = *yzi – 2x² j + xz? k and B = 221 + yj – x° k, find za (AXB) at (1,0,–2). Ans. -41 - 8j

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Q: Let z=xin(x2+y2-e4)-176xy, x=te, y=est, If the value of z when s=2 and t=1 is equal to Ae?+Be4, then…

A: Explanation of the answer is as follows

Q: Let a = (x + y)i + 2j + yk and b = 3i+ (4.x + y + 1)j + 4k. Find values of x and y such that a l b.…

A: Givena=(x+y)i+2j+ykb=3i+(4x+y+1)j+4k

Q: Let C: |z-i|=3 and I = $. e2z dz. Then z2 - |=0 |= 6ti O None of these |= 4Tti O I= 8ti

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Q: a) Find the values of A and B if - {(x² + Ax + B)e*} = x²e* dx Hence, evaluate S, x²e*dx

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

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Q: Given V=4yi +xj+2zk, then V-V 20 4i+j+2k other answer 2k

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Q: Find ax b) x e/if ах X a =i-2j+k, b=i+2j-4k, c=2i – 3j + k

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Q: Given X = i – 5j + k , Y = –4i +j-k find each of the following a: i * ỷ b: ỷ * * c: x * *

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Q: Find x E R that satisfies -2 , – 02 + 2 vz U2 det = x det + – ö4 2 0 + 03 U3

A: The key concept to solve the given problem is that : The determinant of a matrix remains unchanged…

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

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Q: Q5: For which values of z is w =1/(z - i), defined? For these values obtain u and v and evaluate w…

A: Given that: w=1z-i, z=1-2i

Q: 1 f f(x) = : R → R, Vx2 – 4 At how many different integer points x is discontinuous? 25 - O A) 3 O…

A: We have f(x) = 1x2-4Clearly f(x) assumes real values for all real values for all x except for the…

Q: AL = 7x –6 x = AB = %3D BC = 1013 2. Point S is between R and T on RT. Use the given information to…

A: Use algebra for solve

Q: Reduce the following equations to canonical form and hence find their solutions i) Ux - yuy у цхх +…

A: To find - a) ux - yuy = 1 + u               b) y uxx + (x+y)uxy + xuyy = 0  , y≠x               c)…

Q: Q) Verify that (bx с) %3D b.(с х а) — с. (а x b) if a %34i — 3ј +6k , b- 5i +4j — 3k, с %3 4i +6j +3…

A: Given the three vectors

Q: If Y = aX + b (a not equal 0), then O a. P(X,Y) = 1 O b. Cov(X,Y) = 1 C. Cov(X, Y) = 0 d. None of…

A: Consider the following example. When a (not equal to 0)

Q: - Given a=i+j, b= i - 2k and c = 2i +3j then c x (a x b)

A: Given: a=i+j , b=i-2k , c=2i+3j

Q: Find the indicated quantity, assuming that u = 2i + j, v = i - 3j, and w = 3i + 5j. (A - n) . (A +…

A: The solution is only for first problem because of bartleby policy.

Q: Find all values of x so that v · v = 1, where

A: Given vector, v=12-12x That is v=12i-12j+xk

Q: If ā = i+j- 2k, b= 3i – 2j + k, č = i+j-2k. Calculate: 1. ах (bxc) 2. || a xc |

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Q: Determine the value of the following mathematical expression, where u=3 and v=6. each) 4v a. w = Зи…

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Q: Find r(t) if r'(t) = ti+ efj + 2to2t k and r(0) = i+j+ k. r(t) Need Help? Read It

A: Given data is: r't=t2 i+et j+2te2t k r(0)=i+j+k To find the value of rt

Q: Q3 : Find 1 and u if (2i + 6j + 27k) × (i + lj + µk) = 0.

A: Let's find.

Q: Let Find in terms of x and y. x=1+3a+6a² +10a³+, |a|<1 y = 1+ 4b+10b² + 206³ +.., |b|<1…

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Q: If the substitution u=1+/x is made, then dx = A 2fvūdu В du O 2 Su?du

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