Calculate Duf( – 4, − 4, 1) in the direction of 7 = f(x, y, z) Round your answer to four decimal places. = 27-33-k for the function − x² + 5xy + 5y² + 3x − 3yz + 4z² + xz.

Q: x = 1 only if x2 = x.

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Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: when y = In(2x – 4x). -

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Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: If A = -1 1 4 1 -2 -3 0 1 -2 and B = -1 2 −1 1 4 -2 -2 -3 then

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Find VU 5х - 1 11x + 1 T U 16

A: Given, VU= (5x-1)   UT= (11x+1) and     VT=16

Q: Find x intercept  2x+3y=6

A: We have to find the x intercept

Q: y=3/2x +1/2 4x + 6y =3

A: Let's solve given two linear equations.

Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: y = C¡e e-2= + Cze³* + C2e%

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Q: Find the z value that corresponds to the given area in the figure below. Use a graphing calculator…

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Q: dx :Vx2 -1 1

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Q: .2 y = 4 - x² and x +y = 2.

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Q: Differentiate. y = 2/x (2Vx) = (2x)-] xp

A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

Q: 6yz+2yz+8yz=

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Q: Find x and y  4x + 6y = 9 x + 3y = 6

A: eliminate x first and find the value of y and by puting the value of x we can find the value of x.

Q: Q5: Evaluate f(secx)³ dx

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Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Calculate AB – 2CT where 1 2 A -1 0 1 1 2 1) В C = 0 1 (-3 2, -

A: Given the matrices A=12101-1,B=-1021-11,C=-21-32. Calculate AB-2CT.

Q: y=3x

A: y = 3x  is an equation of a line  General form of equation of a line = y= mx +c Where, m= slope of…

Q: Simplify 2 (2-) I 2.y-5.22 2

A: Simplifying the given expression

Q: x + 4y = 11 x – 6y = 11

A: By using elimination method

Q: -3r2-4t+2=0 Slove for R

A: Given, -3r2-4t+2=0

Q: Find * L-1{ 52-4s+13

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Q: y = x3 − 1  when  x = −1, 0, 1, and 2

A: Answer is  y= -2, -1 , 0 , 7.

Q: AFGH~ AKJH, J x + 8 32 4x-25 52 F K

A: From the given figure, calculating the value of "x".

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)