Given the function z = I a. Find the directional derivative of z at (2, 6) in the direction making an angle axis. Directional Derivative is b. Find the maximum rate of increase of z at (2,6). 4 Maximum Rate of Increase is 4 with the positive Z- 15/06/2023 15

Q: 2(x + 1) = 10

A: GIVEN: 2(x + 1) = 10                 x + 1 = 5                 x = 5 - 1                 x =

Q: 19. Maggie maintains a daily caloric intake of 1,800 calories. Her breakfast had 630 calories and…

A: Given data :  Total intake of 1, 800 calories. Her breakfast had 630 calories  Her lunch intake…

Q: 3. Find the value of x. x+3 12 X = type your answer...

A: Given query is to find the value of x.

Q: Solve for x.

A:

Q: 2. Compute the expression. dx [√³² √² +F³ dr] √1+r³ 0

A:

Q: √√3 If sin(x + y) = -sinx + _cos x, what is the value of y? ainx ]

A: given  sin(x+y)=32sinx+12cosxwe know sin(x+y)=sinxcosy+cosxsiny

Q: Solve the following equation for t. 14 - 21| + 5 = 12 %3D

A:

Q: O y = |x| 5- 4 1 O y = 3- 2 O y = V¤ а. -5 -4 -3 -2 - 4 5 O y = a? -2 O y = x³ -3 -4 O y = x -5+ 1 2…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 30 Find x. A D 18

A: Using phythagoras theorem  (Hypotenuse)² = (base)² + (perpendicular)²

Q: The largest root of 9.50x2+38.43x+1.8=0 is

A: We have to find the largest root of 9.50x2 + 38.43x + 1.8 = 0 using Quadratic Formula.

Q: Add to 2. 30 45 y X =

A:

Q: Find the value of (3/2). 4

A:

Q: Factor. x²-15x+36 x² -15x+36 =

A:

Q: B. Find the value of x. x + 9 - 3x + 5

A: Here, we have to find the value of x,

Q: woudlnt P(P|S) be .41 instead of .14 because S represents when the cat is asleep and S' represents…

A: Probability explains chance how much an event can happen. It is calculated by number of favorable…

Q: Find n when a, =24, d= 8, and a, = 48.

A:

Q: Find the value of t so that t 4 -4| 2 3 3=4 4 5 0

A:

Q: .2 dz 2–1

A:

Q: Let R = Z36. Finda. N(<0>). b. N(<4>). c. N(<6>).

A: In the given problem, R = Z_36 represents the ring of integers modulo 36. The elements of R are the…

Q: 3) Copy and complete the following table. g(x) f(x) (fo g) (x) |x| а. b. ? x - 1 x + 1 с. ? d. Va…

A:

Q: AY 4 2. 4 4 -2 4 XA 2. 2.

A:

Q: Find the value of c if, P(Z < c) = 0.25 а. -0.67 b. -0.0987 c. 0.67 d. 0.0987

A: Given, P(Z&lt;c) =0.25

Q: -5 2 -2 4 5 Given A = what is the rank of ATA? 3 -4 -6 -2 -5

A: We find rank of A^TA

Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

Q: What is the possible value of (ꟾ -X ꟾ - X2) if (ꟾ -2X + 9ꟾ = 3)? a. -42 b. 42 c. 30 d. -30 e. None…

A: Topic:- basic algebra

Q: a. (f+g)(-4)

A:

Q: 11. What is the value of x? (0,10) (4,111) # (x,5) (0,0) A. 1 B. 2 C. 3 D. 3.5

A: Please see the below picture for detailed solution.

Q: :Find values of x if 2 1 2 = 0 1 2 13 6.

A: Let the given matrix be A, Given, |A| = 0

Q: U Find the point on the line -3x + 3y - 3=0 which is closest to the point (-2,-2). Answer is

A: Line equation is -3x+3y-3=0 The point is (-2,-2) The point on the line which is closest to this…

Q: 10 (S) (S+3)² = (3) (S+3) ²³ + K₂ (S+3) + K3+ K₁ (3+3)

A: The given equation is 10ss+32=k1ss+32+k2s+2s+32+k3+k4s+3 To find the value of k3 when s=-3 .   The…

Q: X- N(5,2). P(X>2) = ?. [Draw a figure]

A:

Q: iPhone. The number of iPhones purchased is given by N= 2,000,000/1+2e-4t where {t is the time in…

A: Given, N=2,000,0001+2e-4t              ........1WhereN→Number of iPhones purchasedt→timein weeks

Q: 8. f : {1,2,.5} × {1,2, . 8} → {1,2, . 40}. ...

A: Given: f:{1,2,...5}×{1,2,...8}→{1,2,...40} To find- A bijection f between the given sets.…

Q: 2. Which of the following represents the value of when a = 3 and b = 2? 4 (1) (3) 36 (2) 81 (4)

A: Given: a-4b-2, a=3 and b=2    Then substituting a=3 and b=2 in  a-4b-2Then  a-4b-2= (3)-4(2)-2…

Q: (vii) at least one of the car (viii) none of the car.

A: