4. Three collinear vectors, a, b, and c, are such that à = 2²/b b and à = 1/2c. (a) Determine integer values for m and n such that mc + nỗ = 0. How many values are possible for m and n to make this statement true? (b) Determine integer values for d, e, and ƒ such that dã + eb + fc = Ō. Are these values unique? (i.e. Is this the only solution?)

Q: 6. cos x sinỗ xdx

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A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

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A: To find out the integration.

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A: To find the value of given fds over given region.

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A: Solved below.

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Q: If y = (3 + 2x), what is y"? 00 48(3 + 2)2 © 12(3+2r)? O24(3 + 2)²

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Q: (C): Find representative Fraction scale (R.F) from verbal statement of (6 inch to 1 mile) (12mile to…

A: Given :6 inch to 1 mile :12 miles to 1 inch

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Q: 11. Describe as many equivalent conditions as possible for a given vector field F is a conservative…

A: Given : F→ is conservative.

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Q: + + 1.3 3.5 5.7 + .. + ……. (2n-1)(2n+1)

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Q: Q:1) Evaluate the line integral: [[xy'dx+x²ydy] C: [(x, y): x=t₁y=f²,0 ≤t≤1].

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Q: 49-7 Estimate lim *-7 -7 is approaching to using a table of functional values.

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Q: 2. f(x) = 1 x²-1

A: We have f(x) =1x2-1

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Q: Correct the answer Find the median for the following numbers: (21, 32,29, 8, 18, 3, 25) A-8 B-7 C-9…

A: To find the median of given set of numbers.

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Q: Each of five students made a different statement about the graph of y= 0.5 log x.

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Q: x.e²ydy + 12 dx = 0

A: Follow the procedure given below.

Q: There are 28 students in Mr. Connelly's Grade 12 mathematics class. The number of students in the…

A: Denote nA=number of elements in the set.

Q: 2|6x + 4 ≥ 1 OX - 7/12 O-7/12 - 12/7

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Q: Jo (sec 9x + csc 9x)³ dx

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Q: (b) The graph of y-g(x) is shown. Draw the graph of y=-g(x).

A: we have the graph of F(x) vs x when we put -x in place of x the graph will be mirror across Y- axis…

Q: 1. For which values of a and b is the following system of equations inconsistent. x+2y3z = 4 3x - y…

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Q: Example: • f(x, y, z) = x³ + 3xy + 3xz + y² + 3yz + z³ • Find the stationary points • Classify the…

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Q: 2. Differentiate. a)/(x)=12x¹ 5 -1 √√2-1 c) h(x)=- b) y = - 3x² 2x+3 - d) y = 21+1 31-2)

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Q: f(x) = 4e³x9e²x

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Q: Evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.…

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Q: 1. Write a formula for f g h 2. Find the value of x [2x 31[¹3] = .f(x)=√x+1, g(x)=(x) -

A: 1) The given functions are: f(x)=x+1, g(x)=1x+4, h(x)=1x

Q: 3. f(x) = x-4 x+5

A:

Q: Find the solution of the given ODE. * x² + 3y² y 2xy Y = 1 Option 1 1 8 85 x = Cx = Cx 2 1 + ( ² ) ²…

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Q: The equations x+y=6 and y=- -10-9 -8-7-6 -5 -4 -3 -2-10 -10 Determine the solution (s) to the system…

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Q: 5.) Using the tables, evaluate h'(2) for h(x) = - A.) 33√2 C) 33√2 33√2 512 8 33√2 D.) 3√2 f(x) g(x)

A: Given h(x)=f(x)g(x)

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Q: Using the appropriate substitution, what is the homogeneous form of the given ODE:…

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Q: 1.6 × 10-19 × 1.24 × 104 6.63 × 10-34

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Q: 6X-1 4X+1 X+7< 6 OX<-89/2 (-∞, - 89/2) O X<- 89 (00,- 89) O X<-2/89 (-∞, -2/89) O X<∞ (89/2, ∞) 8

A: x+7&lt;6x-14-4x+16x+7&lt;6(6x-1)-4(4x+1)4×6x+7&lt;36x-6-16x-424x+7&lt;20x-1024Multiply 24 on both…

Q: sin () cot ()+cos ( cos (1) sec (7)

A: We use  sin(π+x)=-sin(x) cot(π-x)=-cot(x)  sec(π+x)=-sec(x)

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A: If the region bounded by x=f(y) and x=g(y) on [ a, b], where f(y)≥g(y)is rotated about the y‐axis,…

Q: Given the matrices A: = [1-4] 0 21. B=( )-C-1) ₁ [1 -5 5 and C= the matrix X in the equation AX + 5B…

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Q: D Question 5 If y = 7³/2, then True False dy = ¹/2

A:

Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4