Let f (x) = 3x, g (x) = x + 1. Find the composite function. ​

Q: COLUMN A _1. S(G-0) dx =- 4 In|x|+ C ? 8 _2. )dx dx = 6Vx + C ? _3. S(3VE +는) dz=(x+ 3) + C

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A: Topic = Geometry

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Q: dx %-D5 when x= 4. dt ,3 Assume that x x(t) and y y(t). Let y=x +2 and dy when x= 4. Find dt dy (Sim...

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Q: Determine whether each point lies on the line. x = -1 + t, y = 3t, z = 5 +t (a) (0,3, 6) O Yes O No ...

A: a)(0, 3, 6)x=-1+t 0=-1+tt=1y=3t 3=3tt=1z=5+t 6=5+tt=1t=1 for x, y and z.The point lies on the line.b...

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Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j = n

A: Topic = Vector

Q: 12w3+6w2-5w+1 h : 5w+3

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Q: Determine which of the following equations is correct. = xp Sx O +C ㅇ중 Inl +C 2in lal +C O 4x In Ixl...

A: The given integral is  x∫ 14x dx

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Q: Distinguish Between Partial Derivative and Ordinary Derivative ?

A: ## Distinguish  Between Partial Derivative and Ordinary Derivative....

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Q: A. Directions: Identify if the given function is continuous [-3,2) (1,3] - (0,4) [4,5.25) (-3,0) ......

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Q: (e*-y- 2x+y³ cosx)dx +(3y²sinx – e*-Y)dy=0; y(0) = (i) Identify the type (ii) Set up the solution st...

A: We will solve the differential equation. 

Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: The equation of the plane P which is normal to the vector n and passes through the point R is given ...

Q: x-8 Find the interval of the continuity of the function f(x) = x^e*+ V*- In(x-2)

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Q: Question 5 Finding the limit: lim2 V12x + 3. O 9 O 5 O 3 O 7 O (E)

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Q: The orthogonal trajectories of r = 5a sin 0 is, where a is an arbitrary constant r = csin 0 O r5 = c...

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Q: Please provide the name of each property that I have circled. Please provide the exact name.

A: To name the integral properties.∫-aafxdx=∫-a0fxdx+∫0afxdx∫-a0fxdx=∫0af-xdx

Q: Question 5 Find the value or values of c that satisfy the conclusion of the mean value theorem in th...

A: Use mean value theorem

Q: Find the area of the shaded region. The image is not to scale. x= -cy Ay x=d- y? Consider c=1, d=2. ...

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Q: Find the area of the triangle with vertices P(1,4, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

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Q: Let f(x) = 6 sin- (x³) f' (x):

A: Basic identities of differentiation are used

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Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

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Q: Let f(æ) = (In æ)® f'(x) = f'(e?) =

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Q: Consider the following differential equation - (8 – r) dr + 9rds = 0

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Q: at (1, 3). Find the slope of the tangent to the curve x° + 3xy + y° = The slope is

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find u, 3v, v – u, and 2u + 5u 3. u = (4, 3), v = (3, –3) 2. (a) 3

A: Given: u=4,3   v=3,-3

Q: Let f : R2 → R be defined by f((x, y)) = x² + 2y – 3xy, for every(x, y) E R² - The value of fx((0, 0...

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Q: Find the unit vector in the direction of V v = -6.3i + 3.7j %3D u =

A: Topic = Vector

Q: Question 1 Given f (x) = 2x and g (x) = 4x + 3. Evaluate f (g ()). %3D O 300 150 O 200 O (E) 250

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the...

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Q: Identify if the given function is continuous on a given interval. 4. [3,7] 5. (-5,5) with explanatio...

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Q: Find the zeroes of the functions algebraically. x2- 14x+ 48 f(x)= 7x x = 8, x = 6, x= x= x =-8, x = ...

A: Explanation of the answer is as follows

Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

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Q: Find the magnitude and the direction of the igiiven.vector lu=(3,-4)

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Q: Laura borrowed a total of $25,000 from two different banks to start a business. One bank charged int...

A: Total money borrowed=$25000first bank chaged 5% simple interest.second bank charged 6.5% interest.ti...

Q: 2 Find u, 3v, v – u, and 2u + 5v. | (7, 6), v = (4, –4) 2. (a) 3 (b) 3v (c) V - u (d) 2u + 5v

A: u=7i+6jv=4i-4ja) 23u23u=23(7i+6j)23u=237i+23*6j23u=143i+4jb) 3v=3(4i-4j)3v=12i-12jc)v-u=(4i-4j)-(7i-...

Q: 6. Exponential Functions 7. Logarithmic Functions 8. Absolute Value Functions 9. (Basic) Sine functi...

A: 6. Exponential functions are always continuous because they are always differentiable and continuity...

Q: Next que Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. a...

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