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Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a + ...

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Q: (2) = 3y² – y² sin x dx (3) (x² + 1) = y² + 1 %3D dx

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Q: + 2y 90 sec dy d0 20

A: Follow the procedure given below. 

Q: 4. Find the area of the triangle with the vertices A(2, –3,4), B(-1,-2,2), and C(3,1,-3) then find t...

A: We will find the area and the angle of the triangle.Where points A, B,C are given.Below find the sol...

Q: The orthogonal trajectory for x^ 2 =ce^ x^ 2 +y^ 2 is

A: Orthogonal trajectory

Q: Two forces, with magnitudes 2 N and 3 N, act on an object at 10° to one another. Determine the resul...

A: Given that: Two forces are: 2 N and 3N acting at 10° to one another.

Q: After t hours a freight train is  s(t) = 17t2 − 2t3  miles due north of its starting point  (for 0...

A: Given that: s(t)=17t2-2t3

Q: If y 3x-5, then find the tangent and normal equations X=3 %3D

A: First we find slope of line.  Then equation of tangent is         y-y0 = m (  x-x0)  For normal equa...

Q: J csc 3x dx

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Q: 4. Determine the constant m such that f(x) = {x2 + m, if x ≥ 3                                      ...

A: Given that: f(x)=x2+m, if x≥32x-m, if x<3

Q: Direction: Find the derivative of the function. (z + 1)(z + 2) (표-1)(포- 2) Select one: -6 (z? – 2) (...

A: Find your answer below 

Q: 2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m³/s. The critical depth y for such...

A: Q=20 m3sg=9.81 ms2A=3y + y22B=3+yy= critical depthfy=1-Q2gA3BAim: We need to find theapproximate val...

Q: Find the parabola with equation y = ax? + bx whose tangent line at (1, 1) has equation y = 5x – 4. y...

A: Let's find. 

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

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Q: To verify whether a matrix B is the inverse of the given matrix A, we need to check whether the prod...

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Q: By?dx +[2yłn () + 3siny dy 0 ;when x = 1, y = 0 ²+3x x+3

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Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A:     ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: -* dw 2 w2w

A: Given:     ∫28dww2w  =∫2812w32dw Taking constant out.   =12∫281w32dw

Q: (a) Let A = {1,2,3}, B = {3, 1,2}, and C = {1,1,2,3, 3, 3}. What are the elements of A, B, and C? Ho...

A: Find your answer below 

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: Given fx=x25-9x if -1≤x≤0if      0<x≤1

Q: The functions f and g are defined as f(x) = 5x- 2 and g(x) = - 7x. a) Find the domain of f, g, f+g, ...

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Q: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer wi...

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Q: dz Use the Chain Rule to find : z = = cos(x + 4y),x = 5t*, y = - %3D dt

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O n...

A: Given fx is continuous between a and b

Q: 3. Find the domain and the range for the following functions: g(x) = 2 sqaure root x − 3  − 4

A: Topic = Functions

Q: (a) Suppose g(x) = L flm2, f(1) = 3 and g'(1) = 7. Find f'(1). f(x))² * (b) If g is a twice differnt...

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Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of poi...

Q: sin x cos? x dx

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Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the...

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Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1 ...

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Q: Evaluate the integral: x ln x dx Choose the most appropriate answer. 승nz- +C ,6 -In x 6 36 x° (ln x)...

A: We have to evaluate the integral ∫x5 ln x dx

Q: Find the abscissa of the centroid of the region between the parabola y = 6 − x2 and the line y = 1 −...

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Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...

Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: V. HIGHER DERIVATIVES AND CHAIN RULE 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = V1 + V1-x

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Q: some items may need simplifying 21 1. .f(x) = [(x² – 9)Vx+ 2]|

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Q: F.M: 15 1. Use second derivative test to classify each of the given critical numbers as a relative m...

A: 1. A) f(x) = e-x(x² - 3x + 1)  So, f'(x) = e-x(2x - 3) - e-x(x² - 3x + 1) So, f'(x) = e-x(2x - 3 - x...

Q: 3. In (cose) tane de

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Q: Question 17 Complete the integration: Determine the value of "?".

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: Find your answer below 

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval (...

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Q: (a) Find the differential dy. y = cos(TX) dy = (b) Evaluate dy for the given values of x and dx. (Ro...

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Q: Evaluate: 1- cos(x) 3x2 lim Express your answer in 4 decimal places.

A: According to question,Given limit,limx→0 1- cos x3x2

Q: Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x abou...

A: Given problem:- Determine the volume of solid obtained by rotating the region bounded by y = x2 – 2x...

Q: 器+4+5y = 8 sin x when dx X -0, y=o y'eo Find when x = T

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Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the comput...

A: Given:  cot (3.0642 + 2.5712i) 

Q: Inverse Function: One-to-one   Running burns about 13 calories per minute. a) Determine the type ...

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Q: B. lim 3* 1. Construct the table of values let x be -3, -1, 0, 1, 3, 5, 7, and 9. 2. Graph the funct...

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Q: dy (5) (2х — у) — 2у — х dx

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...