11. In a sine wave: a) At what angle, or angles, is the amplitude increasing at its fastest rate? b) At what angle, or angles, is the amplitude momentarily constant?

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: We have to solve given differential equation

Q: . Find the domain of the inverse of the function f(x) = −3√4− x  + 5.

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Q: Differentiate the function. H(x) = (x + x=1)3 %3D

A: Important formula ddxxn = x(n-1) (a+b)3 = a3 + 3a2b +3ab2 + b3

Q: 1 Using a table of values, estimate lim 7. z-3 I - 3 а. 1 b. -1 c. - 0 d. 0 x + 4 Using tables of va...

A: Topic:- calculus

Q: Solve the given differential equation by undetermined coefficients. y" – y' + y = 2 + ex/2 %3D y(x) ...

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Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.

A: To approximate: 2.032+0.82+2.12 Consider a function, fx,y,z=x2+y2+z2 The linear approximation of a f...

Q: A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the ...

A: Solution: a) upper limit after 4 hours

Q: the iner tind the area bound and the y-axir in the Firt quadrant.

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Q: Find domain, range, intercepts, symmetry, and asymptotes X-4 %3D | y = f(x) = x+3

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Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: We have to solve three parts on the basics of Given function.

Q: A function value and a quadrant are given. Find the other five function values. Give exact answers. ...

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Q: A function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of ...

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Q: 3 Find the abscissa of the centroid of the region between the parabola y = 9 − x2 and the line y ...

A: Given :The parabola y=9-x2 and the line y=2-2x from x=0 to x=2.To find :The abscissa of the centroid...

Q: Evaluate [z tn"(1 + x®)dx (1+x³) x². p 1 In³(1+x³) + C 1 In*(1+x³)+ C Option 1 Option 2 12 in*(1 + x...

A: topic - indefinite integral

Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

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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: Using tables of values, estimate   lim 3x

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Q: Let f(x) %3D + rCI + 3x2 – 4x 15 - This function has: 1) A y-intercept at the point 2) x-intercepts ...

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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: (b) (c) yA

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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...

Q: Find the area of the sector of the circle. r= 28.35 ft, 0=24.401° O A. 345.28 ft2 O B. 171.14 f? O C...

A: We can find the area of the sector as below.

Q: 6. Given f(x)= { 3, if x < -2    x, if -2 ≤ x<8    x+3, if x≥8  estimate lim f(x) x→−2     a.-2    ...

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Q: b) f(x) = -log2(2x + 3) – 3

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: c) limx'e*

A: We apply L-hospital's Rule to find limit.

Q: Evaluate the following. Show solution using the basic formulas.

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Q: Subtract in the indicated base. 1002, 3224 10024 3224

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Q: a) Find the divergence and the curl of the vector field F × G, where F(x,y,z) = 2x²yi – y³z²j – 2z²k...

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Q: The path r(t) = (t – sin t) i + (1- cos t) j describes motion on the cycloid x =t- sin t, y = 1- cos...

A: Here, the given curve is: r(t)=(t-sin t)i+(1-cos t)j

Q: Solve the following DE by using separation of variables or method used in solving exact DE

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Q: x3-27 dx 2. ズ-3

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Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x) ...

A: Topic:- polynomial

Q: Direction: Find the derivative of the function. 2e Select one: O y' = 4z? – 1+ 2e² O y' = 4z² +1 – 2...

A: according to company rules,i need to solve first question when multiple questions are posted so solv...

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as: ...

Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

A:

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: Find a formula for a function f that satisfies the following conditions. lim f(x) = 0 lim f (x) = -0

A: Given that:                              

Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

Q: Direction: Find the derivative of the function. 1² + 3z + 2 z² – 3z + 2 Select one: -6 (z² – 2) (z –...

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

A: Topic = Functions

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A: We need to find pollution level.

Q: Determine the curvature of the graph of y = In x at the point where x = 1.

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Q: Sketch the graph of a possible function that illustrates the combination

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Q: Miscellaneous Operation on Complex Numbers 1.-22+1 2.(2 + i) 3.cos h(i)

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Q: Evaluate the integral: 7x/2x² – 5 dx ○ 중(222 -5)1 + O 중(2a22-5)- +C 7 21 o 글(272-5)-++C (2a² – 2 + C

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Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x? - 3, g(x) =4x - 5 (fo g)(x) = (Simpl...

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Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

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Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: What is the area bounded by the curve ?^2 = −9? and the line y+1=0?

A: