6. f cos¹ 2 xdx

Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: Solve the D.EXY+Y=1/1/2

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Q: Problem 7 x√x + 1 dx

A: Given ∫07xx+13dx

Q: Question. Suppose a population of fruit flies changes at a rate of g(t) = -3e0.021, in flies per…

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Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: Find x and y such that 64, x, y, 1 is part of an x = , y = Then find x and y so that the sequence is…

A:

Q: ow that the differential form in the integral below is exact. Then evaluate the integral. 5,1) 20x…

A: We have to examine that the given differential form of intregal is exact or not .after that we have…

Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A:

Q: The degree of DE: (y")^2 +3y(y')+y^3 (y')^5 = 5x 02 01 05 0 3

A: Recall:  The degree of D.E. is the highest power of the highest order derivative in a D.E.

Q: Problem x√x+1 dr

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Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: Evaluate the following: π 1.² (cot 20 + csc 20) de 6 TU cost 2. S1-sint 2 dt

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Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: We need to choose correct option.

Q: - nsider the function f(x) = 2x³ + 3x² – 36x - 54. a. Find the first derivative. f'(x) = b. List any…

A: Topic:- calculus Note :- as per our guideline if more than three subparts posted than only first…

Q: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of…

A: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h.

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t…

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Q: y = x^ (Hint: First take LN of both sides and use implicit differentiation.)

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Q: e. Find the second derivaitve. f''(x) = = f. Use parts b through e to identify maximums as points.…

A: e.fx=2x3+3x2-36x-54f'x=6x2+6x-36f''x=12x+6f. for maximum point f'x is +ve to…

Q: Suppose that the bacteria in a colony can grow unchecked. If the colony bacteria starts with 2…

A:

Q: The following chart shows student population in a certain elementary school over a 5 year period.…

A: topic- average rate of change

Q: x³ + 3y = xy (By implicit differentiation)

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Q: s={ 3112 4'2'3'9' =(5, 5.5, 6, 6.5, 7, 7.5,...} = {√2,2√2,3√2, 4√2,...} ={√2,2,2√2,4,...}

A: Topic:- sequence and series

Q: A 60-m climbing rope is hanging over the side of a tall cliff. How much work is performed in pulling…

A: We have to find work done.

Q: 17) Find P₁0 (x), the Taylor polynomial f(x)= tan¹ (x³) at a=0. P(x) = x²³ - ²¹ +² the function

A: To find the Taylor's polynomial

Q: Using Cramer's Rule to solve (if possible) the system of linear equations 1 A -10 1 B 11 N SSSUSU…

A:

Q: Find the area of the surface obtained by rotating the line y = 19x + 6 about the x - axis from the…

A: Area of surface is evaluated.

Q: f(x)-f(a) a. Use the definition mtan = lim x-a x→a b. Determine an equation of the tangent line at…

A:

Q: (-2xy) dx + (Sing-x)dy 3 7 dy + 3xy dx = x ēdx • (3x-2y + 2) dx + (3y-2x-2) dy zo (y + x² ) dx = xdy

A:

Q: Find the altitude of a rectangular closed box with volume 100 cubic inches with length twice the…

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Q: Q3: Fill in the blanks in the following: 1. If a=(3,-2, 6) and b =(4,-1,-6) the axb = ********* 2.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: hestion B.) Does this CONVERGE or DIVERGE? 1 E 2 A=1 (lan)² √n

A: We have to find the convergence test

Q: 7. Evaluate the volume generated by revolving the area bounded by the given curves using the hollow…

A: The given curves are x=4y-y2, y=x.   Now find the point of intersection between the curves…

Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: Find the indefinite integral: A X+X+C B x³ + x² + c с x5/5 + x²/2+c D 5x5+2x²+c Sx(x³ + 1)dx

A:

Q: 3. 4. If = (-12, 4, 8) the position vector of u is...........

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Q: 6-18x4 ic notation and fractions where needed. Give your answers in the form of comma separated li…

A: Topic:- calculus

Q: ind A or each of the following intervals, tell whether f(x) is increasing or decreasing. -∞o, A):…

A: Topic:- calculus

Q: y = sin² (3x)

A: Topic = Derivative

Q: y = Arctan 2+x 1-2x

A:

Q: x $ (0.7-198) Consider the angle shown above measured (in radians) counterclockwise from an initial…

A:

Q: The graph below is the function f(x) 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 Find lim Find lim Find lim Find…

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Q: Find the area bounded by the following functions/lines/curves: f(x) = 3x3 - x2 - 10x; g(x) = -x2 +…

A: Given: f(x) = 3x3 - x2 - 10x; g(x) = -x2 + 2x Let's first find the intersection point  3x3-x2-10x =…

Q: A company's revenue from selling x units of an item is given as R = 1800x – 2x². If sales are…

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Q: e dy dx У-х+1 У-х +5

A:

Q: 9. y = 3 Arcsec 3x

A: On solving this we will get

Q: Let f(x)=2x - 4x + 5. a. Find the values of x for which the slope of the curve y = f(x) is 0. b.…

A: Topic = Derivative