Find an antiderivative of the function p(t) = t³ - 2 I t.

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(2). f(x) g(x) = X = -x+ 2 2 _…

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Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² − 2xy+3y² − 3 x…

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Q: The graph of f(w) = 9 is given below. 10- 8 6 5 4 -4-3 -2 -1 3 1 2 3 4 5 6 7 8 9 Determine the…

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Q: The graph of a one-to-one function f is given. Draw the graph of the inverse function f¹. For…

A: The graph of a​ one-to-one function  is given. To draw the graphof the inverse function .

Q: Find the radius of convergence and the interval of convergence of the power series. M8 n=1…

A: Radius of convergence is half the size of interval of convergence.And we use ratio test to find the…

Q: Tell whether the below piecewise function is  Undefined Continuous but not Differentiable…

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Q: . If an item has a new cost of C and an annual depreciation rate of r (as a decimal), its value, V,…

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Q: If c = 180, ZA = 82° and ZB = 47°, b =

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Q: Find the unit tangent vector T and the curvature x for the following parameterized curve. r(t) =…

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: From the given graph

Q: The amount, A, of 159 grams of a certain radioactive material remaining after years can be found by…

A: Given that the amount A of 159 grams of a certain radioactive material remaining after t years is

Q: 5. Using Geogebra, draw the polar curve, r = sin³ (2.50) +cos³(2.50),0 ≤ 0 ≤ 2ñ.

A: Consider the curve

Q: Note that: An interior point of the domain of a function f where f' is zero or undefined is a…

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Q: Find the mass of a lamina bounded by y=5√x,x=9,and y=0 with the density function σ(x,y)=x+1

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Q: Evaluate the following definite integral. π JU OA. (( sin 8t)i + (cos 8t)j + (10t)k) dt Select the…

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Q: 5. The compound amount, 4, accrued with quarterly compounding ^=P(1+4)". where P is the principal, r…

A: To find the time it takes for the money to double with quarterly compounding, you can use the…

Q: Find the integral. Use C for the constant of integration. J cos(9t) sin(9t) dt

A: To find the following integral.

Q: Find the area of the region pictured below that is bounded by the functions v(y) = 3y – 6, u(y) =…

A: The region bounded by the curves  and .The aim is to find the area of the region by integrating…

Q: Determine the value of the definite integral that describes the shaded region above. 1. 9dw

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Q: 10 -9 -8 -7 -6 -5 -4 10+ H Cu Ha STI -10 1 2 3 4 5 6 yak x Write the standard equation for the…

A: The standard equation of hyperbola with transverse axis parallel to x axis is

Q: 2 x(x²-1) dx x²+1

A: To evaluate the following integral.

Q: Find for y=cos ²(9xt-8). dy dt dy dt

A: )   Is givenWe want to find the derivative

Q: how that the function is increasing on the given open interval. (Enter your answers as a…

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Q: 2 The decibel level, D, of sound is given by the equation 10 (1).» where I is the intensity of the…

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Q: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

A: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

Q: Convert the following equation to polar coordinates. x=2y² The polar form of x = 2v² is. (Type an…

A: Given,

Q: a. What is lim g(x)? Choose the correct answer below and, if necessary, fill in the answer box to…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: 2. True or False: If the parametric curve x = a(t), y = b(t) satisfies d'(5) = 0 and b' (5) = 1 then…

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Q: Evaluate the following improper integral. So e 0 e-bt sin (at)dt, where b=2, a=1 Round your answer…

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Q: Find ∫∫R x^2dA where R={(x,y)∣9x^2+4y^2≤36

A: To find the double integral , where R is the region defined by  ythe ellipse defined by The…

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-4). f(x) = 3x² + 6x – 13 g(x)…

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Q: Find ∫∫R(5x+2y)dA where R is the parallelogram with vertices (0,0), (-2,-4), (1,3), and (-1,-1).…

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Q: Let f(x)=√x. Use linear approximation at x = 27 to approximate f(27.1) 27.1. = The equation of the…

A: f(x)=  , x=27

Q: Find the indicated term of the binomial expansion. 13 (u³ +21²) ¹³₂ ; tenth term

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Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: c. Which of the following expressions is equivalent to ln (10x²) for all values of x, including x <…

A: The given logarithm expression .The aim is to find the equivalent expression.

Q: (3, 7/7). 2 Plot the point whose polar coordinates are (3,

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Q: Find the general solution for the following linear homogeneous recurrence relations: (a) an = 2an-1…

A: The objective of the question is to find the general solution for the given linear homogeneous…

Q: dr Evaluate the integral: 2² (A) Which trig substitution is correct for this integral? Or=2 sin(0)…

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Q: Suppose that the variables x and y are related by the implicit equation X V = -3.3x 1.8 ln(x)+2.8y—…

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Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

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Q: The domain of f(x, y) is the xy-plane, and values of f are given in the table below. Find fe grad…

A: To find the line integral of a scalar field f(x,y) over a curve C, the general formula is:Segra…

Q: Find the absolute max. and min. of each function y=√4−x^2, (−2,1)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: Find the average rate of change of the function over the given intervals. f(x) = 12x³ +12; a) [5,7],…

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Q: Which of the following are solutions to the following integral. X 3x² - 12x □ Check ALL that apply…

A: The given integral is x/(3x2-12x).

Q: was $525, how much mo 10. Nick, an attorney, divided his $15,000 bonus check among three different…

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Q: Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate…

A: We have to find the number of calculators produced from the beginning of the third week to the end…

Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

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Q: Find the position and velocity of an object moving along a straight line with the given…

A: The integration of acceleration function gives velocity