Use the Rectangular Approximation Method to approximate the area of f(x)=³ on the interval [0,8 with 4 rectangles, using the middle of the rectangles. 992.00 O 1600.00 1024.00 576.00

Q: What is the reference angle of θ if θ = –137°? A 43° B 47° C 137° D 223°

A: Explanation of the answer is as follows

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

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Q: 15, Suppose a company has fixed costs of $1200 and variable costs per unit of 16x + 1620 dollars,…

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Q: Solve the following differential equations dy dr² dy -9x+24y=0, y(1)= 1,y(1) = 0 dx

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Q: he graph of f(x) = ax² +bx+c where a, b, and c are constants, passes through the (0,1) and is…

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Q: VIII. Find the equation of the plane with the given description. 1. Passing through P = (2,-1, 4), Q…

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Q: Evaluate the integral See ex -2 dx Note: Use an upper-case "C" for the constant of integration.

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Q: Use the fact that tan x-x+²+25+12+ for (x) < to find the first four terms of the series for In(cos…

A: The series expansion of tanx⇒tanx=x+x33+2x515+17x7315+.....

Q: Find f(x) by solving the initial value problem. 5 f'(x) = 1 +e²+ = f(1) = 7+e f'(x)=1+e*+

A: Given: f'(x)=1+ex+5xf(1)=7+e We are required to find: f(x)

Q: Tutorial Exercise Evaluate the integral. Step 1 [₁ 10 sin²(x) cos³(x) dx Since [10 10 sin²(x)…

A: Consider,

Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

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Q: e = exp(1) is called the exponential function. Which of the following are true?

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Q: Evaluate the improper integral or state that it diverges.

A: We need to evaluate the following integral: ∫-∞-48x3dx This can be computed as follows:

Q: What is the domain and range of the following function? 34. y

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Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

Q: Find the indefinite integral. x³ x² - 6 4 dx

A: The given integral is x3/(x4-6).

Q: Evaluate the integral. TT/2 [*¹²7 cos²(0) do de

A: NOTE: Refresh your page if you can't see any equations. . use the formula: cos2x=1+cos2x2

Q: 1. A table of values of an increasing function f is shown. Use the table to find lower and upper…

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Q: If y(t) = -² -1 and a(0) = 1, then d(t) = -2t + 1. false true

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Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: Given one form a line, match it with its equivalent equation in another form. x = -t { y = 1 z = 1+…

A: x=-ty=1z=1+t

Q: The federal tax rate for heads of household is given in the graph shown to the right. Use the graph…

A: We are given a graph of a function rx.We need to find the following limits:limx→8297-rx,…

Q: Q6 Use the graphs below to fill in blank. Write DNE" for Does Not Exist" or NEI" for Not Enough…

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Q: 3) Find the equation of the osculating circle of the standard parabola y = x² at its vertex.

A: To find the equation of the osulating circle of standard parabola y=x2 at its  vertex

Q: In a particular city, taxicabs charge passengers $2.20 for entering a cab and then $0.50 for each…

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Q: Find the area of the shaded region. NO y=0 2 2 y = x^3 - 4x^2 6 8 HH 10

A: The equation of the curve is y=x3-4x2 and y=0

Q: Evaluate the integral. (Use C for the constant of integration.) [si sin³(y) cos(y) dy

A: NOTE: Refresh your page if you can't see any equations. . use the formula:  sin2x=1-cos2x

Q: What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by…

A: a=&lt;1,-3&gt;, b=&lt;-1,2&gt; Find 4b-5a

Q: f f(0) = - = sin(1-0) Sketch the graph of f(0) = -

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Q: Evaluate sin (‡) dxdy- -π/2 cy² 1

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Q: Solve the following differential equation y"+y' = sec(x).

A: We have,     y'' + y'  = sec (x)

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 7y sin (2x)

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Q: Evaluate the given definite integral. -23 125 th In x

A: let D=∫123lnxxdx

Q: 2. (By partial fractions} Answer: In |x|- 1 x+1 +C ·x² + 3x + 1 x(x + 1)² dx

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Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: A. Use the chain rule to find and as functions of x, y, s and t. Əs Ət əz Əs əz Ət = B. Find the…

A: We have, z=(x^2*sin(y)), x=(5s^2−3t^2), y=(−2s*t)

Q: What is an antiderivative of the function x + 2xln(x)? x²ln(x)+2023 xln(x) +2023 In(x) + x xsin(x) +…

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Q: Suppose a company has fixed costs of $400 and variable costs per unit of x + 1350 dollars, where x…

A: Suppose a company has fixed costs of $400 and variable cost per unit of  1516x+1350 dollars, where x…

Q: If A(t) denotes the annual rate of world consumption of oil at time t (with t=0 corresponding to…

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Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

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Q: week 5 discussion Section 4.1 #36 find the inverse function. those illustrated in Example 2, Check…

A: We have   f(x) = 3/4 x

Q: Let f(x, y) = x+y+xy. d First, find g(x, y) = f(x,y). Then, calculate g(2, 3). (Enter the exact…

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Q: 2. For the vectors a = (1, 2, 3), b = (2, 1, 3), and c = (1, 1, 0), show that the following is true:…

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Q: 6. y cos5 (sin(2x)), y'=?

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Q: Fill in the missing entries of the matrix, assuming that the equation holds for all values of the…

A: Two matrices are said to be equal if they have the same order and the corresponding elements are…

Q: Michelle invests in a savings account that pays 8% interest compounded monthly. What is the APY for…

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Q: Divide. 4+i -2+3i Enter your answer, in standard form for complex numbers, in the box. 4+i -2+3i ||

A: Given

Q: 2π A sector of a circle has a diameter of 8 feet and an angle of Round your answer to four decimal…

A: We have, θ = 2π/3  Diameter (2r) = 8 r = 8/2 = 4

Q: Find the angle between the vectors (3, 1, 1) and (2, 0, 1). Use a calculator if necessary. (Round…

A: We know that the angle between two vector formula cos(theta)=(u.v)/(|u|•|v|)