Question Use the trapezoidal rule to calculate the absolute error of ₂(x² + 7) dx using 4 subintervals. Enter an exact value. Do not enter the answer as a percent.

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

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Q: Find the interval(s) of numbers that are at least a distance of 9 away from -3. Enter solution as an…

A: Let the numbers are x

Q: Give a vector parametric equation for the line through the point (−4,2) that is perpendicular to the…

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Q: Are the lines x = 10+3t, y = 9-2t, z = 3-11t, and x = : 4-4t, y = 5—t, z = 9+5t parallel? Yes No

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Q: Find f'(x). f(x) = 9x-8 4x+9

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Q: (b) Is the function f(x)=z+z+1| continuous at every z? Is it differentiable at every z? Sketch the…

A: Explanation of the answer is as follows

Q: Suppose a tank initially contains 1000 gallons of water and that the rate of change of its volume…

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Q: how do we set the partial fraction decomposition?

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Q: 3π Find the area of the sector of a circle with diameter 36 feet and an angle of radians. 5 Round…

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Q: Consider the following. u = (-1, 7,-4), v = (-6, -5,9) (a) Find the projection of u onto v. (b) Find…

A: Please see the below picture for detailed solution.

Q: Consider the ODE (a) The general solution y(t) of the corresponding homogenous ODE is Yh(t) Osin(at)…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is

Q: The linear approximation at and where B is: = 0 to sin(4x) is A + Bx where A is:

A: NOTE: Refresh your page if you can't see any equations. . the given value of x is x=0 so the…

Q: Find the degree 2 Taylor polynomial, P₂(x), for the function f(x) = (3x + 8)4/3 centered at x = 0.…

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Q: h response xk and input u = 8k is modelled by the difference e

A: Solution of the problem as follows

Q: Determine whether the plane passes through each point x + 3y - 2z - 1 = 0 (a) (-7, 2, -1) O Yes O No…

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Q: Find and classify the critical points of f(x, y) = x³ + 2xy + 3y². Local maximums: Local minimums:…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Sketch the region enclosed by the curves y = 4x and y = x² - 21. List the points of intersection of…

A: see below the graph and below

Q: Question Find the actual value of t 1 dx, then 3√x approximate using the midpoint rule with four…

A: Here we have given a definite integral now we have to solve this by using midpoint rule. And also we…

Q: Every year a lake becomes more polluted, and 2% fewer organisms can live in it. If in 2010 there are…

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Q: 3. Consider the curve defined by xy² - 2x³ = 2 for y ≥ 0. a. Find dy Write an equation for the line…

A: Topic:- application of derivatives

Q: x) [in(3x²-36)]². Then f'(x) = A. 12x In (3x²-36) 3x²-36 O A. O B. O C. O D. O E. 2 In (3x²-36)…

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Q: and the first three nonzero terms of the Taylor series for sin a centered a se the nonzero terms in…

A: Topic:- calculus and algebra

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Evaluate the limit analytically (that is, without using a graph or table). x² + 11x + 24 x + 3 lim…

A: We solve the given limit by factoring numerator and after that simplifying common factor with…

Q: er the following f(x) = x³ ) Make a sign diagram for the first derivative. Inctio 3/5

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Q: x²y² Find the point on the paraboloid z = + that is closest to the point (3,0,0). 4 25 Hint: Let (x,…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: this is the problem of integration here function is given we have to integrate it ∫x3(x4 +4)2dx…

Q: 6. S x³ √9+ x² dx x = 3 tan 0

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Q: Find the general solution for the problem in the form y=yc+yp y'' - 3y' - 4y = 2 + 6t + cost

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Q: Find the vector component of v = (4, -1, 7) along b = (1, 4, -8) and the vector component of v…

A: For the solution follow the next steps.

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t…

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Q: Let g and h be functions defined by g(x) = 2× · f(x) and h(x)=3x² + 4x-In√x. Part A: Find g'(8).…

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Q: At the beginning of an experiment, a scientist has 260 grams of radioactive goo. After 75 minutes,…

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Q: Graph the solution to the following system of inequalities. 3x+4y2-16 -2x+3y<-6 Then give the…

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Q: Let y = sin(5x). If Ax Ay ~ = = Find the percentage error error = 0.2 at = 0, use linear…

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Q: For the function f(x) two periods. Enter the exact answers. 2 cot a determine its stretching factor…

A: We can solve this as follows:

Q: Find and simplify dy dx y = sec³ (sin(e³x))

A: Topic = Derivative

Q: In 1940, there were about 10 brown tree snakes per square mile on the island of Guam, and in 1993,…

A: Given data, No. of snakes in 1940 N0 =10 per sq. mile No. of snakes in 1993 N=10000 per sq. mile…

Q: 1. a) Using the Rectangular Approximation Method with 4 rectangles, estimate the integral In x dx to…

A: We need to estimate values.

Q: (1 - cos x)dy + (2y sin r - tanr)dr = 0

A:

Q: ASK YOUR TEACH The sum of the perimeters of an equilateral triangle and a square is 17. Find the…

A: Given data÷ Sum of perimeter of equilateral triangle and square is 17. We need to find the…

Q: A particle moves according to a law of motion sf(t), t2 0, where t is measured in seconds and in…

A: As per guideline we can solve maximum three subpart you can repost remaining subpart

Q: Differentiate (logarithmically) dy/dx, if y = ln(cos x)/2x^cot(3x)

A: given  y = ln(cosx)/2x^cot(3x)  dydx= ddx(ln(cosx)/2x^cot(3x)dydx ={ 2xcot(3x)ddx(ln(cosx) -…

Q: Find a particular solution Y(t) of y"" — 2y" — y' + 2y = t

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, write the…

Q: 5y" + 4y - 4 = t sin t

A: Let's solve given diffential equation.

Q: Differentiate the following function. 3 y=xaex dy CX

A: We know, d/dx(xn)=nx(n-1), for any real number n  And d/dx(ex)=ex

Q: 1. Use the graph of f in the given figure to do the following: (a). Find the value(s) of x in the…

A: Given Graph:-

Q: For y=f(x)=2x3​, x=4​, and Δx=0.05 find   ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​,…

A: We have given  y=fx=2x3 x=4 and Δx=0.05 (a)   Δy= fx+Δx-fx         Δy=f(4+0.05)-f4…

Q: 3. Find a particular solution Y(t) of y" — 2y" — y' + 2y = e²t

A:

Q: 2. Find a particular solution Y(t) of y"" — 2y" — y' + 2y = t

A: see below the answer and calculation