Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,
A: We can find the limit of both the question as below.
Q: The polynomial function f(x) is graphed below. Fill in the form below regarding the features of this...
A: Graph
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Q: 16. Find the volume of the solid formed by revolving the region bounded by the following equations a...
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Q: 5" i) E 2"+1 п n=0
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Q: The sec?ytanydy 4 + tan²y is equal to In(4 + tan?y) + C A. 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) +...
A: LetI=∫sec2ytany4+tan2ydySubstitute , u=4+tan2yDifferentiate on both sidedu=ddx(4)+ddytan2ydu=0+ddyta...
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A: Given :
Q: sinødø The is equal to cos*Ø tan30 А. +C 3 sec³ø В.- + C sin³Ø C.- +C 3 cos³Ø D. +C 3 E.None of the ...
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Q: 1. Given y = log, 256. The value of y= 4 ÷ 2. If log(x + 8) = 3, then the value of x is 1 3. If log,...
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Q: 1094 26. A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has...
A: 26. initial temperature a = 425 F time t = 15 minutes final temperature y= 200 F exponential func...
Q: A rectangular playground is to be fenced off and divided in three parts by two other fence parallel ...
A: To find the dimensions of the playground.
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Q: The function below is an evaluation of which integral? * 3 (z° + 16) +c 48x3 Vo2 + 16 dæ 16 da Optio...
A: Since you have Posted multiple questions as per guidelines we can solve only one question at a time,...
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A: Check series convergent or divergent. By using comparision test.
Q: 3x3-3 Evaluate lim 4x3 – 5x +7
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Q: Find the interval of convergence of E27" (x – 3)3n+2 n=0 (Use symbolic notation and fractions where ...
A: Giv: Limit equations is given
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Q: 2x – x3 1. Evaluate dx. (x – 1)² (x² + 1) 2. Use the previous item to determine if the improper inte...
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Q: Consider the following functions. f-((-3,-2), (2, 0), (1, – 1), (–2, –5)} and 8 = ((5,0), (0, 1), (1...
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Q: Initial value Problem : Find the particular solution given the initial values in explicit form y' = ...
A: Given differential equation, y'=yx+(2x3y)cos(x2)⇒yy'-y2x=2x3cos(x2).....(i)
Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 9), y(0) = 0 y
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Q: Evaluate the following integral xVx + 1dx 5/2 (x+1)^(2/5) -2/3 (x+1)^(3/2)+c 2/5 (x+1)^(5/2) + 2/3 (...
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Q: z sin(2- 32)+cos(2 - 3a)+c | 4x cos(2 – 3x) dx 4x cos(3 3r) dx Option 1 Option 2 |4 cos(3- 3z) dr 4....
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Q: Evaluate | (3t +t?) sin(2t) dt 1/2 (3t+t^2) cos(2t)-1/4 (3+2t) sin(2t)+1/4 cos(2t)+c 1/2 (3t+t^2) si...
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Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)
A: This question is based on application of integration.
Q: A box with a top is constructed from a piece of 200-cm by 400 out and the flaps are folded to make a...
A: Given: - A box with a top is constructed from a piece of 200 cm by 400 cm cardboard. The shaded regi...
Q: 5. (a) Find elementary matrices E; (avoiding ones that swap rows) which will row reduce the matrix 1...
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Q: . Designing a Norman Window A Norman window has the shape of a rectangle surmounted by a semicircle ...
A: I am attaching image so that you understand each and every step.
Q: the figure attached, an equilateral triangle is inscribed in a circle. How many times greater is the...
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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...
A: Given :x=2yx=0y=9rotate about x=7
Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you no...
A: Taylor polynomial
Q: Suppose F (x, y) = (2xe-", 2y – a²e="} (a) Find a scalar function f (x, y) such that F = Vf (b) Use ...
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Q: Determine the equation of the tangent to each curve at the indicated value. f(x) = (-x^3+ 2)(4x^2- ...
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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...
A: This question is based on gradient of function.
Q: Pendulum Problem Calculate the speed of the pendulum with respect to the x axis. Show solution using...
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Q: Evaluate the following integral * xVx + 1dx 5/2 (x+1)^(2/5) +2/3 (x+1)^(3/2)+c O 2/5 (x+1)^(5/2) + 2...
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Q: . (Subsonic flight) The efficiency of the engines of subsonic airplanes depends on air pressure and ...
A: y'(x) ∝ ydydx = -k y(Pressure decrease with moving above sea level)∫ dyy = ∫ k dxln y = -k x + ln Cy...
Q: Consider f(r, y) = 3r² – 4y and U = cosa î + sin r î. Find the directional derivative of f in the di...
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Q: The trough shown below is full of water. How much work does it take to pump all of the water out of ...
A: This question can be solved by applying the concept of Work done=∫F.ds
Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x - 4xy + 3y -...
A: f(x,y)=2x2-4xy+3y2-4x+4y+5fx=4x-4y-4consider fx=0⇒4x-4y-4=0⇒x-y-1=0⇒x-y=1 fy=6y-4x+4consider fy=0⇒6y...
Q: (16 In 2005, the summer uille Jarnalhad Il0,00 subsciptiou. The number of subacriptrons Sibaeah 8/ e...
A: NOTE: Refresh your page if you can't see any equations. . the exponential function is given by here...
Q: Find the points on the surface z = xy + 81 closest to the origin. The points on the surface closest ...
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Q: PART II. Solve the following, Show the necessary solution= 4. Find the fourth term in a proportion i...
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Q: children is based on the ratio of the child's weight to that of an average adult. The average adult ...
A: We will find how much a child should take for his medication.
Q: A dilation has center (0,0). Find the image of the point L(3,−7) for the scale factor 8. L'=
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Q: lim -Vx + +sin(x)cos(x) 1+In (x)
A: Topic:- limits
Q: f(x + h)- f(x) Find and simplify the difference quotient h#0 for the given function. f(x) = Question...
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Q: Evaluate the following limits a) limx-0- 5 b) lim, 5 c) limx-o
A: limx→0-5x2For x approaching 0 from the left, x<0 ⇒ x2>0,The denominator is a positive quant...
Q: a dV E where E is bounded by the cylinder a? + y? = 9, 0 0.
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Q: x = -30°, cos 2x = 1 - 2 sin2 x 1 + 2 sin 2 x 1 - 2 sin 2 x 1 - 2 sin x 1 + 2 sin x
A: This question is based on Proving a Trigonometric equation.
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- Find the parameters of the linear model using the least squares method, with the independent variable being the period and the dependent variable being sales. Which of the following is the constant term (a) of the linear model?The position of a particle x(t) on an axis has been monitored. The results are shown in the following table. By the least squares method, fit the data to a quadratic model: Report the position predicted by the model for t = 10.Use Gaussian elimination with partial pivoting to solve Ax = b.
- The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.1.A box with a square base and open top should have a volume of 50cm3. Using Lagrange multipliers find the dimensions of the box that minimize the amount of material to be used.Find the minimum value of z=5x+7y. Show solutions.
- Find the maximum of U. Find the optimum using the the Lagrangian method: U=x1^(1/2) * x2^(1/2) given 50=5x1+10x2Use Lagrange multipliers to solve the given optimization problem.Find the maximum value f(x,y) = 4xy subject to x^2 + y^2 = 8, then find the corresponding points (x,y) show all work!Fit the function y = A xB by the method of least squares
- A manufacturer has determined that the total cost C of operating a factory is C = 1.5x2 + 45x + 15000, where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) x=? unitsConsider the linear system: Use the Gauss-Seidel method to find an approximation of the solution with precision e = 10−3 and initial approach (0, 97 0, 91 0, 74)tFind the maximum of U. Find the optimum using the the Lagrangian method: U=(x+3)(y+5) subject to 30=3x+2y