Solve the following system of equations by graphing. y+ x² = 4 2y+2x²=8 O (-4, -12) O All of the answers listed O (0.5, 3.75) (0,4)

Q: Consider the following limit. 2- X lim X-2 √x + 2 - 2 Simplify the rational expression as much as…

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Q: Evaluate the triple integral of f(x, y, z) = z(x² + y² + z²)−3/2 over the part of the ball x² + y² +…

A: f(x, y, z) = z(x2 + y2 +z2)-3/2.We evaluate the triple integral.

Q: Sketch the graph of f(x)=-3x^3 -4x^2 +6x -2 by following the steps in sketching the graph of a…

A: Here we have given a function:To find:Relative maximum and minimumIntercepts

Q: Evaluate f(3) for the function f(x) = -ex:

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Q: -1.0 -0.5 T/2 201 1.5 1.0 0.5 0.5 1.0 O

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Q: The population Pof a city is modeled by the exponential growth model, P(t) = 12,500e0.03t, where t…

A: Exponential Growth Model : ; where , P0 is the initial population.

Q: 2. The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is…

A: Given : MonthTemperature153257365473580686788887982107211631255To find : The table shows the high…

Q: Let F = (5x, 2y, 6z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

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Q: Confirm that the integral test can be applied to the series. Then use the integral Test to determine…

A: Given that,         Since, is a posiitve and decreasing sequence. Therefore, the intergral test can…

Q: The rate of change of y with respect to tis 3 times the value of the quantity 2 less than y. Find an…

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Q: Figure 2 shows a solid piece of wood in the shape of a triangular prism of length y cm. The…

A: NOTE: Refresh your page if you can't see any equations..Part(c)The volume is given by

Q: A solution to the following set of linear equations in two variables is the ordered pair: x+y=5 -2x…

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Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

A: To estimate the volume of the solid using the given rectangle and the specified methods, we can…

Q: Create one question for The Derivative and its Applications grade 12 calculus and explain step by…

A: LEt assume our question is as followA particle is moving along a straight line according to the…

Q: Book Problem 9 Find the volume of the solid obtained by rotating the region bounded by the curves:…

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Q: Rewrite the series −1 + 8 - 27 + ... + 1000 using sigma notation. 10 Ο Ση 10 Ο Σ(-1)+1 αγ Ο Σ(-1) 20…

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Q: The following set of equations has how many solutions? y+ x² = 4 y-x=4 01 O 2 O 0 FL-845 SB Closed…

A: Two curves has n numbers of solution if they intersect at n points.

Q: (d) (i) Show that e²j+z = e²

A: here we have to solve we can write it as                       hence proved

Q: Find Consider the curve (x-2)² + y² dy da in terms of and y:

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Q: Consider the function f(x) = 3²-¹. (a) Fill in the following table of values for f(x). Express…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: A student plans to graph the function y = log-x, using a graphing calculator. If the calculator only…

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Q: Suppose that interest on money in the bank accumulates at an annual rate of 5% per year compounded…

A: To solve this problem, we can use the continuous compound interest formula:A = P * e^(rt),where:A is…

Q: Find the surface area of the paraboloid 2z = x² + y² which is outside the cone z = √x² + y². Ans.…

A: Find the surface area of the parabolioid 2z= x2 + y2  which is outside the cone z= √(x2  + y2).

Q: Why is there a negative sign outside the -(2x+1)e^-x

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Q: ) find the distance between these two vectors you can ignore the translation in c to do this E)…

A: GivenConsider a vectors             a=[1,3]           b=[2,-5]

Q: Find the slope of f(x) = In (3x² + 7) -3 at (8,-1.76). Use a graphing utility and round to the…

A: find the slope of f(x) at (8 , 1.76) .we can rewrite of f(x) as

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter.…

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Q: Calculate the definite integral. √² (6y + xy-2) dx (бу 12y + 2 y Calculate the double integral. √√…

A: In this question , we can find the double integral .

Q: Review View Help E24 ¶ Paragraph 1. f(x)=2x+1 a. f(x+h) b. f(x+h)-f(x) These two problems are from…

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Q: Convert the function f(x)=e" and f(x+2) = f(x) defined in the interval (-1<x<) to the complex…

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Q: Find the interval of convergence for the given series. 8

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Q: If f(x) = [x]] + [-x], show that lim f(x) exists but is not equal to f(2). X-2

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Q: Book Problem 11 Find the length L of the curve x = +81 Set up: L = √1+ (f'(y))² dy where f'(y) = 16…

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Q: State the domain for the function: f(x) = -In(-x+ 1) + 5

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Q: Find the regression line associated with the set of points. (Round all coefficients to four decimal…

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Q: w) Compute ữ x ử >) Show the answer in part (a) is orthogonal to both 7, and :) Find a unit vector…

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Q: Consider the following simultaneous linear differential equations. dx dy -11x + 7y, -21x + 17y. dt…

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Q: со cos inflection points of y=tanx

A: The function is given by:-We need to find the inflection points.Inflection points occurs at .

Q: Use the given graph of the function to find the x-values for which f is not differentiable. Answer…

A: Graph of the function is given, we have to find tha x values for the function is not differentiable

Q: Consider the solution of the wave equation 8² u 8² u c² 81² 8x²¹ where c is a constant, with…

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Q: Suppose a certain country's population has constant relative birth and death rates of 97 births per…

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Q: Consider the differential equation dy - 5dy +6y=5 sinx - 15 cos .x. - dx² dx Given that the…

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Q: The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising…

A: NOTE: Refresh your page if you can't see any equations..The fixed cost is, $360The variable cost is…

Q: Use the properties of logarithms to evaluate the following expression log(405) - logą(5) 3 81 O 12 4

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Q: Consider the differential equation 1 dy 1 x dx x³, x > 0. What do we need to multiply this equation…

A: NOTE: Refresh your page if you can't see any equations..compare this equation with so here we have

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: The given parametric equations  and .We have find the rectangular equation and sketch its graph with…

Q: f (xy + yz + xz)dV, E E = {(x, y, z)|0 ≤ x ≤ 1, −x² ≤ y ≤ x²,0 ≤ z ≤ 1} 194. where

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Q: Suppose the number of bacteria in a culture increases by 50% every hour if left on its own. Assuming…

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