Evaluate 2 x2 y 0-1 1 xyz dz dy dx

Q: Only one option can be true

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Q: Consider the initial value problem y = 3x(y-1) 1/3, y(x0) = Yo. a. For what points (0, 0) does…

A: Step 1:Step 2:18.Step 3: Step 4:

Q: Integrate the function. dx S √x2√32-25 .x>5 О 125x2-25 In X + C x²-25 X V2-25+C 25x +C O In|…

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Q: Indeterminate Limit Problems

A: Step 1: Or   Step 2: Step 3: Step 4:

Q: Is F1 = (yz + e^x−y)i + (xz − e^x−y)j + xy k a conservative vector field? If so, give itspotential…

A: A vector field F is conservative if its curl is zero. The curl of a vector field F = P(x, y, z)i +…

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Q: Evaluate the definite integral. 1 L² x ( 2 √ x + 5 √x) dx 0

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Q: For each limit, verify that the function is continuous on its domain, then use direct substitution…

A: To solve the limits, we will first check the continuity of the functions at the given points, and…

Q: please help find the limit thank you

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Q: please draw the graph and explain it as well along the answer

A: Step 1:Solution-Step 2: Area under the curves is A and B. Step 3:Hence total area under curves is…

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Q: Find the cross product axb   a= (5,7,2), b= (-7,3,-3)

A: Step 1: Identify the formula for the cross product (ex: a x b) of two vectorslet:a and b be vectors…

Q: Using the graphing software application of your choice, plot the following: (a) The 3D plot of z =…

A: Step 1: The 3D plot of z=sin(xy) can be plotted as follows:Step 2: The required parametric plot can…

Q: Question 3 1 pts The limit of f(x, y) = 6x² y 3x4+6y2 as (x, y) approaches (0,0) along any straight…

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Q: assumed that c is a constant such that c > 1. f(x) = In (4x) g(x) = 6 sin (9x) Red Cord: f'(c) Green…

A: Step 1: Step 2: Step 3: Step 4:

Q: eliminate the arbitrary constant

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Q: Evaluate the integral. Se5x cos 6x dx e5x 2 [sin 6x + cos 6x] + C 5x 61 1 61 5x 61 [6 sin 6x - 5 cos…

A: Concept to Solve the IntegralThe integral to solve is:∫e5xcos(6x)dxThis type of integral involves…

Q: 46. Assume that all functions in this exercise are defined on a common interval (a, b). (a) Prove:…

A: Part (a): Prove the principle of superpositionGiven: y1​(x) is a solution to y′+p(x)y=f1​(x)y2​(x)…

Q: Elasticity of Demand for Sports Watches The demand equation for a certain wristwatch is given by x =…

A: (E(ρ))To compute the elasticity of demand (E(ρ)), we need to use the formula for elasticity of…

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Q: What is P(senior)? What is P(not senior and not a business major)? What is P(senior or not a…

A: Given,  business major (yes)business major (No)Totalsenior (yes)216889senior (no)178198Total38149187…

Q: Write each series as a summation in sigma notation. 2 9 3 4 + 5 6 + + 8 7 Answer: + 6 5 OW! CLEAR…

A: Step 1: Identify the relation between the first value added and the first i value given of 1Since i…

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Q: Find the most general antiderivative. S √1-x2 dx 8 sin 1 x - 5 In |x| +C sin-1 x in Ix 8 5 + C O 8…

A: Step 1:As we know that Integration of  1/√(1-x2)=sin-1(x)And integration of 1/x=ln(x) Step 2:As…

Q: Only one option is true

A: Solution-  Examining each statement carefully:(a): This is a direct application of the Mean Value…

Q: Is F1 = (yz + ex-y) i + (xz − e−)j+xyk a conservative vector field? If so, give its potential…

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Q: Question 14 Which of the following functions is NOT homogeneous? - In y) y3 y (ln r 2 e x + y Inxx…

A: Question 14:Which of the following functions is NOT homogeneous?We check each function for…

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Q: Write the description of the piecewise defined function graphed below. Note that the function has…

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Q: For each function below, find its inverse, f¹(x). Identify if the inverse is a function or not. Show…

A: a. for the function f(x)= 4x−3​ /9, replace f(x) with yy= 4x−3​ /9 - swap x and yx = (4y-3)/99x =…

Q: Question 2 1 pts Calculate the unit normal № at time t = 1 of a curve r(t) where v(1) = (0.7707,…

A: We need to find the tangent vector T(1) and the curvature κ(1). Then, N(1) = T'(1) / ||T'(1)||.1.…

Q: Question 1 1 pts Using Simpson's rule for the integral, with four subdivisions, calculate the…

A: Let's go through the complete calculation for the problem, including using Simpson's rule to…

Q: solve the initial value problem.

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Q: If 3x 3≤ f(x) ≤ x² - 3x + 6 for x≥ 0, find lim f(x). - x 3 Need Help? Read It Watch It Submit Answer

A: Given:3x−3≤f(x)≤x2−3x+6 for x≥0 To solve for the limit as x approaches 3, we can use the squeeze…

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Q: Calculate an order of magnitude estimate of the total amount of money spent each year on pizza by…

A: The given values are:Number of people living in New York state (N) = 19,400,000Number of pizza…

Q: find the equation of the line through p (1,3,2) and Q(2,1,1). All answers are integers

A: We find the equation of the line passing through the points P(1, 3, 2) and Q(2, 1, 1) as follows:…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: Question 2 1 pts For the same curve as above, x(t) = t cos(t/2), y(t) = t², z(t) = t sin(t/2), a…

A: Step 1: Calculate acal Step 2: Solve using the formula for A.  Step 3: Use the given correct value…

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Q: 8. Simply the expression exp [In(x²+3x)-2 ln(x+3)].

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Q: 5. If f(x)=√√x and g(x) = x²-1, find the functions (a) fog, (b) gof, (c) fof, (d) go g, and their…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Evaluating Limits: Infinite Limits Evaluate the following limit by analyzing the behavior of the…

A: limx→−31​−​(12x+4)25​=>limx→−31​−​144x2+96x+165​         [Expanding denominator]=>…

Q: There are approximately 2.2 million marriages per year in the US. express this quantity in marriages…

A: The given values are:Number of marriages per year in the US = 2.2 millionNumber of hours in a year =…

Q: Find the given derivative. Dx 2x 1 3 6 + 4 3 x

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