If z = 3x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. (Round your answers to three decimal places.) dz = Az =

Q: A price p (in dollars) and demand x (in items) for a product are related by 2x2 - 4xp+70p² = 29,000.…

A: A price p (in dollars) and demand x (in items) for a product are related by       2x2 - 4xp + 70p2 =…

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Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

A: Cost, revenue, and profit are in dollars and x is the number of units.The average cost of a product…

Q: #6: Consider the same system as given in the previous problem: 4xu² + 5yv4 = 9 (2xy(u² - 1²) = 0 It…

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Q: λ x²y"+2xy+(3x² + y= 0, y(-1)= y(1) = 0, (x2+1)3 with eigenvalue A, can be written as a constrained…

A: λ1​≤7π32​Explanation:To show that λ1​≤7π32​ using the trial function z(x;A)=A(1−x2), we'll use the…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: The arc length = 8.352 unitExplanation:

Q: The area of the region enclosed by the graphs of x = y² and y = √√30 x where y > 0 is: 632 70√5 3

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Q: Compute the following integral problems [10.x³-12.x³-5dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Question 6 Provide a rough sketch of the graph of the function y = f(x) with the properties below:…

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Q: SOLUTION If f(x)=5x2 - 1 40 In(x), then 1 f'(x)= 10x 40x 1 + [f 1 + [f'(x)]² p>'(x)]² = - ( 1 10x…

A: S(x) = 5x2 + (1/40) ln(x) - 5

Q: Evaluate the double integral by first identifying it as the volume of a solid. 3 dA, R = {(x, y) |…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 3)Option C is correct answer  4)Option A is correct answer  Explanation:

Q: A company estimates that the weekly sales g of its product is related to the product's price p by…

A: SolutionA)11/5B)$2166.94C)$2276.86Explanation:Step 1: Explanation for question

Q: Calculus I May I please have the solutions for the following? Thank you

A: Answers are given belowExplanation:Step 1:Step 2:Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Hey! Done below. Please ask for further clarifications:)Explanation:1.)     f(x)=cos2x=>…

Q: Q3/ Find the general solution of the differential equation dy 3x2 tan y)+ x³sec2y- = COS X dx 17.10.…

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Q: draw and label diagrams to solve the related rates problem: a traingle has two constant sides of…

A: The objective of this problem is to find the rate at which the area of a triangle is changing given…

Q: Use the function y = 6x from x = 0 to x = 1 and n equal subintervals with the function evaluated at…

A: The given function  from The area under the curve by using Left hand endpoint over the interval

Q: What is the slope of the normal to y = X-2 X+2 *+ at (2, 0)? -4 4

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Q: Suppose that the marginal propensity to save is ds dy = 0.4 1 y + 1 (in billions of dollars) and…

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Q: Hello Continuing with this problem, shown in the picture, where the  parameterization for S was…

A: The area under the given curve is 0 sq. units.Explanation:After the conversion of the variables to…

Q: Evaluate the integral. (Use C for the constant of integration.) Sin(x+ In(x + √x-6) dx x2

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Q: Question 5 Let f(x)=√√4x+1. (a) Find the equation of the tangent and normal line to the graph of ƒ…

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Q: Determine the solution to the following system: 3x+20y8z = 15 20x+15y-7z = 28 6x+5y-4z = 7

A: The solution of the system of equations is:x=1y=1z=1Explanation:The given system of equations is:…

Q: An investor wants to select one of the six mutual funds for the coming year. Data showing the…

A: a)  Conservative Investor:For a conservative investor, minimizing risk is crucial. Therefore, the…

Q: If a ball is thrown in the air with an initial height of 5 feet, and if the ball remains in the air…

A: If a ball is thrown in the air with an initial height of 5 feet, and if the ball remains in the air…

Q: Suppose for a particular commodity, & = 1.7 and that currently 70,000 units are selling for $16…

A: A 1% increase in price decreases the total revenue by $8,030.40.Explanation:Given:Price per unit =…

Q: Show that the sequence (1/nk) nen is convergent if and only if k ≥ 0, nEN and that the limit is 0…

A: The sequence is convergent if and only if k ≥ 0.Explanation:Let us analyze the given sequence step…

Q: Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3).

A: By using the graph of y=f(x) in the accompanying figure to estimate thevalue of .

Q: Please answer these three question using differential equation thank you

A: Please find the attached file for details....Thank you...Explanation:

Q: Problem #2: Given f(x,y) x784xy2, which of the following vectors points in the direction of steepest…

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Q: Complete the parametric equations of the line through the points (3,7,-6) and (-5,-2,-8) x(t) = 3-8t…

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Q: what does z equal?

A:

Q: Does the series converge or diverge? What test do I use to see what value it converges to? What…

A: Here's the solution of the given question. Explanation:

Q: Each week, you have a total of 80 hours to split between x hours of work and y hours of leisure. The…

A:

Q: Answer the following questions for the function �(�)=���2(�2) defined on the interval -6.18,0.57.…

A: answer is given belowExplanation:Step 1: -pi<x<0 Step 2: occurs at -6.18 Step 3: at x=-pi Step…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: (-5, 2, 1) Explanation: Here, given equations of lines are…

Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile…

A: Please refer below for answersExplanation:To find how fast the height (h) of the pile is increasing…

Q: Question 6 Using the definition of the slope of a tangent line to a curve, find the slope of the…

A: a)f(x) =

Q: Let f(x) = -9 + 10x - x³. (a) Find the interval(s) where f(x) is increasing. (Enter your answer…

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Q: +a2+C √ √√a² + u²du = ½ (u√u² + a² + a²]n]u + √u² + a² 1) + T 114

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Q: The region bounded by the curve y = x² + 1 and the line y-x+3 is revolved about the x-axis to…

A: The objective of this question is to find the volume of the solid generated by revolving the region…

Q: Find the volume of the solid lying under the elliptic paraboloid 4 + + z = 1 and above the rectangle…

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Q: ii) xy5/2+x³/2y 12. Point (4, 1). d²y Ex 3. Calculate the second derivative for the following: dx2…

A: The given equations are

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The equation of the plane is3x+7y−8z=40.Explanation:Steps and explanations are as follows:In case of…

Q: Evaluate the integral. (Use C for the constant of integration.) /in(x + √x² =o) dx 6

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Q: Need help with A and B of this equation

A: (A) N′(x)=x23630​ (B) N′(10)=36.3At $10,000 level of advertising, sales are increasing at the rate…

Q: a. If the tank is full, how much work is required to pump the water to the level of the top of the…

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Q: ii) siny+x= y.

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Q: Find the volume generated by revolving the area bounded by y=1/(x^3+8x^2+12x), x=3, x=9, and y = 0…

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