Find the relative maximum and minimum values. f(x,y) = e²x² + 7y²+8

Q: MAT441 CALCULUS II - PROJECT #4 Exercise 4 Find the derivative of In (1) = y³ - ysinh (x²) with…

A: Here logarithmic simplification used is  log(ba​)=loga−logbThanks for your patience!Kindly comment…

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Q: 2. Assume that f is continuous on [1,5] and that f(1) = 20, f(5) = 100. Determine whether each of…

A: 2. 3.

Q: the answer i have for this question 81496800 need to make sure i am right please help

A: any doubt, please ask

Q: (iii) Figure 5.1 shows the mathematical model of a cable which is supported at two points (A and B)…

A: Q.(iii)Solution:The relationship of the x- and y- co-ordinates of a point s(x,y) on the cable is…

Q: Use the washer method to find the volume when the region between y = x + 2, y=2x-1, and x = 0 is…

A: Step 1: To find the volume using the washer method, we integrate along the y-axis. The washer method…

Q: Find the equation for the tangent line to f(x) = x ln(x − 1) at x = 2

A: Step 1: Step 2: Step 3: Step 4:

Q: 2) We need to maximize ▭, which is the price per seminar ticket times the number of seminar tickets…

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Q: 3. h(2) = re* (a) Determine the domain (b) Determine if the graph has any asymptotes, or any kind(s)…

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Q: ample 4.3. Solve the initial value problem y' + y = x³, y(1) = 0. 5. APPLICATIONS X

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Q: ○ f(x) ○ g(x) 1. Compare the relative rates of growth of the following pair of functions and give…

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Q: Given f(x, y) = -x-6x²y²+ 3y3, find 22 fx(x, y) = fy(x, y) = for(x, y) fry(x, y) =

A: Step 1: Step 2: Step 3: Step 4:

Q: Help

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 3. Given the piecewise function, find each function value. (1 pt each) a) f(0)= b) f(12) = (x+4)²…

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Q: For the following function, find the intervals on which the function is increasing or decreasing. 3…

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Q: you don't need to give the equation for (a). I just need help with the other questions

A: For any query with the solution, please ask in the comment box.

Q: 10 logio (10x) dx = 1/10 ○ 31n10 ○ 21n10 ○ 101n2 ○ 10ln3

A: Step 1: ∫101​10​xlog10(10x)​​dxFirst we will convert log to ln. As log10(10x)​=log10e​loge(10x)​Then…

Q: 6 S dx x+3 n = 10 ) 2 A

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Q: A2 It was shown in lectures that the wave equation 22 и Ət² = c2 მ2 J²u u(0,t) = 0, u(L,t) = 0, has…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the best quadratic approximation, Q(x, y) of √9 - 7x + 4y for (x, y) 7x+4y near (0,0), Q(x, y):…

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

Q: Let A, B be two square matrices of the same size over a field F such that AB = BA. Ifv is an…

A: Let's start by understanding the definitions:v is the column vector obtained by stacking the columns…

Q: Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ 0 <π 0 = r = 2…

A: Step 1: Step 2: Step 3: Step 4:

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Q: Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.) r = e r…

A: Step 1:To find the points of intersection between the two polar curves, we need to set the equations…

Q: coth-1 x = tanh 1 x 1 x Prove mathematically that the right-hand side is equal to the left-hand side…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: *Use first derivative test

A: Step 1: Step 2: Step 3: Step 4:

Q: Express the number as a ratio of integers. 1.355

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Q: Use Stokes' Theorem to find the line integral of F = 6yi +3zj + 3xk around the boundary of the…

A: Step 1:Given that, F=6yi^+4zj^​+3xk^  around the  boundary of the surface S given by: z=9−(x2+y2)…

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Q: Test the series below for convergence using the Root Test. Σ (3n+4)* n= n The limit of the root test…

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Q: The solid lies between planes perpendicular to the x-axis at x = -1 and x = 1. The cross sections…

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: Approximate the area under the curve graphed below from x = 3 to x = 6 using a Left Endpoint…

A: thank you for this question

Q: Given f(x, y) = -4x³- xy + 2y², find the following numerical values: f=(0, 4) = fy(0, 4) =

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Q: Differentiate the following function. f(x)=4e-3x dx (4e¯3x) = ☐ 0

A: Step 1:Step 2: Step 3: Step 4:

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Q: find the limit when x approaches 1 for equation (x/x-1)-(1/lnx)

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Q: Use a graphing utility to graph the polar equation inner loop of r = 5 + 10 cos(8) Find the area of…

A: Step 1: r=0  Step 2: Q value calculation  Step 3: puto into formula for area calculation  Step 4:…

Q: Q2 please

A: I can solve the math problems in the image, but I can help you understand them. The image contains a…

Q: Problem 1. (1) The integral 1 So + √√x(1+x)dx is improper in both ways we have discussed in class:…

A: Step 1: Evaluate the first integral Step 2: Evaluate the second integral Step 3: Therefore the…

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Q: Test the series below for convergence using the Ratio Test. n=1 n+2 54n+1 The limit of the ratio…

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Q: Find the area of the triangle having the following vertices: M(-2, 3, 0), N(-4, -1, 2), P(0, -3, 2)…

A: Here are the steps to find the area of the triangle with vertices M(-2, 3, 0), N(-4, -1, 2), and…

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

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Q: 4. 1

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Q: Do the following. (a) Find the values of p for whitch the integral converges. *27de (b) Evaluate the…

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