Sketch the region of integration and change the order of integration. *9 *√81 - y² 1₁ 0 -9 JO f(x, y) dx dy f(x, y) dy dx

Q: Maximize subject to the constraints 10x X y P = 4x + 15y+z y + 7z ≤ 20 3z ≤ 36 + 8y x 20 y 20 z 20…

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Q: log 6y (8x - 3)° 0/8+5x

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Q: Find the derivative of the given function. Use all lower case letters. ax² + b C h'(x) = h(x) =

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Q: Find the spherical coordinates (p, , 0) of the point with the rectangular coordinates (0,6√3,6). Use…

A: Given rectangular coordinates:- 0,63,6

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=6ey-3ye* Select…

A: The function is given as , fx,y=6ey-3yex find all local maxima , local minima and saddle points.

Q: [3t 3t sin(t) cos(t) dt

A: we will find the required.

Q: 0 The following limit results in when you first try to plug in the limit value. 0 Complete the steps…

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Q: 5. Determine if the following series converge conditionally, converge absolutely, or diverge.…

A: According to the guidelines,  I can answer maximum three subparts of a question. Since there are…

Q: Find the interval of convergence of Σ(-1)". n³ (x + 3)" n=2

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Q: Extra Problem: Consider the curve given by √x + √y = 1 for x > 0 and y > 0. For a point (2o, 3o) on…

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Q: (d) Write a formula for the inverse of the function in part (c). Explain its mean- ing, and use it…

A: We can solve it as follows

Q: Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x)…

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Q: Example Describe the surface whose equation in cylindrical coordinates is z.= 3r. Solution The…

A: The answer provided below has been developed in a clear step by step manner

Q: 2. Express the integral as a limit of Riemann sums using right endpoints. Show right endpoints x;…

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Q: We look at the function f(x) = e2x + 4x3 defined for all x ∈ R. (a)  Show that there exists an…

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Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² - 20 = 0. The extrema are…

A: To find the extreme values of fx, y=xy subject to the constraint  x2+y2-20=0.

Q: Use spherical coordinates to integrate f(x, y, z) = 4√√x² + y² + z² over the solid E above the cone…

A: To integrate the function f(x,y,z) over the solid E, we need to set up the triple integral in…

Q: Please help solve this and explain for me. Thank you. The temperature at point (x,y,z) in space…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Find all asymptotes of the rational function    Q(x) = (x^2 - 1)/(x + 2)

A: According to question,Given Function,Q(x)=(x2-1)(x+2)

Q: (a) Show using the product rule that [f(x)g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g(x)h(x) + f(x)g(x)h'(x)…

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Q: The figure shows the power consumption in San Francisco for a day in September (P is measured in…

A: Here

Q: Find 1 x²√x² + 16 J Solution Let x = 4 tan(0), - Thus, we have sec(0) tan²(0) dx. -<6 2 = << . Then…

A: According to question,Given Integral,∫1x2x2+16dx

Q: Prove by strong induction that root of 2 is irrational.

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Q: Find the Taylor series centered at c = -1. 342 3x – 2 f(x) = Identify the correct expansion. 4 Σ -(x…

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Q: problem

A: A linear function is of the form fx=ax+b where a,b are constants. Slope defines the gradient of a…

Q: True or false: A function may have more than one absolute maximum value.

A: We have to check given statement is true or false.

Q: Use the equation y = x² - 17x + 72 to answer the following question. For what values of x is y ≥ 0?

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: NOTE: Refresh your page if you can't see any equations. the given DE is  compare this DE with so…

Q: | - ا 28 (9 — x²)¹¹/2 dx

A: Follow the procedure given below

Q: (g) Graph y=f(x) and y=f¹(x) on the same coordinate system. -0 -8 1-7 -6 -5 -4 -3 -D 9. 8 74 6- 5-…

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Q: Write the equation of the parabola y = x x² - 6x +14 in vertex form y - k = (x − h)² -

A: y=x2-6x+14we  know  (x-3)2=x2+9-6x

Q: The graph of y=AsinBx has amplitude=​_______ and period=​_______.

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Q: Convert the result to exponential form. The exponential form of log5 6 1.1133 is

A: We have to conver expression into exponential form.

Q: 1 Graph the function by using transformations of the graph of y=. Plot all necessary asymptotes. For…

A: see below the answer and graph

Q: For the function f(x)=3x5-3x + 2x³ +5x² +1, find f''(x), the third derivative of f, and f(4)(x), the…

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloids y…

A: Given paraboloids : y=x2+z2  , y=32-x2-z2

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: d² Find and simplify (f(x)g(x)) = O f'(x)g(x) + f'(x)g'(x) + f'(x)g"(x) + f(x)g"(x) O f'(x)g(x) +…

A: Given query is to find double derivative.

Q: - d the absolute maximum and minimum values of f(x) = x³ − 3x² − 9x + 10 on the interval 41.

A: we will find the required.

Q: a. dy dx π - - y cotx = y² sec² x, given y = -1 when x ==/Q 4

A: According to Bartleby guideline for multiple questions I can answer the first question. Thankyou.

Q: For each of the indefinite integrals below, choose which of the following substitutions would be…

A: For each of the indefinite integrals below, to choose which of the  following substitutions would be…

Q: Suppose the amount of a drug left in the body t hours after administration is mg. Find the rate of…

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Q: Find the area of the region bounded by the curves y = (x^4) −(2x^3) −(x^2) + 2x and y = 10x + 25

A: Given: y=x4-2x3-x2+2x and y=10x+25 To find: Area of the region bounded between the above mentioned…

Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dy dt x²…

A: x2+4y2+4y=73dxdt=10 when x=7  and y=-3d dx(xn)=nxn-1

Q: Suppose that f is a function which is continuous and differentiable. Given that f'(x) ≤ 1 for all x…

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Q: Consider the following. ****** sin(20) Use the substitution y = sin(8) to rewrite the given…

A: To solve the following indefinite integral.

Q: Determine whether Yes О No or not the given pair of matrices is an inverse pair. a 0 0 ob o 0 0 с A…

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Q: Problem #1: In a murder investigation, the temperature of the corpse was 36°C at 1:30pm and 19°C 3…

A: Solution: Given data, let t = 0(hrs) be 1:30 p.m. T(t) body temperature at time t T(0) = T₀ = 36°C…