9. (True/False) If f(x,y) is a continuous function on a closed, but unbounded set D, then f(x,y) cannot achieve a local maximum on D.

Q: Find the critical points. y(x) = 15x¹3/5 - 39√√x A (Use symbolic notation and fractions where…

A: The given equation is;  y(x)=15x13/5- 39 sqrt(x).

Q: Use the figure, which shows two lines whose equations are y₁ = m₁x + b₁ and y2 = m₂x + b₂. Assume…

A: The solution is given below

Q: Consider the following equation. y Find any intercepts. (If an answer does not exist, enter DNE.)…

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Q: M8 k=1 сos лk Let ak > 0 represent the magnitude of the terms of the given series. Identify and…

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Q: E Homework: Section 5.2 Homework Assignment • 1 f(x)dx=2₁] Suppose f(x)dx=2, | f(x)dx = 3, and and 2…

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Q: 2x += 2 +플) Describe the phase shift of g(x) = -3tan 2x + an(2x What phase shift? O right left right…

A: Given problem:- Describe the phase shift of g(x) = - 3tan(2x + π/2)

Q: Find the general solution of the following differential equation. y" + 2y + 5y = 0 NOTE: Use c, and…

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Q: In some manufacture company, which sales certain product, the price function p and the cost function…

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Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

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Q: (c) I² +4 3x³+4x² - 4x [3 -dx

A: Here we have to find the integral.

Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2?). Enter your answers…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: The equation is given as , y=49-x2y=x+7 find the area of the region.

Q: Find u - v, 2(u + 3v), and 2v - u. 8 u = (6,-8, 4, 3), v = (-2,3-3-1) (a) u-v=

A: Please refer to the image below

Q: Questions Identify the two regions that do not have a positive slope. What are they and what do they…

A: Given the graph distance time graph of a function. To find whether the slope is positive or…

Q: Solve 8 sin (7x) = 7 for the four smallest positive solutions

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Q: Find the critical points of f(x) = x - x and apply the Second Derivative Test (if possible) to…

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Q: 3 1 21 0 0 25110 3 7 2 2 -2 6 13 5 -4 10 10 30-4 01-10 2 0001-2 0 0 0 0 0 (a) Find the rank and…

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Q: If 0 = sec (0) csc(0) = - = tan(0) cot (0) = = 7 -T, enter exact values for each function. 4 7000

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Q: Find the area of the region that lies inside both curves. r = 2 + cos(8), r = 2 - cos(8)

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Q: 1. Find the solution of the differential equation. y’’-2y’+y=0 theme: repeated roots; order…

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Q: -8-7-6 - 5 -4 -3 -2 -1 8 7 6 5 4 3 2 1- 0 ل -3 نا 2 3 4 5 6 7 8

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Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −8, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

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Q: Consider the following autonomous first-order differential equation. =y² - 2y dx Find the critical…

A: Given differential equation:- dy/dx =y2 -2y

Q: 52+45 lim x 9 x² + 13x + 36

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Q: An open-top storage box with a square base has a capacity of 32 m². Find the dimensions that will…

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Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: A tree grows at an angle of 3° from the vertical due to prevailing winds. At a point d = 43 meters…

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Q: Explain why S is not a basis for P₂. S = {1, 6x, -2 + x²,4x} O S is linearly dependent. OS does not…

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Q: et f(x) [8− x − x² if x ≤ 2 12x - 5 if x > 2 Calculate the following limits. Enter "DNE" if the…

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Q: Verify the identity. cos(+ x) + cos(-x) = = COS X X- cos(+ x) + cos(-x) = 2 cos ( 2 COS ( + + x + =…

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Q: Find the interest rate needed for an investment of $10,000 to grow to an amount of $13,000 in 6…

A: I have appended the formula used in the solution part of the question

Q: 31) Which of the following BEST describes the application of Cavalieri’s Principle?   a.) The volume…

A: Given ; Cavalieri’s Principle FOR 3D is states that in two 3D figure if they have same Height and…

Q: Find the x-coordinate of the centroid of the area bounded by y (x² − 9) = 1, y = 0, x = 7, and x = 9…

A: Given: yx2-9=1

Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

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Q: sin¹(x)dr

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Q: 2. Find the gradient of the following functions a. F=x²sin(5y) b. F = x¹yz c. F=x³exy + ²x

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Q: Determine the quadrant in which x lies if tan x 0. Οιν || 1 ||| x lies on an axis

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Q: 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: Question 11 For the function f(x) = 2²-25 find the following a. the x and y intercept b. the…

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Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: Find the extrema and possible points of inflection (if any exist) of f(x)- In x X

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Q: 12) 3 Find the first derivative of f(x)= -2 3x

A: The objective of the question is determine the first derivative of the given function.

Q: Determine the length of the parametric curve given x = 6 sint, y = 6 cost, ㅠ 0 ≤ t ≤=.

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Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 4) = 1, y = 0, x = 4, and x =…

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Q: Find the solution of the differential equation. 2y’’+2y’+y=0 theme: repeated roots; order…

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Q: a B Find: b = Note: Triangle may not be drawn to scale. Suppose a = 10 and A = 60 ° C= C B = b A

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Q: 4. (True/False) Two lines in three-dimensional space either intersect or are parallel.

A: We have to give explanation about the given statement either it is true or false.

Q: Find the solution of the given initial value problem 88y" +19y" + y = 0, y(0) = -5, y'(0) = 6, y"(0)…

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Q: It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars…

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Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. A = 100°,  a…

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