Given the function h(x) = 3x 1 find the inverse function h¹(x). " 2x - 1'

Q: Determine whether the alternating series converges. 5 ln k k Σ( -1)*. k=3

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Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

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Q: Find all the local maxima, local minima, and saddle points of the function. 6 x² + y²-1 f(x,y)=- 2…

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Q: 6. Convert from cylindrical to rectangular coordinates (a) (4, π/6, 3) (b) (8, 3π/4, -2) (c) (5, 0,…

A: Solving the problem

Q: K Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Set the vectors u and v with the points so that v.u 5-¹ ( ) = = |o||૫| 3 cos

A: To find vectors u and v that satisfy the given condition, we can start by considering the…

Q: 1 1 21. cos + cos + cos +.. 1 - 4

A: Use the nth Term Divergence Test to prove that the following series diverge.cos(1/2) + cos(1/3) +…

Q: 8 Σ 41 k=1 1/K

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Q: Slus 21 1 e - 15. lim 1-0 sin t

A: according to bartleby guide line we do only first part of multiple questions.(15)

Q: 1 Find the area between the graph of x = y² and the y-axis on the interval [1, 4]. -0.5 3- 2+ 1 0…

A: Given that ,and the graph isFind the area between the graph of and the y-axis on the interval .

Q: The area below the graph of f(x) = and above the x-axis, on the interval [0, 8], is to be rotated…

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Q: The Laplace transform of an ODE, Y (s) has been found to be: e S 1 2 1 s² + 1 2 s² + 4 - S +3 (s −…

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Q: given the differential equation (cos x + 2xcos²y) dx + (6y2 - x²sin 2y) dy

A: The given differential equation is:

Q: Assume that the recursively defined sequence converges and find its limit. a₁ = − 42, an+1 = √√42+…

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Q: find area enclosed by y=4/x, y=16x,y=x/16, x>0

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Q: X 1/4 - 1/4 g(x) g'(x) f(x) f'(x) 3 -1/2 -2 1 7 2 1 3

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Q: 3) A metal box is constructed, and it's planned to have dimensions of 120 cm by 50 cm by 75 cm. If…

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Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². + 543-2…

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Q: Convert the rectangular coordinates (-5, -5√3) to polar coordinates, (r, e), where r is positive and…

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Q: B- Find the interval of convergence of the following infinity power series: Σ n=0 n!x"

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Q: 15-28 Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and…

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Q: 51. lim x→1 2. / 1 53. lim x-0+ X 1 55. lim - X 1 x→0+ X X - 57. lim x√x x-0+ 63. lim x¹/x x18 - 1 1…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit is $10…

A: (a) The statement "P(3000) = 60000" means that when 3000 units of the commodity are sold, the…

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: The given integral is (2x3-12x2-79x+11)/(x2-6x-40).

Q: Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x,…

A: We have,    f(x) = √(x2 + y2 + z2 )Point: ( 6 , 2 , 9 )

Q: 1) Find: lim x→ 4 x² - 16

A: We are required to find:

Q: 23. √x dx 25. L sin Ꮎ dᎾ J0/6 dx 24. fx-2/36 ·L₁7 dx 26.

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Q: (a) Give the intervals of increase and decrease of f(x). Note: Use the letter U for union. To enter…

A: Given: To Find:  (a) To give the intervals of increase and decrease of .(b) To give the local…

Q: 2. Find the angle between the pair of planes. I 1:x+2y+3z +1=0, 2:3x +2y+z+2=0

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Q: Supppose you lend a friend $100 on January 1st, and in return she o↵ers to pay you back $10 at the…

A: We have to calculate Is the present value worth more than the $100 you leant her?

Q: 10. In quadrilateral ABCD, M and N are midpoints of AB and CD respectively. X is the midpoint of MN.…

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Q: 11, y = (x² + 1)-², y = 2-(x² + 1)-2, x = 2

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Q: Write an iterated integral for da over the region R R described to the right using a. vertical…

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Q: Be sure to show all necessary work in your solutions. Question 1 If cos = with <# < 2x. then find…

A: Using pythagorean identity sine is negative in quadrant IV

Q: please find What is the equation for a sphere that has its center located at the origin (0, 0, 0)…

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: Use the information listed below to solve parts a through h. CITE Suppose that the demand and price…

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Q: Find the measure of in degrees. If necessary, round to four decimal places. 17 12

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Q: 8. Three forces of 5N, 8N, and 10N are at equilibrium. Determine the angle between the two largest…

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Q: Find the area of the region in the first quadrant bounded above by y = √x + 2 and below by y = x.…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to…

A: Explanation of the answer is as follows

Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

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Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

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Q: Given the function below, evaluate and simplify f(a + b). 2x x² + x (A) / (B) a a+b f(x) = (C) 2…

A: The objective of the question is determine the function f(a+b).

Q: Q1/ Using method of least square, fit a relation of the y = ax" to the following data X y 2 144 3…

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Q: 23// The curves y = ax² + bx+c and y common tangent line at the point (1, 0). Find a, b, and c.

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Q: Consider the vector-valued function r(t) = 4t²i + (t5)j + tk. Write a vector-valued function u(t)…

A: Topic: vector valued function

Q: A slice of a circular pizza 10 inches in diameter is cut into a wedge with a 90° angle. Find the…

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Q: Problem 1. Let R be the region bounded by the curves y = (x - 2)² and y = x. Write integrals which…

A: Note: Due to guidelines, I can solve only the first 3 subparts