find the area of a triangle using herons formula. the triangle has lengths of 610.02, 1022.5, 538.54.

Q: Find a general function for an arithmetic sequence with a6=2 and a12= -16

A: To find a general function for an arithmetic sequence with  and .

Q: dN A chemical substance has a decay rate of 8.9% per day. The rate of change of an amount N of the…

A: Solving the problem

Q: What is the rectangular form of the polar equation r = 4sin(0)? Choices: x = 4sin(0), y = 0 x = 0, y…

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Q: d dx [T"]

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Q: up an integral that i represents the arc length of the function y = 5x4 + 5x from the point…

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Q: Find the linearization of the function ƒ (x) = = L(x) ab B (-2)x-3 X -1.1 86 -1.01 a -1.001 √a |a|…

A: The given function

Q: The formula A-740,000 1+5 K 740,000(1+0.05)/14 True represents continuously compounded interest O…

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Q: Let R be the region bounded to the right by the graph of x = cos (9y)+6 , to the left by the y-axis,…

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Q: Draw a sketch of the graph of f(x) = 2√x + 1 − 1. Explain the trans- formations of the graph of…

A: Explaination of the answer is as follows

Q: 5. Determine if the given function f(x)=x²-1 if x ≥ 1 (x+1 if x < 1 is continuous at x = 2?

A: According to the bartleby guidelines we supposed to do the first one of multiple questions kindly…

Q: Evaluate the integral ſ 36-x2 + C 36 dx 2²√36-22 using trigonometric substitution. Note: Use C for…

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Q: 6 5 4 10 3 -2 -7-6-5-4-3-2-1 -1 -2 5 6 1 2 3 4 5 6 7

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Q: 4. Given two unit vectors, m and ñ, and the angle between these two vectors is 70°, calculate (6m +…

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Q: Which equation is the polar equivalent to the equation y = -√√3x? 0 = O 0 = Col 0 0 = 25 0 0 = 5T

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Q: 35. (²00 + 30 dv 37. f(x) dx where f(x) = 18 · 5² √ √ ²2² ²² dz 36. sin x cos x if 0<x< π/2 if n/2…

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Q: For the function g whose graph is given, evaluate the following limits, if they exist. c. lim g(x)…

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Q: R be the region bounded by the graph of y = 5√√x + 3, the x-axis, the y-axis, and the line x = 4.…

A: According to guidelines we solve only first question.

Q: Show that y = √√C-2x² is a solution of the differential equation particular solution that passes…

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Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

A: To compute the surface area of the solid of revolution formed by rotating the bounded region formed…

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 7. R is the…

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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: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) x-1- b. lim f(x)…

A: As per guidelines, At a time only three sub-parts can be answered.Please repost for other…

Q: Points 2₁ and 2₂ are shown on the graph. 5 2 -9-8-7-6 -5 -4 -3 -2 -1 -1 -2 -5 -7 Imaginary Axis 21…

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Q: Solve the problem. A particle is released during an experiment. Its speed t minutes after release is…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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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: 2x Find the derivative of Y = e²ª sin¯¹(x) + ln(x) y

A: y=e2xsin-1x + ln(x)Find the derivative of the given function.

Q: ii. Consider the following differential equation: d²x dx dt² +5+8x = f(x) where f(x) is the input…

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Q: The polar equation r = 6 sin (40) graphs as a rose What is the length of the petals of this rose?…

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Q: Calculate the definite integral by referring to the figure with the indicated areas. 0 0 ff(x)dx…

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Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

Q: State the domain for the function: h(x) = -4*-1 O (0,00) O (-∞, -1) (-00, 0) (-00,00) O l

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 9. R is the…

A: We are required to find:

Q: 15. 13. fcot³ x 9-12, evaluate the integrals. 11. ftan² x sec¹ x dx tan x sec² x dx In Exercises…

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Q: A volume is described as follows: 1. the base is the region bounded by x = −y² + 12y — 17 and x = y²…

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Q: x²-49 X-7x²-7x 2. Evaluate lim: 3. Evaluate lim √x+1-3 X-8 x-8

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Q: 2) Apply the divergence test and state what it tells you about the series & [KO K² + k + 3 3K²+1

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Q: At which of the five points on the graph in the figure are first and second derivative both…

A: We need to choose the point at which both 1st and 2nd derivative is positive.

Q: Find the derivative of y with respect to t. 1/ 3 y = sec 3t4 0<t<

A: The given function .To find the derivative function .

Q: Find the definite integral 0 8 √√√9-9x² Provide your answer below: dx.

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

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Q: The terminal ray of angle drawn in standard position passes through (2, -3). What is the value of…

A: given the terminal ray of angle  drawn in standard position passes through (2,-3)

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: As per the guidelines, I am providing the solution to the first question.

Q: The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at…

A: Given, the graph of the function f(x). We have to select all the true statements about the…

Q: Question 1 Let 0 = cos¯¹(-³) where 0 ≤ ≤. Find the exact value of 0.

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Q: Use the chain rule to find z = sin(8) dz дz and əs at r = st, 8 = s³ + ³

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Q: Consider the graph of the function g(x) given belo g(x) -2 -4- 2 0 -2 2 -N X 4

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Q: Graph the function f(x) = 2x-3. State the domain, range, and horizontal asymptote:

A: Given :- To find  :- Graph the function , The domain, range and horizontal asymptote of the given…

Q: Suppose the line tangent to the graph of f at x = 4 is y=6x + 1 and suppose y=2x-3 is the line…

A: