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

Q: 2 cos z = 2 cos² (-)- Prove that sin z tan +2 cos z

A: Prove that : sinx tan(x/2) + 2cosx = 2cos2(x/2).

Q: Given the functions f(x) = x² − x and g(x) = 2x − 3, evaluate and simplify the composition f o g.

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Q: 2. Determine the derivative of the function f(x) = 2e* cos³ x. Leave answers in simplified factored…

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Q: Identify the surface defined by the following equation. z² 2 -x² - y² + 25 + 8x - 10y = 45 Select…

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Q: 1) For the given p-series, identify p and determine Whether the series converges. [ K = 1 1 3√73

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Q: 79. For which values of P n² n=1(n³+1)P does Σ converge?

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Q: The region is bounded by the curves

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Q: In Exercises 17-28, use the Direct Comparison Test to determine whether the infinite series is…

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Q: following problem. Find only an appropriate Green's function for the y"(x) + w²y(x) = f(x), 0 ≤ 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: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If val…

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Q: 1) Consider the function z = x² sin(ny) +; xy² a. Find the partial derivatives. b. Find the tangent…

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

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Q: How would you express the equation of a sphere with a center at the origin (0, 0, 0) and a radius of…

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Q: Calculate the iterated integral. [²(6x²y- (6x²y - 4x) dy dx

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Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…

A: The given initial value problem is:

Q: 7. Find the scalar equation of any plane which contains the line 7 = (3,2,-1) + t(3,-2, -1)

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Q: A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is dissolved.…

A: Let x(t) is the number of pounds of salt in the tank after t minutes and v(t) is the volume of the…

Q: c. SET-UP only the definite integral that will give the area of the region bounded by y = x√x² + 1,…

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Q: not

A: Solving the problem

Q: A coroner arrives at a murder scene at 7 p.m. She finds the temperature of the body to be 87.4°F.…

A: The room temperature, =Initial temperature, =Temperature after one hour, =

Q: (3) Compute the value of Ay and the value of dy for the function below; f(x). Let the variable x go…

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Q: Find three positive numbers whose sum is 120 and whose product is a maximum. (Enter your answers as…

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Q: State the domain for the function f(x) = log3(x) - 1: O (-00, 0) O (-∞0,00) O (-∞, -1) O (0,00)

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Q: Question 3. a. Use Cramer's rule solve the following system for x and y b. Let A - ( ₁ = 4 1 x - 2 x…

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Q: 23. (In x)² dx

A: We are required to find:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. 10 9 8- 7- -6- 5- -1 0 N. -3…

A: (i) To estimate the slope of the tangent line to the curve in the following figure.(ii) To estimate…

Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

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Q: lim e(25) X-2-

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Q: (1-x)y' + xy = x(x - 1)²

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Q: Find the slope of the tangent line to x³sin y + y - 4x = 3 when x=0.

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Q: Find the value of x that will make perpendicular to . Give at least two decimal places when…

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Q: 5. Find the magnitude of the resultant force and the angle it makes with the positive x-axis. у л 0…

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Q: f (x) || 2x+5 5x-1

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Q: 5. A certain computer that is purchased today depreciates in value according to the function (t) =…

A: we will solve this given problem:

Q: 5.2(5) PLEASE SHOW YOUR WORK STEP BY STEP!! With the function (shown in the image) Determines the…

A: This is question of calculusHere we have to find differentiation of function .Further calculation is…

Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². in tann 4 3…

A: We know that the area of the region is Area= int_a^b | f(y)-g(y)| dy

Q: Analyze and Construct the graphs of the following functions: For each of them determine: The…

A: Given is the function and we have to table the values, plot it anddetermine domain and codomain.

Q: (b) Describe the relationship between each pair of planes, and determine any intersection: (i)…

A: (i)Here we have given a equations of pair of plane.Now, comparing their coefficients and constants…

Q: Find the integral. 2 sinx X dx

A: We are required to find:

Q: Given f(x)= (a) lim f(x) 4-6- (2-3x x 6 (b) find each of the following: lim f(x) x-6+ (c) lim f(x)…

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Q: 1. The graph of y=f(x) is shown below. Sketch the graph of its derivative function. y = f(x)

A: Given :-  The graph of  is shown below.

Q: I need help on how to do this one

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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: 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: (16) A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from…

A: Solving the problem

Q: Use the disk method to find the volume of the solid of revolution bounded by the x-axis and the…

A: Region bounded by x-axis and Using Disk method , Volume of solid of revolution about x-axis will be

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 2. R is the…

A: Given :- R is the region bounded by y=x²+1 , and the lines y=2 and y=5.To find :- The area of region…

Q: dy dx a) y = 4x² cosx Find Simplify. 2 tan x b) y=- X

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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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