Q1-A/Find the domain of the following functions. 1-f(x) = √(sin(x) - 1) 2-f(x)=-/In(5x-x²/4)

Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√92¹-1…

A: Topic = Derivative

Q: Perform the integration. (sinh x)(coth x +csch3x) dx +

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Q: Write the standard equation of a hyperbola whose center is at (-3,-5), one 14√11 of its foci is at…

A: Given

Q: 3. SET-UP the definite integral that will give the area of the region specified using (a) z as the…

A: topic- area bounded by curves

Q: Evaluate the integral: 1 - coth² (log₂ x) S² x cosh(log₂ x) dx

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Q: I. Evaluate the following limits. 2. lim (x - Inx)* +0+x

A: We have to find the limit of the function  limx→0+x-lnxx. We can write,    u= elnu Therefore,…

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 3x - x^3,…

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Q: Please graph the function of D(t)= 28sin(360/365 t - 1.4)

A: Let's graph the given function.

Q: The function defined by y=√√²-x²2 has as its graph a semicircle of radius r with center at (0,0) (as…

A: The given equation of the semi circle: y=49-x2.We need to find the volume when the semi circle is…

Q: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

A: This question is related to profit and cost functions, we will solve it using given information.

Q: The integral of 3^4x dx is equal to A^AY Ing+ 0

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Q: Evaluate ¹ dx √√9-4x2 a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

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Q: Find all points where the given function has any local extrema. Identify any saddle points. f(x,y) =…

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Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: Partial Sums An arithmetic sequence has a first term of -1 and a common difference of -17. If S₁,…

A: We have to find the sum

Q: F T M 3. Let et = 2 . Find a power series nào ng t² a) Find a power series for te . obtained in @)…

A: We want to evaluate the power series of the given expression and want to integrate it.

Q: lim x++∞ x² + x e²x + Inx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: The following differential equation is a Bernoulli equation: 2 dy + = y³ y3 where y = f(t) dt t By…

A: The following differential equation is a Bernoulli equation:dydt+yt=y23 where y=ftBy making the…

Q: I. Determine the convergence of each of the following series using the indicated test. In number 4,…

A: The given series   ∑n=1∞(-1)nn+3

Q: Convert the degree measure to radian measure. Round to three decimal places. −46.23°

A: Convert the degree measure to radian measure. Round to three decimal places. −46.23°   Please show…

Q: 2. (² (sin³x)√1+cos x dx

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Q: Find the formula for the sequence below: -5,15,-45,180,...   a an=-3(-5)n-1 b an=5(3)n-1 c…

A: We have to find the formula

Q: Kindly write this, I cant understand by text

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Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: 1.) +y=e+ dx=3e-t 2. .) d- given: x(0) = 0, y(0) = 1 dy-x=0 d+y=1 given a z (0) = -1, y(0) = 1.

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Q: Find the area bounded by the curve 2x² + 4x + y - 0 and the line y+x=0 a. 1.000 b. 1.125 c. 1.525 d.…

A: We will first sketch the curve and the line.

Q: 7. Find the mean of a student's test scores if he earned 95, 93, 85, 90, and 91 points on five…

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Q: Let w = (2, − 1, 1), v = (− 4, − 5, 1), and u = (6, − 2, 2). Find u × (v × w)

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Q: yı y' = 2x +2y +1 3x +y -2

A: We can solve the given differential equation .

Q: Let f(x) = e2sinx 1. Find the absolute extremum values off on the interval [7]

A: To find the extreme values of given function at given  interval.

Q: Com A real estate firm estimates that the value of a certain property will be given by the function…

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Q: The position of the sun at sunset, north or south of due west, depends on the latitude and the day…

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: We need to find D.E>

Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

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Q: If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

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Q: What is the center of gravity of the solid formed when the plane region bounded by y^2 = 4x in the…

A: First we sketch the given region using a graphing calculator as shown below:   The shaded region…

Q: I. Directions: Determine if the function is continuous on the given interval 1-3. f(x) 2 12-x² ; [1,…

A: 1. fx=212-x2; 1,32. fx=2-x+3; -3,-13. fx=1if x≤2x2-3if x>2; 2,4

Q: Evaluate the integral of e^x^3 x^2 dx from 0 to 2. * 973.10 O999.40 876.56 993.32 Final rated…

A: As per guidelines,  we support one question in one request . Kindly repost next question in next…

Q: Find fx (x,y) and fy(x,y). Then, find fx(-1,-4) and fy (-3,2). 32 f(x,y) = 4x³y² fx(x,y) =

A: We have to find partial derivatives of Given function.

Q: 2 = 2(0)+7(0) + ²₂ D 6. Use a(t)=-32 feet per second squared as the acceleration due to gravity. A…

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Q: Find the volume generated if the area between y = coshx and x- axis from x = 0 to x = 1 is resolved…

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Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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Q: What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2…

A: We need to find center of gravity.

Q: Sketch the graph of r = 0 90° +2

A: To sketch the graph of r=θ90°+2.

Q: Find the absolute extremum points of f(x) = sin2 x + cos x on the interval [0, π].

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Q: 4.) Give the general solution of the following ODE: x" + 3x - 4x = 0.

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Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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