lim (tan x)(sin x−1) + TU x-2

Q: Test for exactness then solve. (cos x cos y − cot x)dx − (sin x sin y )dy = 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 the value of t 20 + 10t - 4.905€ ² =0

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Q: Question 2 A piecewise function is defined as f(t) = {2t²-4 3 0 ≤t<5 t25 i. Sketch the graph of…

A: Explanation of the answer is as follows

Q: u=-5), v=-1-√31 (a) Find u-v. U-V= (b) Find the angle between u and v to the nearest deg 0

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Q: The choice of u and du is subject to trial and error. Identify the appropriate choice of u and du…

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Q: Choose the correct answer.   By definition, we call a function differentiable at a closed interval…

A: Let's solve.

Q: A window has the shape of a square surmounted by a semicircle. The base of the window is measured as…

A: Given that a window has the shape of a square surmounted by a semicircle. The base of the window is…

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

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Q: 6 r5 So f5x dy dx X 1

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Q: Set up the double integral that will find the volume of a solid bounded by z = 1- y²x² and the xy-…

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Q: 1. Evaluate the following limits x-tanx 1. lim x-sinx x-0 9

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Q: For the function f(x,y) = 3 x³ + 5y4 5 4 x +y find f, fy, f(-1,1), and f,(-3,2).

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Q: The following differential equation is a Bernoulli equation: 2 dy + 27/ y3 where y = f(t) dt By…

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Q: What is the volume in cubic units of the solid formed when the region. bounded by y = x^2 + 1, y-…

A: Given :y=x2 + 1, y-axis , x-axis and x=2 is revoloved about x=-2.Formula :Volume in…

Q: IV. Solve the following problems completely. 3 1. Use local linear approximation to estimate √√(3.…

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Q: Find the area bounded by y = 2 - x² and y=x a. 9/2 b. 7/2 C. 5/2 d. 3/2 e. NONE OF THE ABOVE

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Q: 1-coth² (log₂x) dx x cosh(log₂x) 1. 11/20

A: We have to find the integral.

Q: Perform the integration. x-1 dx x² + 5x + 8

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Q: Set up the triple integral that will give the following: the volume of the solid B that lies above…

A: We have to set up the integral and draw solid B.

Q: II. Find the value(s) of x (or the interval of convergence) 2. Σn=0 for each of the following power…

A: The power series is  ∑n=0∞ (-1)n+1(x-5)nn·5n

Q: Find the point(s) on the hyperbola x^2 - y^2 = 2 closest to the point (0, 1).

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Q: Evaluate the following limits 1. lim (2x+x) x → +00 e2x +In x

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Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

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.…

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Q: 6. Find the area bounded by y= In x, y = 0 and x = e.

A: Area of a curve y=f(x) bounded by x=a, x=b is given by, A=∫abf(x)dx ln(e)=1, ln(1)=0

Q: While buying a new car, David made a d payment of $1,100 and agreed to make end payments of $230 for…

A: Please refer to the image below

Q: 1. Use local linear approximation to estimate In (0.99). 2. Find the absolute extremum values of…

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Q: The function defined by y=√-² has as its graph a semicircle of radius r with center at (0.0) (as…

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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: For the function defined as follows, find all values of x and y such that both fx(x,y) = 0 and fy…

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Q: The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) =…

A: Here, R'(x)=(x+2)ln(x+2)

Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 4. Which of the following lines is parallel to y = 6x 18? 3x+6y=2 ○ 2x + 3y = −2 -6x -6x - 2y 2y =…

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Q: P= tan (x- P 1+p²

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Q: A ship leaves port travelling North West at 12 knots. A second ship leaves the same port 3 hours…

A: Given: Let first ship be Ship A and second ship be Ship B. Speed of ship A = 12 knots =12 nautical…

Q: Use local linear approximation to estimate In (√0.99)

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

A: Here is the solution:

Q: 8. Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and…

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Q: Use the linear approximation to estimate In (√0.99).

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Q: What is the y-coordinate of the centroid of the plane region bounded by y = x^3 and y=x^2? O 2/5 3/5…

A: We can solve this as follows:

Q: S 36x2+25 - dx

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Q: Which statement is true for a function f(x)? b The average value of a function is [ f(x) dx. a f…

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Q: Find the lateral surface of the cone generated by revolving the line y = mx from x = 0 to x = 1…

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Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

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Q: Find the area bounded by y = 2x² and y = x a. 9/2 b. 7/2 c. 5/2 d. 3/2 e. NONE OF THE ABOVE

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Q: Which of the following is/are true about critical point? 1. Critical point is an interior point in…

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Q: -2 S₁² S₁² (²x²y^² + 2 (2x²y-² + 2y) dy dx 1 1

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Q: I. Evaluate the following limits 2. lim (3 + x)² x → +∞o

A: Given

Q: The choice of u and du is subject to trial and error. Identify the appropriate choice of u and dv f…

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