lim (sech 2x) csch x² +0x f(x) = csch x

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

A: The region is bounded by y=x^3, y axis  and y=8.And the region is revolved about x=0. We need to…

Q: Find the point on the line y = 4x closest to the point (1,0). (Use symbolic notation and fractions…

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Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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

A: Here, the region bounded by the curves y=x2+1, y-axis , x-axis & x=2 is: which is rotated…

Q: I can't understand your solution.

A: Let's solve given integral.

Q: 2. Which of the following operations is associative on Z? A. a*b = a b C. a*b = a B. a*b = max (a,…

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Q: Determine an equation of the normal line (a line that is perpendicular to the tangent line) to the…

A: Let's find equation of normal line.

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: TU Evaluate a sec²20d0 8 a. 00.33 b. 0.5 c. 0.67 d. 0.25 e. NONE OF THE ABOVE

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Q: x-1 x² + 5x + 8 S dx

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Q: ૩ 3* sech³ (3) 1+tanh (3) S- -dx

A: Substitution method in integration: To simplify the integral, in the given integral independent…

Q: y-coordinate of the centroid of the plane region bounde 22 What is the y = 2x + 1, x + y = 7, and x…

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Q: Test for exactness then solve. (6x + y2)dx + y(2x − 3y)dy = 0

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Q: If y₁(x)=e³x and y₂(x)=xe³* are solutions to y" - 6y' +9y = 0, what is the general solution?

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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 A D E

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Q: 0 sinx + 2cosx dx

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Q: Using Laplace transforms, solve the initial value problem y" − 2y' + 10y = 0, y(0) = -3, y'(0) = 3.…

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Q: 10. The sale price of a book after a 25% discount is $40. What was its original price? $46.67 O…

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

A: Using shell method, equation of volume is given.

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

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

Q: group of management students are creating a business plan for oposed shoe brand SoleSearching. The…

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

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Q: Question 4 Given a second order differential equation d²x dx 2 + 10x = e²t dt² dt dx where t = 0, x…

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Q: 2. Evaluate the integral: SSS teu du ds dt

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Q: Q3. Evaluate : IL (2) * dy dx

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Q: Perform the integration. 3 [² (13² - 11 + 13* - 31) dx

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Q: Find the area bounded by the curve y = coshx and the x- axis from x = 0 to x = 1. a. 11.75 sq. units…

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Q: 2. lim (tanx) (sin r-1) x→

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Q: 2. 0 sec³ x tan x √2+ sec x dx

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Q: PLEASE SHOW COMPLETE SOLUTION.   Find each of the two areas bounded by the curves y = x^3 − 4x and…

A: Follow the procedure given below.

Q: Can you solve this and show work clearly, the first part is X to the 3

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Q: II. 3 4. 5- 10² - 0 + (0² + 0) dx S le* -e (e* e) e 0 Evaluate the followin

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Q: Where is the sketch of the area?

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Q: Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent,…

A: derivative

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: . Calc.   Test for exactness then solve. (2xy - sinx)dx + (x2 - cosy)dy =0

A: Differential equation

Q: 1 X 4 11-x²

A: Please refer to the image below

Q: I. Evaluate the following limits 2. lim (3 + x)² x → +∞0

A: Given problem :- limx→+∞3x+x1x

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

A: ∫1x2+a2 dx =1atan-1xa+C

Q: 4. Find the area of the region bounded by the horizontal strip. y² +1 and the y-axis using

A: Topic = Area

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

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Q: Evaluate (2x + 3e* - 4) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE A О в Oc O D DE

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Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

A: We will use partial derivative to find x and y.

Q: -0.03t The function f(t) = 9000 e represents the rate of flow of money in dollars per year. Assume a…

A: The present value

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: Determine the values of r for which the differential equation y" +9y' + 20y = 0 has solutions of the…

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