Find the volume of the triangular prism to the right. 12t The volume of the prism is . (Type an integer or a decimal.)

Q: For Item # 1- 2: The IOM company describes the cost C in pesos of producing x units by the function,…

A: Given cost function.

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim t-+0\ 9t2 + 10' t (?, ?)

A:

Q: cos 2ot) Wheré w iš a -3(1-cosh 377t) 4.

A: Given problem :- 4.  -3(1-cosh377t)/t  Find laplace transformation of given f(t) function

Q: 5. y = ecos x + x? 6. f(x) = 3secx %3D 7. y = log sec x

A:

Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: Given :y=x2,  y=3x+8To find : The area of zone bounded by curves.

Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: sin(3x)e°*dx

A:

Q: Carlo works in a restaurant and makes S6 per hour plus tips. He is receiving an average of $5 per…

A:

Q: x2 – Evaluate the integral = 2.x +3 dr.

A:

Q: 100e0.1z thousands of Over the next 5 years, a company projects its continuous flow of revenue to be…

A: To find the expected profit of the company

Q: Question 7 of 10 The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m.…

A:

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

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Q: d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by…

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Q: III. Evaluate 4 - x -dx. V16 – x2

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Q: QI) Evaluate the integral dx dy using polar coordinate

A:

Q: cosh? V 4-S dx Vx csch vx

A: We have to find given integral.

Q: Consider the differential equation y" – 11y" + 28y' = 0 Write the auxiliary equation of the given…

A: Given a higher order differential equation.

Q: Match the vector field with its graph. F(x, y) = yi KE y -5+

A:

Q: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step

Q: 20. Write the equation of the line that has the indicated slope and y-intercept. Express final…

A:

Q: . A cylindrical tank full of water has a radius 2 ft and a height of 6 ft. Find the work m pumping…

A: Work = force × distance Force = weight

Q: Choose the suitable substitution for the method of reduction of order to find a second solution y2…

A:

Q: 2. Sketch the region whose area is represented by the integral 6 Siz dxdy.

A:

Q: sin 4x2 lim 1 cos 6x

A:

Q: 1) An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: In this question we have to find volume by revolution of the given curves.

Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

A:

Q: Question 5 of 10 A spring whose natural length is 13cm exerts a force of 37N when stretched to a…

A: Let's find.

Q: Find the total area enclosed between y = x and y = a over the interval [-1,5]. NOTE: Enter the exact…

A: The region bounded  by y=x3 and y=x over the interval -1,5

Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A:

Q: dx II. Evaluate the improper integral J x(Inln x)

A:

Q: Q2/ By using partial method solve fx² In x dx

A:

Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: Solve the boundary value problem y" – 10y' + 25 y = 0, y(0) = 3, y(2) = -2. %3D %3D

A:

Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 8y + 3,…

A: Given that the curve x=8y+3, 0<=y<=3  To find the Area of Surface generated by revolving the…

Q: Use l'Hôpital's Rule to evaluate lim 4x( cos (2x) - 1) sin (5x) - 5x 4x( cos (2x) - 1) lim sin (5x)…

A:

Q: cosh? V 4-S dx Vx csch vx

A:

Q: TE: Enter the ezact answer. y =z²+3 y =r 3

A: given is   region bounded by               y=x and y=x2+3              x=-1 to…

Q: ANSWER

A:

Q: Find f. (x + 1) f'(x) = (1) = 3 %3D f(x) =

A:

Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

A:

Q: 3- fxvx? +1 dx

A: Let's find.

Q: Let f(x) = V31 – x. Compute f'(6) using the limit definitic f'(6) = %3D Find an equation of the…

A: Given: f(x)=31-x

Q: Determine the derivative of each function using the limit definition. 1. y= 2 - 7x 2. f(x)= 4 -5x…

A:

Q: Question 9 of 10 q(x) = e" ln x Select the correct response. O e" In x - + eª ln x et +1

A:

Q: f(x + Ax)-f(x) D. APPROXIMATE DERIVATIVES f(x) = Ax 8.) 2A

A: Given function f(x)=2x

Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows: