x2 dx 25 - x2

Q: Let lim f(x)= 11 and lim g(x)=9. Use the limit rules to find the following limit. X-9 lim [f(x)- g(x...

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Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

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Q: ompute the following limits through an algebraic approach or L’Hospital’s rule where applicable

A: Given that: 1. limx→212-1xx-22. limx→01-cos2xx2

Q: (1) The number of organisms of a certain bacteria at time t can be modeled according to the function...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Since I can not b...

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: We have to solve given differential equation

Q: Write the partial fraction form of the following expression: -7 x²+15x+56 Note: You are not asked to...

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Q: 1+1

A: We will need to find the sum of these two numbers.

Q: 3. Find the domain and the range for the following functions: a) f(x) = -2(x+3)^2+4

A: Given function,f(x)=-2(x+3)2+4The domain of a function is the set of input or argument values for wh...

Q: Slope of a tangent line at t1 = 6.0 and y = at? dy v = lim At-0 dt

A: Given that: y=αt2

Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A: Difference between nth and (n-1) th term is nth prime number. 

Q: The population of Nilam doubles in size every 4 yr. In 1986, its population was 25,000. a) Find an e...

A: Note: Since you have posted a question with multiple subparts we will solve the first three subparts...

Q: Find the center of mass of the solid E bounded by the planes x = 0, x = 3, y = 0, y = 3, z = 0 and z...

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A:     ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: What is the symbolic form of the argument?" Sad svd S .. d .. d Option 1 Option 2 Sad svd S ... d .....

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Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 V 1- sin(x) dx

A: Evaluating the indefinite integral

Q: Question 46 Find the volume of the solid that results when the region in the first quadrant bounded ...

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Q: Find the corresponding angle measure in radians. O A. - 45° OA. 4 7T O B. 4 OC. 3 元 OD.

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Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast...

A: d[r^n]/dr = n r^(n-1)

Q: The region in the first quadrant bounded by Y = -3x + 6, the x-axis and the Y-axis is rotated around...

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Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 75°.

A: FOLLOW next step

Q: Solve the following DE by using separation of variables or method used in solving exact DE

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Q: stion 30 Complete the integration: Ssin (x)cos°(x)dx x sin (2x) sin³(2x) 16 32 Determine the value o...

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Q: Evaluate each limit using the appropriate algebraic methods. Vx + 8 a) lim- x-1 x+2 b)

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 4 = X*+5x -a x" +3 %3D

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Q: 68. Let Jr dx. %3D (a) Show that J1 = -e-x²/2. (b) Prove that Jn = -x"-le-x*/2 + (n – 1)Jn–2. %3D (c...

A: Solution is given below:

Q: Find the abscissa of the centroid of the region between the parabola y = 6 − x2 and the line y = 1 −...

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Q: c) limx'e*

A: We apply L-hospital's Rule to find limit.

Q: Inverse function Problems: Walking can burn about 26 calories per minute. a) If you walk for 40 m...

A: given that, walking can burn about 26 calories per minute. find the following a) if you walk for 40m...

Q: Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, J...

A: Here we can verify the answer as below.

Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.

A: To approximate: 2.032+0.82+2.12 Consider a function, fx,y,z=x2+y2+z2 The linear approximation of a f...

Q: dy (13) 2+ 3y = 3x²e¬3* dx

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Q: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an express...

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Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. r= 72.22 in, 0= ...

A: This is basic problem on angles solution is given in the next step

Q: Part (c) Consider the initial value problem dy (t – 2)(t + 3) dt + (t – 5)y = tª + 1, y(-1) = 7. Det...

A: The given initial value problem is: (t-2)(t+3)dydt+(t-5)y=t4+1 ;       y(-1)=7

Q: Sx² – 4, iƒ x > 1 -x – 1, if x < 1’ continuous at x = 1. If the function is discontinuous, state the...

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Q: 1. Find the vector equation, parametric equations and symmetric equations of the line passing throug...

A: Given that: Points are: (6, -3, -2) and -23,23, 1

Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

Q: Determine the period of the given function. y = -3 sin 8x + 2 ... O A. 8 O B. I O C. 3 O D. - 4

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Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

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Q: ) Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x ab...

A: 21) Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x ...

Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

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Q: This part is required to be completed on a piece of graph paper: • Very neatly and clearly graph the...

A: We are asked to  draw the graph.

Q: S. Sxidx

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Q: Use the properties of limits to help decide whether each limit exists. If a limit exists, find its v...

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Q: csc'x- cotx + tan'x Cosx - sin?xcosx

A: