2x4 + 3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)² C D E F + |dx x2 х-5 (x – 5)2 x+1 (x + 1)2 JOx E |dx (x + 1)2 E(2x – 4) + F dx (x² – 4x + 5)?, B(2x - 4) + C, D(2x- 4) + E C + x- 5 D + x +1 (x – 5)2 C(2x – 4) + D. B + x2 x² – 4x + 5 dx + x2 – 4x + 5 + (x² – 4x + 5)²,

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Solution: In the plane z =0 the two cylinders intersect x=±1, y=0y=1-x2 meets the y-axis at…

Q: (2) Problem 2: Use the provided table of values to write the table of values for the following…

A:

Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

A:

Q: Region bounded by: y = x+1, y = -x + 4, x = 0 Rotate about: y-axis %3D

A:

Q: Find the derivative. (The Fundamental Theorem of Calculus -- Part 1) 19) y = cos ft dt COS-

A:

Q: Given that A = (1,0,2) and B = (6, -2,3), solve for projąB.

A:

Q: Evaluate the integral [cot5 x csc x dx O 1 1 늑csc? x-cscs x + 하sc3x + C 2 X + x + C 2 esc x + 1 csc?…

A:

Q: cos 2 dx O 32 -cos -5cos2 ()+7] + c 35 32 35 - cos(4)- 32 -cos) +c O 32 COS +C 스4

A: We have to find integral

Q: Find the slope of the tangent line to the graph at the given point. (x² + y?32 = 4x²y, (-1, 1)…

A:

Q: Which of the points below correctly plots the point (-5, )? 12 3 4 56

A: We can answer the question as below.

Q: dx %3D = 7 in the expression for ap and simplify. Substitute dt dt x + 5sin 5x(cos 5x) dx dD dt Vx +…

A: Here we have to substitute the given derivative.

Q: ind the points of inflection of the graph of the function. (Order your answers from smallest to…

A: Here, the given function is: f(x)=x(x-4)3 So,…

Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

Q: Three pens of the same size are to be built along an existing fence. If 480 feet of fencing is…

A:

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

A: Solving

Q: dx If x2 – 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

A:

Q: The four figures are graphs of the quadratic surface z = x? + y2. Match each of the four graphs with…

A:

Q: 9- x2 Consider using Trigonometric Substitution what is dx ? x2 3 sec e tan e de 3 sec e de 3 sec2 e…

A:

Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 27] Step 1 The…

A:

Q: Find the derivative of the function. 12) y = 2 secó x

A:

Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

A:

Q: Find the integral. 21) + e3t) dt

A:

Q: dx Using Trigonometric Substitution , find f(e) !! (x2 + x + 1)2

A:

Q: Question 8 Saved If limx→a f(x) 8(x) = 1 and limr-→a g(x) = 0 then, we must have limx→a = True False

A:

Q: 4 3 2- O 1+ -2 -1 1 2 x 1,

A: Solved below

Q: Find the area bounded by y = x+ 4 and y = x2 - 2. Answer:

A:

Q: each of the problems, solve the given differential equation. 3. y` + y2 sin x = 0

A: Given query is to find the solution of the differential equation.

Q: 2. SET UP an integral which can be used to find the volume of a solid generated by rotating the…

A:

Q: Using Integration By Parts, dx =uv- v du v-Svau Find 6 x2 e dx 1 dx x3 dx - °3 x? e* - хе dx

A:

Q: -. Evaluate f. F dr where F(x,y, z) = e²i + xzj+ (x + y)k and C is given by r(t) = t²i + t°j- tk, 0…

A:

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

A:

Q: x(z + 2y)100 = yz – x; Zy and xz.

A: Given problem:- x(z+2y)100 = yz-x  To find:- Zy and Xz

Q: sin2 dx. Use trigonometric groups. cos

A:

Q: Consider the discrete time dynamical system 5x1 . This DTDS has 3 fixed points. Choose the correct…

A:

Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

A:

Q: Find the derivative of y. 30) y = In (sinh 5x) D . sinh 5x A) coth 5x B) 5 csch 5x C) 5 coth 5x

A: We can answer the question as below.

Q: dx 4 -sin e+C Using Trigonometric Substitution - = , express the answer in terms of x. (x² + x + 1)…

A:

Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] %3D s- 3 minimum (s,…

A:

Q: dt (t +7)

A:

Q: tan (x) cos (x) 1 tan (x) +tan°(x) + C tan'(x)7tan?(x) +9]+ C 36 O 1 1 tan (x)-tan'(x) + C O…

A:

Q: 13x + 6/3xy + 7y² – 80 = 0 %3D

A:

Q: 15х2—х3— 43х — 19 Ax + B C The integral /- D + rx +s -dx can be rewritten as dx. (x+1)2(x²– 6x + 13)…

A: The integral ∫15x2-x3-43x-19x+12x2-6x+13 dx can be written as ∫Ax+Bax2+bx+c+Cmx+nt+Drx+s dx.To…

Q: Express the limit as a definite integral on the given interval. 5 V 3x; + (x;) Ax, [2, 3] * lim n →…

A:

Q: Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = x6…

A: For critical numbers, Put g'(x) = 0 and solve for x.

Q: Solve the system of equations. If the system does not have one unique solution, determine the number…

A: In this question , we can solve the system of equation by eliminating the variables .

Q: The graph of a function f is given. (Let a = 1.) 0 1 8. (a) Estimate f(x) dx using four subintervals…

A: We have to estimate the given integral.

Q: Given the point (-10, ) in polar coordinates, what are the Cartesian coordinates of the point?…

A:

Q: Question 8 If limx→a J(X): |8(x) lim;-»a [f(x)] = = 1 and limx→a g(x) : = o then, we must have %3D…

A:

Q: company's revenue from selling xx units of an item is given as R=1500x−x^2 If sales are increasing…

A: Topic:- application of derivatives