dx 4 √x √x + ²+√x S

Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A: No Partial fraction formula is incorrect. Actually it is, x2x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1Multiply…

Q: s sin² (3x) cos³ (3x) dx Hint: cos²x = 1 - sin² x 07 sin²x = 1 - cos² x

A:

Q: Suppose that the point P can be placed anywhere on the line segment AB in order to change the angle…

A:

Q: adius of the circular fan is 19 inches). Suppose the fan turns at a rate of 58 revolutions per mine…

A: We will find the speeds.

Q: The angle below subtends an arc length of 5.52 cm along the circle centered at the angle's vertex…

A: We know that θ=lr⇒θ=5.522.3=2.4 radians.

Q: Solve the following Bernoulli’s differential equations 2ydx + x (x^2 ln y - 1)  dy = 0

A:

Q: 1. fx² In x dx = f x² dx f ln x dx =(lnx-1) + C 3 Is the solution correct? If your answer is yes,…

A:

Q: Activity: 1. Compute the area of the surface formed when f(x) = 2√1-z between -1 and 0 is rotated…

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

Q: Let f(x) = 5 on [−3, 1]. x+5 Find all numbers c in [-3, 1] for which the derivative is equal to the…

A: We are given a function f(x) = 2/(x+5) on [-3, 1].   We have to find all the c in [-3, 1] such that…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. So||ti + Bij||dat 1717- = 13 X

A:

Q: pt) Given the following geometric sequence: Get an expression for an Evaluate So Evaluate So if…

A: Geometric sequence

Q: 1. x²y + 2xy-5y³ =0

A:

Q: A first order Bernoum's differential equation is in the form 2. The Bernoulli's form of the…

A:

Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x - y³ dy=0 is

A:

Q: The figure in this exercise shows a horizontal layer of the vector field of a fluid flow in which…

A: This is a problem related to vector field. Based on the formula and concept we will answer the…

Q: 9. Which of the following is equal to feedt? A. ee C. eºx + C B. ee + C D. eºt + C 10. What should…

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫c·fxdx=c·∫fxdx , where c is constant   (9).…

Q: Find the derivative of 83-4 A. 3 ln 8 B. 83x-4 C. D. OA OB OD OC 83-4 ln 8 83x-43 In 8

A: We are authorized to solve only one question, please repost remaining questions Derivative of…

Q: For f(x) = 2x³ - 2, find ƒ '(x) using the definition f '(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using…

A: Let's find.

Q: dy (x + 1) dx = 1 x = 0; y=2

A:

Q: Find the average value of on the interval [0,3]. favg f(x) = x² √√√37 +20²³

A:

Q: Problem # 15 7 tan (2x) dx use: tan²x = sec² x - 1

A:

Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 − 12x,    [0, 6]…

A: To find the absolute extrema of the given function on the interval [0,6].

Q: If x is the modified divisor used for Jefferson’s method, then x is always greater than standard…

A: If x is the modified divisor used for Jefferson’s method, then x is always greater than…

Q: The fixed overhead expense of a manufacturer of children’s toys is$400 per week, and other costs…

A: Let's find.

Q: Evaluate fff (3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: ∫∫∫(3x + 2y) dV=∫∫∫(3x + 2y) dxdydz = ∫z = 04∫y = -13∫x =-11(3x + 2y) dxdydz = ∫z = 04∫y = -134y…

Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2, the x-axis…

A: Solution is given below:

Q: Identify the appropriate substitution for the following integral: Sesin z cos adx

A: Assume u=sinx then du=cosxdx. Substitute sinx=u and cosxdx=du in the given integral.…

Q: Find Vf if f = 2 2 2 x² + y² + z² V.

A: Given,            f=1x2+y2+z2To find : ∇f

Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ - r(t) = t²i+t³j to find k(t).

A:

Q: Jinny and Bing You has a total of 172 dollars. After Bing You spent 1/4 of his money and Jinny spent…

A:

Q: 2.S x² -4 X -dx

A: Note: Asper company guidelines, we are supposed to answer the first question only. Kindly ask the…

Q: 2. dx 1+√√x

A: integration

Q: f(x,y)=6-3x3-2y2+81x-8y   Find the stationary point(s) of this function.  Determine whether the…

A: We need to partial derivate the f(x,y) to find stationary points.

Q: A cylindrical can, open at the top, is to hold 800 cm³ of liquid. Find the height, h, and the…

A:

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Here we have to find the indefinite integral.

Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y−2)^2, the x-axis…

A: Given:        x=y-22 The volume of the solid obtained by rotating the region about the x-axis is…

Q: yo dx

A:

Q: Find the volume of the solid generated when the area bounded by the curve y^2 = x, the x-axis and…

A:

Q: Water is flowing into a tank at a rate of r(t) = 3√2 cubic meters per minute. How much water entered…

A:

Q: cos2ydx + tan y dy = 0 x = 0; y = 9

A: Here we have to solve the given differential equation

Q: d³y d²y dy+y=0 dx3 dx² dx

A: d3ydx3-d2ydx2-dydx+y=0                (1)LetD=ddxTherefore   equation (1)…

Q: Use the given derivative to find all critical points of f, and at each critical point determine…

A:

Q: Calculate the following derivative if h(w) = √weów¸ (Use symbolic notation and fractions where…

A:

Q: Using trigonometric substitution to evaluate: find x * S dx, √x²+16 x4 O x=4 tang O x=4 sing Ox=4…

A:

Q: Use the formula k(t) k(t) = ||r′(t) × r"(t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(8t)i + 7…

A: Value of r'(t) , r''(t) are evaluated.

Q: 4. The Bernoulli's form of the differential equation x'dy+ (2xy-y')dx=0 is

A: Given problem:- The Bernoulli's form of the differential equation x2 dy + (2xy - y3)dx = 0

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 5.² 11 |ti + t²j||dt 0 = =

A:

Q: integration

A:

Q: Let f(x)=√x - 3 on [4, 12]. Find all numbers c in [4, 12] for which the derivative is equal to the…

A: