S 7dx x(lnx + 1)

Q: Matrix A 3 · 12 21₁B = 1₁ -2] · f find AB

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an 00 Since…

A:

Q: Solve differential equation dx -(2ln5y+x-¹) 2xy-1

A: Solution is given below:

Q: What is the radius of the circle defined by x + y - 6x + 4y - 1 = 0

A: Given : x2+y2-6x+4y-1=0 To find radius of circle

Q: 9. -1 2x xe dx

A: We have to find out solution of integral

Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³ Part 1 of 4

A: In this question, we will plot atleast six points to sketch the given function.

Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

A:

Q: Sketch the plane curve. r(t) = 3ti - tj, [0, 3] y O 2 1 -1 -2 y 3 2 - -1 -2 2 4 4 Find its length…

A: This question is related to vectors and parametric equations, we will solve it using given…

Q: √ grams/cm² and occupies Find the mass and the center of mass of the lamina with density 8(x, y)=-…

A:

Q: Consider the following situation, which involves two options. Determine which option is less…

A: To find out which one is less expensive.

Q: At least one of the answers above is NOT correct. where a 9 and b = 7 1³h 10x² - [ 1(a) dx = f* f(x)…

A:

Q: 10 9. (2x³ + 5)¹0 x² dx

A:

Q: Find the exact length of the curve. y ‹ = ²(1 + x²j³/2₁ 3/2, 0≤x≤ 5

A: The objective of the question is determine the length of the given curve.

Q: Write the first five terms of the sequence: {√n² + 4n - n } n =1 + Determine whether the sequence…

A: Find out the first five terms of the sequence and also if it converges then find its limit.

Q: Use the estimate to approximate f(99). (Use decimal notation. Give your answer to four decimal…

A: Given :fx=1x

Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: We have to solve given Questions.

Q: dx + 2x dx = 2x²y² dy

A: dx+2xdyy=2x2y2dy dxdy+2xy=2x2y21x2dxdy+2yx=2y2.......1equlet 1x=v differentiate with respect to y…

Q: For the vectors u = (6, 3, 4√5) and v= (3, 0, 5√5), evaluate the following expressions. a. 3u + 2v…

A: See this solution in below

Q: -2- 0 y = g(x) 4 7 x

A: To evaluate the integral.

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Consider the points 19,0.633,21,0.335,23,0.12,25,0.064 and 27,0.044. Find the Average rate of change…

Q: 3. f(2x + 3)² dx

A: I have stated the used formulas in the solution

Q: Find or evaluate the integral using substitution first, then using integration by parts. cos(In x)…

A:

Q: 2. Find the equation of the line tangent to the circle x² + y² + 6x - 2y - 15 = 0 at the point…

A: Here the given circle is , x2+y2+6x-2y-15=0 We need to find the tangent to this circle at the point…

Q: Find its length over the given interval. (Round your answer to four decimal places.) (No Response)

A:

Q: 3 5. S (t + ²1) ²³ dt t

A: To evaluate the integral.

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: We have to find out equation of tangent

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 7x² + 2x…

A:

Q: Given the equation 5 sin 6xy = 3, evaluate dy Assume that the equation implicitly defines y as a…

A:

Q: Step 5 Let x = sin(0). Differentiate with respect to x on both sides. dx = Rewrite the integral by…

A: We need to fill in the blank.

Q: the maximum and minimum values of the function f(x) = 6 sin(x) cos(x) + 10 on the interval [0, by…

A:

Q: A = - 1)³² dx - (x - 1)³dx + 5²0x

A:

Q: 1. (1) E (14) (1) Choose the correct option (Multiple Choice Questions): Which of the following is a…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: The volume of the solid obtained by rotating the region enclosed by y = x = 1, x = 7, y = 0

A:

Q: Given the space curve r(t) = (2 cos 2t, 2 sin 21, 31), find the unit vectors, 4 B

A:

Q: If f(x) = x3 − x, find a formula for f'(x) using the definition of derivative. Do not use…

A:

Q: Exercises L- If H B =). 33" 3 14. BB+A-SI-D E A-

A: The answer is given below:

Q: y"+y=t y'(0) = -2 y(0) = 1

A: The differential equation is given by      y'' + y = tThe auxiliary equation of the corresponding…

Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

A:

Q: 3. The marginal revenue function has x measured in years and MR(x) in hundreds of dollars per year.…

A:

Q: x² + ax − 2bx - 2ab-x³-2ax² - 2bx² dx x² + ax³ - 2bx³ - 2abx²

A: The given integral is  ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx To evaluate the integral.

Q: Use the half angle identity for sin² x. sin²(x) Hence, sin² x = ~ √₁² (₁²- V = π (1-sin²(x) 2 sin 2x…

A: Solution of given question is written in below steps.

Q: 2. What is the radius of the circle defined by x + y² - 6x + 4y - 1 = 0

A: x2 +y2 -6x +4y -1 = 0 here we have to find radius standrad form of circle is (x-a)2 + (y-b)2 = r2…

Q: lf f(x) = -[-² 0 u²-6u +5du, then what is the y-coordinate of its inflection point? Selected Answer:…

A:

Q: Find the exact length of the curve. 1.2 y = 1x²-1⁄In(x), 2 4 1 ≤x≤ 8

A: This question can be solved using the concept of length of curve using derivatives.

Q: A pizza company is building a rectangular solid box to be able to deliver personal pan pizzas. The…

A: The given data is: A pizza company is building a rectangular solid box to be able to deliver…

Q: 3. 2 洲 dx

A:

Q: MEDICINE A tiny spherical balloon is inserted into a clogged artery and is inflated at the rate of…

A: We have to find how fast the radius of the balloon growing for the given Radius.

Q: Question 20 Given the equation −4x² + 8x − 4y² − 56y − 4z² + 32z = −312 - a) Show that the given…

A: