b)[((sin² x) In(x² – 3x + 1)(tan−¹ x)) dx] -

Q: Find the derivative of the function. 4 3 q=√x-2x q' =[

A: Useful formula for derivative of function÷ If y=fxn then dydx=nfxn-1f'x

Q: 2) Evaluate the following: a) [((sin² x) In(x² – 3x + 1)(tan¯¹ x)) dx] - dx

A: Given :ddx∫45sin2xlnx2-3x+1tan-1xdx

Q: or the function f(x) given in the table, find the average rate of change over each specified…

A: Given query is to find average rate of change.

Q: For the function, find the point(s) on the graph at which the tangent line has slope 5. y = -0.025x²…

A:

Q: Given f(x, y) = sin(x + y) where x = st5, y = 6s-5t. Find ft =

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Compute the mean, median, and mode of the data sample. (If every number of the set is a solution,…

A: This question of calculus  here data given  we have to find the mean, median and mode of data…

Q: Which of the following graphs exhibit ALL of the listed properties: • lim f(x) = 1, 2-00 • lim f(x)…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

A:

Q: 6- - 10 -3 -3 4 р. Qo Ау CO X 8 10

A:

Q: 4. Given the recursive formula an = n² an-1, and a₁ = 2, find the next 4 terms. Show all work. Write…

A: given  an=n2(an-1)given  a1=2

Q: 1. The function y = 6(x - 1)*(x-2)²(x + 1) Changes sign at a. x = 1 b. x = 2 c. x d. it does not…

A: from bartleby policy we supposed to do only first part of multiple questions (1)…

Q: f(x) = x2 + x and so f(1) = 1 + 1 = 2 We want to approximate the slope at x = 1 using the slope…

A:

Q: K Find an equation of the line in the form ax + by=c, where a, b, and c are integers with no factor…

A:

Q: QUESTION 2 Write an inequality of the form |x-a k so that the inequality has the given solution…

A:

Q: Find the mass of the thin bar with the given density function. π 3π p(x) = 1 + sin x; for sxs. 4 The…

A: Answer: The solution is given below:

Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110X-0.4x². a. Find the…

A:

Q: Find the linear approximation to the equation f(x, y) = 4₁ approximate f(8.3, 2.13) xy 4 at the…

A:

Q: . Sketch a graph that satisfies the following properties. • limx→2+ f(x) = 4 ● limx→2- f(x) = 3 •…

A: Given query is to find sketch the graph with Indicated properties.

Q: 4 If ſ₁ ƒ(x) dx = 12, then ¹ f(4x) dx is equal to If ſ¹ ƒ(x) dx = 12, then fx f(x²) dx is equal to

A:

Q: Suppose an arrow is shot upward on the moon with a velocity of 49 m/s, then its height in meters…

A: Given height function h( t ) = 49t - 0.83t2

Q: S + t maximum rate of change direction vector X X

A:

Q: The graph of f is given. State the numbers at which f is not differentiable. X = | (smaller value)…

A: Topic = Function

Q: Determine where the function f(x) = O A. (-∞, ∞) 1-00 O B. O C. O D. 3 3 3 (-∞0,²21) U ( 212,00) N/W…

A: we have to find out the values of x where function is continuous.

Q: The following table shows the estimated sales (in billions of dollars) for a certain company for…

A:

Q: This answer is incorrect. Can you please solve the question again?

A:

Q: K 1 1 If g'(7) = 5 and h'(7) = 15, find f (7) for f(x) = g(x)+h(x). =(Simplify your answer.) f'(7)=

A:

Q: 3) 3 sin x + 5 sec x tan x COS X √³5 dx

A: V=∫3sinx+5secxtanxcosxdxtanx=sinxcosxsecx=1cosx∫1xdx=lnx

Q: Calculate the integral, assuming that √5 ƒ(x) dx = 2 and ³ g(x) dx = 3. (Give your answer as a whole…

A:

Q: Find a matrix X such that AX = B. A = 43 54 B= 2 2 -4 -2 -3 4 ....... Find a matrix X such that AX =…

A:

Q: The tangent line to y = f(x) at (8,-2) passes through the point (9,-8). Compute the following. a.)…

A:

Q: F Find the arclength of the curve x = = 2 cos(5t), y = 2 sin(5t) with 0 ≤t≤ 20

A: To find the arc length of the curve x=2 cos5t, y=2 sin5t with 0≤t≤π20.

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: here we use the definition of continuity.

Q: Find all solutions of each equation on the interval [0, 2π). sec² x + tan x = 1

A: sec2x+tanx=1  in [0,2π)formula used  1+tan2x=sec2x

Q: Find points on the curve y = x²e where the tangent line is horizontal (write points in the form (x,…

A:

Q: could you clarify part a please ? is that a g? or a 9? what is part a answer??

A: Given that f(x)=x2-5x-14x-7we have to find limx→7f(x)

Q: Evaluate the integral using Integration by Parts as a first step. sin -1 (x) 5x² dx (Express numbers…

A:

Q: Evaluate the definite integral. In 19 S 0 tanh x dx In 19 S tanh x dx = (Type an exact answer.) 0

A: F=∫0ln19tanhxdxwe know  elnx=xtanhx=ex-e-xex+e-x

Q: if I 5 Use a graph to determine the following limits. Enter DNE if the limit does not exist. lim…

A:

Q: For x = 7t² and y = 7 - 8t, find dy/dx. 1. dy -8 dt 2. de dt 3. dy dx 8

A:

Q: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h =…

A: We are required to find the average rate of change of  function f(x)=32x2 over the intervals [a, a +…

Q: s is given by h(t) = 49t - 0.83t². Find the average velocity over the given time intervals. 3,3.5]

A: we are asked to find the average velocity

Q: A lab rat is escaping, and its position is given by f(t).  Once f(t) is greater than or equal to 5…

A:

Q: The following table shows soybean production, in millions of tons, as a function of the cultivated…

A: The following table shows soybean production, in millions of tons, as a function  of the cultivated…

Q: Find All Solutions 1+ cos x = sin a on the interval [0,2π)

A:

Q: d(A x B) dt. = A x dB dt d.A dt. X B

A: Please see the below picture for detailed solution.

Q: Let f(x) = 3e-2x4, in its domain a) f is a monotone function. b) f has a local minimum. c) f has a…

A: Introduction: To determine the local minimum and maximum, concave or convex and monotone in which…

Q: Let f be a continuous function on [-2, 8] such that f(-2) = ƒ(8) = 7. Which of the following is a…

A: Note :As per our guidelines we are supposed to answer Only first three subparts of a question.…

Q: 47, 48, 49, 50, 51, and 52 A solid is obtained by rotating the shaded region about the specified…

A: given curve y =sinxthe shaded part is rotating around x axis then for finding volume of obtained…

Q: For the given functions f and g, find the requested function and state its domain. f(x) = x-9; g(x)…

A: given  f(x)=x-9g(x)=9x2(f+g)(x)=f(x)+g(x)

Q: Find two natural numbers that are multiples of both 12 and 15.

A: To find the numbers that are multiples of both 12 and 15 For this we have find LCM of 12 and 15