Use the areas shown in the figure to evaluate f (x) dr. Area = 10 Area = 9 а b c d y = f(x) Area = 94 A 113 B - 75 -113 75

Q: (2х — Зу + 1)dх — (3х + 2у — 4)dy %3D 0

A: We have to solve the differential equations.

Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

A:

Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

A:

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: Given,            fx=-0.002x2+3.2x-60To find : Find the absolute extrema of the function.

Q: How do you take the integral of 2 * sqrt((t^2 + 1)) ? Can you label notes on each step? I can't see…

A: We will solve this question using integration by parts.

Q: 2. Determine whether the following integral is convergent or divergent. Do not guess! 4 dx x2 – x -…

A: To determine whether the following integral is convergent or divergent.∫04dxx2-x-2

Q: Which of the following integrals are improper? (Select all that apply.) 1 dr 6х — 1 1 dr 2.x – 1 sin…

A: We are asked to find which is improper integral

Q: 3x-4 1. Y= Arctan 4

A:

Q: 2. A= B = 23 DA+B @ Ao+B

A:

Q: 4)Given f(x) = 2x/(x2 + 1) a)Find the derivative. b)Find the critical numbers .

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: The graph shown is f(x) = x³ + 2. 5 4 3-21 1 2 3 4 5 What is the integral function that defines the…

A: The answer is in step 2.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A:

Q: Consider the following planes. Sx+ 6y -2= 66 x- 12y + 22 0 (a) Find the angle between the two…

A:

Q: Determine if the given function is continuous on the given interval a. [2,5) , x <O f(x) = %3D 5x-8…

A: To determine whether the given function is continuous on the given interval.Interval=[2, 5)fx=1x,…

Q: 3- Evaluate the integrals: Lia - 1. x(x - 3) dx 2. 2x + 3) dx 3. 3. 4. 299 dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: What is the reference angle of O if 0= -137°? A 43° B 47° C 137° D 223°

A: Given query is to find references angle.

Q: EXERCISES write the number in the form a + jb. (a) – 31 (b) (8 + j) – (5 +i)

A:

Q: x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

A:

Q: Find the fourth degree Taylor polynomial, T (2), for f(z) at 4. f(x) = 5 In(r - 3) – 4 a) Find the…

A:

Q: Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr'…

A:

Q: 1. Evaluate the integral 2 dx x2 +4x + 20

A:

Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

A: Explanation of the answer is as follows

Q: (sec3x The integral of the given function f (sec dx is \tan3x. cot³3x cot3x + C 3 а. 9 cot3x cot3x…

A: cot2x+1=csc2x sec(x)tan(x)=csc(x) ddx(cotx)=-csc2x ∫xndx=x(n+1)n+1, for any real number n.

Q: What is the value of x in the diagram below? Round your answer to the nearest hundredth. Show all…

A:

Q: Consider the parametric equations below. x = 1+t, y = 1 - 3t, -2sts 3 (a) Sketch the curve by using…

A: Consider the parametric equation  x=1+t,y=1-3t,    -2≤t≤3

Q: Use the following information to answer the next three questions. A model of a house was built using…

A: 2.5cm corresponds to 1m.

Q: Question 13 4x-7x+31x-38 (x+4)(x+2) fraction? dx is equivalent to which of the following integrals…

A:

Q: 3x+4x-2x+8 a) h(x)= b) g(x)= 5x" – 3x + 12x² +1 x*-16 HA HA VA VA SA SA 2x +7x-11 2-9 2x'-x + x-1 c)…

A: We have to use properties of asymptote to solve the problem

Q: 3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and…

A:

Q: Seax sin bx dx

A:

Q: Learning Task 1: For the given functions f(x) and g(x), find ( ° g)(x) 1. f(x) = x² and g(x) = x + 5…

A:

Q: with A parti cle is moving a cc eleratoN at) = 12t+18. Its positian at time t = 0 IS S© =4 and its…

A: This question is related to integration, we will solve it using given information.

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

A:

Q: given

A: Please refer to the image below

Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: Find the solution of the differential equation that satisfies the given initial condition. dy y(0) =…

A:

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: Given graph:-     To find:- For the graph shown, identify a) the point(s) of inflection and b) the…

Q: Determine whether the planes are parallel, orthogonal, or neither. бх — 5y + z %3D4 x + 2y + 4z = 1…

A:

Q: (бх2 — 4x + 5)dx (2x – 1)(3x + 4)dx Jx(vz - 1)dx

A:

Q: 1. The graph of the function f (x) = |x| is transformed by a vertical stretch by a factor of a…

A:

Q: Just algebkaiçal fing the inverse function of f in formally VeRify that f(e10)) =x and

A: Here, to find the inverse of each function and then verify f-1(f(x))=f(f-1(x))=x

Q: How 2 Find the absalute maxima and minima for the funcfion f(x,y) 48xy-32 x - 2u yen the…

A: Find value at critical point and end points.

Q: The integral of the given function ſ cos 3ydy is a. sin 3y +sin³3y + . sin³3y – sin³3y +sin53y + C…

A: Topic :- application of integration

Q: (v- 2) dy -(x-V=1) dy = 0 ans y- 3 =(2- v) In Icly -2 )I

A:

Q: 4. Given f(x) =x+-: a) Find all asymptotes and state their equations. b) Find all local max/min…

A: According to Bartleby guidelines I can only answer the first three sub-questions of the given…

Q: Find the points on the curve r = 1– sin 0 - where the tangent line is horizontal or vertical.

A: To find out the points on the given curve, where the tangent line is horizontal or vertical.

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. sin…

A:

Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

A:

Q: Solve the ff first order DE using integration method, by substitution, or bernoulli's equation. show…

A: