Estimate the area of the region between the function and the x-axis on the given interval using n = 6 and using, (a) the right end points of the subintervals for the height of the rectangles, (b) the left end points of the subintervals for the height of the rectangles and, (c) the midpoints of the subintervals for the height of the rectangles. 3.Determine the area between f (x) = a? +1 on [0, 2]. %3D

Q: Consider the following sequence: 9" {an} %3D 4n2 n=1 An+1 to show that the given sequence {an} is st...

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

Q: Differentiate the function P= 9000(1.01)*. %3D NOTE: Enter the exact answer. P'(t) =

A:

Q: (2x – 5, x 2 0 lim h(x) = x→-4 where h(x) = x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4.001 approa...

A:

Q: Determine the exact values of the six trigonometric functions of the angle 0. (a) (15, -8) sin(0) = ...

A:

Q: Spot the mistake/s in the solution. Tick the box that applies. Se*cos x dx -e^cas X - Se*sinx dx e o...

A: The given integration,       ∫excosx dx

Q: Please show steps clearly, thank you!!

A:

Q: 4. To say that a function f is continuous at a point means that the graph is A. broken at that point...

A: To answer the given questions about continuity and limit.

Q: y = -2f (x) +1.

A:

Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

A:

Q: 4. sin 5. y = x ArcCC 1 + v1-x² 2+X 6. y = Arccot x + Arctan 1-2x >| ×

A:

Q: Find A-x) and determine whetherfis odd, even, or neither. 4) f(x) = 4x - Sx4 4)

A:

Q: 2. A hemisphere of radus 12 nches and base up is full of water that runs out through an orifice of a...

A: Dimensions of a hemisphere tank are: Radius R=12 inches or 0.3048 mHeight of tank H1=Radius of tank ...

Q: dy Find for: dx tanx a) y = xaT b) y = (Inx + x)'

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Evaluate the definite integral. Round your final answer to three decimals. 53 298, 512 dt t3 Vt? – 3...

A:

Q: 1. lim f(x) = x-1 ; lim f(x) : lim f(x): f(x) 5 X-1 2. f(1) = 4 3 3. X-1 lim f(x) = ; lim f(x) = ; l...

A: According to bartleby guidelines I can only answer the first three subparts of the given question. P...

Q: Find the values of the six trigonometric functions of 0. (If an answer is undefined, enter UNDEFINED...

A: Solution )csc(θ) = 6   1 + cot2 θ = csc2 θ 1 + cot2 θ = 62 1 + cot2 θ = 36  cot2 θ = 36 - 1 Cot2 θ =...

Q: Given Cost and Revenue functions C(q) = q° - 11q + 55q + 5000 and R(q) = - 3q +2600q, what is the ma...

A:

Q: To test this series for convergence n° +1 1 where p no You could use the Limit Comparison Test, comp...

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: (x2 - 1) dy = ((1 + x)? - 2y) dx %3!

A: NOTE: Refresh your page if you can't see any equations. .

Q: b)Consider the graph of y = (2x − x^2)^1/2 on the interval 0 ≤ x ≤ 2. Compute         the area of th...

A:

Q: Find the value of m such that g(x) = {x+5 , if x ≤ m} and g(x) = {2x - 3 , if x > m} is continuous a...

A: Function limit and continuity 

Q: Differentiate y = (x² + 7x – 1)(5x + 2)

A: We have to differentiate y with respect to y

Q: Evaluate the following integral (please write it out, instead of tying if possible)

A:

Q: Find the given 5x? cos 2x dx. Using this: "uv – f v du"

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts take 

Q: 35x − 6 = 81 Solving for x. Exponential Functions

A: Given: - The exponential function is, 35x-6=81 To solve: - The solution of the given exponential fun...

Q: dy/dx% 3 sec 2xsec3y

A:

Q: f'(t) = sin tf (t).

A: Given that: f'(t)=sin t f(t)...(1)

Q: Ae"+ Be`t I Eliminote the arbitrary constants y Iny

A: ylny=Aex+Be-x

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0

A:

Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

Q: The cost, in dollars, of producing x units of a certain item is given by C (x) = 15x - 4VE – 9. Find...

A:

Q: Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or stric...

A: The given sequence is: an=n12n+2

Q: 10. The function's value will always be greater than or equal to the local linear approximation of a...

A: For the given statement

Q: 1. lim g(x) = X--1- ; lim g(x) ; lim g(x) %3D r-1+ X--1 3 2. g(-1) = 2- 1. lim g(x) = ; lim g(x) = X...

A:

Q: (ev+1)² eY dx + (e* + 1)3 e* dy = 0

A: we have given(ey+1)2e-y dx +(ex+1)3e-x dy= 0

Q: f(x) = 1/9 -1/x+9 divided by 9x Complete the table. (Round your answers to four decimal places.) x −...

A:

Q: 1 + X = 8 1sys 2 4y2'

A:

Q: For the given double integral, sketch the region of integration and reverse the order of integration...

A:

Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: Circulation time is the average amount of time it takes for all the blood in the body to circulate o...

A: We know, d/dx (xm)= mx(m-1) , for any real number m.

Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: 2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D х...

A:

Q: tim X=9 2 メー→3

A: Given query is to find the value of the limit.

Q: 16 -4 -2 2 4 -16 Figure for 80 80. Graphical Reasoning The graph of the first derivative of a functi...

A: (a)Increasing means, f'(x)&gt;0 so x∈(-4,-2)∪(-2,1)(b)Concave upward means f''(x)&gt;0 ; slope of f'...

Q: Finding the Area of a Triangle Use the diagram of the triangle in Figure A to answer the questions. ...

A: Since each small square has a side length of 1 mm, and as we can see that the base is equal to 8 sid...

Q: Let f(x) =Ex-12. Find Ihe fallewing fla)=) +f72)3=

A: Function value

Q: Show complete and detailed solution of the differential equations 1. x(dy/dx)+(1+x)y=e-xsin2x

A:

Q: Find the equation of the tangent line to the graph of y = 6" at x 1. NOTE: Round the slope to one de...

A: y=6x The point is at x=1: At x=1, y=61=6 So, the point is (1,6)

Q: Solve cot x-v3 =0 over [0,2t)

A:

Q: 1 if x is an integer Let f be the function defined by f(x) = { oif x is not an integer a.) Sketch th...

A: The given function,f(x)=1if x is an integer0if x is not an integer