Continuity of Functions at a Point Determine if the given functions f(x) are continuous or not at the given value of x. Show your complete solution. 1. f(x) = x2 + 2x +1 at x 2 %3D Answer:

Q: The slope of curve is given as (2x + b + ) and has a value of 17 2x3 at x = 2. What is the value 16 ...

A: Topic   = Integartion

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x2 + 10. ...

A: Given, P-profit x-number of units sold dP/dx= 0.0006x²+10  

Q: cOS X -dx | sin? x

A:

Q: (:) 8. dw 4. 6tan w

A:

Q: 19. Find the total area between the parabola y = x2 - 4x, the x-axis, and the ordinates x = -2 and x...

A: We can use integration to calculate the area

Q: Tuition cost, T(in dollars) for part-time students at Stonewall College is given by T = 300 + 200C ,...

A:

Q: What should be the rewrite of the integrand ofSAS dx so that the resulting integral is integrable? (...

A:

Q: dy x²+3 dx х-ху 1. Both 2 and 3 2. Integrating Factor – First order Leaner 3. Separable method 4. Ex...

A: Solve  dy/dx= (x2+3)/(x-xy) 

Q: A bulletin board can be covered completely by 36 squste pieces of prater without any gaps or overlap...

A: Solution: 6. square paper side = 1 foot

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. ... 32 А.) В.) 18 s.u. s.u. C.) 36 s...

A: Topic = Area Area = 36 s.u.

Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

A:

Q: Compute fx, fy: f (x, y) = arctan(xy)

A:

Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: 5dx If Verz+1= 2, what is the value of b? %3D A.) 2 B.) 4 C.) 8 D.) 9 A D B A

A:

Q: dx What should be the rewrite of the integrand of f so that the resulting integral is integrable? 1+...

A: We have to find integrand 

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y = 2x – y ...

A: We need to solve the D.E.

Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: Question 12 dy If dx and y = when x = 1, find y(2). %3D V3x-2 2 (A) 27 40 B) 27 27 26 27

A:

Q: What should be the rewrite of the integrand of f dx so that the resulting integral is integrable? x2...

A: solution:-∫2x+52x2dxnow,2x+52x2=4x2+20x+25x2              =4x2x2+20xx2+25x2              =4+20x-1+25...

Q: (x² +3y² +5)dx +(6xy+ 6y+3)dy = 0 Identify the exactness of the differential equation. Calculate the...

A:

Q: If f. g and h are functions defined on the set of real numbers defined by: F(x)= 3x+1, g(x) = 2x -1 ...

A:

Q: tan^4x=tan^2x sec^2x-tan^2x Verify the identity

A: Given:- tan4(x)=tan2(x) sec2(x) - tan2(x) To find:- verify the given identify

Q: Given the geometric sequence: 36, 120, 400, ... Find an explicit formula for an, where the first ter...

A:

Q: C 1000 A В

A:  We know that law of sine is : SinA/a = SinB/b = SinC/c. Here A,B,C are angle of triangle and a,b,c ...

Q: Given a function f (x) whose graph is shown below. 3 2 h -3 2 -11 2 3 -2- Determine lim f (x).

A:

Q: 13. S S(x)dx = 5, f(x)dx = 2, and f f(x) dx = -1, find f(x)dx. If %3D а. —2 b. 2 С. —3 d. 3

A:

Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

A: To determine:

Q: LINEAR DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS (STEP BY STEP SOLUTION) (D4 - 1)y = e*

A: Please see the below picture for detailed solution. 

Q: 4. Determine if the relations given by the graphs below give y as a function of x. If so, determine ...

A:

Q: (b) What is the average rate of change in the size of the tumor during the first two months? Round y...

A:

Q: cOs X sin? x

A: Given:- ∫cosxsin2xdx Formula:- we use substiution method and formula ∫xndx=xn+1n+1+C

Q: Find the domain of the function. (Enter your answer using interval notation.) 3x3 - 2 f(x) = x2 + 3x...

A: Let's find. 

Q: Identify the type of generalized integral +00 fx'e* dx- and in continuity (if converging) to be calc...

A: According to question,Given Integral,Let I= ∫0+∞ x2ex3 dx

Q: Evaluate the integral of xydx from x =3 to x=6 when x = 6cos angle and y=2cos angle

A:

Q: The slope of curve is given as (2x + b+) and has a value of 17 at x = 2. What is the value 16 of y w...

A: Topic = Integration

Q: (αv) ^(rv (φλq) ^ Γv )]

A: The given statement      r∨p∧~r∨p∧q∧r∨q

Q: Bin decides to fly to Hono, Maui from Seattle, a distance of 2,678 miles. His plane travels at 567 m...

A:

Q: What is the position function?

A:

Q: * Limits of Polynomial, Rational, & Radical Functions Evaluate the given limits. 1. lim Vx+ 16 X-7

A: Here we have to evaluate the given limit.

Q: 20. Find the equation of the curve for which y" = x, and which passes through the point (1, 2) and t...

A:

Q: 13

A:

Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

A:

Q: Use the graph to find the limit (if it exists). 10 lim f(x), where f(x) = (8 – x, x + -4 5 x = -4 -1...

A: Given :lim x→-4f(x) 8-x,x≠-45x=-4

Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y = ...

A:

Q: Question 5 The slope of curve is given as (2x + b + 5) and has a value of at x = 2. What is the valu...

A:

Q: 16x2 - 25 -da Evaluate the integral: 23 (A) Which trig substitution is correct for this integral? O ...

A:

Q: Solve the given linear differential equation with constant coefficients. Solve each and show complet...

A: Its A.E. is D4 – 4D3 + 7D2 – 4D + 6=0                            (D2+1)(D2-4D+6)=0 Now, D2+1=0      ...

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a func...

A:

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

A: According to the question: It is given that dPdx=0.0006x2+10. we have to find P when x=100. Now  dPd...

Q: Find the slope of the curve at the indicated point. find the equations of the tangent and normal lin...

A: Follow the procedure given below.