8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x < 2 f(x) = 10 for x = 2 + Bx + 2 for x > 2 ^ Ax³

Q: Use the given information to find f '(2). g(2) = 3 and g'(2) = -2 h(2) = -1 and h'(2) = 5 g(x) h(x)…

A: Given, g(2)=3 , g'(2)=-2, h(2)=-1 , h'(2)=5, f(x)=g(x)h(x)

Q: Question 32 What integration technique can be used to integrate: A Trigonometric Substitution B)…

A:

Q: If you evaluate the integral expression Blank 1 Add your answer 2x-1 - 3|dx the result is Blank 1…

A:

Q: If you evaluate the integral expression |2x - 3|dx the result is Blank 1 (use fraction or decimal in…

A:

Q: f(4)(x) an f(³)(x) = √√√x, f(4) (x) 6 7(6√x) X

A:

Q: 2 a do (x + 2)²0 Using Simpson's method proper rounding off, no spaces) -dx for n=4 is equal to…

A:

Q: Question 1 Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b], then [f(x)dxz g(x)dx…

A:

Q: For each system below that is linear, determine whether it is consistent. (a) 3x₁ - x4 = 1 3x₁ + 3x₂…

A:

Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: Let Ley) = y(4) + y (3) - 7y (2) _y (¹) + 6y al solue: Lys = 36t-24e² > " where = y (o)=y'(o) =y"…

A:

Q: cos(x3 (A) True B) False dx=0

A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0.

Q: Question 2 Iff and g are continuous on [a,b], then t True B) False in √ [f(x)g(x)]dx = {√°f(x)dx)(√°…

A: Given that f and g are continuous function on [a,b].

Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

Q: To integrate x3x² dx' Ox хех2 242 x² OX we apply integration by parts and in the form u dv, dv is…

A: We have to determine the integral

Q: • Find the sum of the following convergent series. lim lim lim tan ¹ (2n+ 1) - 346 11 11 11 [tan…

A: Given problem:-

Q: ,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

A:

Q: 6. (10 points) Give the equation of the tangent line of the following function at point a = 1: xe…

A: Solve by Differentiation

Q: Integral of Exponential & Logarithr Determine the integral of the ff. functions. 1. - 20 e 4x dx 2.…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 5. f sin x cos x dx

A:

Q: 1. dx x-19-x

A: Given :∫dxx49-x2

Q: 1²₁ (886x5)) dx = 0 cos(x3 A) True B) False

A: Answer is following.

Q: Use Figure 1 to evaluate each trigonometric function of angle AA. The side adjacent to angle AA has…

A: Given; The side adjacent to angle A has length 4 and the side opposite angle A has length 14.

Q: -dx = 4 -2 X (A) True B) False m100

A:

Q: Ive what is asked in the following problems. Write your solutions and box your final answer 1. Find…

A: Let's find tangent line and normal line equation.

Q: L= dx= 1 -2 X 2x4 (A) True B) False | m 100

A: Use basic integration to evaluate definite integration.

Q: dy dt when x = 2. Let xy = 3 and Find dx dt 5.

A:

Q: 5 dx In evaluating 1 is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.91.…

A: ∫ 351x2-9dx

Q: Iff is continuous on [a,b], and f(x) 20 then A True False ر VFX √f(x) dx = dx = √5 F(x f(x) dx

A:

Q: Question R is the region bounded by the functions f(x) = -and g(x)=-. Find the area A of R. Enter an…

A:

Q: The graph of f is given. y 3 * X -4 2 (b) What are the domain and range of f−1? (Enter your answers…

A:

Q: A bicycle with 20-inch diameter wheels is traveling at 17 mi/h. Find the angular speed of the wheels…

A:

Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: 5. Given that W 8.25 √y The value of x,y and z are measured with maximum percentage error of 1%, 2%…

A: Let's find maximum percentage error in w.

Q: 1. Determine the infinite (oo or -o) limit as follows: x² - 2 (a) lim x2-x² - 3x + 2 sin x 1 x+ cos…

A: Topic = Limits

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: Given than f(x) f²f(x) dx = −4 and Ⓒ [ƒ (2) de- f (x) dx = 20 (A) f dx [ B [²] ƒ (x) dx − [ª* ³ƒ (x)…

A: To find out the option which is not correct.

Q: Find the length of the arc of a circle of diameter 10meters subtended by a central angle of π/4…

A: Given:  diameter =10meters

Q: 2 ist dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding off, no Jo (x + 2)²…

A: Given,  ∫012x+22dx ,  n=4

Q: In evaluating 5 dx , is same as evaluating_lim_(in(f(x))). Determine the value of f(x) if x=4.6. -

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Let's find absolute maximum and minimum value of given function.

Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. Show solution and…

A:

Q: The population of a city is modeled by the equation  P(t)=335,242e0.25t where tt is measured in…

A: Basic properties of ln are used

Q: In evaluating 5 dx =, is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=4.6.…

A:

Q: Suppose a population of fruit flies changes at a rate of g(t) = -3e0.01, in flies per day. If the…

A:

Q: What substitution should be used to solve the integral O sin u=3x/2 sec u =2x/3 sec u =3x/2 O tan u…

A: We have to solve the integral

Q: (A) True B) False 3

A:

Q: aces)

A: We will find the value of the integral

Q: X X-2 such that (fog)(x) = X +2. Q₁/ let f(x) = , find a function y = g(x)

A: SOLUTION-

Q: Using Trapezoidal method √x dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: We have to find the value of the integration ∫01x dx  with n=4  using trapezoidal method. From…

Q: R is the region bounded by the functions f(x) = -and g(x) = -. Find the area A of R. Enter an exact…

A: The region R is bounded by the functions fx=-4x and gx=4x7-327