Question
Find the values of a and b that make f continuous everywhere.
x² -
if x < 2
X - 2
ax? - bx + 1
4x — а + b
f(x) =
if 2 < x < 3
if x 2 3
a =
b =
Expand
Transcribed Image Text

Find the values of a and b that make f continuous everywhere. x² - if x < 2 X - 2 ax? - bx + 1 4x — а + b f(x) = if 2 < x < 3 if x 2 3 a = b =

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: find lim x-&gt; 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is constan...

Q: If f(x) = 2x + 2x – 7, find the equation of the line tangent at z = - 2. -6 Preview

A: Explanation is given below..

Q: 6) Sketch the region whose area is given by the definite integral and use geometric formulas to eval...

A: The integral means the area between y=2x+4 line and x-axis, for 0≤x≤10. Or we can say that the integ...

Q: Find the equation of the tangent line to the curve at the given point. y = 9x – 8/x, (1, 1) %3D

A: Given,           Equation of the curve is y = 9x -8x  and point = (1,1)

Q: Use the properties of integrals to evaluate integral 0 to 1 (4+3x2 ) dx

A: Given: I=∫014+3x2dx for evaluating given integral, first we separate terms then integrate it

Q: Find v × u if u × v = 3i + 2j - 7k.

A: v x u = - (u x v)  

Q: (a) Find the length of the projection of w onto v given that w = (-1,-3) and v = (2,2). (b) A 200 kg...

A: Click to see the answer

Q: Setup cylindrical only

A: Given: Equation of cone z=x2+y2 Equation of sphere x2+y2+z2=2

Q: A point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the...

A: Given:           Point = 817,-1517     Hence, We have           x=817, y=-1517      

Q: Find the slope of the line passing through pair of points (-2, 4) and (-1, -1) or state that the slo...

A: Given:x1,y1=-2,4, x2,y2= -1,-1m=y2-y1x2-x1

Q: By about how much will ƒ(x, y, z) = ln√(x2 + y2 + z2) change if the point P(x, y, z) moves from P0(3...

A: The given function is, fx,y,z=lnx2+y2+z2 distance ds=0.1 unit in the direction of 3i+6j-2k    

Q: Find the absolute maximum value of ƒ(x) = x2 ln (1/x) and say where it occurs.

A: Given function is fx=x2ln1x.

Q: De termine the volume Of the Lorgest rectangular box in the first OCtant wsth three faces M the Cour...

A: Given, The three faces of the rectangular box is in the coordinate planes with one vertex at the ori...

Q: .2 x +1 Find dy/dx given that y x2 – 1

A: Click to see the answer

Q: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if...

Q: Find the derivative of ƒ(x, y) = xey + cos (xy) at the point (2, 0) in the direction of v = 3i - 4j.

A: Given: f(x,y)=xey+cos(xy) at point (2,0) in the diection of v=3i−4j

Q: differentiate y = (cosx)cotx for cosx &gt;0 and simplify

A: Consider the function y=cosxcotx Take logarithmic both sides lny=lncosxcotxlny=cotx⋅lncosx Different...

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of th...

A: Click to see the answer

Q: Setup cylindrical only

A: E is the region that lies inside the cylinder x2+y2=16 and between the planes z=-5 and z=4 Change th...

Q: Use the remainder theorem to find the remainder when​ f(x) is divided by the given x−k.f(x)=3x2-4x+4...

A: Click to see the answer

Q: The position vector r describes the path of an object moving in space. (a) Find the velocity vector,...

A: Given Position Vector r(t) = ⟨t, −tan t, et⟩ Time t=0

Q: If g(t) = 3t + 2t, find all t for which g'(t) = 0. %3D t = Preview

A: Click to see the answer

Q: Suppose that in a certain region of space the electric potential V is given by the function V (x, y,...

A: Click to see the answer

Q: Use transformations of f(x) = 1/x or f(x) = 1/x2 to graph the rational function: g(x) =1/(x + 2)2

A: To determine: Graph of g(x)=1x+22 using graph of f(x)=1x or f(x)=1x2    

Q: Compute the integral of f(x, y, z) = y2 over the region within the cylinder x 2 + y2 = 4, where 0 &l...

A: Given f(x,y,z)=y2  

Q: Use the given zeros to write the complete factored form of​ f(x).f(x)=x3-6x2-7x+60; zeros: -3,4,5f(x...

A: If fx is any expression, and a, b, c are its zeros. Then, its factors are given by: x-a, x-b, x-c An...

Q: Divide the first polynomial by the second. State the quotient and remainder.2x4-5x3-4x2-19x+12      ...

A: Click to see the answer

Q: A company produces chocolate Easter bunnies at a cost per unit of 0.50 + 0.005x dollars, where x is ...

A: Given that the cost of producing 1 unit= 0.50+0.005x  So the cost of producing x units= x(0.50+0.005...

Q: Please help me solve (a) find the velocity function (b)find the acceleration function

A: Given position function, s(t) =e3t sin(7t)

Q: Evaluate the series or state that it diverges. 3k Σ k=2

A: Click to see the answer

Q: Verify the identity: (1 - tan x)/sin x = csc x - sec x

A: Click to see the answer

Q: find dy/dx using implicit differentiation for 2 sqrt 2x+y = tan-1(xy2)and simplify

A: Click to see the answer

Q: 3 Evaluate 7x? dx 1 7 (Hint: f(x) = 72? and F(x) = a*) 3

A: The given integral is: ∫137x2dx Since, 7 is a constant, so take it out side. ∫137x2dx=7∫13x2dx The i...

Q: dy Find if dx V(2? + 7) 5. 3 dy %3D

A: Click to see the answer