Find c  such that the function f(x)={x^2−9x≤c, 2x−10 x>c } is continuous everywhere.

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


Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Suppose that a function y = f(x) is continuous on I = [a,b] and if the set f(I) = [f(a),f(b)], then ...

A: Click to see the answer

Q: 18 Water Pollut ion A ruptured Pipe in a North Sea oil rg produces a circular oil Slick that is y me...

A: given: A ruptured pipe in a North sea oil rig produces a circular oil slick that is y meters thick a...

Q: determine the exponential function passing through (1,2) (2,6) and (3,18)

A: Given An exponential function passing through (1,2)  (2,6)   and   (3,18)  We have to find the expon...

Q: Calculate 43/2 in two different ways.

A: Way 1, 43/2 = ((√4)²)3/2         = (√4)³         = √4 * √4 * √4          = 2 * 2 * 2 43/2 = 8  

Q: How do I take a fraction with trinomials and times it by another fraction with trinomials? Can you s...

A: Given,           x2-6x+9x2-x-6·3x+62x2-7x+3

Q: Find the area of triangle ABC a=3 b=5 c=6

A: Click to see the answer

Q: If a,b,c,d are in continued properties,prove that

A:   a, b, c, d are in continued proportion Therefore, we have ab = bc = cd = k (say) c=dk, b=ck=dk2, a...

Q: Please show all steps

A: Click to see the answer

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) xy/square...

A: The given limit is lim(x,y)→(0,0)xyx2+y2. Substitute x=rcosθ,y=rsinθ in the above equation. lim(x,y)...

Q: Please solve the integral using u-substitution. Thank you.

A: Our Aim is to solve the integral given below:-∫sin (t) sin (2t) dt -(i)

Q: solve dy/dx +ysec x = tan x

A: Click to see the answer

Q: question will save this response. uestion 2 Find the upper bound of zdz, Cis the line segment from 1...

A: Click to see the answer

Q: direction field for equation xy'=x-y at which point is parallel to the line y=3x+5

A: Click to see the answer

Q: please help with question 1

A: Click to see the answer

Q: 2) We only know the coordinate of one point on that tangent line. So we can’t find its slope easily....

A: Find the solution below:

Q: For the parabola 2x-3y 0, find the co-ordinates of the focus, equation of the directrix and sketch.

A: Since you have asked multiple questions in single request. So we will answering only first question.

Q: 1.

A: Note: Please mention the exact required question number for help. (1) Given Initial quantity of subs...

Q: Use a change of variables or the accompanying table to evaluate the following indefinite integral. 1...

A: Find the below solution

Q: You want to learn Mathematics. You have to complete at least 10 arithmetic tests and logic tests wit...

A: Click to see the answer

Q: Find the length of the arc of the curve y=lnx over the interval: [1,6]. Round the answer to four dec...

A: The formula for the arc length of the curve is L=∫ab1+dydx2 dx  or  ∫cd1+dxdy2  dy Here, the given f...

Q: -2 12 Q2: Find eigenvalues and eigenvectors of the matrix A, where A = 5. then Check A = PDP-1, %3D ...

A: Click to see the answer

Q: Determine the derivatives of the following functions. (i) f(x) = 4x/x+ Vx %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: I’m trying to calculate the surface area generated by revolving the curve y=2sqrt(x) at 4

A: Click to see the answer

Q: Help

A: Our Aim is to simplify the expression given below:-(-4x12y6×3x-9y7)(8x4y-2)-(i)

Q: 1. Find the area of the region between the curves X = (y – 1)ª and X = 1. A picture of the region is...

A: Click to see the answer

Q: (x/3y+3y/x)^8 expand using binomial theorem

A: Click to see the answer

Q: how to differentiate 350000/q+7500+0.25q

A: Consider the equation is, y=350000q+7500+0.25q

Q: Can you help me with this question for my homework

A: Click to see the answer

Q: Solve the triangle if possible B=57 degree a=11 b=10

A: given  B=57°b=10a=11

Q: What transformations to the graph of y = x'are made when the following equation is graphed? y = -(3x...

A: Given function is: y=x3 And the transformed equation is: y=-3x-63+4  

Q: Calculate the exact slope m (rather than a decimal approximation) of the straight line through the g...

A: Click to see the answer

Q: 1. Determine the roots of the following simultaneous nonlinear equations using multiple-equation New...

A: For the given  initial guesses  x0= 0, y0 =1 5x2-y2=2 5x-2y2=-6

Q: What's a parameterized version of the curve given by y - 3 = x + sin x? A. y = -3t, x = y+ sin t OB....

A: The equation of the curve is y-3=x+sin x. That is, the equation can be rewritten as, y=x+sin x+3.

Q: I only need (b) part of the question. thx

A: Click to see the answer

Q: Find fogoh. f(x) = 3x – 1, g(x) = sin(x), h(x) = x2 %3D

A: Given function: fx=3x-1......(1)gx=sinx......(2)hx=x2......(3) The objective is to find fogoh  

Q: b

A: Click to see the answer

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A: Click to see the answer

Q: A large department store is prepared to buy 3,800 of your tie-dye shower curtains per month for $4 e...

A: Click to see the answer

Q: t. Find f' (x) = lim,→0 f(x+h)-f(x) for f (x) = Vax

A: We have to find the derivative of given function using first principle of differentiation.

Q: 1 The function value for f( x ) 2 is: at x = x²+x+1 1/8 1/7 1/5 1/4 7 none of the above

A: To find the value of f(x) at x=2

Q: Find the degree, leading coefficient, and the constant term of the polynomial. f(x) = 1 – 5a – 3x - ...

A: Find the degree,leading coefficient and the constant term of the polynomial.   fx=1-5x4-3x5-4x

Q: Vx+12-4 3. Confirm your result in the problem 2 by evaluating lim X-4 algebraically. x-4

A: Click to see the answer

Q: Determine the derivatives of the following functions. (1) f(x) = 4x/x+ Vx S(«) = cos (eva 3 (ii) tan...

A: Part i,Given,          fx=4xx+x

Q: what is 20% of 5

A: Given number is 5. The Objective is to find the 20% of 5.

Q: Find tbe area of a triangle ABC a=10 b=6 C=50 degree

A: Click to see the answer

Q: Given the function P(z) = (x – 2)( + 4), find its y-intercept is its z-intercepts are 1 = and r3 = w...

A: Given function P(x)=x(x-2)(x+4)

Q: Consider the following table of data: 0.2 0.4 0.6 0.8 1.0 1.2 1.4 f (x) 1 3 11 18 27 40 56 a) Use se...

A: Click to see the answer

Q: calculate the following integral | coszd(|sinx|)

A: Evaluate: ∫-ππcosxdsinx

Q: A new bakery is being planned somewhere in the vicinity of the Safeway and the Giant, which are 5 mi...

A: Given, bakery is less than 4miles from safeway and atleast 3miles from giant. now region of location...

Q: Find a vector a with representation given by the directed line segment  AB. A(−3, 1),    B(3, 2)

A: To find the vector represented Given by the given by the line segment