A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not continuous at a. 2. f(a) could either be defined or redefined so that the new function is continuous at a. 2x²+6x-20 Let f(x) = x-2 Show that f has a removable discontinuity at 2 and determine the value for f(2) that would make f continuous at 2. Need to redefine f(2)=

Q: 2. integral, and evaluate the integral using an appropriate formula from geometry. (a) 2 -5 Sketch…

A: Question No. (a):To sketch the region whose area is represented by the definite integral, and to…

Q: Given y = - 2x²5 + 3x³_x+1, determine:- a] Dominant term. b] End Behavior. c] maximum d] Minimum.…

A: Given:polynomial To find:a) dominant term. b) end behavior c) maximum number of roots. d) minimum…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t³…

A:

Q: Consider the functions f: R -> R given by f(x) = 2 + 3x + x2cos(1/x), when x > 0 f(x) = 2 + 3x…

A:

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest hundredth.…

A:

Q: Question content area top Part 1 Suppose that in 16931693​, a man bought a diamond worth the…

A: The objective of this question is to calculate the future value of an investment with continuous…

Q: Determine the Maclaurin series of f(x) using known series.

A: find the Maclaurin series of f(x)

Q: 1 6+x equation of the tangent line at that point. For f(x) = the slope of the graph of y = f(x) is…

A:

Q: Given  h(r) =  1 r + 5 ,  find the following. h(x2) + 1

A: The answer is as follows:h(x2)+1=x2+5x2+6​.Explanation:Steps and explanations are as follows:In case…

Q: Calculus I May I please have the solutions for the following question? Thank you so much.

A: To find:-

Q: If y = f(x), then f'(x), y', [Select] dy da and f(x) all represent the of fat x.

A: If , then to determine the meaning of .

Q: on Find the radius of convergence of the power series. Ž M = 0 (4x)²n (2n)! Select one: a. 8 O b. 4…

A:

Q: True or false and justify answer: f(4)-√2 2 1-sin²x, then fax)= COSX

A:

Q: The accompanying graph shows the total distance s traveled by a bicyclist after t hours. Distance…

A: The average speed of bicyclist over the interval  is

Q: a) lim 0-x x+4-√4-x x d) lim √4 - x X-4+

A: (a) L=limx→0x+4−4−xx

Q: Compute the distance from the point Q(4,-3,-5) to the plane 2x-3y+z-6=0. Round the distance to four…

A: The given plane is,   and the point is .We have to determine the distance from the point to the…

Q: Evaluate the iterated integral. -√y ST 5xy² dx dy

A: Let assume,

Q: Find each limit. f(x, y) = 4x² + 3y² f(x + Ax, y) - f(x, y) ΔΧ (a) lim Ax → 0 (b) lim Ay → 0 f(x,y +…

A:

Q: Find the indefinite integral using an appropriate trigonometric substitution and showing a right…

A:

Q: The Radius of a Right circular cylinder is given. by √t +2 and its height by 0.5/E, where It is time…

A: We are given the radius and the height of the cylinder and we need to find out the rate of change of…

Q: Find the derivative of the function. 4 y = =sec² x sec² 5 O a) a) y'=sec² sec² xtanx

A:

Q: Find the intercepts and range of the function f(x) = 4x2. 4. Instructions: Type the x-intercept with…

A:

Q: Use Part 2 of the Fundamental Theorem of Calculus to find 0 the derivative [['t t sec(t) dt]. X d dx…

A:

Q: Find the equations of any vertical asymptotes, sketch graphs, and use graphs to find the limits -5…

A: The given function is

Q: uppose that Jupiter rotates on its axis once every 10 hours. The equator lies on a circle with a…

A:

Q: Allison lives in Whoville, which has coordinates of 60° N, 98° W. (Earth's radius is 3960 miles)…

A:

Q: Ex 6. Create a table (and a graph) of values of f(x) conjecture about the value of lim f(x). x+1/2…

A: The given function is

Q: A ball is tossed up vertically from ground level and returns to earth 1 s later. What was the…

A: A ball is tossed up vertically from ground level and returns to earth 1 sec later.

Q: 3x²+x+4 x³ + x 3 dx

A: To find the following indefinite integral by using Partial Fraction Decompositionwith the method of…

Q: What are the predicted total sales 7 months from now? Round to the nearest dollar. $______ What is…

A:

Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

A:

Q: 13. Evaluate the limit for the graph: lim¸(1 − x + x²) Xx→-1 a. 0 b. 1 14. Evaluate the limit for…

A:

Q: GENERAL FORM: The instantaneous velocity of an object with position function s(t) at t = a [using…

A:

Q: Use the graph to evaluate the limit lim f(x) 351 3- 2- 14 -1 A 4 2 G OA. 0 OB. -2 OC. does not exist…

A: We need to find out the limit.

Q: Determine the limit by sketching an appropriate graph. lim f(x), where f(x) = X-4 OA. 4 OB. 3 OC. 0…

A:

Q: Find f'(x) for f(x) = 8x³. f'(x) =

A: To find .

Q: A firm can produce only 4900 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: Use the definition of area as a Riemann sum (as we did in Section 4.4) to compute the area between…

A: The area under the curve over the interval  is  Here

Q: A = Pe ¹¹ dt where P is a constant and t is time, in years.

A:

Q: Compute the derivative of f(x) = 5 tan(x) sec(x).

A: f(x)=5tan⁡(x)sec⁡(x)Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: 8 7 5- Mi 3. 6- -1 2 3 Based on the graph above, estimate (to one decimal place) the average rate of…

A:

Q: Oppgave 3 Bestem om rekken konvergerer absolutt, betinget eller divergerer: Σ(-1)”; n n² + 2n n=1

A: To determine whether the series converges absolutely, conditionally or diverges.

Q: Define vectors a= and b= and compute the following. Show work and explain reasoning

A: The given vectors are  and

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: A graph of the piecewise-defined function is given.The objective is to find the equation of the…

Q: For the function -x³y² + x²y²=y³-5y do the following

A: (a) −x3y2+x2y2=y3−5yddx(−x3y2+x2y2)=ddx(y3−5y) Using the power Ruleddxxn=nxn−1

Q: A person x inches tall has a pulse rate of y beats per minute, as given approximately by 1/2 y =…

A: A person x inches tall has a pulse rate of y beats per minute, as given approximately by y=584x−1/2…

Q: A car is traveling at a rate of 26 feet per second when the brakes are applied. The position…

A:

Q: = 6. Use the quotient rule to find f'(1) where f(x) = 5x 3x²+1

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Task 1 The variation of resistance R ohms, of an aluminium conductor with temperature º C is given…

A: Note: Since you have posted multiple questions, we will provide the solution only of the first…

Q: Find y' for y=3x-3-7x-¹. y'=0

A: