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. Let f(x) 2x245x-75 x-5 Show that f has a removable discontinuity at 5 and determine the value for f(5) that would make f continuous at 5. Need to redefine f(5) = 1

Q: Find st not the X values (if any) Where snon ultues отх 9-х F(x) ) x + 5 X²³-25 f 04 X at which f(x)

A:

Q: Each side of square is increasing at rate of 7 cm/s. At what rate is the area of the square…

A: Considering the side (s) of the square as a function of time. The rate at which the side increases…

Q: Find area of the region under the curve y = 4x³ - 8 and above the x-axis, for 4 ≤ x ≤7. area =

A:

Q: Given a = 3, b = 11, and c = 10, use the Law of Cosines to solve the triangle for the value of A.…

A:

Q: Two ocean liners leave from the same port in Puerto Rico at 10:00 a.m. One travels at a bearing of N…

A:

Q: Practice similar Help me with this Use the ratio test to find the radius of convergence of the power…

A:

Q: 9) Use the table of values below to find the average value of f (x) over the interval 0≤x≤ 20. Show…

A:

Q: Let v=PQ, where P = (3, 5) and Q = (8,8). What is the head of the vector v' equivalent to v based at…

A:

Q: timbre (1 E- 5) Determine whether the improper integral is convergent or divergent: (2²3)² dr -x

A:

Q: The initial and terminal points of AB are given below. Write the vector in component form. A (-5, 2)…

A:

Q: Find a quadratic equation with the given roots. Write your answer in the Suggestion: Make use of the…

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptotes, take…

Q: Question 3 Use the ratio test to determine if the series converges or diverges. n-1 n'e-en O…

A:

Q: Solve the initial value problem. x²y'+xy = 1, y(1) = 4 y =

A:

Q: Consider the following. y = 5xe−x,   y = 0,   x = 2;   about the y-axis Set up an integral for the…

A:

Q: The graphs of f(x) = x²-3x - 4 and g(x) = -2x - 2 intersect at the point (-1,0). The (acute) angle…

A:

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Sketch the graph of the following quadratic surfaces a) 4x² +9y² + z² = 36 b) x²y² 2²=1 c) x² +…

A: Given the equation of curves.

Q: 27, 28, 29 and 30 Evaluate the indefinite integral as a power series. What is the radius of…

A:

Q: x² + x − 1 x(x² − 1) dx

A:

Q: Find all angles in [0°, 360°) that satisfy the equation. √3 sin 0 = O {60°, 300°} O {150°, 210°}…

A:

Q: First find ƒ' and then find ƒ. ƒ"(x) = 5 − (2x³ + 3x²), ƒ'(1) = −3, f(1) = 3. ƒ'(x) f(x) = = 0

A: f''(x)=5-(2x3+3x2),f'(1)=-3,f(1)=3

Q: Given a = 6, b = 10, and c = 5, use the Law of Cosines to solve the triangle for the value of B.…

A: The sides of a triangles are a=6, b=10 and c=5.To find : Use the Law of Cosines to solve…

Q: 4. Categorise (with reasons) the eigenvalues and eigenvectors of the following phase portraits. (a)

A: Given the phase daigram.

Q: Find the first partial derivatives of the function. 4 f(x, y) = x² + 7xy5 X fx(x, y) = fy(x, y) =

A: Given f(x, y) = x4 + 7xy5

Q: answer the following:

A:

Q: in (m) find the distance traveled. during interval 2 V (t) = + ² + 2 +-15 the given time 0<+≤5 m/s

A: Vt=t2+2t-15 m/s ,0≤t≤5 Graph

Q: (b) (c) -2 (d) 1 f's 0 0 (a) f(x) dx = -2 -1 1 ['re f(x) dx = 2 fro -1 274 -2 f(x) dx = 10 f(x) dx =…

A: As per the guidelines we are supposed to solve only the first 3 subparts. Please repost the other…

Q: : + 8)³ + (x + 8)−¹ for 1 ≤ x ≤ 2. Find the arc length of y = 1/2(x + (Give your answer to three…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate the integral. π [" 10 3x³ cos(x) dx

A: To solve the given problem, we will use following integration formulae ;

Q: Let S be the cylinder x² + y² = 9, with 0 ≤ z ≤ 5. Evaluate the surface integral ff (y + 3) ds. S…

A:

Q: Test the series below for convergence using the Ratio Test. 3n n! The limit of the ratio test…

A:

Q: Let the vector v have an initial point at (-3,0) and a terminal point at (-4, –3). Determine the…

A: The initial point of the vector is x1, y1 = -3, 0 The terminal point of the vector is x2, y2 = -4,-3…

Q: Consider the following integral: fr.e-8 dr. Via method of integration by parts, fill in the blanks…

A:

Q: Derive the series for regs for x > 1. Careful! Remember the restriction on r for geometric series!…

A:

Q: The following table gives values of a continuous function. X ave 20 25 30 f(x) 41 38 29 35 40 45 50…

A: The following table gives values of a continuous function. x 20 25 30 40 45 50 fx 41 38 29 26…

Q: The rate of change of profit for a company is given by p(t) = 327 e thousand dollars per year, t…

A: Given that , pt=327e-0.21t

Q: Find the first five non-zero terms of power series representation centered at x = 0 for the function…

A: The given series is: f(x)=51-x4

Q: 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(t) = 96e, where…

A: NOTE: Refresh your page if you can't see any equations. . the growth rate is given by and the given…

Q: Find the centroid of the region bounded by the graphs of the functions y = 2x² x² +1 Y = The…

A: y=2x2, y=x2+1

Q: 10) Find the equation of the plane containing the points A(-8,5,5). B(1, -6.2), and C(8,-6, 4).

A:

Q: 6. Consider the following graph of the function f(x) = cos(x). Draw on top of the graph to indicate…

A: Here we have given a function: f(x)=cosx. a) The limit that will compute the exact area represented…

Q: Express the vector (5, 1) in terms of the standard unit vectors i and j.

A:

Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 450 - 0.09x², x…

A: For the demand function dx and demand level x, to find  the consumers' surplus. dx=450-0.09x2, x=40…

Q: Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference…

A: The temperature Ft of the body at time t after being introduced into an environment having a…

Q: Find the differential of the function. = x ln(y² + 6) dz= Z = ]dx + ( [ Jdy

A: Given: z=xln(y4+6) We are required to find: The differential of the given function.

Q: (c) Now estimate the area under the graph of f using eight approximating rectangles and taking the…

A:

Q: Use sigma notation to write the sum. 7 3 + 2 11 Σ i = 1 7 3 + 1 + 7 3 + x + 7 3 + 3 * + ... + 7 3 +…

A:

Q: (a) True or False: If f'(x) = g'(x) then f(x) = g(x). (b) True or False: If f'(-1) equals 0 then f…

A:

Q: Solve the trigonometric equation for all values 0 < x≤ 6. 2 sin 2x = √3 ******

A: NOTE: Refresh your page if you can't see any equations. . the given equation is and the given…