Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) f(x) x+6 √x

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

A:

Q: Evaluate the limits given the following information: lim f(x) = 6 lim g(x) = -9 24-6 x--6 a) lim x 6…

A:

Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the fun f(x) =…

A:

Q: Solve the differential equation dy dx x²(y²+3) + y (x³+1) = 0.

A:

Q: 3 2. f(t) = (2t-1)-²; ƒ(1), ƒ(5), ƒ(13)

A: Given function is f(t)=(2t-1)-32 We need to find its value at, f(1), f(5), f(13)

Q: QY == Given f(x) = (hog|(x), and f(1) = 2/'`(1) 9 (²) = g(1) f = - Find (gof) (1) in simplest form :

A: Given- Given fx = h∘gx, and f1 = 2f'1 = g1 = -g'1 To find- Find g∘f'1 in simplest form.

Q: Determine the values of k such that the function below has an inverse function. (Select all that…

A:

Q: Evaluate the following Limits: 3√√x6+8 4x²+√3x4+1 1. lim x-00 2. lim X48 3. lim X-4 1 1 1+ 2x…

A: note : as per our company guidelines, only one question can be solved. kindly post other question as…

Q: 4. Given f(x) = x² +3 and g(x) = -3x + 11, find the following a. f(g(3))

A: Concept: Composition of function: A function is composed when two functions, f and g, are used to…

Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

A:

Q: Use the spreadsheet to answer the following questions. 83 1 2 Put m Hein 5 x fx 57 C GP Answer: B 47…

A: Here, not that 82 value is at the intersection of the B column row 2.

Q: Change the following integral to polar coordinates and evaluate: 4-x² [2² 0 x² + y² dy dx Sketo

A: To convert Cartesian coordinates into polar coordinates we use the following transformation, x=rcosθ…

Q: What is the summation form of the Maclaurin series for 1/(sqrt(1-x2))? Hint: Find the first few…

A: Solution:

Q: Q8) (E.G.) Let ABCD be a cyclic quadrilateral and let O be the intersection of the rays AB and DC.…

A: Solution

Q: f In dx

A:

Q: Which statements are true about matrix A if a ‡ 0 and a² #b²? b b a A = a [8 There is a unique…

A: Please see the below picture for detailed solution.

Q: Question The base formed by slicing through the center of a solid S is the ellipse+ = 1. The cross…

A:

Q: 46. lim h→0 (x + h)³ - x³ h bluow

A:

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: I have stated the used method in the brackets

Q: 4. f(x,y) = x² + 3xy x-24

A: We know that degree of each terms are equal then given function is called homogeneous function.…

Q: 7. For the limit lim (x³ - 3x + 4) = 6 illustrate Definition 2 by finding values of 8 that…

A:

Q: Use the Intermediate Value Theorem to show that the following equation has at least one nonzero…

A: Given That,  Sec(2x)= 3^x

Q: A differential equation is an equation A that contains a derivative like y'(x) as well as the…

A:

Q: xdx e-x + (Y+) dy уз = 0

A:

Q: Solve for Inverse Laplace

A: Given,           Fs=2s+1s2+4s+2To find : Solve for inverse laplace.

Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

A:

Q: 29. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the √t…

A:

Q: By using the iterative formula Xn+1 and xo = O O 0.3652 O 1.3652 O2.6352 = 1.5, then the value of x5…

A: Find the value

Q: (2cot 2x² - 2e²) dx A. 1/cot 2x³ + 2e²+ C 2

A: To find out the integration of the given function.

Q: 1 3. f(t)=√3-2t; f(1), f(−3), ƒ(0)

A:

Q: 1. h(x) = √4x²

A: Given function h(x)=4-x2

Q: Solve the following integrals:- (2) S dx (1) Sx3-2x² dx x²√√9-x²

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: b. Z Z-3

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 5 4 3 x→2 12 A -1 -2 -3 -4 -5+ Select all…

A:

Q: Show that (u - v) × (u + v) = 2(u × v)

A:

Q: √ ¹ (1+√x)3 √x - dx

A:

Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

A:

Q: If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height…

A:

Q: 1. Determine the order of each of the following differential equations, and state whether it is…

A:

Q: 20. f(x) = sin a for a < 0 cos x for 0≤x≤ ³T tanx for 37 < x < 2π for 27 < x < 5 cot a Let f be the…

A: A piecewise continuous function is continuous on a given interval in its domain if the function…

Q: fcos (x) sin(x) dx

A: We need to find out the integration of the given integrand.

Q: 2. y' ysecx

A:

Q: 3. The dot product of two orthogonal vectors is: A.undefined. B. Zero, C. Infinity.

A:

Q: A graphing calculator is recommended! If a ball is thrown into the air with an initial velocity of…

A:

Q: (28) filx)=2x-1|-2

A:

Q: Estimate the slope of the tangent line to f(x) = x³ at x=2 by finding the slope of the secant line…

A:

Q: Relative change is the ratio of the amount of change to the original amount. In this case, this…

A: To find out the relative change in the average household income from 2008 to 2018.

Q: feature

A: Please refer to the image below

Q: Simplify the expression by first getting common denominator, then pulling out any common factors in…

A: