Find the x-values (if any) at which is not continuous. If there are any discontinuities, determine whether they are removable. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) removable discontinuities nonremovable discontinuities x = x 0 0 x

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

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

Q: Evaluate the following definite integral. 6 Ste¹(-i-j+k)dt 0 Select the correct choice below and…

A:

Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

A:

Q: Question = 2 and v(y) Define as the region bounded by the functions u(y) around the y-axis, what is…

A: We need to find volume.

Q: 9. (a) Use a graph to find a number 8 such that 1 In(x - 1) (b) What limit does part (a) suggest is…

A: We need to use the graphing utility to find the value of 'δ', to satisfy the following condition,…

Q: Find the constant a such that the function is continuous on the entire real line. 9x², ax - 3, a = x…

A:

Q: 4. f(u) = 3u² +2u-6, g(x) = x + 2 5. f(u)=u², g(x)=x²-₁ Find the indicated composite function 6. f(x…

A:

Q: 1. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

A:

Q: 3.44 3. Test for homogeneity f (x, y) tanx-sec²x - cosy

A: Question : Test for the homogeneity f(x, y) = tanx - sec²x - cosy

Q: properties

A: Please refer to the image below

Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

A: This question can be solved using the concept of functions and its domain.

Q: y(4)-8y" + 16y=0

A: To solve the differential equation

Q: The average monthly sales volume (in thousands of dollars) for a firm depends on the number of hours…

A:

Q: A There is no correct answer from among the given choices. differential equation by separation of…

A:

Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: Verify if the indicated equation is an explicit or implicit solution of the given DE. y = ln…

A:

Q: [-1 -1 Using Doolittles method for the following matrix A = 0 L-2 -2 L - matrix and U - matrix. 2 11…

A:

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

A:

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

A:

Q: Find the following limit Select the correct answer below: 8 88 0 -1 lim x18 -3x3 + 7x² - 6x + 4 -3x²…

A:

Q: 4. Find f '(0.5) for f(x) = [Arc tan(t)dt - Arc ta O 0.8 0.131 O 0.120 O 0.464

A: The function fx is given by fx = ∫0xArctantdt To evaluate: The value of f'0.5

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

A:

Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (1) 2 = sin(13). CIEN : (x, sin(…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

A:

Q: Use Horner's method to evaluate P(x)= x - 4x²-3x+5 at po = -2. b) Use Newton's method to find p₁.

A:

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

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

Q: 3. Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) = 2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the solution to the given Differential Equation y dx + (2x-y) dy = 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: fe* cos (2x) dx A. B. C. D. 2e* sin(x) + 2e* cos(x) + C 2 2 ex sin(x) ex cos(x) 2 2 2 ex sin(2x) ex…

A:

Q: Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: √ ¹ (1+√x)3 √x - dx

A:

Q: Let f(x) = = Jmx - - 6 X x² + 10x - 2 if x < - 4 if x ≥ 4 If f(x) is a function which is continuous…

A: Find the value of m

Q: 3.Find the differential equations for each familyof curves under the following conditions:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

A:

Q: 26. The graph of y = f '(x) is shown below. List the intervals where the graph of f is concave up. O…

A:

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: if f(x) = x + 5* . find the derivative of this function f'(x) A. f'(x) = 5* In 5 B. f'(x) = -1 + 5*…

A:

Q: (y²_xy) dx + x² dy =O

A:

Q: if f(x) = %79.1 x²√In x² x -. find the derivative of this function f'(x) A. f'(x) = - 1 3:16 1-In x²…

A: The given function is; f(x)=x2 sqrt(ln x2)/x.

Q: A. by extracting square roots. 1. x² = 169 2. 9b2 = 25 3. (3y 1)2 = 0 - 4. (x - 2)2 = 16 5.…

A: Let's solve.

Q: 2. What is the average rate of change from x = 4 to 9 of f(x) = 200e-03x

A: We need to find average rate of change.

Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

Q: 30. dy dt t y-12y y(0) = 4

A:

Q: Find the differential equations for each family of curves under the following conditions: c)…

A:

Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

A:

Q: x→a f(x) lim f(x) = x→a+ Olim f(x) = -8 implies that lim f(x) = - 8. x→a x→a+ lim f(x) = Ha Olim…

A: we will do as per the question.

Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A:

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

A: The given vectors A=3i+j+4k, B=2i-3j-k we have to find the vector normal to A and in plane of A and…