A Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x, respectively. What is fxg? D -1 B 0 1 2

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: g(x) = x² - 2x x² - 4x +4 5 x² - 2x - 8 x2 − 5x+6 , x 2

A: g(x)=x2-2xx2-4x+4    , x<25                 ,x=2x2-2x-8x2-5x+6      ,x>2

Q: A B C D E F f(x) X

A: To determine the points at which exactly two of fx, f'x and f''x are zero.

Q: QUESTION 7 Evaluate [x²e² de O e¹(x²-2x+ 2) + C Oe(x²+2x+1)+C Oe(x²-2x+1) +C Oe(x²+2x+2) + C

A: The given integral is: I=∫x2exdx   As we know the common integral. ∫exdx=ex+C   Use the integration…

Q: er linear equation in the form y' + p(z)y = f(z) can be solved by finding an integrating factor μ(z)…

A: we will find the required.

Q: 2. Compute the limits analytically or answer "DNE". State your strategy. cos(3x) cos(2x) cos(5x) a)…

A: See this solution in below.

Q: lim ln x x-0

A: The limit is given by limx→0lnx To evaluate: The value of the limit if it exists.

Q: 4. Find the polar coordinates (r, 0) for the point whose rectangular coordinate repre- sentation is…

A:

Q: find f(-2). x+5 if - 3 ≤ x 4

A:

Q: r(t) = (3tt³, 3t², 3t+t³)

A: On solving this we will get :-

Q: 3. Use algebra to calculate the limits in parts (a) and (b) exactly, giving your answers as exact…

A: Given :(a) limx→4x2+2b limx→-3x2-x-1211x+33(c) limh→0h+16-4hd limx→0+xx

Q: Find the solution of the given DE. 6. y'+²y=-x³y³; y(-1)=2 .

A: y' +2xy=-x9y5

Q: 5c

A:

Q: Explain the meaning of lim f(x) = 10. X-18

A: See this explanations in below of given question.

Q: 3. Consider the function: f(x)=√16- x² + 2 a) Sketch the graph. and Using geometric formulas…

A:

Q: Calculate the following derivative if g(t) = 4t-4. (Use symbolic notation and fractions where…

A: Solution: g(t)=4t-4 This can be written as g(t)=4t4 Now find its derivative g'(t)=-16t5

Q: A particular curve passes through (1, 1) and satisfies the differ- ential equation dx = (1-3y²³) dy.…

A:

Q: Find the most general antiderivative of the function. (Check your answ F(x) = 름 + 2x2 F(x) = 02-1

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that:- Region bounded by y=lnx , y=1, y=2, x=0

Q: culate the cross product assuming that u x v = (6, 7, 0) vx (u + v) = (a, b, c) e symbolic notation…

A: Given query is to find the cross product.

Q: Ders except and -40 Ders except-and- Ders except and -

A:

Q: (a) (a + b) x (a - b) = -2(a × b). a.c b.c

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: QUESTION 3 Evaluate 10 e' dx 4+² In(14 + ²) + C In(14+ ²) + C Sartan 1/²+c +C 2 are tan ₂ +C

A:

Q: Find the domain and range of the relation Provide your answer below: domain: range: {(0, -3), (-7,…

A:

Q: Find the solution of the given DE. 7. +q=4 cos 2r; q(0)=1. dt

A:

Q: Given the function f(x) = 5x - 4, find the inverse function f-¹(x) =

A:

Q: b) For the curve 2² - 4ry² = y³ +9, do the following:

A:

Q: Give a verbal description of the region R and determine whether R is a regular x region, a regular y…

A:

Q: Find the solution of the given DE. dT 8. +0.0697=2.07;7(0) = -30 dt

A: Topic- Differential equation we are given, dTdt+0.069T=2.07 ,T(0)=-30We know that,linear…

Q: plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 35,000…

A:

Q: oblem 8. (a) [e² sin (r) (b) [ (x+3) ln (x) (c) [²* (In (2))² da dx Calculate each of the following…

A:

Q: The graph of a derivative f' is shown to the right. Use the information in the graph to determine…

A: To find the intervals where function is increasing or decreasing.

Q: Calculate the 3 × 3 determinant. (Use symbolic notation and fractions where needed.) -2 6 -5 2 7 2 2…

A:

Q: The sales of a new high-tech item (in thousands) are given by the following function, where t…

A:

Q: Find the area of the shaded region. 249 09 HAH प्द A B 32 3 128 3 64 3 32 6 8 10 y=√√2x y=x-4 X

A:

Q: If f(x) f'(x)= = 3x sin x cos x, find Find f'(5): =

A: 1) f(x)=3 sinx cosx 2) f(x)=8cosx+6tanx.

Q: 5. Consider the polar curves having the equations r = 3 sin 0 and r = 1 + sin 0. a. Sketch the…

A: Given curves are r= 3 sin(theta),r=1+sin(theta)

Q: 31.10(m-5)²-9(m-5) -9

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the Bernoulli differential equation 3(1+x²) y = 2xy (y³ - 1)

A:

Q: 7. Approximate (3.04)3³ using a linear approximation.

A: approximate (3.04)3 using linear approximation

Q: 2. Find the domains of the functions f(x, y) = ln (x² − y) and g(x, y) = 14 y²-x²

A:

Q: estimated

A: Given: P(t) = 13.86t0.535 Where, P(t) = percent of the population t = time in year since 2011

Q: Evaluate the integral and check your answer by differentiating. [ (2 + 2y²) ² dy = = + C

A: ∫(2+2y2)2dy

Q: (3) For the function y = x² + 11x – 12. (a) Find the derivative of this function and use this to…

A: Solution

Q: QUESTION 9 Evaluate x sinx dx O xeosx = sinx +C O-xcosx - sinx +C O xcosx + sinx + C O-xcosx + sinx…

A:

Q: cos² (x) y' = y + tan x

A:

Q: x - 3 im →3 x² – 3x

A: Evaluate the limit of the function x-3x2-3xas x tends to 3 .

Q: Given two vectors ū and v such that the length of u is 3 and the length of v is 5, and the angle…

A: As per your request , (3) Given that , u→=3 , v→=5 , θ=π3 Determine u→×v→2+2u→+v→·u→=?

Q: Find the indefinite integral. (Use C for the constant of integration.) [si sin³ 20 √ cos 20 de [( 3…

A: Let's solve given integration.

Q: 2) Is the discontinuity x = 0 for the function f removeable or non removeable. Fully justify your…

A: We need to explain removable or non removable continuity at x=0.