Evaluate O 3π S sinx dx using the fundamental theorem of calculu 3π sinx dx = 0 3πt A-4 sinx dx = 3πt 2 2 sinx dx = √2

Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. B. e3x-3x² 3…

A: Given differential is of the form M+Ndydx=0

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x −y)dy = 0? None…

A:

Q: 1. Find the limit. lim X-5 lim x-5 2 √x +11 -6 x-5 2 √√x+11 -6 X-5 =

A:

Q: Which of the following equations can be made into a linear differential equation? O A. (x² + xy)dy -…

A:

Q: dy Solve for the value of C in the equation: + ycotx = 5ecosx when y() = 1 dx OA.-5 OB. 5 OC.-4 OD.4…

A: It is a linear differential equation of first order so find first integrating factor

Q: fxe* dx.

A:

Q: 1. Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

A: We need to find partial derivative. NOTE - As per Bartleby guidelines we can solve one question.…

Q: Question 20 Obtain the differential equation whose general solution is y = C₁ + c₂e³x A. B. D. E. y"…

A:

Q: Evaluate the derivative of the following function. 1) 6x H(x)= (5x +

A:

Q: Prove that every Cauchy sequence is bounded. Attach File

A:

Q: In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2     2. ƒ(x) = 1 - 2x3.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 13. Suppose that lim f(x) = 13 and lim g(x) = -7. Find the following limits. X-4 X-4 a. lim…

A:

Q: 4. Find the limit. lim x-0 lim X-0 5+5x+ sin x 6 cos x 5+ 5x + sin x 6 cos x CA. Yes, lim f(x)…

A:

Q: -6 1 1 9 d. f(-4)= = -2 T Consider the graph of y = f(x) above. State the value of each of the…

A:

Q: dy 3y What is the IF for solving the linear equation: x + = dx COSX,x>0

A: The given differential equation, xdydx+3y2=cosx, x>0 We have to find the integrating factor

Q: Find the area between the curves (Hint: Your answer will be in terms of a.) The area is f(x)=x and…

A: area is=a3/6

Q: 2. Find the 2nd derivative of sin (x²-1) y *2cos(x^2-1) 4x^2 tan(x^2-1) 2cos(x^2-1) + 4x^2…

A:

Q: Consider the parallel piped with adjacent edger R² = -2²² + 35²¹ + R²₁ V² = 1² + 3√² + 3K² and W =…

A: We can find area of the face .

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) A. For…

A: Order: The highest order derivative of dependent variable present in the differential equation is…

Q: lim h→0 f(−4+h)-f(−4) h

A:

Q: Evaluate the following integral. 4 ex S- 2x 9- e -dx

A: See this solution in below.

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. O A. y"-3y' = 0 3y" - y'…

A: Topic-differential equations We are given,y=c1+c2e3xWe know thatddxeax=aeax

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. ey O eLny °A O D.Y O…

A: given    y(x+y+1)dx+x(x+3y+2)=0

Q: 7x - 4 3 – – 4x 4x² dx

A:

Q: What is the order of the equation y" y- (y')³=4?

A:

Q: 5 5 3 Suppose ff(x) dx = 25, f f(x) dx = 10, f g(x)dx = 10 and h(x) = = 3 0 0 the following: 0 b.…

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

Q: dy 3y What is the IF for solving the linear equation: x + dx 2 O A. B. D. N/W E. X2 C. 3 3x 2 N/W 2…

A:

Q: Which of the following is a non-homogeneous function? O O tan³y/x | xLnx − xlny x³ - xy + y² (y² +…

A:

Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

A: Given data:- y3+kxy4-2xdx+(3xy2+20x2y3)dy=0

Q: If f(x) = 2x(sin x + cos x), find f'(x) = 2x cos(x) - 2x sin(x) + 2 sin(x) + 2 cos(x) f'(4) = |

A: To find f'(4)

Q: . If (OM-ON) / - - - O A. B. O E. "Q y5 -5 then what is the integrating factor? None of the Choices

A:

Q: Determine the set of points at which the function is continuous. 1 + x² + y² 5 x² - y² F(x, y) = = D…

A:

Q: Homework 3.3 For #1-8, differentiate 1. f(x) = x² cos x

A:

Q: † (OM_ON) - . If = -3, O A. e5 U O E. e-5 y5 y -5 then what is the integrating factor? None of the…

A:

Q: A car sharing service offers a membership plan with a $30 per month fee that includes 10 hours and…

A:

Q: g(x) = 3x + 6 x 10

A: We need to evaluate the limit.

Q: Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

A: We can find the function g(x) from the given composite function in the below steps.

Q: lim x→7 x-7 14 x² - 7²

A: SOLUTION-

Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

A:

Q: Which of the following is TRUE about the differential equation x- dx O A. The equation is…

A: We have to find form of given differential equation.

Q: If f(x) = = f'(x) = 4x² tan x sec x Find f'(5)= " find 4x(x + 2 tan(x sec (x) (x))

A: Topic- Derivative of a function  We are given, f(x)=4x2tan xsec xand f'(x)=4x(x+2tan (x))sec x

Q: If f(x) = f'(x) = = f'(4) = 3 tan x, then -sin(x) - 3 sec²(x) COS X >

A: we need to find out the derivative for the given function

Q: The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the…

A:

Q: Determine the order and degree of the differential equation, 3x dy4 +5x² 3 (d²y) dx² - xy = 0.

A: Determine the Order and Degree of the differential equation.

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? None…

A: Given (y+1)dx+(4x-y)dy=0 Multiply both sides by 1(y+1)dy (y+1)dx(y+1)dy+(4x-y)dy(y+1)dy=0…

Q: Obtain the differential equation whose general solution is y = ₁ + ₂³x A. B. |y" - 3y' = 0 D. E. 3y"…

A: Differentiate both side with respect to x

Q: If F(x) = f(g(x)), where f(-3) = 5, f'(-3) = 2, f'(1) = 3, g(1) = -3, and g'(1) = 5, find F'(1).…

A:

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A:

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. B. ev eLny y O D.y O E.…

A:

Q: 5. Logarithmic Differentiation Method (a) Let y = n. Compute dy by using logarithmic…

A: solutions:-(a) y=xlnxtaken log both sideslny=lnxlnxlny=lnxlnx=lnx2differentiate both sides w.r.t…