Find the exact length of the curve. y² = 16(x + 1)³, 0≤x≤ 3, y>0

Q: dP Which among the choices is the same as the differential equation = P(C₁ - C₂P)? dt A. OB. dP dt…

A:

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB. cot2x OC.Lnsin2x OD. CsC2x OE.…

A:

Q: 1 If (-x) = -5 ON) - M O O A. e5 B. ن D. E. y5 y -5 then what is the integrating factor? None of the…

A: Given: ∂M∂y-∂N∂x1M=-5y To find: Integrating factor.

Q: Perform the indicated matrix operation, if possible. - 2x+2y -5x + y - 10x + 8y 4x-3y 4x-7y 2x 3y-3x…

A:

Q: The degree of homogeneity of the function ƒ(x, y) = (x² − 4y²)−1/² O A. 1 OB. -1 O C. -1/2 O D. None…

A:

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 O A 4 OB.…

A:

Q: lim 0-0 cos 0 - 1 20²

A: SOLUTION-

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

A:

Q: Which of the following is a non-homogeneous function? tan³y/x OxLnx-xLny O x³ − xy + y² (y² + v²)³/2…

A: homogenous function is f( tx,ty ) = t^n f(x,y) option a) f(x,y) = tan (3y/x) now,…

Q: Evaluate 5 [C%² 0 5y 2e² dx dy

A:

Q: Use the inequality from the previous question to fill in the blanks below. As stated above, to…

A:

Q: present

A:

Q: What is a suitable integrating factor that can be used to solve the equation dy cos(2x) = 0 O A. OB.…

A: To determine the suitable integrating factor that can be used to solve the equation.xdydx+2y-4xy-e-x…

Q: This problem tests calculating new functions from old ones: From the table below calculate the…

A:

Q: 15. Find the limit. lim X48 lim X-8 sin 15x 19x sin 15x 19x =

A: See this solution in below.

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: Evaluate the following integral. π/4 S 0 cos x)² dx secx+cOS X)

A: Explanation of the answer is as follows

Q: Let f(x)=−3e^x+2+e^4 f′(0)=

A: SOLUTION-

Q: If f(x) f'(x)= -3x sin²(x) + 3x cos² (x) + 3 cos(x) sin(x) = 3x sin x cos x, find Find f'(4) =

A:

Q: (6) ft sin 2t dt.

A: We need to find out the integration.

Q: Solve for the value of C in the equation: dy - (y + xy5) dx = 0 when y(0) = 1 O A. 1/4 O B. 1/2 O C.…

A: First we will integrate the given differential equation and then find the value of C at given…

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: Given query is to apply sine law and complete the triangle.

Q: Which of the function is not an exact equation of the first order?

A:

Q: N 10 9 8 7 6 5 3 2 1 2 Based on the graph above, estimate to one decimal place the average rate of…

A:

Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Given: To find: limx→2- fx , limx→2+ fx, limx→2 fx

Q: Find the exact length of the curve. x = 5 + 12t², y = 6 + 8t³, 0≤ t ≤ 3 12117-1)

A:

Q: Use the Gauss-Jordan method to solve each system of equations. 4x + 4y-4z= 36 2xy + z = -3 x - 4y +…

A:

Q: Evaluate

A:

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

A: To check: Which of the given differential equations is linear?

Q: Eliminate the arbitrary constants of y=c₁e*+cx*— sin3x

A: We use differentiation to Eliminate the arbitrary constant, we differentiate the given equation as…

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: 1) Determine whether or not the following equations are exact

A:

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

A: Topic- differential equations we are given, xdydx+3y2=cos x,x>0wew know thaty'+Py=Q is a form of…

Q: indi the derivative  y=arctan² (x³)

A: Given,   y=arctan² (x³)    Find derivative of y

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 h→0 f(−4+h)-f(−4) h

A:

Q: 2. Use the graph below to determine whether the statements about the function y = f(x) are true or…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: The degree of homogeneity of the function f(x, y) = (x² - 4y²)-¹/² O A. 1 B.-1 O C. -1/2 D. None of…

A:

Q: Sketch the region bounded by the curve x 2 = y and the line x = volume of the solid generated by…

A: solution:-the region bounded by y=x2-2 & x=y+2revolving around y=1

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

A: Option D

Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 10t2 + 32t − 230…

A:

Q: 3. Find each of the following limits algebraically (without generating a table of values, graphing…

A:

Q: 1. Given that lim f(x) = -1 and lim g(x) = 8, find the following limits. H-3 →3 f(x)5 +3 (b) lim -3…

A:

Q: parts remaining Evaluate using integration by parts or substitution. Check by differentiating. (3x²…

A:

Q: Which of the following equations can be made into a linear differential equation?

A:

Q: The degree of homogeneity of the function f(x, y) = (x² - 4y²)-1/2

A:

Q: aluate the integral. [29 tan 29 tan 5x sec 4x dx

A: The given integral is  ∫29tan5xsec4xdx

Q: 30. If f(t) = sec t, find f"(π/4)

A: Topic- Double derivative of a function. we are given f(t)=sec t and we know that ddtsec t=sec(t)…

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: Which of the following equations is NOT a variable separable differential equation? O A. 2xydx + (x²…

A: Option D is not a variable  separable  differential  equation .