State the order of the given ordinary differential equation. (1-x)y" - 9xy' + 6y = cos x 2 Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1. 2(x) day + an-1(x) an-ly + + a₁(x) dx + a(x) = g(x) (6) dx dxn-1 dx linear O nonlinear

Q: Evaluate the integral. "π/4 J.T tan (0) sec²(0) de

A: This question can be solved using integration by substitution.

Q: y" - y = xe*, y(0) = 2, y'(0) = 1

A:

Q: x + 7x5 +15x4 +32 x³ + 23x² + 25x - 3 (x² + x + 2)² (x² +1) ² 2 dx

A: SOLUTION-

Q: 3. Algebraically solve the equation 2(C₂) ==(n+1²3) 5

A: Given 2(C2n)=15P3n+1

Q: ove that the limit as (x,y) →(0,0) of f(x,y)=(x²-y2)/(x²+y²) does not

A: Topic:- calculus

Q: What is a solution of the first order equation Y (K+1) = Y(K) +5 ? Ans: y(K) = 20+5k

A:

Q: 1. Determine the area of the region bounded by y = 2x² + 10 and y = 4x + 16.

A:

Q: Given r(t)= , find the tangential and normal components of acceleration, for t>0.

A:

Q: 4. fx(1-x) dx

A: Given ∫x(1-x)9dx

Q: Find the volume of the A =î - 13ĵ+ 4k, B = 3î + 2ĵ-7k and C = î - 2ĵ + 2k. parallelepiped whose…

A:

Q: What is the formula for the nth term of the sequence 5, 8, 11, 14, ...?

A: The given sequence 5, 8, 11, 14,........

Q: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C

A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0

Q: Q5/ Solve the gamma function 2-3x² dx 360 A) 2√n 1 77 B) 2√3 In 2

A:

Q: For a given triangle, side y is measured as 10 cm, the horizontal side x as 20 cm and the included…

A: Concept: Estimating error using differentials: ∂A=∂A∂a∂a+∂A∂b∂b+∂A∂θ∂θ Here A is the area of the…

Q: 1. 3r, If R is the region in the first quadrant bounded by z-axis, 3r + y = 6 and Y evaluate J[34 3y…

A: Given: I=∫∫R3ydA And The region bounded by the curves is; 3x+y=6, y=3x and x-axis y=0.   As we know…

Q: Given r(t)= , find the curvature. T

A:

Q: Given that f(x) = x³h(x) h(1)=2 h'(-1)=5 Calculate f'(-1).

A:

Q: Explain the meaning of each of the following. (a) lim f(x) = ∞ X-8 The values of f(x) can be made…

A: a) here, f(x) tends to infinity as x approaches -8 . So, correct option is d.

Q: B C a A b Note: Triangle may not be drawn to scale. Suppose c = 11 and A = 55 degrees.

A:

Q: The value of (-1+√3 i)^(1/3) is О 2 exp((2TU/7)^i ) 2 exp((2/3)^i) 2 exp((2T/9)^i) 2 exp((2T/5)^i)…

A: We need to choose correct option. As per Bartleby's guidelines we can solve only one question from…

Q: Name: OPEN ENDED QUESTIONS: Prove each Identity: 15 A. Seco Sine Tane + Cote Sin²0 15 B. Csc²0…

A: A detailed solution is given below.

Q: (i) y2x4 JS(x+y²x² + y)dxdy y=x=0

A:

Q: -Σ=o(x + 2;)2

A:

Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A:

Q: (b) Find the general solution of: = yx² - xy ax Given z = y when x=1, determine the particular…

A:

Q: 3. A right circular cone has the following dimensions: Radius: R Height: H Then its volume is R²H.…

A:

Q: Find the volume of the solid generated if the area bounded by y = x² and y = x5 is rotated by the…

A:

Q: hand written pl Let A(0,-2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA) 2. m(PB)…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Let's solve given diffrential equation.

Q: (b) Find the general solution of: əz = yx² - xy Əx Given z = y when x = 1, determine the particular…

A:

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

A:

Q: Evaluate sin (3x) dax

A:

Q: 6. The rational function f(x) = + k is transformed to g(x) = -5f(x+3)-1. Which row in the table x-2…

A: We have to find the solutions

Q: 3. Find the volume of a solid G bounded above by surface z = 10², bounded below by the plane z = 1…

A:

Q: Find the value of c for which the area enclosed by the curves y = c - x² and y = x² − c is equal to…

A:

Q: Given: y² = 2x - 2 bounded by y = x-5. The points of intersection of these two curves are {A}…

A: y2=2x-2 bounded by y=x-5

Q: J 6x x +3 dx

A:

Q: What is the distance of the rider from the vertical line after 16 seconds?

A: We have to find the distance of the rider.

Q: 11. Find the value of m, such that D1, D2, D3 meet each other at one point. D1: x - y = 1 D2: 2x + y…

A:

Q: 5 sin coso do 2 Sin ² + 3 sin 0 -4

A:

Q: What is the volume of revolution from x=0 to x = // when the function f(x) = 2x² 2 is resolved…

A:

Q: Solve the system (2+i) z1+iz2 = 1-i 12321-322 = -1-7i

A: Given: Now,            2+iz1+iz2=1-ii23z1-3z2=-1-7iSubstitute…

Q: (c) f cos³ 4tdt

A:

Q: 6. Determine the relative extrema and the intervals on which f is increasing/decreasing. Show your…

A: Let's solve.

Q: Use the graph of g to find the value of each expression. (If an answer does not exist, enter DNE.) y…

A: Given, Graph of g(x)

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a.…

A: We want to find domain and limit.

Q: Q2: Locate the singularities of the following functions and determine their type. el 2) 2) exp (z…

A:

Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all solutions 0 ≤ x < 2π X = Give your answers as a list…

A:

Q: ****** For Q.11 and Q.12, i), then Q11) The radius of convergence is a) R - 1 Q.12) The interval of…

A: We need to find radius and interval of convergence.

Q: question

A: We have to choose the correct option from the given options according to the given information