If sin(0) = 3 - and is in quadrant II, then find the EXACT value of sec(0). "

Q: Which of the equations below is a second order nonlinear differe O A. 2 dy |x²y- (1 - dx)² = e ²x O…

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

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

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Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 A. 1/4 B. 1/2 C. 3/4 D.…

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Q: Which of the following statement is TRUE? 8:01 AM A. An ordinary differential equation (ODE)…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 5 (lx-21-4) dx

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Q: 17. Find the limit. x+5 lim 2 X-5x + 6x + 5 x+5 lim 2 x-5x + 6x +5 (Type an integer or a simplified…

A: Factorise the denominator x2+6x+5 and cancell the common factor of numerator and denominator.

Q: Question 1. Find the solution of the following differential equations (i) cos²x sin x + (cos³x)y = 1

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Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 | when x = -1 and y…

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Q: What is the integrating factor of (1+x)y +2y= 21ax sin.x 1+x

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

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Q: the following function. y = x³ + 3x² - 9x + 3 ~'(x)..

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Q: lim h→0 f(−4+h)-f(−4) h

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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Q: Which of the following is NOT true about the linearity of differential equations? O A. Which of the…

A: Given query is to find the incorrect statment for liner differential equations.

Q: A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the…

A: Given :- dNdt=-0.069N

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…

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Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D.4 O E. None of the Choices alt + dx…

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

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Q: sinx What is the integrating factor of (1+x) y + 2y = - 1+x

A: We have to find integrating factor for given differential equation.

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

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Q: Evaluate 5 [C%² 0 5y 2e² dx dy

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Q: Use the Binomial Theorem to expand the expression (x3 + x-2)4 and write the result in simplified…

A: Given data:- The given expression is, x3+x-24

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: Find the middle term in the expansion of:

A: Gievn expression:- 3x+x310

Q: Consider the ellipsoid x² + y² + 4z² = 41. Find the acute angle that the tangent plane at the point…

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Q: COTE - L J

A: Given query is to find indicated derivative.

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

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

A: Given a  equation of general solution of a differential equation. By terminating arbitrary constant…

Q: Complete the tables, and graph the corresponding ordered pairs. Draw the line defined by the points…

A: Given :- Y = 3x/5 -1 Now drawing the graph of the equation i.e.,

Q: what is cubic functions ?

A: Function:- A relation between a set of inputs and outputs is known as a function. To put it simply,…

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

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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 following matrix product, if it exists. -5 - 5 135 O A. -5 Select the correct choice below…

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Q: Let f(x)=−3e^x+2+e^4 f′(0)=

A: SOLUTION-

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

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Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4e¥ − x²y² – 3x)dy = 0 when…

A: The given equation is; (2xy4ey+2xy3+y)dx +( x2y4ey - x2y2-3x)dy=0 y(1)=1.

Q: In Exercises , say whether the function is even, odd, or neither.Give reasons for your answer.59.…

A: Given: 59. sin 2x        60. sin x2 61. cos 3x          62. 1 + cos x Formula Used: If f(-x) = f(x),…

Q: Which of the following is a non-homogeneous function?

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Q: Which of the following equations OA. (2x sin y + y)dx + (x² cos y + x)dy = 0 OB. 1 dx-dy-0 y O E.…

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Q: SIT lim t-0 CATA 3+t-√3-t t anot

A: To find the limit.

Q: 1. Given the vectors a³ = (2, −1, 3), b` = PQ` where P(1, 1, 1) and Q(5, 1, −1) and c³ = i̇ + j³ +…

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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.…

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

A: See this solution in below.

Q: Which of the equations below is a second order nonlinear differential equation? A. "x²y-(1-2)² = ²x…

A: (A) Here by the square of the term (1-dy/dx)² we get the term (dy/dx)² which makes this differential…

Q: Consider the nonlinear equation  e^x + sin x = 4.  (a) Apply two steps of the Secant Method (by…

A: Note: As per the honor code, the question with one only method can be solved. Please post the…

Q: 111 Solve for the actual solution of y''' = 2x + 1 when y(2) = 1, y'(2) = − 4, y''(2) = 7 X 12 6 X 4…

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Q: Let f(x, y, z) = xy² + z and x = s²t³, y = st, and z = = $³4³. (a) Calculate the primary derivatives…

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Q: Where Given the vectors 2 = ( 2,-1, 3), B = PQ P (1, 1, 1) and Q (5,1, -1) and C = T J + 3R . • Find…

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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 .