1. y' + ytanx = COSX; y(x) = (x + c)cosx; y(π) = 0

Q: SIT lim t-0 CATA 3+t-√3-t t anot

A: To find the limit.

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: Question 27 The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy² + 2y)dx + (2y³ +…

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Q: Find y'(x). y'(x) = y = √-1 + 2x At what point on the given curve is the tangent line perpendicular…

A: Given query is to find the derivative and the point where slope of tangent is perpendicular to the…

Q: 3 x dx + 5x² (4²5) ³ - dy4 Determine the order and degree of the differential equation, 3x - xy = 0.

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

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

A: given    y(x+y+1)dx+x(x+3y+2)dy=0   it is of the form Mdx+Ndy=0   where M=y(x+y+1),    and…

Q: Evaluate

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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: Obtain the differential equation whose general solution is y = C₁ + c₂e³x.

A: Obtain the differential equation whose general solution is y= C1 + C2 e^3x

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

A: Condition for existence of limit at x=a⇒limx→a-fx=⇒limx→a+fx=⇒limx→afx

Q: The integrating factor (IF) of the equation y' - 2ycot2x O A. sin2x O B. cot2x O C. Lnsin2x O D. E.…

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

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Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

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Q: Find the equation of the plane through P(2,-1,1) that is parallel to II: 2x + 3y +z - 12 = 0.

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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…

A: Find integration factor first as it is linear differential equation

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

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Q: (6) ft sin 2t dt.

A: We need to find out the integration.

Q: 11. Define what it means to say that lim g(x) = k. the motion y X-0 Choose the true statement below.…

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Q: Suppose that f(5) = 1, f'(5) = 7, g(5) = -8, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

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Q: The linear trend forecasting equation for an annual time series containing 45 values (from 1963 to…

A: Given     Yi^ = 4.8 + 1.3Xi As per the student's request, I am providing the solution to the (c)…

Q: Evaluate the sum 50 Σ(2 · k + 5) = k=1 50 Σ5₁(2. k+5). k=1

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Q: Find the exact length of the curve. y=ex, 0≤x≤ 3

A: Length of curve =∫ab1+dydx2dx

Q: a -- In words, describe the curve F(t) = (2 sint,e',2 cost) for 0<= t <=6 . Be sure to give enough…

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Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y = 1. The cross-sections…

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Q: lim 1 - cos(sin(³-1)) 73 - 1

A: As per the instruction, we will be answering the first question. The graph of y=1-cossinx3-1x3-1.

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy…

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

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Q: Two ships leave the same port at noon (12PM). Ship A sails north at 15 mph, and Ship B sails east at…

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Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

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Q: How many fraction terms are there in the partial fraction decomposition of x³ + x² + 12 ? x(2x −…

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Q: dy What is the IF for solving the linear equation: x + = C0SX,x >0 dx 2 O O O O A. B. D. E. MIN 3x 2…

A: To find IF

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

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1,…

A: First of all find side length using cosine formula and distance formula

Q: (a) lim 2 – 52+6 H-2 4-x² pts

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

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

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

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Q: Suppose f (x, y, z)= + P = (2, 4, 3). A. Find the gradient of f.

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Q: y = = 015 4. -2 13/ X

A: Given y=6x4,y=-2x3 The objective is to find the derivative of given functions.

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: the difference quotient for the given function. Simplify your answer. Rx)=x²³, f(a+h)-f(a) function…

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Q: At t = 0, a train approaching a station begins decelerating from a speed of 104 mi/hr according to…

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

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

A: NOTE: Refresh your page if you can't see any equations. . check the first DE now all x variables…

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

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Q: Determine the degree, order, and whether it is linear or non-linear 3 (y") ³-4y²= 10e 5x First Order…

A: Topic- Differential equations We are given an equation, (y'')3-4y2=10e5xOrder=Order of the…

Q: Rewrite the following expression in terms of exponentials and simplify the result. (cosh 3x - sinh…

A: We need to rewrite the given expression in terms of exponentials.

Q: Se-¹x² dx. е

A: Given query is to find the integral.

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

A: See this solution in below.

Q: fxe* dx.

A: