Lesson: LINEAR DIFFERENTIAL EQUATIONS Instruction: Find the general (or particular) solution of the given differential equations and give the largest interval over which the general solution is defined. Problem: cos? x sin x dy + (y cos x – 1)dx = 0 -

Q: Ex 3: Use the chain rule to express in terms of x and y dx c) y = ( and x =-1 att 2

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Q: Suppose R is the region bounded above  by the graph of f(x)=8x−x^2 and below by the graph of g(x)=x ...

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Q: Construct tangent segments drawn from an external point to a circle are congruent. Given: Tangents a...

A: Given problem:- Construct tangent segments drawn from an external point to a circle are congruent.  ...

Q: tan-0) = T then tan 0 is equal to O 2 O 4 3 O 1 4

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Q: 12. What is the graph of the absolute value equation |x| ≤ 2?

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Q: Which of these statements is/are TRUE? 1. If sec A is undefined, then cos A = 0. II. If tan B = cot ...

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Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: Find the alue of C that satisfied the theorem for the function fCx) = 3+ Jc on the %3D in terval (4....

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Q: Let 0 be an angle in standard position. If P(-1, 2) is a point on the terminal side of 0, what is th...

A: Topic:- trigonometry ratios

Q: d 4z3+7z+8, 2. dz 3. dx (x)(3x² – 9)

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Q: Write down your complete solutions. Enclose all final answers in a rectangle. 1. Obtain the Derivati...

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Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values....

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Q: If it diverges, enter DNE.

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Q: Given the function f(x)=−2x^2 1) Find the difference quotient f(x+h)−f(x)/h 2) Find f'(x) by deter...

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Q: A cylindrical gasoline tank with radius 4 feet and length 25 feet is buried on its side underneath a...

A: Volume of a cylinder is given by V = πr2h, where V is the Volume of cylinder , r is the radius of cy...

Q: 10. If y zx[sin{inx)- cos(Inx)y find dy/dx. A. sin(inx) B. cos(Inx) C. -sin(inx) D. -cos(Inx) 11. If...

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Q: Let Q (p) : %3D p+1 (a) Calculate the derivative Q' (p) (b) Calculate the quotient Q (p + 4) – Q (p)...

A: Using derivative formula.

Q: 3x?-13х+14 dx 36х2-72х

A: Topic:- integration 

Q: Solve for the constants of the integration and the general form of the equation.  Find f(x) if f′′′...

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Q: a set of n values x1, x2.. X n has (3 standard deviation 6, the standard deviation :of n values x1 +...

A: This question is related to statistics.

Q: Find the Differential Equation of (sin2x-2ycosx)dx=2dy

A: First we compare given differential equation with dy/dx+Py=Q and find integration factor using einte...

Q: A spring has a rest length of 13 inches and the spring constant is K = 1.5. spring Haw much work is ...

A: Given query is to find the workdone to stretch the spring form 17 inch to 21 inch.

Q: Evaluate 1 V4- 2 dx O a. sec () + C O b. tan (:) + C O c. sin () +C O d. cos 1 () + C

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices: (±...

A: We will find the equation of the hyperbola when vertices and asymptotes are given.Below find the det...

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: The demand function p = D(.) = -0.3x + 33 and the total cost function C6) = 1.277 + 9.2x + 65 for a ...

A: We need to find all x where production is profitable.

Q: Find a set B that is well-defined such that 10 ɛ B and 5 ɛ B. B = {x|x ɛl and x < 11}, I the set of ...

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Q: how do you prove: 1. (-1)*(-1)=1 2. 1 is a positive number. Please answer both subparts if you un...

A: To prove: 1. (-1)*(-1)=1 2. 1 is a positive number.

Q: Consider the following system of linear equations: X1 - 4x2 + 4x3 = -1 2x1 - 6x2 + 2x3 = 8 %3D -6x1 ...

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Q: 6. Statement 1: The number of students who are present in Filemon T. Lizan SHS for the first day of ...

A: discreate variable means countable variable and continuous veriable means uncountable variables. 

Q: (D² + 3D + 2)y = 12x²

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Q: x24x+13

A: We will find the integration of the given function.

Q: For mumbers 9- 10. Consider the probability distribution of the number of mangoes given below. R PIR...

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Q: 4. Consider the function g(x) = I +3 a) Find the derivative of g using differentiation rules. b) Ver...

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Q: Find the area enclosed by the x-axis and the curve y= 9 – x². (A) 36 square units B 18 square units ...

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Q: Evaluate e dV where E is enclosed by the paraboloid z = 4 + x² + y², the %3D cylinder x? + y² = 3, a...

A: We need to evaluate integral.

Q: Differentiate the function. z = A + Bcos y

A: We know that d/dx(xn)=nxn-1 d/dx(cosx)=-sin(X)

Q: y = x? + C,x + C2e¬*

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Q: A function F is an antiderivative of the function f if F'(x) = %3D for all x in the domain of f.

A: We have to solve given Questions.

Q: Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by th...

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Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: a) The Mean Value Theorem for differentiation states that if f(x) is continuous on a closed interval...

A: Given that the Mean Value Theorem for differentiation states that if f(x) is continuous on a closed ...

Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the domain and the range of the function f.

A: Topic = Functions   Domain x∈-∞,-1∪-1,∞RAnge fx ∈-∞,-1∪-1,∞

Q: The following shaded region is to be rotated about the line æ = 1 to generate a solie y = g(x) y = f...

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Q: Which Riemann sum represents the illustration shown? AY 4 3.

A: The given figure is:

Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

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Q: Identify the level curve of the graph of the function 14x + 14y - 10 14x? + 14y? - f(x,y) = correspo...

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Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: Evaluate (sin t + 1)-1 dt A) sin t - sec t + C B tant + sec t +C (©) tant - csc t + C D tan t - sect...

A: Topic:- integration

Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³ ...

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