The range of F in F(x) = 2 sin x; - < x< 2 T is: %3D -2SF(x)SO F(x)S2 ) -2SF(x)S2 O O

Q: d²y Solve: dx2 dy + 42+ 4y = 4x²e¬2x, cos 2x %3D dx

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Q: (ve"cosy - 3)dx +N(x, y)dy = 0

A: Differential equation of form M(x,y)dx+N(x,y)dy=0 is said to be exact when it satisfies the conditio...

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: evaluate the indefinite integral / dx. Av7² – 4 xª/x² -

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Q: yesin 3y* dy dy 5. csc 6y

A: The question is a little incorrect. I have modified the question a bit: the denominator should be: c...

Q: 3. ydx – 2xdy = y°cosydy when y(1) = 0 %3D

A: Given          ydx-2xdy=y3 cos y dy        ydx-2xdy-y3cosydy=0 i.e.,  ydx-2x+y3cosydy=0      M=y,   ...

Q: Question 10 What are the coordinates of the endpoints of the focal width of the parabola (x + 6)² = ...

A: Topic = Coordinates geometry Correct option = C

Q: x^2y=4+Cy Eliminate Arbitrary Constant

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Q: Choose the correct graph of y = cos x, < x<: 2 1 27 -3. 3.7 -1 -2

A: y=cosx,π2&lt;x&lt;3π2

Q: R m 1 Uo 1 2Tr dr TR²

A: Follow the procedure given below and use simple integration principle.

Q: Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time consum...

A: Hey, since there are multiple subparts posted, we will answer the first subpart as in b it asks to r...

Q: Find the Domain of y=J Tx-31 (x¢4/

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Q: Given a function f (x) whose graph is shown below. 3 |h -3 2 -11 2 3 -2- -3 Determine lim f (x). x-1...

A: A graph of fx is given as shown below: We have to determine limx→1-fx

Q: Setup the integral that will give the area of the surface generated by revolving the curve g(y) = 2/...

A: Given curve g(y)=24-yWe need to calculate the area of the surface generated by the curve g(y) over t...

Q: y'dx-(xy + y* kty = 0 1. Let the substitution v=2; y= vx; dy = vdx+ xdv

A:

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = 3...

A: suppose c(t) is the cost in thousands ot dollars ,ot producing t tons of white paperIf            C'...

Q: 3(w-5) 2(w-2) 20. w+1 21. Solve for r: D=rt 22. Solve for W: P=2L+2W

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Q: 2. (бху? — хе"у + 2у)dy %3D у(еУ — 2у?)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is of the differ...

Q: 04 +C 3lne d0 = 2e (A) True B False 2.

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Q: 1 (i) lim 3n2 – 4000 のlim(- 2n2 +10000 X00

A: Topic:- calculus

Q: 1. If f, g, and h are odd, integrable functions, and a is a real number then a | (1)i+ g(t)j+h(t)E) ...

A: "Since you have asked multiple question, we will solve the first question for you.If you want any sp...

Q: Evaluate in terms of gamma function: e- ydy

A:

Q: (e) limVx ) lim -+(-1)") X-00 n→0 n n²-12345 x2 +9 (g) lim n +1 (h) lim x∞x3 +1

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if , 2. The function f(x, y)...

A: Topic:- calculus

Q: 2.b) Eliminate the Arbitrary Constants in the equation: * x²y = 4 + Cy x?y = 4 + y' x?y" = -4y O b. ...

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Q: cotxdx + ysin?xdy = 0 %3D

A: Using variable separable method.

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: Given:     f(x) = 4√x    Interval: [ 0 , 16 ] 

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had decrease...

A:

Q: 4.a) Is the equation Exact? * (y2 – 2xy + 6x)dx + (-x² + 2xy – 2)dy = 0 O Yes, the equation is exact...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Solve the following Linear Equations 1. x+7=11 2. n-3= 10 3. y+8=4 4. 8y = 48 5. 1- -4 6. 15 =4 7. -...

A:

Q: id the Domain ol y= Tx-31 (x¢4/

A: Follow the procedure given below. Domain means value of x that defines the function.

Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at th...

A:

Q: 1. y’dx-(xy+ y² kdy = 0 Let the substitution y=2; y=vx; dy=vdx + xdv

A: Given that: y2dx-(xy+y2)dy=0

Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exp...

A: Let's find. 

Q: 2. x*dy +(2.xy – y° )dx = 0 Let the substitution v=2; y=vx; dy= vdx + xdv

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Q: Find the Taylor polynomial T,(x) and compute the error |f(x) – T2(x)| for the given values of a and ...

A:

Q: Let f(z) Find the values of a where f' (1) = 6. こ+7 Give exact answers (not decimal approximations)....

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Q: f (t) = 2 (sinh t) (sint)

A: The given function is: f(t)=2sinh(t) sin(t)

Q: x^3 + 3x^2 – 1 = 0, [-3, -2] Use the Fixed-point iteration method and Bisection Method  to find solu...

A:

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, , 5x -2y' 2. The functio...

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Q: 1.Determine if the following statements are mathematical or not. Provide solution. a. Today is MMW c...

A: We know a mathematical statement is either true or false .

Q: EVALUATE THE INTEGRAL OF THE FOLLOWING. INDEFINITE INTEGRALS. CLEAR

A: We will find the integral's value. 

Q: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

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Q: 3. The function (x, y)= 8r-/4x +3y is homogenous in x and y of degree 2х 4. The function (x,y)= (x' ...

A: Here ,                We have given some of functions f(x,y) which are homogeneous in x,y so we have...

Q: diverges: too e -2 dx 2. Evaluate the integral and state whether it converges or

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Q: A parallel, orthogonal, or neither? 3. Find the equation of the line through the point (0, 1, 4) and...

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Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

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Q: Use the General Power Rule to find the derivative of the function. g(x) = 4/(6x2 + 5x)9

A: