Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

Q: Consider the equation below. f(x) = 5 cos2(x) – 10 sin(x), OsxS 2n (c) Find the inflection points. (...

A: f(x)=5cos2(x)-10sin(x)Differentiate f'(x)=10cos(x).(-sin(x))-10cos(x)f'(x)=-10cos(x)(1+sin(x))Differ...

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = (13/x) on the in...

A: The graph of the function is fx=13x over the interval 2,6

Q: Find the derivative of the function. F(t) = e7tsin(2t) 7t sin(21); cos(2t)+7e' 7t sin(21)sin(2t)| F'...

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Q: Consider the following. z = x2 + y2, x = 3s + 7t, y = s +t az az and as Find by using the chain rule...

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Q: x+6 7)

A: Given problem:- (x+6)/(x-1) >0 Solve the given inequality

Q: Evaluate the given expression. d [1.7(x – |x|)] dx

A: follow next step

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Q: Consider the equation and the given point. f(x) = (x - 3)(x? + 6), (1, -14) (a) Find an equation of ...

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A: We have to find the rate of change in velocity of blood.

Q: Newton's method and the following formula are used to calculate the true interest rate of a loan, wh...

A: In this question we have to apply Newton method.

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x1, x2) = x +x subject to the c...

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Q: Obtain the general solution. (x2 – xy + y²)dx– (xv)dv = 0 O x(2 - 1)e\/x -č O y - 1)e×/Y = C OC- xly...

A: Given the differential equation is x2-xy+y2 dx - xy dy = 0

Q: r 64 In(y) 49 VY

A: We need to solve definite integral.

Q: For each of the following functions, find the indicated derivative using the definition. f (x) : 1+ ...

A: Find the derivative

Q: The velocity of a car is f(t) = 5t meters/second. Use a graph of f(t) to find the exact distance tra...

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Q: Resources Let f(x, y) = In(x) + In(y), r(1) = (cos(t), t). Use the Chain Rule to calculate 4f (r(t))...

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Q: Find the critical numbers of f (if any), find the open interval(s) on which the function is increasi...

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Q: y(x) =x' (2x – r²)

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Q: Find an equation of the tangent plane to the surface at the given point. 6x2 + 2y + 4z? = 30, P= (2,...

A: Explanation of the answer is as follows

Q: y(x) =x' (2x – r²)

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Q: Fexsys = -xy + %3D 2 what are Hhe two criticas ints?

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

A: For the sequence convergence, limit n tends to infinity should be finite.

Q: 4. S sinºx dx

A: This question can be solved by applying the concepts of integration of trigonometric functions.

Q: b b-a b-a Use the equation f(x)dx= lim 2 fa+k- to evaluate the following definite integral. n→0 k = ...

A: Given query is to find value of the integral.

Q: Queskon (2): skKctch and ind Range.- 2) frx)= 4-Vx-5 ) fon= (x +2) -4 fox)= -Ix +3 +5 u) froys 2-V5+...

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Q: A piece of wire of length 61 is cut into two pieces. One piece is bent into a square and the other i...

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Q: Determine the particular solution. v²dx + (x² + 3xv + 4y²)dy = 0; x = 2, y = 1

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Q: Two vertical poles, one 8 ft high and the other 16 ft high, stand 18 feet apart on a flat field. A w...

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Q: の dy Sーメ+ リーX +5

A: This is a problem related to differential equation. Based on the general formula we will solve the q...

Q: dz a) $. Y z – 10

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart...

Q: INTEGRATION OF TRIGONOMETRIC FUNCTION Evaluate the given integrals. Show the complete solution. Iden...

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Q: 2. S cos-1 x dx

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Q: the radius of convergence R of the series. ř 8^ (x + 4)^ Vn n = 1 R = Find the interval of convergen...

A: Solve the following

Q: Obtain the general solution. (xy)dx + (x² + v²)dy= 0 OC- 2(x2 + xy + y?) OC- y^(2x² + y?) OC = y(2x2...

A: Given (x.y)dx + (x² + y²)dy = 0

Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the...

A: We can find the required answer as below.

Q: Find the area of the region bounded by Vx2 + y?=4, y+4%3D0,y-4=0 and x-10=D0

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Q: (2) The graph of f(x) = is the transformation of the graph of y = -'x shifted (A) 2-units left and 3...

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Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is 2,4, or 7.

A: We have to find probability of die rolled twice

Q: Let f(x, y, z) = 4xy – z² , x = 2r cos(0), y = cos²(0), z = 5r. Use the Chain Rule to calculate the ...

A: Given : f(x,y,z)=4xy-z2, x=2rcos(theta) y=cos2(theta) ,z=5r.

Q: Evaluate the following integral using partial fractions: 2x2 + 1 (x – 1)(x - 2)(x - 3)

A: Topic:- integration

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: 2 Given a circle with radius, r, and a sector with area, A, formed by angle of 0 radians. Find a for...

A: Here we have to find the area of the sector.

Q: Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

A: topic =derivative

Q: x6 12 10- 12

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Help

A: Topic:- simplification

Q: Find the sum of the convergent series. n = 0

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Q: xdx + sin? (2) [ydx – xdy]

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Q: Write the equation of the line tangent to the curve xe = 6y + 7 at (7, 0). %3D

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Q: Find dy/dx in terms of t if x = t – t, y = 2 – 5t dy/dx = %3D

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