1. yʻdx + (x²+ 3xy + 4y²)dy = 0 when y(0) = 1 %3D

Q: c. A= (0 ) B = ( 4 (15 31 4 use the matrices above to solve A(B+ CX) = D

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Q: The graph of y = f(x) passes through the point (9,4). Also, the line tangent to the graph at any poi...

A: Given: The graph of y=fx passes through the point 9, 4. Also the line tangent to the graph at any po...

Q: 94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...

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Q: Find the domain of the function V3 - 4z f(z) = 22 -9 and write your answer in interval notation. Dom...

A: The domain is the set of possible input values of the function.

Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent va...

A: We are asked to find the  non homogeneous second order euqation.

Q: 4. Find and completely simplify the 6th term in the binomial expansion of: (2x - "

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Q: 10w + 4 9w³ + 7w dw

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Q: Find the antiderivative F(x) of f(x)= 3√x that satisfies F(1)=2

A: The given function, f(x)=x3

Q: Find the volume of the solid obtained by rotating the region bounded by y = x – x^2 and y=0 about th...

A: Given query is to find the volume of the solid generated. First we will find the intersection points...

Q: Spot the mistake/s in the solution. Tick the box that applies. CSC csc" da -2 dx 3 S cccx cot x dx *...

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Q: Consider the following revenue function, where R is measured in dollars. R = 80x – 2.5x2 dR Find the...

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Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

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Q: Eliminate the arbitrary constant in the equation: a.) x²y = 4+Cy b.) y-x = C1e^x + C2e^-2x c.) y = 2...

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Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

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

A: Given:

Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the poi...

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution :2x2+y22=25x2-y22×...

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: 124 Х 209

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Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 27. y 2r(x + 2)² 29. y = x(r - 5)² 31. y = 4x(x + 5)* n= 27r - 2 26. y = x(x - 1)* 28. y = 3x'(x + 3...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: 1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D be the point on...

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Q: onsider the ellipse E in the xy-plane defined by the equation ax2 + y2 = 1 where a is positive. (1)...

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Q: What is the range of g(x)( 1/2)^x - 4

A: Topic:- algebra

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

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Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

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Q: 6x2 – z+1 1→7 2x2 + 3x - 1 Find the limit, if it exists: (Do not use L'Hospital's rule) lim Note: Gi...

A: limx→76x2-x+12x2+3x-1

Q: (In(x))? 3

A: We have to apply rules of integration to solve the problem

Q: INTEGRAL EVAL

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Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x dydx=C1(e2x3(-sin3x)+2e2xcos3x)+C2(e2x3cos3...

Q: -3 evaluate the integral (x2 – x + 2) dx using its definition.

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Q: 4) y -2sin x, y=-2cos x, X -- 6' 6.

A: Since you have posted multiple question in this question which re not interlinked so i have solved f...

Q: (2xy – tany)dx + (x² – xsec³y)dy = 0; y(1) = =

A: Given:

Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + ...

A: Topic:- integration

Q: Find the limit , if it exists:(Do not use L'Hospital's rule) 16 lim 2→16 16 Note: Give the exact ans...

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Q: The augmented matrix of a linear system has been reduced by row operations to the form shown. Contin...

A: topic - solution of linear equations using matrices

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: Find the Taylor series expansion of f(x) = x – x³ at a = -2 Select the correct response: 6 – 11(x + ...

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Q: II. Application of Derivatives 3. Find the tangent line to f (r) = (2– 4x²)° at z = 1.

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Q: f (t) = -6te-3t + 9t

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Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)?. 7-6 sin? x...

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Q: Setup the integral that will give the area of the surface generated by revolving the curve f(1) = ov...

A: Follow the procedure given below.

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: 1 2e*dx where e = 2.7183 0.

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Q: On the graph of f(x) = cot x and the interval 2T, 47), for what value of x does the graph cross the ...

A: Follow the procedure given below.

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3)

A: Given:      Points 0,0,2, 2,4,1 , -2,3,3 Recall that we can generally write the equation for a plane...

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

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Q: At time t = 1, a particle is located at position (x, y) = (4, 1). If it moves in the velocity field ...

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Q: 14х10+8 еx F (x : 4 x' + 13

A: Given: fx=14x10+8ex4x+13

Q: cion of the tangent line to the curve at the point

A: