III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y= (1/3)x – (1/2)x² - 2x 2. y (x2+ 2)2
Q: 1. (a) Use the Wallis cosine formula to evaluate [ cos' x dx.
A: We need to find ∫0π2cos9xdx by using Wallis cosine formula. We know that, Wallis formula , If n ...
Q: 8. Solve the initial-value problem y" – y = cosh r, y(0) = 2, y'(0) = 8 %3D
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Q: Lagrange's mean value theorem is obtained from Cauchy's mean value theorem for two functions f(x)and...
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Q: irection: If M is the midpoint of PQ, determine the coordinates of Q. M (-1, 5), P (3, 8)
A: Given coordinates of M (-1, 5) and P(3, 8) Also M is mid point of PQ Let coordinates of Q be (x, y)
Q: Advanced Math Question
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Q: Direction: Identify the equation of a circle given its center and radius. Write it in standard form....
A: Given center of the circle C(0, 0) and radius r=1.5
Q: 3. y = (- at x= 3 x+1
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Q: Determine the interval of convergence and radius of convergence of the given power scrics (r–1)" n=1
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Q: 2. Write the ODE given below in the form of a Sturm-Liouville problem. Find the eigenvalues and eige...
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Q: Construct a truth table for the given statement. Fill in the truth table. qvp (dAb)-(dvb) T T.
A: The truth table for the given statement is as below.
Q: (uvb_ vd_ AUL v b_ v d) Auvb_v d) A(1_ vbv d) A ( vbvd) O A. paqvr O B. -p AqVr C. pv-qar O D. -p V ...
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Q: 16) Breakin' Beats is charging $40 ône time service fee and $60 a month for training you on how to d...
A: Given that Breakin' Beats is charging $40 one-time service fee and $60 a month for training.
Q: Find the radius of convergen
A: Introduction: Let ∑n=1∞an is power series, then the radius of convergence of this power series is th...
Q: Answer the following questions for the following system. dr, = 2x, – 4x2 dt dr, = 4x, + 20, dt
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Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6...
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Q: 1. Prove whether or not H(x) = x² + y² – 3zy is a Hamiltonian
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Q: り(-4+70)+(s-100)
A: (-4+7i)+ (5-10i)
Q: Explain with computation and using graphs why the following limit: (x - 2)(y - 1) (2.1) - 2)2 + (y-1...
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Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t
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Q: ieN 5. (a) Uli,i+ 1]= (b) Nli, ieN ieN 6. (a) | Iro.i +11=
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Q: 12 Use the gradient to find the directional derivative of the function at Pin the direction of Q. g(...
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Q: What is the simple interest for a principal of $650 invested at a rate of 9% for 5 years?
A: Given information Principal amount P=$650 Rate of interest r=9% Time t=5 years We have to find the s...
Q: 2. Att = 2 hours, a sudden significant shock is applied to an arbitrary system modeled by the differ...
A: Given- At t = 2 hours, a sudden significant shock is applied to an arbitrary system modeled by the d...
Q: The input-output matrix for a simplified economy with just three sectors (natural resources, manufac...
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Q: t* t1
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Q: i) En=1 100 11
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Q: 4 The value ofn can be calculated from the integral -1 1+x2 Approximate T using the Weddle's rule
A: Given π=12∫-1141+x2dx=∫-1112·41+x2dx=∫-1121+x2dx Here, we have to approximate π using Weddle's rule...
Q: Find the integral
A: To find- Find the integral ∫ex sinx dx Concept Used- Integration by Parts formula: ∫ u v dx = u...
Q: Use Simpson's Rule e with n=10 Y: X Sin (x), OSXS 27
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Q: yこ(3x)2 - 5c0s x : 1(3x) |(3x)" -Scosx
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Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated va...
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Q: pVqA-r
A: Note:- In given statement, no brackets are mentioned so, we'll follow the standard order ¬, ∧, ∨, →,...
Q: . (3x²y + 4.xy' +6}dx+ (r² + 6x°y² -1}dy= 0
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Q: Q10) The series 4n Σ n =1 n²+2 a) converges to b) converges by comparison test th term test c) conve...
A: To find- The series ∑n=1∞4nn2 + 2 Converges to 0 Converges by Comparison test Converges by nth ter...
Q: Calculate the triple integral of the figure, where S is the solid contained within the cylinder x2 +...
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Q: 1.Test the function def ined by f(x.y)=xlnx- ylnx for its homogeneity. If it is homogeneous, give it...
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Q: Solve the following initial value problem: (2x + 4y)dx + (y – x)dy = 0, y(1) = 0.
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Q: Find the error propagated from the function y = x³ if an error of 0.06 occurs in the independent var...
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Q: Solve the initial value problem dy 11(t + 1) 8y = 24t, dt for t > -1 with y(0) = 7. y =
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Q: Зл then find exact value for (without solving for x) 2 If cot(x) = and A<x< a. sin(2x) b. sin
A: We know that: cot x=1tan xsin 2x=2tan x1+tan2xsin x2=±1-cosx2
Q: 1.Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by exhaustiv...
A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as t...
Q: 2/3 d y dy = x + 6 dx 3 dx
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Q: (a) If {an}=1 and {b„}n=1are both sequences of real numbers where 0 < an < bn and En=1 bn diverges, ...
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Q: Maile deposited $9,000 into a retirement account whose balance grew 4%per year. She made no further ...
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Q: A triangle has side lengths of 5 and 8 and an area of 16. Show that there are actually two possible ...
A: Given that the two sides of a triangle are 5 and 8 and area of that triangle is 16. Let sides of th...
Q: (xy²+ y²) dx + sec²(1/y)dy=0 is alan A) Variable Separable DE B) Homogeneous DE c) Exact DE D) none ...
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Q: pΛΤ p pΛF+F p V p p
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Q: An economy depends on two basic products, wheat and oil. To produce 1 metric ton of wheat requires 0...
A: Final demand =I-A-1D where D is demand matrix
Q: 5. Write out the form of the partial fraction decomposition of the integrand (Do non find the consta...
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Q: 7/2 sin 8 cos (cos a cosec 0) de (1-cos a). 2
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- The figure shows a curve C with the property that, for every point P on the middle curve y=2x^2, the areas A and B are equal. Find an equation for C.a. Find a curve y = ƒ(x) with the following properties: i) d2y/ dx2 = 6x ii) Its graph passes through the point (0, 1) and has a horizontal tangent there. b. How many curves like this are there? How do you know?(b) Eliminate the parameter to find a Cartesian equation of the curve. for −5 ≤ y ≤ −1
- Analyze the given problem. Sketch the figure described in the given. 1. The line 2x-y+3=0 is parallel to the line tangent to the curve y=2Inx.Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 81. Find the points of tangency.Find the equation of the curve at any point P(x,y) of a curve the subtangent equals -1/x