x² + ax − 2bx - 2ab-x³-2ax² - 2bx² dx x² + ax³ - 2bx³ - 2abx²

Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: Q2: Solve the following first-order differential equation x.e +y.- = 0 for y(0) = 1; x = 0. dx (2)…

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Q: Evalute ff Rx²dA, where R is the region in the first quadrant bounded by the hyperbola xy = 16 and…

A: The given integral: ∫∫Rx2dAWhere R is the region in the first quadrant bounded by the hyperbola…

Q: Evaluate the ff (show all steps) Y x dx x ³ - 2x² - 2x - 4

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Q: 6. The acceleration of the position function s(t) = 4t² - 8t + 2 when t = 7. a) 7 b) 48 c) 142 d) 8

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Q: Find the Maclaurin series of co E cos(x³). n=0

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Q: Find the following for the given equation. r(t) = 8 cos(t)i + 8 sin(t)j (a) r(t) = (No Response) (b)…

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Q: its wrong please do it again

A: To find fx, if,f''x=2+cosx, f0=7, fπ2=2

Q: •. Sketch the graph of a continous function & f(2)=1 f'(2)=0, the point (2,1) is 1 1 1 1 2 I is…

A: We have to sketch the graph for given question.

Q: Problem 4. A particle moves back and forth along a straight line with a velocity of v(t) = 1-²…

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Q: 10. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

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Q: Evaluate the integral. Select the correct answer. 6 6 x In (19x) - 12/15 x + C none of these 16 x In…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: Solve the differential equation by variation of parameters. y" + 2y + y = et In(t) y(t) =

A: The given differential equation is; y''+2y'+y=e-tln(t).

Q: fror Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 2x² 3…

A: We have to find the surface area of the solid.

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: To find the equation.

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: Evaluate the indefinite integral given below. Provide your answer below: f(-5x-3)³ dx = ¯ [(-5 (-5x…

A: The objective is to evaluate the integral.

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

A: In this question we have to find the length of the curve.

Q: Find | 22 x²z ds, where C is the line segment from (0,4,-6) to (2,9,-5)

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Q: im →0 In[(x + h)² + 1] + ln(x² +1) h

A: Given: limh→0lnx+h2+lnx2+1h

Q: (9) Find the limit for the given function. h lim (P-3r) mi (sin (8t))² हर t-Do Ne-xst

A: This question is based on limits.

Q: Find all solutions of the equation in the interval [0, 21). cos²x = 1+ sinx Write your answer in…

A: Topic = Trigonometry

Q: 47. Suppose cote>0 and sec 0 <0. In which quadrant could terminate? (A) Quadrant I (C) Quadrant III…

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Q: Find the tangent line approximation T to the graph of fat the given point. Then complete the table.…

A: The function f(x)=csc(x), 9, csc 9

Q: Q2 a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel to the…

A: We have to solve above question of vector and 3D.

Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 4x2x² g(x) = c₁f₁(x) + c₂f₂(x) +…

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Q: a T c. 10 ml Convert the following (us

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Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -1 f (x) 2 3 (a)…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: The base of a solid is the circle x² + y² = 9. Cross sections of the solid perpendicular to the…

A: Given: x2+y2=9

Q: (6xy - 3y² + 2y)dx + 2(x − y)dy = 0; when x = 0, y = 2

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Q: Find the radius of convergence and the interval of convergence. xk k(k + 5) Radius of convergence:…

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Q: h'(x) = cosxcot(sin^3x)+cosxsinx ⠀ h(x) = sin(x) -2 (cos(t³) + t)dt

A: Applying Leibniz's rule

Q: Let f be a function given in the graph below. Note that the domain of f is [-3, 4]. a) Does f have…

A: Given the graph of a function. To determine whether the function has an inverse on the given…

Q: Problem 3 Find a curve in the xy-plane passing through the point (1, 3) and for which the normal…

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Q: Problem 7 Proof that if lim f(x) exists then it must be unique i.e., x→a if lim f(x) = L and lim…

A: In this question, we want to prove that if a limit of a function exist then it must be unique.

Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

Q: Q.1: Solve the differential equation below; xy' + 4y = 8 x4

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Q: [tanh (0.12 – j0.05) ]In(sinj0.5)

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Q: Q1 Pick a number A number is chosen at random from the whole numbers 1, 2, 3, ..., 25. Work out the…

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Q: 800 100-ex/2 50 es 9.621.

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Q: Step 2 Apply the rule of integration by parts. J u dv = uv - Submit J Let dv = ew dw and integrate…

A: topic- indefinite integral

Q: Locate the absolute extrema of the function on the closed interval. g(x) = x² - 2x, [0, 9] minimum…

A: Given that      g(x) = x2 - 2x ,    [0,9]

Q: If y=mx+b is the equation of the tangent line the curvey=x²-3x+5, which is parallel to the secant…

A: Let's find slope and y intercept.

Q: Find ₁²² x²dA where R = {(x, y) | 4x² + 25y² < 100}

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Q: x2/3+ y2/3=4 from x =1 to x = 8. Find the arc length of the curve x²

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Q: Verify that the function satisfies the three hypotheses of Roll's Theorem on the given interval.…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Complete the proof of Property 4 of the following theorem by supplying the justification for each…

A: We have to complete the proof of property 4.

Q: Question 2 a) [ ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere,…

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Q: Use Green's Theorem to evaluate the line integral of F= over C which is the boundary of the…

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