3 answers. cas (x² + 2) = x - 240 cashy X ५१ where x>0 cot 1(3) 3 1. COS S = Cea

Q: Using trigonometric substitution, what is √x²-9dx ? f x3 A sec (-) √x²_9 6x² +C B ¹ (1) - V +C (ⒸC)…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations? can…

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Q: Find the area under the curve y = Find the average value of y = 7x³ over the interval [0, 4]. 7x³…

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Q: f(x,y) = 3x-2y. R÷ the circle x² + y² = 1

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Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: Function f(x)=e-0.5x(4-x)-2Derivative of f(x)=f'(x)

Q: Question 3 3x² + 5x + 2 Let f(x) 2x² + 71 4 This function has: 1) A y-intercept at the point 2)…

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2-√x-1 1. lim 4. lim 5 3x - 4 2.…

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Q: Question 10 x²+x+1 Ja 2x²+2+x³+x So - dx = [Aƒ (x) – B ln(g(x)] + D fb dx, and if A = ,B<0, then…

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Q: Find an equation of the surface of revolution by revolving the plane curve 3y = √(9- [(x-1)] ^2)…

A: We need to identify the quadratic surface.

Q: Question 6 The IBP formula fudv=uv - fvdu can also be written as fudv+fvdu = uv Which of the…

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Q: 4x /² sin () cos (+) sin (²) dx (Consider initially the first 2 terms) 3

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Q: x²+x+1 so Ja 2x²+2+x²+x dx dx = [Aƒ (x) – B ln(g(x))] à + D fb +2 and if A=,B<0, then g(x) = .

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Q: Question 3 x²+x+1 Sa 2x²+2+x³+x -D Sa x+2' - dx = [Aƒ (x) — B ln(g(x)]å + D rb dx 2 and if A = B<0,…

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Q: Find the absolute maximum and absolute minimum of the function f(x) = 3 sin (x) cos (x) over the…

A: Absolute maximum and absolute minimum on closed interval [a ,b] : 1.) Find critical points of f(x) .…

Q: * Evaluate. [12 [20x cos(5x² - 1)]dx

A: The given integral is   ∫20xcos5x2-1 dx We solve the integral using proper substitution .

Q: Find fzyr. f(x, y, z) = x³y5₂6 + xy³ + yºz

A: Given: fx,y,z=x3y5z6+xy3+y6z We have to find fzyx For fzyx we first have to find the partial…

Q: y = 2 x + 2 -3+x

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Q: 46. Evaluate the definite integral (3x² - 4x - 5)² (6x-4) dx. 81

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: Find exactly T(1) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: our answers.

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Q: a. (7+7i)(i + 1) UNA 7+7i i+1 C. (727°) (121°) e b.

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Q: Solve the differential equation: * (D² - 3D + 2)y= 2e-x + 8

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Q: 2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave…

A: First derivative test: If the first derivative of the function is positive over an interval, then,…

Q: If y=7x²y+z³ +yz² A = y³ z² e^5x a_x + 4x4 zcosy a_y+ 2x4 CosySinz a_z. Find the following at point…

A: Given, ψ=7x2y+z3+yz2A=y3z2e5x ax+4x4z cosy ay+2x4cosy sinz az           Note: The expert is supposed…

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Radius 5 2√3 4

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Q: Do as indicated. 1 1. Let f(x) = Find the equation of the tangent line to the graph of f'(x) at the…

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Q: Compute the area bounded by the curve x=y²-2y and the line x-y-4-0₁

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Q: Evaluate the following limit using L'Hospital's rule. lim (e⁹x x⇒0+ 6x) ( ) +

A: Using LHospital Rule , limit is evaluated.

Q: Solve the given differential equation. All solutions should be found. dy_x³_8y x5 - 8y dx X NOTE:…

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

A: Given data÷

Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

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Q: which of the following sequences is converge or diverge: (²√m) ()}. {!}

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Q: If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants, 2A-3B…

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Q: x²+x+1 Sa 2x²+2+3+x A B cb dx g(x) - dx = [Aƒ (x) − B ln(g(x)] + D fb da, and if A = ‚B <0, then dx…

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Q: 33. (a) L²₁ let - 11 dx r3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Using mathematical induction. Prove that Ž {i= n(n+1) WHEN 12 1 2

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Q: A continuous O Ext F(XI = Find ***** V-V- K x has CDF X Co oxx cl 15X value of k 16 17 18 19 20 21…

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Q: P(2,-3,4), Q(4,4,5), T(1,2,7) forms a triangle. find the vector projection of QP parallel on QT.

A: Proj. of QP→ on QT→ = QP→·QT→QT→WhereQP→ = Q-PQT→ = Q-T --------------------------------------------…

Q: Compute the area bounded by the curves x=2y² and x=4+y²

A: Area bounded by two curves x=f(y) and x=g(y) is given by, A=∫abf(y)-g(y)dy ,a,b are the points of…

Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 137 u = 8i + 7j + k v = i + j…

A: Directly use the formula for the volume of parallelepiped.

Q: u be a differentiable function of du (a) (er) dr d du (b) = (6") = b. Inb dr dr 1 du (c) (In u) dx u…

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Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

A: This question is related to vectors, we will solve it using given information.

Q: y"+9y=2e³x

A: Given; y''+9y=2e3x So, we can also write as; D2+9y=2e3x So, the auxiliary equation is; m2+9=0

Q: dy II. Find Do not simplify your answers. dx 1. log; (√2x² + y) + tan(2* — 7³) = sin¯¹ (2²-1) + - Б

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. (x - 1+1/2/3 1. lim x-1 2x²…

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Q: Identify the surface in the xyz coordinate system given by the equation: z=-√(4-y^2) O cylinder O…

A: Let's find.

Q: Calculateri(t) r2(t)] and r₁(t) x r2(t)] first by differentiating dt the product directly and then…

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Q: Find the curvature K of the curve, where s is the arc length parameter. M(²) = (₁ + √2/2 =) ₁ - (₁ -…

A: we have to find curvature.