18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0 (4, -3) (-8, 3) (8, -3)

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

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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 volumes for the following solids whose heights are defined by Z(x,y) and bases are the…

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Q: b) Find the mixed partial derivative at the point (1, 2). g(x, y) = sin(x) In (2y) + y ln(x) + 2xe³x…

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Q: dy II. Find Do not simplify your answers. dx ㅠ 1. log;(√2æ² + y) + tan(xª — πª) = sin¯¹(x² − 1) + ½…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

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

A: Given: limx→ -11+1x32x2+x-1

Q: Compute the quadratic form x Ax for A= Xx₁ 12 - a. x = b. x= 1 X2 a. x¹Ax= 3 2 [1] 10 C. X = and…

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Q: 6x5-25x+8x3+43x²-8x-12 4. Find (3x+-11x² +9x²-11x+6) (9x²+12x+16) -dx if this can be reduced to 63…

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 = lim t→+∞0 (?, ?) 4t² +5't

A: limt→∞t2+44t2+5, 1t

Q: Using trigonometric substitution to solve: sin 2x + C 8 cos x√3-cos²x sin 2x 4 cos x√4-sin²x secx 8…

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: d (h) (cot ¹(2)) = d (i)=(sec ¹(1))= = d (j) (csc-¹(2)) = dr 1 du 1+² dz 1 du I√²-1 dz 1 du I√²-1 dr

A: Given problem:-

Q: 5. Given: G(x, y) = 4y¹ sin(2x³) Gyxy(x,y). What other 3rd order partials are equivalent to Gyxy(x,…

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Q: Please solve the problem with complete solution. Thank you

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Q: 5. f(x)= x³; [2, 3]

A: To calculate area under curve we have to integrate the function within the given limits Please note:…

Q: C. y = 5x² + 2, x=0, x=2, y = 0

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Q: (x + 2)(6x - 1) (6 - x)(4x + 2) Find the horizontal asymptote of f(x) = 4- y=

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Q: Integration of Algebraic Functions By trigonometric Substitution dx 6. S x²√4-x² dx 7. S- √81+x² X…

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Q: II. Find 2. y = Do not simplify your answers. dx tan ¹(cosha) (sin² x)(secha)secz [use logarithmic…

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Q: d d Calculate[r₁(t) r₂(t)] and ==[r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: /² sin sin ( π/4 x² dx (x²+4)5/2 (Use trigonometric substitution) fe2x+Inx² sin x² dx = = Find f…

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Q: ://v². dx √1-x² dx √√2. x√x²-1 (ª (¹² - 31/₁) dr (1. 25. 27. 29.

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Q: II. Find Do not simplify your answers. 1. log, (2x² + y) + tan(x − ³) = sin−¹(x² − 1) +

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Q: 12. lim [ln(t) sin(t)] t→0+

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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: e3-6-2, if x 3 = 3. 1. Determine if f is continuous or discontinuous at x = 2 and x =

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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: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2x 3x lim x-2- (-²-2- -3X=42) x -…

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Q: Q2) Which of the following series is converge or diverge Σ{"} ,0.7777777777777 n=1 . Σ n=1 27

A: a)=∑n=1∞ n-1n2=∑n=1∞ 1n-1n2{using p-series test:∑n=1∞ 1np converges only when p>1diverges for…

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: A 0 B) 48 32 D) 96 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: The given problem is solved below in detail.

Q: Use r = 6cos(7 θ) and r = 6

A: r1 = 6                                              1r2 = 6cos7θ      θ ∈0,π…

Q: Solve equation by using the quadratic formula. List the solutions, separated by commas. 4t² +t-1-0

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Q: Question 2 Consider the equation: 2²-11-12 A) First, use the "completing the square" process to…

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Q: +x+1 2x² +2+x³+x dx = [Aƒ'(x) − B ln(g(x)] + D, and if A=B<0, then f x+2 -2x + +5In(x + 2) + C 2 x²…

A: Solution of the problem as follows

Q: Find sec 2x -dx. tan 2x cot82x (4sec 22x-1) (A) 12 1 1 I B 12 tan 2x 16 tan 82x Ⓒ -co1²2x-co1³21+ C…

A: Here is the solution

Q: Consider using the method of partial fractions to solve dx x²+x+1 2x²+2+x³+x - dx = [Aƒ (x) − B…

A: Given problem:-

Q: II. Find Do not simplify your answers. dy da tan ¹(cosh x) 2. y= (sin² x) (sechar)sec z [use…

A: Given data÷

Q: √x²-9 √ di Using trigonometric substitution, what is f - dx ? x3

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Q: Write an equation for a function that has a graph with the given characteristics. The shape of y =…

A: We can find the correct answer as below.

Q: Question 10 The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 4 and roots of…

A: Solving the problem by finding the value of P(x)

Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. f(x) =…

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Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z. 8118

A: Given problem :- use squeeze  theorem evalute limx→-∞sin(sin(hx))csc(hx)

Q: IV. Do as indicated. 1. Let f(x)= where z = 1. 1 ²+1 Find the equation of the tangent line to the…

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Q: S 1 xvx²-2x dx = √x²-2x X +C

A: To prove that ∫1xx2-2xdx=x2-2xx+C