Show your complete solution: Evaluate the triple integral pl+y² xdtdydx 1-x S S T 2y

Q: P(x)=92x-x^2-1760 find limx->40 P(

A: Apply the limits and find the value

Q: Q2: Solve the following int (1) dx 1 (x+3)(x+7)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series. (1)…

A: (1) The given series is ∑n=1∞n(x-1)n

Q: (xx) 2. 6. 3. 7. 8. 9. 10. 11. 16. 17. 12. 18. 19. 13. 14. 15. To divide a decimal number by 1000,…

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Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: given u = and v= find 2u+5v

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Q: S 2 (2x² + 1) dx

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Q: ¡¡y y cos x² dx dy Evaluate the double integral by reversing the order Show your answer in details.

A: Change the order of integration and then  change limits respectively

Q: 1 2. √ √x dx dx 3. 3 Sx15x15x-xt)dx х-х

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A. Find the following limits. Answer four only. x-¹-1 i. ii. iii. lim- X-1 X-1 lim 4x-x² X-4 2-√√x…

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Q: (B): Find the tangent equation to the curve y = sin²x at point x =

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Q: 2 √(√sinx + cosx)² dx

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Q: Find the area of the given region. y = sin(x) y 2 R|4 + + T Зл T

A: In this question we have to find the area of the given region.

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x - sin²x

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: In this question we have to find the value of b and c.

Q: Find the radius of convergence for: 6nxn n! n=1

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Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x sin²x (2) lim, o…

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Q: Calculate approximations of tan(π/4-0.1) by using Taylor polynomials P₁(x), P2(x), P3(x). Use c=π/4.…

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Q: Calculate the double integral. 16 9(1+x²) 1+ y² dA, R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 1}

A: Please see the below picture for detailed solution.

Q: The figure to the right shows four regions bounded by the graph of y=x sinx: R₁, R₂, R3, and R4,…

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Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j-6k ;

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: Find the radius of convergence, R, of the series. Σ n = 0 R (-1)^_x³n (2n)! Find the interval, I, of…

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Q: 1.5 Integrate 10(2x + 1) dx Answer 1

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Q: of x³ (4+x²)² dx ; Use rationalizing substitution

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Q: Use implicit differentiation for x² + y² O x/y O 5x O-x/y O -5x = 25.

A: To find the derivative.

Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: Find the general solution of the differential equation y" 10y' +61y = 0. NOTE: Use c₁ and ca as…

A: find the general solution of differential equation y"-10y'+61y=0

Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) 02 dx ; u nein!! sin x+cos x (2) […

A: We have to calculate the given indefinite integral according to the given information

Q: ƒ (t) = (sin(t) — ¼ t³)³ - 3 9 g(y) = (2y — 5)-4 — 2² (2y – 5)-² -5 f(x) = (√x + x)¯°h(x) where h(x)…

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol 1-cos x sin²x (2) lim, o…

A: 3 1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0 (tan-1x-x) x-3

Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: Q2: Solve the following in 7x²+14x+15 (1) f dx ; (x²+3)(x+7)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The figure to the right shows four regions bounded by the graph of y=xsin x: R₁, R₂, R3, and R4,…

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Q: nd an equation of a plane passing through the following 3 points (1,-1,-1), (-4,1,4), (3,5,3)

A: topic- equation of plane through three points equation of plane passing through three points…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x 2…

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Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: Solve the following differential equations: a- cos (x+y) dx +(3y2 +2y +cos (x + y) dy=0 b- y = (x +…

A: Given a- cos (x+y) dx +(3y² +2y +cos (x + y) )dy =0 b-y'=(x+1)e-xy2

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000+ 100x +…

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Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: 7. Use integration tables to find or evaluate the integral. (Use C for the constant of integration.)…

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Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³

A: We can answer the question as below.

Q: Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be…

A: Solution is given below:

Q: :) [x²ai 6.) sinxdx

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Q: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

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Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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