2 _9 ii)lim- t-3 t2+4

Q: Use the properties of the derivative and the given vectors to find the following. = ti+ 8 sin(t)j +…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(9t), lim t-0 e5i +…

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Q: Verify Green's Theorem by evaluating both integrals ам y? dx + x2 dy dA ay for the given path. C:…

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Q: Evaluate the integral. (5 – 2t + 3t2) dt |

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Q: 1

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Q: stimate using the trapezoid rule and Simpson's rule for et dx;n3D8 -2x+5

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Q: Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 b.…

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Q: Sx sin(3x – 2) dx |

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Q: k=0 X n-1 The sequence { Xn}, where n20, is defined by Xo = 1 and Xn= E (xx) for n 2 1. The infinite…

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Q: uences below are either arithmetic sequences or geometric seguences. For each sequence, determine…

A: Given query is to find the type of the sequence.

Q: Find the unit vector in the direction of (3, -2). Write your answer in component form. Do not…

A: We will find the unit vector.

Q: 5x2+11x+2 dx x(x+1)²

A: integration using partial fraction

Q: Use the One-to-One Property to solve the equation for x. 3x - 1 = 27 %3D X =

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Q: Find all refative extrema and saddle points of the function. Use the Second Partials Te f(x, y) = x…

A: Here,  we have given a two variable function and we have to find out all the relative maxima and…

Q: testconuer gnce and diverg ence 2+5 3"

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Q: 2 x – 4 dx .2 1

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Q: S%3200000 e° find the growth rate of S.

A: Given query is to find the growth rate.

Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = =x + 7 over the interval…

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Q: Dest. 3. Supply Sources! 6. 3. 10 7. 20 3. 10 11 15 30 Demand 15. 17 28 Find the initial solution…

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Q: x+x-6 lim X-2 x-2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the divergence of the vector field F. F(x, y) = 7XEX¡ – 9x²y2j

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Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (e', e*, -6), g(t) = 5t + 6 %3| 을r(g(t)) = 《

A: Use chain rule

Q: (ye» dy Ans. (3e* +1) 4 11. 0

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Q: What is the result of multiplication of complex numbers -V3+i and (cos +i sin )?

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Q: -(1/3), 3/9, -5/27, 7/81

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Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x and the…

A: Solution is given below:

Q: integrate dx/(x²+x)(x-1)²

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Q: +2x-15 Inkx + 51 -inlx- 31 +c In]x+51-Inx- 31+C Option 1 Option 2 |(x + 5)°| +C (*+5) +C *-3 Option…

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Q: The distance traveled in the time interval 0 <t < 4 is given by the following. -4 r4 |t2 + 6t – 16|…

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Q: Evaluate and simplify: sec(960°) – csc(960* 2/3 +6 A 3 6+2/3 B 3 2/3-6 6- 2/3 D 3

A: As we know that; The trigonometric identity; 1). 1cscx=sinx 2). 1secx=cosx 3). sin2×360°+x=sinx 4).…

Q: A balloon is rising vertically over a point A on the ground at the rate of 15 feet per second. A…

A: Let's draw the diagram first Given: dhdt = 15 ft/sec We have to find the value of dydt when h=40

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y)= 2x² – 3y –…

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Q: i 15Y4 + 32X+ 23x?+ 25X-3

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Q: Evaluate the limit: r(t + h) – r(t) lim h >0 for r(t) = (t°, sint, 1) h r'(t) = (

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Q: Solve for x. log x = - 4 0.0001 -0.0001 1.386 -4

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Q: 1. Given ä = (-2,–1,4),B = (5,2,3)and č = (-3,0,5) determine each of the followin a) ĉ b) |2ã – 7|…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: 6. Find the indefinite integral. S 3x³ V3x4 + 7 dx (Use substitution method)

A: Solving the problem by finding the value of integration.

Q: Find an equation of the plane. The plane through the origin and the points (2, -3, 5) and (5, 3, 1)

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Q: Find the positive root of the equation x + 2x2 + 10x - 20 in the interval [1,2] using Regula Falsi…

A: Let, the given function be: f(x)=x3+2x2+10x-20 And, the formula of the method is:…

Q: v (km/hr) t (hours) -b The figure above gives your velocity during a trip starting from home.…

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Q: Use a change of variables (Substitution Method) to evaluate the following definite integral. Show…

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Q: Write the expression as a single Integral -3 1. Sf f(x)dx + S, f(x)dx = -3 - 3. S f(x)dx + S, f(x)dx…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. e-4x²…

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Q: - x = (y – 2)²

A: The question is a bit unusual, because, the given equation is not a cylinder.  Instead the equation…

Q: Find the conservative vector field for the potential function by finding its gradient. g (x, y, 2) =…

A: We need to find conservative vector field.

Q: sec'xdx

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Q: Sx+11x+2 dr x(x+1) Zln|x| + 3 In|x+ 1| +C 2łn]x| + 3 In|x +1|- Option 1 Option 2 2ln|x] + 3 Inx+ 1|…

A: We can solve this as follows:

Q: Find an arc length parametrization of r(t) = (e' sin t, e' cos t, le') r1(s) = (|

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Q: The total revenue, thousands of dollars, for selling g thousand Framits is given by (a) Find all…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Assume that f(x)dx = 3 and g(x)dx = -2, find the following: 1. Sf(x) + g(x)]dx = 2. S12f(x) – g(x)]…

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