Find the limit. lim (t i - 5 j+1² k) i+ i j+ i k lim (t i-5 j+r k) = i %3D

Q: X 75 ft 0 A pole stands 75 feet tall. An angle is formed when wires of various lengths of a feet are…

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Q: Find the arc length L of the graph of r(t). r(t) = 12 cos(t)i+ 12 sin(t)j + tk, 0<t< 2n L= 75.66

A: arc length

Q: Question Find fy for f(x, y) = eª ln(y). Sorry, that's incorrect. Try again?

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Q: 7. Find the partial fraction decompositions of the following rational expressions. a) b) (x²+11x) dx…

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Q: 구. ( 34 Cxtd) ax An 14 X? (X-1)

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Q: 4x + 2(x+1) ≥7+x

A: Solution: According to your given question, we are solving for x 4x+2(x+1)≥7+x

Q: Q7. A savings account has £25,000 invested for 4 years @ the rate of 6%. What is the value of the…

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Q: Determine the arc length of the curve defined parametrically by x(t) = 6 +3t², y(t) = 6+2+³, Give an…

A: The parametric curve,  x(t)=6+3t2, y(t)=6+2t3, 0≤t≤1

Q: Q5. Which of these statements is False А. (а?)3 — а6 в. а?а? — а 5 2.3 a a2 С. a3 = a¬1 D. a + a' =…

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

A: Given query is to find the equation of the parabola.

Q: A 25-year-old woman burns 350 - 60t cal/hr while walking on her treadmill. Her caloric intake f…

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

Q: 1. (Profit) What is the impact of decreasing/increasing radius kettle (m) with regarding to heat…

A: In the case of kettle of radius m case 1. If we increase the radius of kettle then base of kettle…

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: This is a problem related to vector calculus. Based on the green's theorem we will answer the…

Q: Find an equation for the tangent line to the curve parametrized by x = e³t sin(πt) and y = et at the…

A: answer is in next step

Q: Find the average value of f(x)= e^-x on the interval [0,2]

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Q: Evaluate the integral of the following using Miscellaneous Substitution dx 4. Sa

A: We can evaluate the given integral by using the substitution u = x⅙  and the following formulas.

Q: determine the interval and radius of convergence 1 Z-3)2+"(n² + 1) (4x - 12)" n=0

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Q: 3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be…

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Q: 9. Using first principles, determine the equation of the tangent line at point (2,2) on the curve…

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Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of -² + 7x between x = 2…

A: The region is bounded by -x2+7x between x=2 to x=5

Q: Use local linear approximation to estimate In(1.08)

A: Given problem:- Use local linear approximation to estimate ln(1.08)

Q: A theatre has a seating capacity of 250. The ticket prices for children and adults are $8.00 and…

A: Let 'x' be the number of  children's and 'y' be the number of adults. Now x≥0 and y≥0 since the…

Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: 38. F = (8xy + 3) + 4(x² + y) 5

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Q: [3 – 5i 2+41. L6 + 7i 1+8i! find the conjugate of its transpose. Given A =

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: [6x? arcsin(x)]dx

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Q: Suppose that f(x) = -9x/6. Evaluate each of the following: f'(2) = f'(5) =

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Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 360…

A: Given query is to find the amount remaining after 360 years.

Q: QUESTION 11 Find an equation of the tangent line to the curve at the point corresponding to the…

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Q: A 25-year-old woman burns 550t cal/hr while walking on her treadmill. How many calories are burned…

A: A 25 year old woman burns 550t cal/hr while walking on tradmill.

Q: Integrate on of these partial fractions. (choose any)

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Q: 2. Calculate the following transcendental integrals: a) S² exee* dx X b) S (x²+1)In (x²+1) dx cos…

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Q: 1. Find the distance from the point S(2,-3,4) to the plane x+2y+ 2z =13

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

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Σ+1+1, k+5 k(k…

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Q: Evaluate (2x - y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 5

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Q: eorem to evaluate the integral. Assume that the curve Cis oriented coun dy, where Cis the triangle…

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Q: (c) (i) Solve the linear equation: 2(3 - x) = 3(x + 5) Expand (x + 4)(x- 5) and use this answer to…

A: Part c is solved.

Q: D(x) = 62-0.1x

A: answer is in next step

Q: Approximate the net signed area under the curve y = x 2 − 2x − 2 on the interval [1, 5] using 4…

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Q: Find the area under the given curve. y = Vx +6, from x = 0 to x = 16 The area is (Simplify your…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: For the function y = f(x) = 4 1+x²³ a. Find the slope of the line tangent to its inverse function at…

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Q: Find the limit. If you L'Hopitals Rule, make sure to justify why you can use i use lim 2?e

A: We have to find the limit.

Q: Consider the curve parametrized by a = e-sin(0) and y = ecos(8) for 0 ≤ 0 < 2π. At what points (x,…

A: The parametrized curve x=e-sinθ and y=ecosθ for 0≤θ&lt;2π.

Q: 15. Indefinite Integrals (Part 1) -/3 -2 a) + cscxcot x dx b) cosx--sinxr+4csc², sin x+4csc² x dx 3…

A: Solution is done in step 2

Q: What is the summation from n = 1 to infinity, of  (3^(n+1)) / 5^n + 1 ?

A: Given that,       ∑n=1∞3n+15n+1

Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

A: We need to find slant asymptote.

Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever…

A: Solution:

Q: Question 2 Suppose f(6) = - 5 and f'(6) 5. Find the following. = d + 3x dz ((7x². : + 5)ef (²)) at x…

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