If a piece of string has been chopped up into  n  small pieces and the length of the  ith  piece is Δxi. Use sigma notation to express the total length of the string.

Q: Question 4 Use logarithmic differentiation to find the first derivative. Enter your answer without…

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Q: 72148 26110 = ?2

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Q: Find the slope of the tangent line to the curve below at the point (1, 7). √3x +2y + √5xy =…

A: NOTE: we can answer up to 3 subparts only. . take derivative on both sides

Q: Evaluate the integral by any method. x dx = / e 64 - e-2x FI +C

A: Explanation of the answer is as follows

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Q: log₂[log. (In 3x)] = -1

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Q: 12. Consider throwing a basketball straight up from a height of six feet while standing on a flat…

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Q: Evaluate the limit lim x →∞ 8x³3x² - 6x 11 - 11x - 6x³

A: Solve for the limit

Q: dQ If q = which of the following is equal ton(Q-etan)? dx q-e : tanx Q-e tanx tanx 1-e cos²x-e…

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Q: 08/298 1 4:2

A: Topic:-  Binary number system

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Q: Solve for x. 32x+24 (3*)-81=0 Round to the nearest hundredth if necessary. If there is more than one…

A: Given query is to find the value of x.

Q: Use integration by parts to evaluate the following integral. 1 12 S 0 x In 12x dx

A: Given integral:- ∫0112xln12xdx

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Q: A radioactive substance decays according to the following function, where yo is the initial amount…

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Q: For what values of p is the integal 1 x(lnx)P convergent?

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Q: (2) Suppose you lift a laptop that weighs 3.7 pounds off the floor onto a shelf that is 2 feet high.…

A: I am attaching image so that you understand each and every step.

Q: Find the limit or indicate that it does not exist. 3 HET [ ( = = 1 ₁ + (000 + ) ₁ + [Tam ² ₁] ] lim…

A: put limit value as  t=π

Q: Determine whether the table could represent a function that is linear, exponential, or neither. If…

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Q: F(x), which of the following is equal to it f(x) == F(x), dx -F(secx)? dx

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Q: 26. The population of a city is expected to triple every 15 years. When can the city planners expect…

A: As per the rule we can answer only first question and rest can be reposted.

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region 9 bounded on…

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Q: Determine whether the table could represent a function that is linear, exponential, or neither. If…

A: The given table, x 1 2 3 4 fx 10 20 30 40 We have to find the equation of fx.

Q: Q1: Find the divergence of the function G(x, y, z)= P(y, z)i + Q(x,z)j + R(x, y)k where i, j and k…

A: Solution : Given function is

Q: 1.) f(x) = x² + 2x + 1 = 0 2.) f(x) = x5-4x²+ 3x-2 = 0 3.) f(x)=x³2x²-3x-4=0 4.) f(x) = 3x² + 2x + 1…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Suppose f(x) is continuous on [-1,3] such that ƒ ( − 1) = 4 and ƒ (3) = 7. By the IVT, we can…

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Q: I am having trouble understanding your answer. How many miles should the boat land from the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 2

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Q: Which of the following is the integrating factor of the given linear DE ? dy -8cos(2x) + 6ycos(3x) =…

A: Find the integrating factor

Q: The numbers 28, x+2. 112 form a geometric progression. What is the 10th term?

A: Given that the numbers form a geometric progression.

Q: Find the local linear approximation of the function f(x)= square root of (1+x) at x0=15, and use it…

A: Linear approximation at x = a, L(x) = f(a) + f'(a) (x -a)  Therefore, the linear approximation of…

Q: For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). 8118 3 f(x) = −x6 + x³ + x² +…

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Q: You are constructing an open top box for your cat to sleep in. The plush material for the square…

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Q: The radius of a spherical balloon is decreasing at a rate of - in/sec. π Which of the following is…

A: given  negative sign because radius is decreasing

Q: A cosmetics company is planning the introduction and promotion of a new lipstick line. The marketing…

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Q: 2) d) Differentiate each function below. Be sure to use proper notation to distinguish between a…

A: To differentiate the function given below.pr=r2 tanr3r+1

Q: Use (1+x)™ = 1+[ m(m− 1) ···(m− k +1) k=1 k! Maclaurin series for (a) 1 1+x if |x| <1, to obtain the

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Q: dy Use implicit differentiation to determine given the equation xy + x¹ = y². dx dy dx ||

A: Given xy+x4=y2

Q: 2. Find the interval of convergence of the series k²(x+3)k+1 5k k=1

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Q: Use logarithms and a calculator to solve for the value of x. If an answer is not exact, round your…

A: Since you have posted multiple questions, we are supposed to only first three questions. If you want…

Q: 10. Determine whether the series Σ(1) converges or diverges. If it converges, find its sum. en en+1…

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Q: Find the absolute extrema of f(x)=2x-3x²² on the interval [13]

A: Given function:- fx=2x-3x23

Q: Consider the IVP: y' = 4xsin(y), y (2) = 4. Using Euler's method with h = 0.1, we have an…

A: As we know that; The iteration formula for Euler's method. xn+1=xn+hyn+1=yn+hfxn,yn   Given:…

Q: Suppose C(*) represents the amount of dollars spent every miles travelled. What unit does C'(12)…

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Q: Evaluate Your Answer: Answer [₁¹ 1 - 3x √x dx

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Q: -uppose that in (²)=[ 2 is an angle in quadrant 2 and that cos a 2 169 Compute the exact value of…

A: Given query is to find indicated trigonometric function.