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Q: Recall that an angle making a full rotation measures 360 degrees or 27 radians. What is the degree…

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Q: If R denotes a region bounded above by the graph of a continuous function f(x), below by the x-axis,…

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Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t²i + 2tj + tk,…

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Q: Let f(x)=√x - 3 on [4, 12]. Find all numbers c in [4, 12] for which the derivative is equal to the…

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Q: 1. x²y + 2xy-5y³ =0

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Q: a.) Get an expression for an b.) Evaluate S50 c.) Find n such that Sn = -950 -2, -5, -8, -11,.

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Q: √x x² ln x dx

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Q: Find the area between y = 8 sin x and y = 10 cos x over the interval [0, π]. Sketch the curves if…

A: We have to find out the area bounded by the two given curves.

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

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

Q: Use a computer algebra system to graph f and to find f' and f". Use graphs of these derivatives to…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 6 Σ n(n + 2)

A: Given problem:-

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: A 6 inch by 6 inch piece of cardboard has square cut out of its corners so that it can be folded up…

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Q: th is the graph of the original function and which is the graph of the derivative? g f is the…

A: Given the query is to find which graph is  function and which one is derivative.

Q: Tutorial Exercise Find the average value fave of the function f on the given interval. f(x) = 16x -…

A: Given query is to find the average value of the function.

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

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Q: One historic earthquake had magnitude of 8.9 on the Riteter scale. How that had a magnitude of 8.5?…

A: Given:       If I1 and I2 are two intensities, then we are required to find I1I2. To relate this to…

Q: ep 1 Begin by rewriting the integral into the following form. 1 1= du/dx u x² + 8x + 5 x³ + 12x² +…

A: To integrate..

Q: Change from rectangular to cylindrical coordinates. (a) (3, 3, 4) (r, 0, z) =

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

Q: 27. Show that the tangent at any point 0 on the curve x = csec 0, y = c tan is y sin 0=x-c cos 0.

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Q: 343 2 1. y = x² - 9 and y = x + 3 (Answer: 6 s. u.)

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Q: Find y = f(x) given d²y dx² = 5x² + 2

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj + +x ' ||||||||||| 畫 至 X

A: Solution is given below:

Q: Use the given derivative to find all critical points off, and at each critical point determine…

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Q: y-gx cross-section base view The base of a certain solid is the area bounded above by the graph of y…

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Q: 3 We were given that = 1²ex dx = @³² = e. 3 3 Therefore, •L²³ ex+ 5 dx = 20²³ [²³ ex α 2e5 dx =

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Q: x5 (2 – x²) 5 dx

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Q: > Question 22 if y = log3 x find y' xina 01 2/xina

A: To differentiate..

Q: Question Evaluate the indefinite integral given below. [ (sin³ (sin³ (x) - 3 sin² (x)) (sin (x) — 4…

A: Given,             ∫sin3x-3sin2xsin4x-4sin3x6cosxdx

Q: Find f '(x), if f (x) = e−5x 5e O-5e^-5x 5e^-5x 5x

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Q: Solve the differential equation with complete solution.

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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Q: For a non-negative function f(x), an approximating formula for the area under curve using a uniform…

A: The area approximation formula is Area≈∑fci∆xi=1n. Where fci=Height of the ith rectangle   ci…

Q: 6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F…

A: This is a problem related to vector calculus. based on the general formula of green's theorem we…

Q: 6.S dx √1+√√x

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Get the aame answer written in bracket of (d) it is correct

Q: Quiz 2.2- Integration by Substitution Evaluate the following and post your answers in the g.…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 ≤ t ≤ 1. [(x + 3y²) dy

A: We can solve this as follows:

Q: 2 Σ(-1)". n+1 n=1

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Q: Determine whether the series is convergent or divergent. arctan 2n n = 1 O convergent O divergent If…

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Q: S 7 tan (2x) dx 2 Hint: tan²x = sec ² x - 1

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Q: 2. Write the given (total) area as an integral. (3 points each) a. The area above the x-axis and…

A: area

Q: Find the volume of the solid whose base is the semicircle y = √9 - x² where -3 ≤ x ≤ 3, and the…

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Q: 2. 2 ydx + x(x² In y-1)dy=0

A: Solution is given below:

Q: Rewrite the following series using the E-notation. 1 1 1 1 1 + + + + + + 10 17 26 37 12

A: Solving

Q: dx 1+√x-2

A: We have to solve  ∫dx1 + x-23.

Q: Find the exact area under the graph of f(x)=1 between r=0 and r = 2. Area =

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Q: √x² +16 dx

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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