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

Q: 1. fx² In x dx = f x² dx f ln x dx =(lnx-1) + C 3 Is the solution correct? If your answer is yes,…

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Q: While measuring the side of a cube, the percentage error incurred was 3%. Using differentials,…

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Q: long as 1 235 times as long 235 times as long 235 times as long 360 235 times as long 2π 360 times…

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Q: Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find…

A: topic - trigonometric ratios sec θ=1cos θ=hypotenuse basecos θ =base hypotenusecot θ=cos θsin…

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

A: Given problem:-

Q: dx Find -given that dt 7x² + 6y² = 13 x = 1, y = - 1, and Give your answer as a simple fraction. dx…

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Q: Solve the solution: (D2 - D - 2)y= cos x

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Q: Verity Green's Theorem by evaluating both integrals ƏN [x² dx + x² αy = [] (2 - 0) A √y² dy dA ax ду…

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Q: Find the arc length L of the graph of r(t). L: = r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0≤t≤ 2π

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Q: Identify the equation of the normal line of the funtion f(x) = -3x at x=2

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Q: Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent,…

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Q: f sin √x dx

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Q: The manufacturer of color televisions can sell 1600 sets to his dealers at $427 each. If the price…

A: The manufacture of color televisions can sell 1600 sets to his dealers at $427 each. If the price is…

Q: Victoria is skiing on a circular ski trail that has a radius of 1.2 km. She starts at the 12-o'clock…

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

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Find the volume of the solid generated when the area bounded by the curve y^2 = x, the x-axis and…

A: Let's find.

Q: Estimate the integral right-hand sum with n = 3 subdivisions. Left-hand sum Right-hand sum - [₁2 2…

A: To solve the following problem

Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…

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Q: Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

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Q: I. Read carefully the statements below. Write TRUE if the statement is always correct, otherwise,…

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Q: [2 2x³ (x² − 1)² – dx|

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Q: Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and then…

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Q: Derive the following functions. Basic Rule should be applied.  y= x^5 - 3√x

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Q: Activity 3. Problem Solving. Solve the problem. Show and illustrate your solution. The ladder 7.5…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Solving

Q: Problem # 15 7 tan (2x) dx use: tan²x = sec² x - 1

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

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Q: specu A cyclist is riding a bicycle whose wheels have a diameter of 20 inches. Suppose he is…

A: We have to calculate angular speed and revolution.

Q: A company determines a cost function of C = 6x² - 180x+2000, where is the cost (in dollars) of…

A: Given: We need to find the value of x for which c is having minimizes the cost. So,…

Q: Scos2x (2 cos2x-1) dx

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Q: Find the volume of the solid generated when the area bounded by the curve y^2 = x, the x-axis and…

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Q: Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent,…

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Q: Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0

A: Solution of given question is written in below steps.

Q: ad all values of x For w/c the graph of f lies above the graph of. f(x) = 49x; g(x) = 1

A: Given the query is to find the values fo x for which f is greater than g.

Q: Verify Green's Theorem by evaluating both integrals ƏN [ 1² dx + 2² dy - [ ] (™N - OM) a dA ax ду…

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Q: Step 2 1 To find the integral S H x cos 8x dx by the parts formula, use u = x and v = Apply the rule…

A: This is a problem related to integration. Based on the general formula of integral by parts we will…

Q: Find a logarithmic equation that relates y and x. (Round all numerical values to one decimal place.)…

A: Given table: x 1 2 3 4 5 6 y 0.250 1.414 3.897 8.000 13.975 22.045 To find: A logarithmic…

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

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

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: Find T(t) and N(t) at the given point. r(t) = (t² − 3)i+tj; t=3 T(3): N(3) = =

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Q: Evaluate [² (2x − y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3

A: C:x- axis:y=0dy=00≤x≤3=∫03(2x-0) dx +(x+0) 0=∫032x dx

Q: PS. Evaluate fff(3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: Solving

Q: Let f(x) = x² - 1 on [-2, 3], Part A: What is the slope of the secant line connecting the function…

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Q: = cot = C C In (x² + y²) + 4 arccot =

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Q: The heights on the graph of f'(x) correspond to the slopes of the lines tangent to the graph of f.…

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: Differential

Q: In x dx = fx²dx fln x dx = (Inx-1) + C the solution correct? If your answer is yes, provide the…

A: Given query is to find the solution of the integral.

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. [x x cos…

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