Differentiate the following. Do Not Simplify. y=(sin x)(lnx) b) y = (e² + √√cos x) c) y = = a) |1−tanx 3x³

Q: Find the arc length of the curve on the interval. r(t) = t²i + 12tj, 0≤t≤ 6 The figure shows the…

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Q: -10 -5 f(x) 10 10 5 10

A: Note: Since the student has posted 2 sub-parts of the question in which the part (1) is complete and…

Q: 3 3 3 2 (49) (+91 i- -74+ i n n n integral, that is provide a, b and f(x) in the expression f(x)dx.…

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Q: Test Σ n 1 2" n! for convergence

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Q: 2y dx + x(x² In y − 1) dy = 0.

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Q: 13. A radioactive isotope has half-life of 43 days. What percent of the original amount remains…

A: Topic:- application of algebra

Q: 12. How long will it take an investment that earns 17.6% annual interest, compounded continuously to…

A: Above quedtion is solved. Only one question is solved. Solving more than 1 question is against the…

Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²

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Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

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Q: it a rock is dropped from a height of 288 ft, its poistion t seconds after it is dropped until it…

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Q: y = -x³ + 9x² - 3 concave upward concave downward Submit Answer x0

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Q: f(x) = -2x² + 7 7x 10 - if x ≤ −1 if x > -1

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Q: Which of the following represents a possible equation for a sinusoidal function with an amplitude of…

A: answer is in next step. please give a like!!

Q: -6-5-4-3-2-1 6 I 4 3 2 L -2 -4 -5 T 2 3 4 5 6 X

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Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy

A: integration using partial fraction

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: Find all local extreme values of f(x) = - The FIRST local extreme value, moving from left to right…

A: Topic:- application of derivatives

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

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Q: 6) Evaluate dx (x+1)(x² + 4)

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Q: Find the average value on the interval [2,5] of the function whose graph appears below. average…

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Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

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Q: Evaluate the integral: J22 SVA-2 01- [] π [] +C dydz 4-2² e² +²

A: double integration using polar form

Q: C. Domain Range D. Domain Range

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Q: A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy dx 3 +…

A: We have given differential equation  dydx=3+18xxy2 y2dy=3+18xxdx Integrating both sides…

Q: Calculate r' (t) and T(t), where T'(t) = ( T(t) = { r(t) = (8+t, (9+t), 2+2t). ).

A: Given vector function r(t)=8+t, -9-t, 2+2t

Q: The graph of the function f(x) is shown below. State all values of x in the ope which the function…

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Q: Write the interval in set notation. [2, 6) {x | 2 < x ≤ 6} {x | 2 ≤ x < 6}   {x | 2 ≤ x ≤ 6} {x | 2…

A: Write the interval in set notation. [2, 6) {x | 2 &lt; x ≤ 6} {x | 2 ≤ x &lt; 6}   {x | 2 ≤ x ≤ 6}…

Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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Q: 150 5 -4 -2 100 50 -50 -100 -150 200! 2 4 6 8 Xx

A: We know that, The highest point the graph ever reaches is the absolute maximum. The lowest point the…

Q: If fa rsin xd a. -6 b 6312 C. 6 d - 3 2 = -x³ cos x + 3x² sin x + k fx x sin xdx, find k

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Q: Find the length of the curve r(t) = Interactive 3D Graph (√2t, et, e-t) over the interval 0 ≤ t ≤ 1.…

A: The given curve rt=2t, et, e-t over the interval 0≤t≤1 To find the length of the curve on the given…

Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

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Q: Find the limit of s(n) as no - + [n(n+¹)] s(n) Submit Answer

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Q: Use spherical coordinates to calculate the triple integral of f(x, y, z) = x2 + y + zz over the…

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Q: The derivative of f(x) = tan- is: Select one: O a. O b. O C. O d. 1 x² cos² 1 -1 x² cos² 1 xcos² 1 F…

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Q: The derivative of f(x)=sec x is Select one: a. sin x COS X O b. C. O d. sin ² x 2 COS .X sin x cos²x…

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Q: dy 18. x dx (1 + x)y = xy²

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Q: Explain why the integral is an improper integral and evaluate it: =dx √x-2

A: Given integral:- ∫251x-2dx

Q: 49. y' + (-) x =) = xy²

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Q: slope y-intercept Draw the graph. ● No Solution y=- — x Help -10 m = (x, y) = 88 x -3 -2 -1 10 0 8 7…

A: Graph

Q: The function f is shown below. What is the value of answer in simplest form. -10 -9 -8 -7 -6 -5 -4…

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Q: 4. Solve the following equation by completing the square. Be sure to show all steps. (round answers…

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Q: y 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6 X

A: We can find the Domain and Range of the function.

Q: An internet bookstore charges $15 shipping for orders under $100 but provides free shipping $100 or…

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Q: tan' (2)

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Q: 5. dy/dx = sin(x + y). ANS. x+c = tan (x + y). sec (x + y).

A: Please see the below picture for detailed solution.

Q: Find the length of the given curve: where -4 < t ≤1. r(t) = (-2t, 2 sin t, 2 cos t)

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Q: An investment of $40,500.00 earns 1.8% annual interest, compounded continuously. How long will it…

A: Given problem:- An investment of $40,500.00 earns 1.8% annual interest, compounded continuously. How…

Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

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