implicitly differentiate 3xy = 2

Q: A population P exhibits logistic growth according to the model +=0.05(1-when -=0.05P 1- where the…

A: Concept: The explicit solution for the population at time t is P(t)=751-Xe-0.05t Now at t=0 the…

Q: 2. For the function f(x) = 2 + 2x²x4 (a) Find the intervals where f(x) is increasing and decreasing…

A: Please see the below picture for detailed solution.

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

A: Given that. At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15…

Q: How to simplify (9/7) ln | 5+2logt |

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Q: Evaluate: fcos In(sin 0 + 4) de O sin In (sin 0 + 4) - 2 cos 0 + 3 ln sin 0 + 4] + C O None of these…

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Q: Let y = sin(4x). If Ax = 0.2 at x = 0, use linear approximation to estimate Ay Ay~ = Find the…

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Q: Let f(x) = x³ - 2x². 1. Find critical numbers of the function. Type your answer here to separate…

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Q: Use the functions f and g in C[-1, 1] to find (f, g), f, g, and d(f, g) for the inner product (f, g)…

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Q: Consider the following function. f(x)=x²+3x²45x + 8 (a) Make a sign diagram for the first derivative…

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Q: 2 Given y=x² +5X-8 as X changes from 1 to 1.2 from 1 to 0.8 Find Ay and Ay Ax

A: Answer in step 2.

Q: Show that the following series of functions converges to a continuous function on R. n² + x4 n² + x²…

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Q: If csc(x) = 6, for 90° < x < 180°, then sin (1/2) COS 0s (1/2) = = N|E tan()-[ =

A: Given Expression: cscx=6, for  90°°&lt;x&lt;180°

Q: dy dx Find Do not simplify. . (a) cos (x + √) + tanh ¹(sin² x) = ln 3+ y sech 2

A: The given equation is; Cos(x+ sqrt(y)) +tanh-1(sin2x)= ln3+y sech(1/x2)

Q: The oscillating current in an electrical circuit is as follows, where I is measured in amperes and t…

A: We have to find the average value.

Q: Find the derivative of the function. f(x) = In(cosh(x)) f'(x) =

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Q: Question 2 xy dx + (x²-3y) dy=0

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Q: 7. Find the torque produced by a cyclist exerting a force of F = [70,30,160]N on the shaft- pedal a…

A: Given F = [70,30,160]N d= [12,15,11]cm

Q: at x = 7/6 = 7/6 for f(x) = cos(x).

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Q: Evaluate the slope at the point (2, 0) for: y² + sin(y) = 3x² - 12

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Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1…

A: We need to write down the formula for the polynomial.

Q: A Moving to the next question prevents changes to this answer. Question 4 Given: y² + t² + (e2y +…

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Q: Find y' for y = 8x³ + 5x² − 7x + 4 - A) 24x + 5 C) 83x² +52x - 7x B) 3x² + 2x - 11 D) 24x² + 10x - 7

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Q: (poiny Find the equation of the tangent line to the graph of the equation sin ¹(x) + sin¯¹(y) = at…

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Q: 2. Express as a power with base 3. a) 9×3* b) 2x c) 9¹ d) 27**2

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Q: Consider the function f(x) = 5 - 8x² on the interval [-6, 5]. Find the slope of the secant line on…

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Q: Given: y' + OA.0 OB. 1 OC. 2 OD. 1/2 OE. None 3 (1-2x)y and y(0) = 1, Find C

A: Given  differential equation:- y'+y3=131-2xy4

Q: Evaluate the iterated integral 3π 32 SS 2π x cos y dy dx.

A: Given, ∫23∫π3π2x cos y dy dx

Q: Identify the level curve of the function g(x, y) = xy − 9x for c = 8. Write your answer in terms of…

A: given function g(x,y)=xy-9xwe need to identify the level curve for C=8

Q: Evaluate f O 3√x+1 2 (x+1)² 2 O 3(x+1)² 2 dx 1+ 3√x+1 +3√x+1+C +√x+1 − 3 ln|√x+1+1| + C + 3√x + 1 +…

A: Given, ∫11+x+13dx

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime7ti + sin(6t)j + e-9tk…

A: Find the limit of each term individually

Q: The functions fand g are differentiable for all real numbers, x. The table below gives values of the…

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Q: Find and compare the values of dy and Ay for the function at the given values of x and dx = Ax.…

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Q: Problem 2: Given the differential equation (2xy - elnx-x²) dx + dy = 0: a. Identify whether the…

A: Given the differential equation 2xy-eln x-x2 dx+dy=0:a To identify whether the differential equation…

Q: Consider the curve defined by the equation y = 6x² + 4x. Set up an integral that represents the…

A: Given query is to setup the integral to find the length of the curve.

Q: 1. Given vectors ū(-3,2,6) and (4,1,5) determine the angle between ū and v

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Q: 4. For each differential equation and function x₁(t) given in parts (a)-(c), x₁(t) is a solution to…

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Q: Question 4 xy' - (1+x) y = xy²

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Q: Find the distance traversed by the tip of the minute hand on a clock between 4:18 P.M. and 6:58 P.M.…

A: llet t1 = 4:18 and t2 = 6:58 ( t2- t1 ) = 2 hours 40 minutes                 = ( 2 + 4060) hours…

Q: an 6η – 8 6η + 3

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Q: Given the differential equation (cos (x + y) + 1) dx + (cos (x+y)-sin y) dy = 0 a. Determine if the…

A: The given differential equation is  (cos(x+y)+1)dx+(cos(x+y)-siny)dy= 0

Q: Given the differential equation ex(e-x+ ev) dx + ev(ex + 1) dy = 0: 1. Identify whether the…

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Q: Find the equation of the tangent line to the curve y=5xcosx at point (pi,-5pi) the equation of this…

A: Find the equation of the tangent line to the curve y=5xcosx at point π,-5π the equation of this…

Q: Use a local quadratic approximation to approximate tan 61⁰

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Q: 4. Consider the function f(x)=√x-1. Find f-¹(x) and sketch the graphs of y = f(x) and y = f(x) on…

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Q: If f'(x) = 4 sec²(x)etan(4x) and f(0) = 96 then f(x) =

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Q: f(x) = x³ - 6x² + 4, x ≥ −1. d the minimum value of the function: ve where the minimum occurs. Type…

A: Topic:- application of derivatives

Q: Find the linear speed of a point moving with uniform circular motion, if the point covers a…

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Q: d ri(t)= (31,-12+2,1-4) r2(1) = (3e', cos(t), t³-3). eir parametrized curves intersect at the point…

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Q: Set up a system of equations and then solve using inverse matrics. A manufacturer of portable tools…

A: we need to find the number of sets.

Q: Given that  f(x)=x^9h(x) h(-1)= 3 h'(-1)=6  calculate f'(-1)

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