Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

Q: 7- cos y dx + (x siny-cosy)dy = 0 8- (1+ y²)dx + (2xy + y² + 1)dy=0

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Q: Consider the function below. ex f(x): 8 + ex (a) Find the vertical asymptote(s). (Enter your answers…

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Q: Express the repeating decimal as a fraction. 47134343343/100 0.4713 43 43 43...

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Q: Use long division to divide. (Simplify your answer completely.) (8x237x - 15) + (x - 5) X = 5

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Q: a. The plane through P(0,2,-1) normal to n=3i-2j-k

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Q: A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of…

A: It is givne that, A car-sharing service offers a membership plan with a $50 per month fee that…

Q: 4) The area of the surface generated by revolving x= y²-1, 1≤ y≤ 2 about x-axis is S=...

A: To find the area S of the surface generated by revolving x=y2-1, 1≤y≤2 about the x‐axis.

Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

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Q: find the to the the tang horizontal. X-volves at which the _9x+2 Y = ex curve ent

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Q: Consider the function below. (If an answer does not exist, enter DNE.) C(x) = x¹/5(x + 6) (a) Find…

A: Let's solve.

Q: Consider the function f(x) = x²-4 x²+2x-8 (a) Find the x and y intercepts of f(x) (b) State the…

A: Explanation of the answer is as follows

Q: Find the plane determined L1: x=-1+t 12: x=1-4s by the intersecting lines: y=2+t y=1+2s 2=1-1-3-1-00…

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Q: Find cosh² (t) sinh5 (t) dt.

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Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: The objective of the question is determine the area bounded by the given curves.

Q: 10. Find s(t), the length of the curve r(t) = from time 0 to t. What is the speed s'(t) of an…

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Q: Find the volume generated by revolving the given plane area about the given line using the washer…

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Q: For each function, determine whether it is a polynomial function. Function (a) v(x)=3x² +0.6x4 (b)…

A: polynomial can have constants (like 4), variables (like x or y) and exponents (like the 2 in y2),…

Q: company determines that its weekly online sales, S(t), in dollars, t weeks after online sales began…

A: We have to find out the weekly average sales amount

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: Evaluate the 106 -20 (-7m+300)

A: We need to evaluate: ∑m=-20106-7m+300

Q: 3. A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by…

A: To find the dimensions of the box.

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 7 sin(x) + 7 cos(x),…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: We know, Average velocity =Total DisplacementTotal time

Q: Use long division to divide. (Simplify your answer completely.) (5x³-16 - 20x + x4) = (x²-x-3) 1-√13…

A: Note :- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Sketch a graph of f(x) 5 4 3 2 1 -5 -4 -3 -2 -1 - 1 { 0 if x ≤ - 2 x + 1 if -2 2 2 3 4 5 Open Dot…

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Q: - 2x - 4 if x 2 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 4 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 -8 Clear…

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Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

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Q: -1₁ - S. -3√ 42² + +81(1+z)² dy .dz y = Z =

A: The answer is given below:

Q: Sketch a graph of a function f that satisfies all of the given conditions. lim f(x) = -co, lim f(x)…

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Q: If y = ecos(x) then y" + sin(x) y' +cos(x) =

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Q: Find the differential equation such that y(x) = c₁(x-4)³ + c₂ln(x-4) (x-4)² 64x²d²y + 2 +60x+y=0 dx²…

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Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: A general solution of the separable DE. y'=. =y+1 y + 1 O inly + 1 = ²2 +C Oy²+2y=x²+C 0y² + y = x²…

A: To solve the given differential equations.

Q: Curve Sketching Week #14 Sketch the graphs of the following functions. Pertinent aspects of the…

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Q: 4) Find equations for the planes: b. The plane through (1.–1,3) parallel to the plane 3x+y+z=7

A: Given problem:- Find equations for the planes:   b. The plane through (1.-1,3) parallel to the plane…

Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let ₁ 2 be the…

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Q: 2 [[ (2a³y+9y³)d.A., D is the region bounded by y = x and y = 2√x. 3 33522 1050 1996 5 4811 None of…

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Q: Determine the center and radius of a circle given that its equation is x² + 12x + y² - 6y = 4 Use…

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Q: Given the function f(x) = 3x - 2, find and simplify the following values: f(a) = f(a+h) = =…

A: Given,  f(x)=3x-2

Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

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Q: Suppose that the polynomial function fis defined as follows. f(x)=(x-13)²(x-8)³(x+4)³ List each zero…

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Q: At what points of R² is the following function continuous? xy if (x,y) = (0,0) f(x,y) = 5x + 4y 0 if…

A: This is problem of limit and continuity. Based on the general formulas and concepts we will answer…

Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx y = S₂ 9x² +9

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Q: Sketch by symmetries and translations with find domain and range of the following curve: y = 2 +…

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Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

Q: Find the locations and values of all relative extrema for the function with the graph below. Ay 10 Q…

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Q: In the figure, the equation of the solid parabola is y=x²-4 and the equation of the dashed line is y…

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

A: The given intregration,∫sin2θ3-7sinθdθ

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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